%Paper: 
%From: Sylvie Zaffanella <zaf@amoco.saclay.cea.fr>
%Date: 11 Feb 93 14:36:22+0100

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\line{\vbox{\halign{\hfill#\hfill\cr
Nice INLN 93/1\cr}}
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January 1993\cr}}}

\noindent Saclay Spht/93-011
\vglue3cm
\centerline {\bf ANGULAR INTERMITTENCY IN QCD JETS}
\vskip2truecm

\centerline { Ph. Brax$^\#$, J.-L.
Meunier$^*$,
and R. Peschanski$^\#$ }
\bigskip
\vskip 2truecm
\centerline{ ABSTRACT}
\medskip
Using two methods, via fluctuations and correlations,
an analytical formula is derived for the factorial multiplicity
moments in a QCD jet at the Double Leading Logarithm accuracy. The
resulting
self-similar dependence on the solid-angle cell size is
characteristic
of an intermittency behaviour in angular variables. The intermittency
indices depend on the diffusion angle  through the running
of
$\alpha_{s}$. Physical features of jet fluctuations
such as collimation at large angles and saturation  at small angles
are well described in the perturbative framework.
A parameter-free prediction of angular intermittency is proposed for
${\cal Z}^0$ decays into hadrons, assuming hadron-parton duality.

\vskip 3truecm


\vfill

\adresses{\noindent * {Institut Non Lin\'eaire de Nice, Universit\'e
de Nice-Sophia
Antipolis}, {Parc Valrose, 06108 Nice Cedex 2, France}: Unit\'e Mixte
de
Recherche du CNRS, UMR 129, }


\adresses{{$^\#$ Service de Physique Th\'eorique}, {Centre d'Etudes
de Saclay, F-91191 Gif sur Yvette cedex, France}:
Laboratoire de la Direction des Sciences de la Mati\`ere du
Commissariat \`a l'Energie Atomique.}

\eject\vglue 2.9truecm
{\bf I Introduction}
\bigskip
The observation of multiplicity fluctuations in multiparticle
production reactions at high energy is quite old \ref{1}, but it is
only relatively recently\ref{2} that a quantitative method of
analysis has been proposed and its results discussed in terms of the
supposed reaction dynamics. Interestingly enough, a set of non
trivial dynamical (by opposition to statistical) fluctuations has
emerged, with the intriguing possibility\ref{2,3} of a self-similar
scaling behaviour as a function of a small cell size in momentum
space,
called "intermittency" by analogy with hydrodynamics. However, the
 system at stake being ultrarelativistic and involving Quantum
Physics, is very far from the classical areas where
intermittent behaviour have been studied; Moreover, in Particle
Physics, it is not easy to identify the possible origin of
intermittency and more conventional models has been proposed as an
alternative\ref{4}. It is thus of importance to investigate this
problem in the framework of the standard theory of strong
interactions - Quantum Chromodynamics (QCD) - and in a case where it
is
known in principle to be calculable, namely in the weak-coupling
perturbative regime of jet physics. This is the goal of the present
paper.

The method designed to study multiplicity fluctuations from event to
event in a given phase-space cell (to be defined later on) makes use
of the so-called scaled factorial moments expressed as follows:
$$
{\cal
F}_q(\Delta)={\moy{n(n-1)\dots(n-q+1)}_\Delta\over\moy{n}_\Delta^q},
\equat{I-1}
$$
where $n$ is the particle multiplicity in a phase space cell of size
$\Delta$, in which multiplicity fluctuations are expected.
 Intermittency is characterized by a scale-invariant behaviour
of the scaled factorial moments, namely
$$
{\cal F}_q(\Delta)\propto \Delta^{-f_q}\equat{I-2}
$$
where the constants $\{f_q\}$, usually called intermittency indices,
play the role of anomalous dimensions of the fluctuation pattern.
Indeed, the intermittency indices can in principle be related to the
Renyi dimensions ${\cal D}_q$ characterizing a set of fluctuations.
It reads\ref{5}
$$
{\cal D}_q=1-{f_q\over q-1}\equat{I-3}
$$
where ${\cal D}_q$ measures the defect of phase-space dimensionality
due to
intermittency (the dimension $1$
in \Form{I-3} corresponds to an uniform distribution in the
$\Delta$ cells for all events).

It is to be noted that the same relations \Form{I-1,2,3} can be
quite
equivalently interpreted and discussed in terms of
correlations\ref{6}. Indeed, on has the following relation:
$$
{\cal F}_q(\Delta)\propto \int\dots\int_\Delta\prod_1^q d\omega_i
\rho(\omega_1,\dots,\omega_q)
$$
where $\rho$ is the differential multiplicity density distribution
for $q$ particles in the phase space $\Delta$ integrated over the
variables
$\omega_i$.  In
particular, the existence of an intermittent
behaviour \Form{I-2}, can be traced back to the existence of a
singularity
in $\rho$ at very short momentum distances\ref{7} and thus in the
corresponding correlation functions\ref{6}. In fact, these two
different "languages", fluctuations and
correlations, though equivalent, lead to two different calculation
methods of the factorial moments in the perturbative QCD framework,
as we shall see further on. This will serve as a non trivial
check of the calculations, as the final result is obtained in
 both ways.

A behaviour compatible with \Form{I-2} has been found in various
reactions
analyzed in terms of the rapidity $y$, azimuth angle $\varphi$ and/or
transverse momentum $P_\perp$ of the produced particles around the
jet
reference axis\ref{8}, giving rise to a lot of phenomenological
discussions and models of various types\ref{9}. However, the
observation of an intermittent behaviour in \epm anihilation into
hadrons\ref{10} and especially in the ${\cal Z}^0$ hadronic decays at
LEP\ref{11} has raised a particular interest. Beside the quality of
high-precision, high-statistic events allowing the non-trivial
extraction of the factorial moments from data, it offers    the
possibility
of a comparison with perturbative QCD
predictions, either "indirectly" through Monte Carlo simulations
including full hadronisation models or "directly", at the level of
partonic shower and assuming parton-hadron duality\ref{12}.

Indeed, the evidence that Monte-Carlo models of \epm
annihilation into jets could naturally lead to intermittent patterns
has
been numerically obtained in Ref.[12], but the hadronization scales
imply a "saturation effect", namely a stabilisation of factorial
moments beyond some small cell-size in rapidity. As a matter of fact
at LEP
energy,
Monte-Carlo models based on Perturbative QCD plus an hadronization
model give
a satisfactory description\ref{11} of 1, 2 and 3-dimensional factorial
moments, with some non-negligeable, but limited      discrepancies
when various experimental cuts are performed. However, here also, the
role of hadronization in the final result can be important, or at
least remains ambiguous. Indeed, two different Monte Carlo's
procedures,
the "Parton Shower Models" and the
"Matrix Element Models" give quite similar results\ref{11}, while the former
admits a rather extended parton cascading and the second is limited to
at most 4 final partons before hadronisation takes place. In this case,
almost all the effect is encoded in the hadronization model.

On the theoretical side of the question, it is possible to estimate
factorial moments at the parton level using  the
leading log approximation of the perturbative expansion.
For instance, evidence for an intermittent behaviour was
numerically obtained from a simulation of a gluon cascade\ref{13},
using a simplified version of a QCD jet. The results can be compared
with
data by assuming the LPHD\ref{14} (local parton-hadron duality
hypothesis).
Then, a quite systematic
study
has been analytically performed in the framework of the
so-called "dipole approximation"  of the quark-gluon
radiation
allowing a determination\ref{15} of fractal dimensions related to
gluon
cascading. Note that these dimensions are considered in Ref. [15] as
being
different from intermittency anomalous dimensions, we will later come
back to this interesting discussion.
Two more recent papers, one using planar diagrams\ref{16}, and one in
the framework of multiparton correlations\ref{17} will also be
discussed in comparison with our methods and results.

Our aim is to obtain the most general Perturbative QCD prediction at
the
double leading log approximation (DLLA) for the pattern of
fluctuations/corre-
lations within a parton jet. In the analysis based on fluctuations,
one
will be inspired by some methods used in the paper of ref. [16]. For
the
correlation analysis, the method is borrowed from the calculation of
energy-multiplicity correlators, which already led Y. Dokshitzer and
S. Troyan
to the discussion of factorial moments \ref{18} and have been
recently developped in a different context, see
\ref{19}.

The key points we want to address, using
the present state of the art\ref{20},
can be summarized in a series of questions:

\hskip 1truecm{\it i)} Is Perturbative QCD intrinsically intermittent
?

\hskip 1truecm{\it ii)} In which variables this property of
fluctuations shows up

\hskip 1truecm{\it iii)}  What are the anomalous dimensions
characterizing the intermittency behaviour?

\hskip 1truecm{\it iv)} How to perform the phenomenological   analysis   of the
DLLA predictions?

\hskip 1truecm{\it v)} Why intermittency appears in Perturbative QCD
calculations?

As we shall now see in the derivation, the main result of our study
is
that                the question {\it i)} is investigated in detail
and
answered positively; From that study, one also gets a precise
 answer to questions {\it ii)-v)}. This is the
subject of the present
paper, which is organized in the following way:
In  section II, we use  a first method - the {\it fluctuation}
approach - to get a first hint to the calculation of the factorial
moments and the emergence of angular variables in the structuration
of fluctuations. However, an ambiguity remains about the energy
variable, which in section III is resolved by the method of
{\it correlations}
 while confirming the validity of the
first results. The
 fourth section is devoted to the description of the resulting
intermittent behaviour and to a discussion of the important
difference between fixed and running coupling constant which
leads to
QCD scaling violation effects of a new nature ("saturation effects").
The
resulting "angular intermittency" property is discussed both for its
phenomenological implications and its comparison with previous
approaches.
Finally, in section V,
we propose  some comments on the roots of the intermittent behaviour
in a
quantum field theory like QCD and discuss open
problems
and suggestions for further study.

\bigskip

{\bf II Intermittency from fluctuations in a QCD jet}
\bigskip
Let us start from the well-known multiplicity generating
function\ref{20} of one gluon jet with opening angle $\Theta_0$ and
energy $E$, ${\cal Z}(E\Theta_0,v)$:
$$
\eqalign{ &{\cal Z}(E\Theta_0,0)=1\cr
&{\partial {\cal Z}\over \partial v}\big|_{v=0}=\moy{n}=\bigf_1\cr
&{\partial^q {\cal Z}\over \partial
v^q}\big|_{v=0}=\moy{n(n-1)(\dots)(n-q+1)}=\bigf_q\cr}\equat{II-1}$$
where $\bigf_q$, by difference with \Form{I-1},
are for non-normalized and {\it global}
multiplicity moments. Note that the generating function depends kinematically
on the product $E\Theta_0$, i.e. the highest parton transverse
momentum\ref{20}.

 ${\cal Z}(E\Theta_0,v)$ obeys the following evolution equation
\ref{21}~:
$$
{\partial{\cal Z}\over \partial \ln \Theta_0}\equiv \dot{\cal
Z}={1\over 2}\int_{z_0}^{1} {\alpha_s\over 2 \pi}\Phi_A(z)\left[{\cal
Z}(Ez\Theta_0,v){\cal Z}(E(1-z)\Theta_0,v)-{\cal
Z}(E\Theta_0,v)\right]dz\equat{II-2}
$$
where $\Phi_A(z)=4C_A\left({1\over z}+{1\over 1-z}+ ... \right)$
$C_A$
is the gluon color factor, and $z_0 =\mu /E\Theta_0$ the cut-off from
the non-perturbative region. This equation is given in terms of an {\it
energy integral} and  seems a priori different from        the
{\it   multiplicity density integral}  typical  of an intermittent
Random
Fragmentation Model\ref{22} whose evolution  is however also governed
by
a quadratic non-linear equation (see farther, Eq.\Form{ II-8,9}).
Up
 to non leading terms the equation \Form{II-2} can be
simplified to :
$$
\dot{\cal Z}\simeq{\cal Z}\int_{z_0}^1\gamma_0^2{dz\over z}\left[{\cal
Z}(Ez\Theta_0,v)-1\right]\equat{II-3}
$$
with $\gamma_0^2=4C_A{\alpha_s/ 2\pi}$.

Let us first consider the simplified case of a fixed coupling
constant $\as$.
The first-moment equation can be integrated from the smallest angle
possible, $\Theta_\mu=\mu/E$, (where $\mu$ is some infrared cut-off
of the order of the  hadronic scale), up to $ \Theta_0$:
$$
\moy{n}\equiv\bigf_1\propto \exp{\gamma_0\ln{E\Theta_0\over
\mu}}\equat{II-4}
$$
which represents the well-known total multiplicity of gluons in a jet
of angular aperture $\Theta_0$ in the fixed-coupling regime. Then,
the other moments equations can be obtained from \Form{II-3} as :
$$
\dot{\bigf_q}=\sum_1^{q}C^p_q\bigf_{q-p}\int_{z_0}^\infty{dz\over
z}\gamma_0^2\bigf_p(zE,\Theta_0)\equat{II-5}
$$
where the $C_q^p$ are the binomial coefficients. As is well
known\ref{20} such distributions follow asymptotically the KNO
scaling law, namely$$
\bigf_p=c_p\bigf_1^p\equat{II-6}
$$
where $c_p$ are known constants. Using \Form{II - 4} and \Form{II -
6}, the integral in \Form{II - 5} can be done explicitely, and the
equations takes the following form:
$$
\dot{\bigf_q}=\sum_1^{q}C^p_q\bigf_p\>\bigf_{q-p}{\gamma_0\over
p}\equat{II-7}
$$
where one can notice the transformation of the convolution in
\Form{II-5}
into a mere product, independent of the values of the
constants $c_p$.

 As a matter of fact, this set of equations is
identical to the one obtained for a generating
function of the global multiplicity distribution ${\cal H}(\Theta,u)$ of a
semi-random fragmentation model\ref{22-23} (Figure 1) which obeys the generic
equation:
$$
\dot{\cal H}={\cal H}(\widetilde{\cal H}-1)\equat{II-8}
$$
with
$$\
\widetilde{\cal H}(u)=\int_0^1 r({\rm w}){\cal H}(u{\rm w})d{\rm
w}\equat{II-9}
$$
whose            kernel is given by the distribution:
$$
r({\rm w})=\delta({\rm w})+{\gamma_0\over{\rm
w}}_{\big|_+}\equat{II-10}
$$
where the + stands for the Principal-Value distribution. The equivalence
between \Form{II-7} and \Form{II-8} is easily obtained by differentiation
in $u$ at $u=0$.
\midinsert
\figur{fig1.ps}
%\fig{12}{fig1.ps}
\caption{{\it Figure 1} : Sketch of the random fragmentation cascade. In grey,
 the "history" of the bin $\Delta$, i.e. the successive random multiplicative
factors ${\rm w}$ which define the multiplicity density in $\Delta$ for
one event. $Y$ (resp. $\Delta$) is the initial (resp. final) observation range.
As
a simple illustration from the figure, the bin density is $\rho_{\Delta}=
\rho_{Y}
 {\rm w}_{1}{\rm w}_{2}{\rm w}_{3}   {\rm w}_{4} $ where $\rho_{Y}$ is the
initial density,
and the w's are the random
or unity weights (see text)
corresponding to the semi-random structure.}
\bigskip
\endinsert

More precisely, the equations \Form{II-3}, \Form{II-9} are
obtained in the framework of Random-Branching Random-Cascading
fragmentation models\ref{22-23}, with a "time" variable to be identified, up
to
a constant,  with
$\ln \Theta_0^{-1}$. The model can be described as a tree of
random
multiplicative weights w (Figure 1), with the following recepe:
There is a unit probability per unit time to have a new
branching; At each such vertex, one branch brings the (deterministic)
weight 1 and the other gives a random weight w following the
probability law $r$(w) defined by \Form{II-9}. In \ref{22}, it has been
called a
 {\it semi-random} model.
 The $q\neq 0$ moments
of the distribution $r$ are precisely $\overline{\rm
w^q}=\gamma_0/q$, while its normalization is kept to be $1$.
This kind of kernel has been used in another context\ref{22} and
exhibits explicit intermittency properties . For this class
of fragmentation models to be compared with QCD
cascading,
the corresponding (positive) time variable runs from $0$ to
$\ln E \Theta_0/\mu$.

Now comes the step between the {\it global} formulation of a
random cascading model (formula \Form{II-7} for the
multiplicity moments $\bigf_q$ and \Form{II-8} for their generating
functions ${\cal H}$) to a {\it local} formulation for the factorial
moments ${\cal F}_q$ defined in \Form{I-1}. For this sake, one used to
introduce the generating fonction of the local moments, namely $H_\Delta$.

In the random fragmentation models described in
ref. [22-23], the development of the cascade gives rise
to the following equation governing the {\it local}
intermittent fluctuations:
$$
\dot{H}_\Delta=\widetilde{H}_\Delta - H_\Delta,\equat{II-11}
$$
where $H_\Delta$ is thus the generating function of the multiplicity
distribution
in a cell of size $\Delta$.
Qualitatively, Equation \Form{II-11} comes from the fact that along the path
leading to
the cell $\Delta$, see Figure 1, one encounters either weights $1$ or w, taking
 into account the semi-random structure of the model. The technical derivation
requires some care and has been obtained in two ways, either from the global
equation \ref {22}  or from a subdimensional equation \ref {23}. Note
that in order to figure out the (average) number of cascading steps,
the size of the cell $\Delta$ is to be compared with the large
scale of the problem, namely the initial range $Y$ (this model was originally
used for rapidity cells\ref{22,23}, but it can be extended to any other
relevant variable). The
corresponding "time" variable is indeed related to $t=\log {Y/\Delta}$.

Let us now come back to QCD. Indeed, in the present case, the cell one
is led to consider is {\it angular}, and its size $\Theta$ has to be
compared with the only large scale one has in
the problem (on an event by event basis),
namely the observation angle $\Theta_0$. Thus, the natural evolution variable
 involved in the
equation \Form{II-11} is $t=\log\Theta_0/\Theta$. This choice  can also be
understood as a reflexion of the QCD angular ordering \ref{20};
Angular ordering is the property of QCD jets at leading-log order
that, when partons are detected in the direction $\Theta_0$
with respect to a jet axis, the
maximal aperture of the "sub-jet" of partons contributing to the observation
is of the order of the observation
angle, with a subsequent degradation of the diffusion angles along the cascade.


{}From \Form{II-11}, one obtains  the following
solution for the angular factorial moments :
$$
\eqalign{{\cal F}_q(\Theta_0,\Theta)&\propto
\left[{\Theta_0\over\Theta}\right]^{(q-1)(1-{\cal D}_q)},\>{\rm with}
\cr
{\cal D}_q&={\gamma_0}{q+1\over q}\cr}\equat{II-12}
$$
expressing an exact power law \Form{I-2} in the angular variable
$\Theta$,
for a
fixed coupling constant, i.e. fixed $\g0$.

A series of remarks can be made about the result
\Form{II-12}.

\hskip 1truecm{\it i) The fixed coupling
constant regime}

 The intermittency property \Form{II-12} is
exactly realized at fixed coupling constant. However, one has to
verify the condition ${\cal D}_{q}<1$.
or, in words, that the Renyi dimension is smaller than the
support dimension of the
set of fluctuations\ref{5,3}. In \Form{II-12}
this is obtained for $\g0\leq \frac{2}{3}$,( $q\geq2$), or
equivalently, $\as/2\pi\leq 1/9N_c$, which means a rather weak
coupling regime. This corresponds to the QCD parton cascade in its
initial development. A correct treatment of the full cascade requires
taking into account the running QCD coupling.

\hskip 1truecm{\it ii) 2-dimensional result and collimation}

Motivated by the appearance of an angular
variable in \Form {II-12}, one can introduce the azimuthal
angle $\Phi$ in the game by considering the jet development in the
overall solid angle specified by the couple ($\Theta, \Phi$).
 Indeed, a slight modification of the arguments developped for \Form{II-11}
shows that one can embed a two-dimensional branching in a
higher $d$-dimensional phase space; It is enough (with some conditions of
uniformity\ref{24}) to introduce
($d-1$) other branches at the same vertex with zero multiplicative
weight (no particle produced), in the definition of the random
cascading model. This
can be interpreted as the {\it
collimation}
property of QCD jets.
 Indeed, it is not too difficult to realize that the {\it global} QCD
equation  \Form{II-3} remains unchanged by integration over the $d-1$
other
variables ($\Phi$, in our case) while the {\it local}
equation \Form{II-11} becomes :
$$
\dot{H}_\Delta=\widetilde{H}_\Delta-dH_\Delta+d-1\equat{II-13}
$$
With this physical interpretation and using \Form{II-13}, one finds
for the embedding into the 2-dimensional space ($\Theta, \Phi$),
 i.e for the  factorial moments
 in a solid angle phase-space cell of size $\Delta\Omega\simeq \pi
\Theta^2$,
$$
\eqalign{{\cal F}_q(\Delta\Omega)&\propto
\left[{\Theta_0\over\Theta}\right]^{2(q-1)(1-{\cal D}
_q)},\>{\rm with}
\cr
&{\cal D}_q={\gamma_0\over 2}{q+1\over q}\cr}\equat{II-14}
$$
Note that the
energy-momentum development of the QCD cascade corresponding to
formula \Form{II-14}
implies a "2/3-collimation" at each branching, since 1/3 of the cone
contains no particles in the equivalent fragmentation-model
framework.

\hskip 1truecm{\it iii) The running coupling constant case}

The extension of the fluctuation analysis to
the QCD running coupling constant is not too difficult. The
whole derivation essentially remains the same, except that one has to
take into account the $\as$ dependence on $\Theta$ in the solution of
the differential equations \Form{II-3} to  \Form{II-11}.
The final formula reads:
$$
\eqalign{{\cal F}_q(\Theta_0,\Theta)&\propto
\left[{\Theta_0\over\Theta}\right]^{d(q-1)(1-{\cal
D}_q)},\>{\rm with}
\cr
&{\cal D}_q(\Theta,\Theta_0)
={q+1\over dq}{\int_\Theta^{\Theta_0}
\gamma_0(\as(\theta))\>d\theta/\theta\over\ln\Theta_0/\Theta}\cr}
\equat{II-15}
$$
One retrieves expression \Form{II-12} by the approximation
$\as=cst$. As can be remarked from formula \Form{II-15}, the $\ln
\Theta$ variation of the coupling constant will induce a modification
of the behaviour of ${\cal D}_q$ which will, in general, depends on
both $\Theta_0$ and $\Theta$ and not on their only ratio. Thus one
may expect a modification of
the power-law \Form{II-14} - and of the intermittent behaviour
\Form{I-2} - due to the running of the coupling constant.
This effect is in fact related to the well-known QCD scaling
violation
of the structure functions observed in deep inelastic scattering.
 It is thus of importance to take into account the correct
$\as(\Theta)$ behaviour to compute the Renyi dimensions
${\cal D}_q$ in \Form{II-15}. However, this behaviour
depends on the genuine scale    on which $\as$ depends.
 A good candidate\ref{21}
is the parton relative transverse momentum $P_\perp$, but then, care
must be taken of the evolution of the parton energy $k$ in the jet,
since $P_\perp\simeq k\Theta$. Neglecting the energy loss      would
allow us to choose $k\equiv E$ (the initial energy of the gluon
jet), another extreme being to consider $k\equiv \mu$, the infra-red
cut-off;
We shall complete the discussion in the next section III,
removing this ambiguity, and shall define the concept of {\it angular
intermittency}
implied by \Form {II-15}.
\bigskip
{\bf III Intermittency from correlations in a QCD jet}
\bigskip
Let us now introduce the method of refs. \ref{18,19}.
For sake of simplicity, we start  again considering the fixed
coupling regime.
The correlation of two multiplicity flows in this case is sketched
in the
graphs of Fig.2a-b.
Here the gluon jet with initial energy $E$ and production angle
$\Theta_0$
evolves producing a soft offspring $k$ which then splits into two
partons
(gluons) with relative angle $\Theta_{12}\leq \Theta\ll \Theta_0$
generating the registered
particle flows.
Due to angular ordering the resulting 2-body correlation can be
written (after a few thechnical manipulations described farther) as a
convolution of the energy spectrum of parton $k$ with the product of
the two
multiplicity factors, namely :
$$
(4\pi)^2(1-\cos\Theta_{12})\frac{d^2 N^{(2)}}{d\Omega_1\,
d\Omega_2}=4C_F\frac{\as}{2\pi}
\int^{E}\frac{dk}{k}\>
\tilde{D}\left(\frac{E}{k},\frac{\Theta_0}{\Theta}\right)\cdot
2\dot{N}(k\Theta_{12})N(k\Theta_{12})\equat{III-1}
$$
where $\tilde{D}$ denotes the energy spectrum originating from
cascades
with parton emission angles {\it larger} than the given $\Theta$ and
$\dot{N}$ means the multiplicity derivative with respect to the
argument.
Notice that the colour factor $C_F$ in the emission probability of
the gluon $E$
corresponds to the case of the quark as an original parton shown by a
horizontal
line in Figs.2. This
quark line can be thought of as determining the main direction
of the hard
process under consideration (e.g., the quark jet direction in
$e^+e^-$ annihilation).
Note that Eq.\Form{III-1} is written for the  differential
distribution as a
function of the solid angles $\Omega_1$ and $\Omega_2$,
with $\Theta_{12}$ the angle between the two triggered partons.
\midinsert
\figur{fig2.ps}
%\fig{10}{fig2.ps}
\caption{{\it Figure 2} : Kinematics of parton-parton QCD
correlations;
a) Location   of the phase-space cell $\Delta$ in polar coordinates;
b)
schematic
representation of the convolution formulae [ III - 1,5 ].}
\bigskip
\endinsert
    The last factor in \Form{III-1} has emerged after performing the
integration
over the relative energy fraction, $z$, in the decay of the parton
$k$,
$$
\int_0^1 dz\>\> 4C_A\frac{\as}{2\pi}
\left\{\frac{1}{z}+\frac{1}{1-z}+\ldots\right\}
\>N(zk\Theta_{12})N((1\!-\!z)k\Theta_{12}) \approx 2
\dot{N}(k\Theta_{12})N(k\Theta_{12})\equat{III-2}
$$
where we only accounted for the infrared-singular (logarithmic) terms
of
the gluon
splitting probability and made use of the DLLA evolution equation
for the
(gluon) jet multiplicity\ref{20},
$$
\dot{N}(Q)\equiv \partder{\ln Q} N(Q) = \int_0^1 \frac{dz}{z}\ \
4C_A\frac{\as}{2\pi} \,N(zQ)\>\equat{III-3}
$$

To obtain the factorial moment $F_2$, i.e. the {\it integral}
multiplicity correlator, one has to integrate \Form{III-1} over
$d\Omega_1d\Omega_2$ keeping the relative angle between the two
directions smaller
than $\Theta$.  Observing that
$$
\int \frac{d\Omega_1d\Omega_2}{(4\pi)^2}
\frac{\vartheta\left(\Theta\!-\!\Theta_{12}\right)}{(1-\cos\Theta_{12}
)}
= \frac{d\Omega_1}{4\pi} \int_0^{2\pi} \frac{d\phi_{12}}{2\pi}
\int_0^{\Theta} \frac{\sin\Theta_{12}\>d
\Theta_{12}}{2(1-\cos\Theta_{12})}
\approx \frac{d\Omega_1}{4\pi} \int_0^{\Theta}
\frac{d\Theta_{12}}{\Theta_{12}}\equat{III-4}
$$
we obtain the formula :
$$
(4\pi)\frac{\Delta N^{(2)}}{\Delta\Omega}=\frac{4C_f\as}{2\pi}
\int^{E}\frac{dk}{k}\>
\tilde{D}\left(\frac{E}{k},\frac{\Theta_0}{\Theta}\right)
\cdot N^2(k\Theta)\equat{III-5}
$$
where $\Delta\Omega$ stands for the (small) solid angle size of the
phase space cell in consideration (see Fig. 2b).

The evolution equation for the distribution $\tilde{D}$,
$$
\tilde{D}\left(\frac{E}{k},\frac{\Theta_0}{\Theta}\right)=
\delta(\ln E/k)+
\int^{\Theta_0}_{\Theta}\frac{d\Theta'}{\Theta'}
\int_k^E\frac{d\ell}{\ell}\>4C_A\frac{\as}{2\pi}
\tilde{D}\left(\frac{E}{\ell},\frac{\Theta_0}{\Theta'}\right)\>,\equat
{III-6}
 $$
 can be solved by means of a Mellin transform in the $k/E$ variable
which gives :

 $$
 \tilde{D}_n({\Theta_0\over\Theta})=\exp{-{\gamma_0^2\over n}
\ln\left({\Theta\over\Theta_0}\right)}\equat{III-7}
 $$
 where
$$
\tilde{D}_n({\Theta_0\over\Theta})=\int_0^1\>x^{(n-1)}\>\tilde{D}\left
(
{1\over x},\frac{\Theta_0}{\Theta}\right)dx,\ x\equiv k/E
$$
 Using now the stationnary phase argument in the inverse Mellin
transform one obtains:
 $$
 \tilde{D}\left(\frac{E}{k},\frac{\Theta_0}{\Theta}\right)\simeq\exp{2
\gamma_0\sqrt{\ln\frac{E}{k}\ln\frac{\Theta_0}{\Theta}}}\equat{III-8}
 $$
 $\tilde{D}$ monotonically increases while $k$ decreases  down to the
value $\mu/\Theta$ where
$\mu$ denotes again the infra-red cutoff.
Starting from \Form{III-5}, we need to convolute the $\tilde{D}$
distribution with the  square
of the multiplicity factor .

More generally,  when not only two but $q>2$ particles are registered
in the final
state within the small cell $\Theta$, one has to consider
  the $q^{th}$ inclusive multiplicity correlator . Using
similar arguments, related to the DLLA properties of
Perturbative QCD for a jet\ref{18}, one is led to weight $\tilde{D}$
with the $q^{th}$ power of the mean multiplicity. This gives :
$$
(4\pi){\Delta N^{(q)}\over \Delta \Omega
}=\frac{4C_f\as}{2\pi}\int^E{dk\over k}\int {dn\over
2i\pi}\exp{S(n,k,\Theta)}\equat{III-9}
$$
with

$$
S(n,k,\Theta)=n\ln({E\over k})+{\g0^2\over n}
\ln({\Theta_0\over\Theta})+q\g0\ln({k\Theta\over\mu})\equat{III-10}
$$
where the introduction of the infra-red cut-off $\mu$ comes with the
multiplicity, see \Form{II-4}.
We can now make use of the steepest descent technics in $k$ together
with the
stationnary phase space approximation in $n$ and get    the result:
$$
\eqalign{(4\pi){\Delta N^{(q)}\over \Delta \Omega }&\propto
\left({E\Theta\over\mu}\right)^{q\g0}\left({\Theta_0\over
\Theta}\right)^{\g0\over q}\>,\>{\rm with}\cr
\ln{E\over k}&={1\over q^2}\ln{\Theta_0\over\Theta}\cr}\equat{III-11}
$$
Note that, in this case of a fixed coupling constant, there may be a
sizeable difference between the hierarchy in angles and the one
in energy,
at least for small-rank correlations.
The result \Form{III-10} is valid if one remains in the
perturbative regime i.e. $\ln\left({k\Theta\over\mu}\right)>0$.
Defining the rescaled variable $x_\mu$ as:
$$
x_\mu={\ln\left({\Theta_0\over\Theta}\right)\over\ln\left({E\Theta_0\over
\mu}\right)}\equat{III-12}
$$
where $\mu/E $ is the minimal angle $\Theta$ one may safely consider,
the previous
 condition reads:

$$
x_\mu<{q^2\over q^2+1},\>(={4\over5}\>{\rm when}\ q=2\>{\rm and}\
\simeq
1\>{\rm for}\>q\ {\rm large}).
$$
$x_\mu >{4\over 5}$ is thus the correct limit of the
perturbative regime.


The scaled moments can now be calculated, and using
$\Delta\Omega\simeq \pi\Theta^2$, one retrieves formula \Form{II-14}
under the
guise:
$$
\eqalign{{\cal F}_q(\Delta\Omega)&\propto
\left[{\Theta_0^2\over\Theta^2}\right]^{(q-1)(1-{\cal D}_q)},\>{\rm
with}
\cr
{\cal D}_q&={\gamma_0\over 2}{q+1\over q}\cr}\equat{III-13}
$$
and, by integration on the azimuth, formula II-12.

Let us come back now to the perturbative QCD calculation with the
appropriate running coupling constant $\as(P_{\perp}=k\Theta)$.
To estimate the typical momenta $k$ in the main convolution formula
\Form{III-1}
we use again the Mellin transform, as in formulae \Form{III-9,-10},
but in the context of a running $\as$, one gets :
$$
\frac{\Delta N^{(q)}}{\Delta \Omega} \propto \int\frac{dk}{k}
\int\frac{d\omega}{2\pi i} \>
\exp{{\cal{S}}(\omega, k,\Theta)}\equat{III-14}
$$
with
$$
{\cal{S}}(\omega,k,\Theta)= \omega\ln\frac{E}{k}+
\int_{k\Theta}^{E\Theta_0} \frac{dt}t\>\gamma_\omega(\as(t)) +
 q\cdot\int_{\mu}^{k\Theta}\frac{dt}t\>\g0(\as(t))\equat{III-15}
$$
and
$$
\gamma_\omega(\as)=\half
\left[\>-\omega+\sqrt{\omega^2+4\g0^2}\>\right]\>\equat{III-16}
$$
where $\gamma_\omega$ is  the standard DLA anomalous dimension.
Then we evaluate [III-14] by steepest descent in $k$ and stationary
phase
in $\omega$ to get
$$
\eqalign{-&\partder{\ln k} {\cal{S}}=\omega + \gamma_\omega(\as(k\Theta))
-
q\g0(\as(k\Theta)) = 0 \cr
&\partder{\omega} {\cal{S}} =\ln\frac{E}k
+ \int_{k\Theta}^{E\Theta_0}\frac{dt}{t}\partder{\omega}
\>\gamma_\omega(\as(t)) = 0\cr}\equat{III-17}
$$
Making use of \Form{III-15} we find the following solution for the
preferred value $\moy{\omega}$ :
$$
\moy{\omega} = \frac{q^2-1}{q}\>\g0(\as(k\Theta))\equat{III-18}
$$
and substitute it into the second relation \Form{III-16} to obtain
the
equation which determines implicitly $\moy{k}$:
$$
{\ln\frac{E}{k}} = \ln\frac{\Theta_0}{\Theta}
 -\int_{k\Theta}^{E\Theta_0}\frac{dt}{t}\frac1{\sqrt{1+\left[\frac{2q}
{q^2-1}
\right]^2\frac{\as(t)}{\as(k\Theta)}}}\equat{III-19}
$$

While     in the fixed coupling regime we recover all the previous
results, for
example :
$$
{\ln\frac Ek} = \frac{1}{q^2} \ln\frac{\Theta_0}{\Theta}
\left( =\frac{1}{4}
 \ln\frac{\Theta_0}{\Theta} \>\>{{\rm for}\>
q=2}\>\right)\>.\equat{III-20}
$$
we get now:
 $$
\eqalign{&
x=\half\left[1-y\left(1-\int_{y}^1\frac{du}{u^2}\frac{1}{\sqrt{1+a_q
u}}\right)\right],\>a_q=\left(\frac{2q}{q^2-1}\right)^2\cr
&x={\ln \Theta_0 / \Theta \over \ln E \Theta_0 /
\Lambda} \>;\>\>\>y=\frac{\ln k \Theta /\Lambda }{\ln
E\Theta_0/\Lambda},\cr}\equat{III-21}
$$
where $\Lambda $ is the QCD scale at first perturbation order.

It is important to notice
that the QCD scale $\Lambda$ has replaced the infrared cut-off $\mu$
which appeared in the variable $x_\mu$, see
\Form{III-12}. In fact, $\mu$ appears only as the
lower bound of the multiplicity contribution to ${\cal
S}(\omega,k,\Theta)$, see formula \Form{III-15}, and
disappears from the {\it scaled} factorial moments.
The final formula will be independent of the infra-red cut-off.
\midinsert
\figur{fig3.ps}
%\fig{14}{fig3.ps}
\caption{{\it Figure 3} : Comparison of angular/momentum hierarchies
in a QCD jet fragmentation;
a)  The scaled-angular $x$ variable as a function
of the transverse momentum one $y$.
continuous line : The exact formula [ III - 21 ] ;
dotted-dashed line : $x=1-y$ corresponding to  $k=E$. b) The
QCD second intermittency dimension as a function of $\tilde{x}$ ;
continuous
line : the exact [ III - 23 ] formula; dashed curve : the
approximate
formula [ III - 22 ].}
\medskip
\endinsert
The function $ x(y)$ determines how the angular hierarchy in
$\ln\Theta_0/\Theta $ - measured by its ratio with the maximal
value     $\ln E \Theta_0/\Lambda$ - depends on the transverse
momentum hierarchy  expressed    by $1-y={\ln P_
{\perp_0}/P_\perp\over \ln P_{\perp_0}/\Lambda}$.
The function $x(y)$ is displayed in figure 3 for $q=2$, together with
the function $1-y$, which would correspond to taking
$\as(k\Theta)=\as(E\Theta)$.
    The lesson from Figure 3a is  that it is quite
consistent to chose $k\simeq E$ in the angular evolution of the
running coupling constant $\as(k\Theta)$.
The function $x$ can be choosen equal to $1-y$ with a quite good
approximation. This leads to the following simple expression fo
${\cal D}_q$ (cf. also formula \Form{II-15})
$$
\eqalign{{\cal D}_q&={q+1\over
dq}\frac{\int_\Theta^{\Theta_0}\g0(\as(E\theta))d\theta/\theta}
{\ln\Theta_0/\Theta}\ =\cr
&={q+1\over dq}\g0(\as(E\Theta_0)){2\over
x}(1-\sqrt{1-x}),\cr}\equat{III-22}
$$
where $x$ is the same as in \Form{III-21}, and d the dimension.
 Note again that
the result \Form{III-22} is independent of the infra-red cut-off.

To be complete, one can work out the exact calculation of the
 anomalous dimension as
a function of $1-y=\tilde{x}$:
$$
\eqalign{
{\cal D}_q(\tilde{x})
&=2\g0{{q+1}\over dq}\cr
&\frac{(1-\sqrt{1-\tilde{x}})q\sqrt{a_q}-a_q\sqrt{1-\tilde{x}}\,\ln\left[
q^2\frac{1-\sqrt{1+a_q(1-\tilde{x})}}{1+\sqrt{1+a_q(1-\tilde{x})}}\right]
}{1-(1-\tilde{x})q\sqrt{a_q}+\sqrt{1+a_q(1-\tilde{x})}+a_q(1-\tilde
{x})\ln\left[q^2\frac{1-\sqrt{1+a_q(1-\tilde{x})}}{1+\sqrt{1+a_q(1-\tilde
{x})}}\right]}\cr
&\simeq 2\g0{q+1\over
dq}\left({1-\sqrt{1-\tilde{x}}\over
\tilde{x}}\right)\cr
}\equat{III-23}
$$
The exact anomalous dimension ${\cal D}_2$ is displayed in Figure 3b
for $d=2$, together with the approximate one, as a function of
$\tilde{x}$. The figure shows that the  formula \Form{III-21}
(also
\Form{II-15}) is
very close to the exact one. This ensures  the equivalence between
the fluctuation and correlation approaches
to the intermittency calculations.
In other terms, for factorial moments,
the hierarchy in cascading angles is more stringent than
the softening in energy. Indeed, both curves differ only slightly in
the region
$\tilde{x}\simeq 1$ which can be considered outside the validity
region for a perturbative calculation, cf. the discussion in the
next section IV.
\bigskip
{\bf IV Intermittency properties of a QCD jet}
\bigskip
Let us now examine in a more precise way the intermittency
properties of the jet, as given by the final formula
 \Form{III-22}.
We have already noticed that in the case of a fixed running constant,
one verifies an exact scaling law \Form{I-2}, where the phase-space
cell $\Delta$,  in one dimension, is angular. We shall now
discuss the physical meaning of the result obtained for the running
coupling constant in case of 1 and 2 dimensions. Let us pinpoint a
few
properties.
\bigskip
{\it Angular intermittency of QCD jets}

The main feature of formula \Form{III-22} is that it is expressed
in terms of angular variables, namely the diffusion
angle $\Theta$ ( in 1 dimension) and the solid angle $\Omega$ (in 2
dimensions). In terms of $\Theta$ in particular, or, more precisely,
in terms of the variable $x=\frac{\ln\Theta_0/\Theta}{\ln
E\Theta_0/\Lambda}$, a quite "universal" behaviour is observed, with
increasing factorial moments at small $x$, and then saturation and
fall near $x=1$ (see Fig. 4a for 1 dimension, Fig. 4b for 2
dimensions).
This behaviour can be easily understood from \Form{III-22}. At small
values of $x$ - or not too small cell-sizes $\Theta$ -
the intermittent power-law
\Form{II-12,14} is approximatively valid provided one considers the
coupling
constant $\g0$ at $k=E$, i.e. its minimal value within the jet.
Then,
for smaller cell-size, an
interesting  {\it saturation effect} occurs, which is obtained in the
framework of perturbative QCD, independently of any
hadronisation model. This {\it saturation effect }  is entirely due to
the running of the coupling constant through   the increase of
the Renyi dimension with $x$, see \Form{III-22}. Indeed, this
increase becomes so strong that there is an oversaturation effect in
the theory, at a value of $\g0$ of the order of 1, which sets the
limit of validity of the perturbative expansion of the theory. The physical
interpretation is simple, the many gluons produced saturate the fluctuations;
indeed, there are so many, that one can no more neglect there reinteractions :
We are entering the non perturbative regime.

 In Fig. 4b, the result for the two-dimensional
case is shown and we remark that the saturation effects are milder;
This is a reflexion of the dividing factor $d$ in the
Renyi dimension which increases the intermittency strength
and thus decreases the relative
importance of the saturation effect.
\midinsert
\figur{fig4.ps}
%\fig{14}{fig4.ps}
\caption{{\it Figure 4} : QCD predictions for the first moments
${\cal F}_q$
as a function of $x$; a)
$d=1$, b) $d=2$. The predictions are computed for the following
parameter value :
$\epsilon\simeq 5$, which for a jet energy $E\simeq 50 Gev$ and
$\Lambda=200$ Mev, say, corresponds to an angular aperture of
 $\Theta_0\simeq .6$.}
\bigskip
\endinsert
What is the implication of angular intermittency for the
usual analysis framework
\ref{1,8-12} ? The natural scaling variables emerging from
\Form{III-21}) are $x$ and $\epsilon$, which are related to angles
by:
$$
\ln
\Theta_0/\Theta=x.\epsilon  = x.\>\ln(E\Theta_0/\Lambda),\equat{IV-1}
$$
where the scaling parameter $\epsilon=\ln(E\Theta_0/\Lambda)$
contains all the information on the ki\-ne\-ma\-tical parameters of
the considered jet evolution (Note that, from Eq. \Form{III-22},
${\cal D}_q$ depends on $x$ {\it and} on $\g0(\as(E\Theta_0))$,
which  itself depends   of $\epsilon$). One important
consequence is that the value of $\epsilon$ fixes both the energy
$(E)$
and the angular $(\Theta_0)$ dependence of the fluctuation patterns.
 An example of this dependence on $\epsilon$ is given in Fig. 5,
 for
${\cal F}_2$ in two dimensions for 2 typical values of $\epsilon$.
\midinsert
\figur{fig5.ps}
%\fig{10}{fig5.ps}
\caption{{\it Figure 5} : 2-dimensional ${\cal F}_2$ as a function
of
$\ln\Theta_0/\Theta$ for two
different values of $\epsilon$ (see text).}
\bigskip
\endinsert
Note that the saturation effect is enhanced at smaller
$\epsilon$ which means smaller energy and/or smaller angle. We will
come back to this interesting property.
\bigskip
{\it Comparison with previous approaches}

It is instructive to confront the obtained results -
\Form{III-22,23} - and the two different methods we used,
fluctuations and correlations, with previous works on the
subject\ref{12-17}.
The formulae \Form{III-22,23} and the
method leading to them are worth comparing with the results of
ref.[15-17]. In ref.[15], the dipole approximation of perturbative
QCD cascading led to a determination of the fractal
dimension of the so-called "$\lambda$ curve" at large values of $q$.
This
dimension coincide with the large-$q$ limit of the approximate Renyi
dimension \Form{III-22}. On the other hand, the small-$q$ evolution
of the Renyi dimension which characterises the "multi-fractal"
feature
of QCD gluon cascading is numerically evaluated.
Note however, a clear difference in the interpretation of the result:
The conclusion of \ref{15} is to propose observables different from
 factorial
moments to exhibit the scale invariant properties of gluon cascading,
attributing to hadronisation a dynamical role in the fluctuation
pattern.
At the level of hadrons, the question is      whether  gluon-hadron
duality is valid or whether hadronisation changes the features of
factorial moment observables as suggested in [15]. This deserves
more
investigation.

We have borrowed from \ref{16} the method using the non-linear
equation
for multiplicity moments and its transformation in a fragmentation
formulation.
 However, Ref.\ref{16}         was only considering planar diagrams
with infra-red singular contributions, which are cancelled in the
full DLLA (planar + non-planar) diagrams.
A comparison with ref.[17] shows that
 the
occurence of a different dominant singularity at small angles, found
in
\ref{17}, is not found in our analysis. Our results are in agreement
with
those found in ref.[18].



\bigskip
{\it Phenomenological discussion}


Some features present in the Monte-Carlo
estimates\ref{11} of the factorial moments based on a Perturbative
QCD ansatz are explicit in our analytical solutions, for example  the
saturation
at small cell-size and collimation in azimuth. However, a detailed
phenomenological discussion requires an hypothesis on the
transformation of partons
into hadrons. In fact, we will
consider that
the effect of hadronisation -which is model-dependent in the
Monte-Carlo's-
 is  smooth enough to allow for a
direct comparison of hadron experimental data with the predictions
of  formulae \Form{III-22,23}. This  smoothness was already
noticed for other observables such as the one-particle inclusive
cross-section, the well-known humped-backed plateau in \epm
annihilation into hadrons, providing an argument in favor
of the LPHD assumption\ref{14}. It is interesting to
discuss whether or not this
property may also apply to multiparticle correlations/fluctuations
effects, using factorial moment observables. Note, however, that we
did not
enter in the computation of next-to-leading orders, which are known
\ref{19,20}
to be important in 2-particle or higher order correlations. Indeed,
DLLA
partonic evaluation seems to overestimates the correlations in a
systematic
way. We thus have to find predictions which would minimize the
higher-order
 and hadronisation corrections.


The experimental data on factorial moments and intermittency in \epm
anni\-hilation into hadrons and espe\-cially on hadronic decays of
${\cal Z}_0$'s are al\-ready remar\-kable\ref{10,11}. A few
features which we discussed previously, like the saturation effects,
the increase of intermittency with dimensionality, the
dependence of the diffusion direction angle can be seen in the data.
However, the tests of angular intermittency need a reappraisal
of the most convenient observables. Indeed, no data exist
directly in terms of the $\Theta$ variables, and it
would
be unfair to make uncontrolled combinations of
 the existing data \ref{11} depending on rapidity. We thus propose
new observables in order to check the QCD predictions.

The best indication for confronting angular intermittency with data
- if experimentally feasible - would be to give
one- and two-dimensional factorial moments directly for small
cells in angular variables. Indeed, let us
consider a given direction $\Theta_0$, and two angular cells
of aperture $\Theta_1$ and $\Theta_2$ around that direction. Using
twice
\Form{II-15}, one gets:
$$
{\cal F}_q(\Theta_1)={\cal F}_q(\Theta_2)\ \exp{(q-1)\left
(\log\Theta_2/
\Theta_1
-\frac{q+1}{q}\int_{\Theta_1}^{\Theta_2}\g0(\as(E\theta))d\theta/
\theta\right )}\equat{IV-2}
$$
\Form{IV-2} is formally independent of the chosen
direction $\Theta _0$, except that one has to take into account
 the application range of perturbative
calculations, namely:
$$
0<\log \frac{\mu}{\Lambda}<\log \frac{E\Theta_1}{\Lambda}<
\log \frac{E\Theta_2}{\Lambda}<\log
\frac{E\Theta_0}{\Lambda}=\epsilon
\equat{IV-3}
$$
For example, in Fig. 6, we
display the predictions for ${\cal Z}_0$ jet decays
 corresponding to 1-dimensional ($\varphi$-averaged) and
2-dimensional moments of rank 3 as a function of $\log{\Theta_2/\Theta_1}$
for two typical   values of $\epsilon_2=\log{E\Theta_2/\Lambda}$.
Following \Form{IV-3}, the range of the variable $\log{\Theta_2/\Theta_1}$
between
$0$ and $\log E\Theta_0/\mu \simeq 3$.
\midinsert
\figur{fig6.ps}
%\fig{14}{fig6.ps}
\caption{{\it Figure 6} : ${\cal F}_3$ {\it ratios}  as a function of
${\Theta_2/\Theta_1}$ (in log/log units);
a) $\epsilon_2=6$; b) $\epsilon_2=4$.}
\bigskip
\endinsert
Note that the saturation effect, clearly present in the one
dimensional case, almost desappears for 2-d solid angles cells.
Data on factorial moments are in general
 (except those from ALEPH collaboration)
"horizontally" averaged over different rapidities - i.e.
different $\Theta_0$ angles -. We suggest to perform {\it ratios} of
moments for different apertures before an eventual horizontal
averaging in order to test
the prediction \Form{IV-2}. It is interesting to notice that, if this
ratio
can be measured event by event, the result is predicted to be
independent
from the angular direction $\Theta _0$, and thus from the definition
of the
jet axis! However, one has to require to avoid small angles
$\Theta_0$,
(a  non-perturbative region for QCD) and thus the determination of
jets
cannot be totally ignored. In any case, the check of \Form{IV-2}
represents
a challenge for QCD phenomenology, taking into account that
higher-order
and hadronisation corrections are probably diminished in the ratio of
moments .

\bigskip
{\bf V Conclusions and outlooks}
\bigskip
The conclusions of our study can be cast in the form of a summary of
answers
to the questions $i-v)$ raised in the introduction;


$i)$ Perturbative QCD is {\it intrinsically intermittent}, at least
in the
Double Leading Logarithm Approximation (DLLA),
 since the factorial moments develop an (effective)
singular behaviour in small phase-space cells away from the jet axis,
see \Form
{II-15, III-22}. However, instead of a singularity in rapidity cell-size, as
in previous studies,
one obtains   a singularity in angular cell-size.

$ii)$ Intermittent patterns of fluctuations appear in  angular
variables,
namely diffusion and azimuthal angles around the jet axis, and solid
angle
for 2-dimensional fluctuations. The resulting {\it angular
intermittency}
manifests itself as the enhancement of  gluon  multiplicity
fluctuations in smaller and
smaller angular cells in a given direction away from the initial jet
axis.
Non-perturbative or higher-order corrections invalidate the
calculation for
too small cells or angles with respect to the jet axis.

$iii)$ The intermittency indices, characterizing the singular
behaviour of
fluctuations, are related to the QCD anomalous dimension of
multiplicities
$\g0$, and through it, depend only on the scaling parameter $\epsilon
=\log
{E\Theta/\Lambda}$, where $\Theta$ is the angular cell-size.

$iv)$ {\it Angular intermittency} predicts that the ratio of
factorial
moments for two cells of different size around the same direction
depends
only and specifically on these two sizes. We suggest to use angular
variables in the phenomenological analysis of $Z_0$ decays into
hadrons
to check this prediction, assuming parton-hadron
duality.

$v)$ The reason why the intermittency singularity appears is
primarily due
to the resummation of the infra-red potential divergencies of the
theory
through their leading-log contributions at all orders; The size of
the
angular     cell, over which one integrates to get factorial moments,
acts as
a regulator scale over these potential infra-red divergencies.



Questions to be solved in the near future are not lacking, starting
with
the abovementionned suggestions and requirements for experimental
studies.
  Among other problems, it
seems that the 3-d fluctuations, when one adds transverse momentum in
the
game, are at hand. The study of the transition to the
non-perturbative
region and its fluctuation properties could be facilitated by its
kinematical
location in the fragmentation rapidity domain. A related question is
to
ask whether other multi-particle reactions present
similar features as \epm . This would give an hint on possible mixing
of perturbative and other dynamical fluctuation mechanisms; One would
of course think to deep-inelastic reactions at HERA, but also to
hadron
or nuclei-induced reactions.

As a final and more speculative remark, it is tempting to consider
the QCD calculations as a new laboratory for the unsolved problem
of turbulence. It is quite clear that turbulence is by far a more
complex
problem, but the existence of a gauge field
theory like QCD supporting the
existence of self-similar fluctuation patterns and experiments of
high quality to discuss it could give some help.
After all, long ago, the possibility of a {\it fractal} behaviour
of jets into jets into jets... has been beautifully predicted
\ref{25}.
It is quite remarkable that the property of {\it angular
intermittency}
in QCD jets seems to realize this prediction in a quite non-trivial
way since there appears a $q$-dependent and angular-dependent set of
fractal dimensions (multi-fractality property).
\bigskip
{\noindent\bf Acknowledgments}
\bigskip
We warmly thank Yuri Dokshitzer for stimulating discussions which convinced
us to use for the present work one basic (correlation) method developed by him
and coworkers ; We acknowledge
him for helpful remarks and communicating related unpublished notes (with
Serguei Troyan).
We had also fruitful discussions with Bo Andersson, Andrzej Bialas, Wolfgang
Ochs and Jacek
Wosiek at the occasion of recent meetings and conferences (Orsay/Saclay,
Santiago, Lisbon,...). We thank Henri Navelet for final remarks on the draft.
\vfill\eject\


{\noindent\bf References}
\bigskip
{\leftskip=.7truecm

\noindent
\rm
\item{\bf 1} For a review and early references, see A. de Angelis, P.
Lipa
and W. Ochs, Proceedings of the Joint {\bf LP-HEP} Conference 91,
Vol. 1,
page 724 (Eds. S. Hegarty, K. Potter, E. Quercigh, World Scientific).

\noindent\item{\bf 2} A. Bia{\l}as and R. Peschanski, {\it Nucl.
Phys. B} {\bf 273} (1986) 703, {\bf 308} (1988) 857.

\noindent\item{\bf 3} For general review on the subject:
A. Bia{\l}as {\it Nucl. Phys. A}{\bf 525} 345c (1991); R.
Peschanski, {\it Int. J. Mod. Phys.}{\bf A6} (1991) 3681.

\noindent\item{\bf 4} P. Carruthers and I. Sarcevic, {\it Phys. Rev.
Lett.}
{\bf 63} (1989) 1562, and refs. in \ref{3}.


\noindent\item{\bf 5} P. Lipa and B. Buschbeck, {\it Phys. Lett.}{\bf
B223} (1989) 465 and references therein.

\noindent\item{\bf 6} P. Carruthers, {\it J. Stat. Phys.}{\bf
51} (1988) 517.

\noindent\item{\bf 7} A. Bia{\l}as and J. Seixas, {\it
Phys. Lett.}{\bf B250} (1990) 151.

\noindent\item{\bf 8} For a recent experimental review, see F.
Verbeure,
Proceedings of the XXII International Symposium on Multiparticle
Dynamics, Santiago de Compostela, 13-17 July 1992 (to be published
soon,
World Scientific). \par


\noindent\item{\bf 9} See, for instance, refs [1,3] and various
contributions
to the  proceedings
of ref. [8].


\noindent\item{\bf 10} B. Buschbeck, P. Lipa and R. Peschanski, {\it
Phys.
Lett.}{\bf B215} (1988) 788; HRS coll., TASSO coll., CELLO coll.
references
in [1].

\noindent\item{\bf 11} Last LEP results:
DELPHI Coll., P. Abreu et al. {\it Nucl. Phys.}{\bf B386} (1992) 471;
ALEPH Coll., D. Decamp et al. {\it Z. Phys.}{\bf C53} (1992) 21;
See previous references (including OPAL and L3 published
results, 1991) therein.

\noindent\item{\bf 12} M. Jedrejczak, {\sl Phys. Lett. B\/} {\bf 228
}(1988) 259. \par

\noindent\item{\bf 13} C.B. Chiu and R.C. Hwa, {\sl Phys. Lett. B\/}
{\bf 236
}(1990) 446. \par

\noindent\item{\bf 14} Y.I. Azimov, Y.L. Dokshitzer, V.A. Khoze, and
S.I.
Troyan, {\it Z. Phys.}{\bf C 31} (1986) 213. \par

\noindent\item{\bf 15} G. Gustafsson and A. Nilsson, {\it Z. Phys.}
{\bf C 52}
(1991) 533;

\noindent\item{\bf 16} Ph. Brax and R. Peschanski, Saclay Preprint
SphT/92-005(1992) .

\noindent\item{\bf 17}  W.
Ochs and J. Wosiek, {\sl Phys. Lett. B\/}{\bf 289} (1992) 159.

\noindent\item{\bf 18}
Y.L. Dokshitzer and S.I. Troyan, unpublished (1991).

\noindent\item{\bf 19} Y.L. Dokshitzer, G. Marchesini and G. Oriani,
{\it Nuclear
Physics }{\bf B 387} (1992) 675.

\noindent\item{\bf 20} For a review, see for example {\it Basics of
Perturbative QCD }  Y.L. Dokshitzer, V.A. Khoze, A.H. Mueller and S.I.
Troyan
(J. Tran Than Van ed., Editions Frontieres) 1991,
and the list of references therein.

\noindent\item{\bf 21} Note that the equation \Form{II - 2} is
valid beyond DLLA,                                          see ref.
[18], provided one chooses a running QCD scale $\as(P_\perp)$, where
$P_\perp\simeq k\Theta_0$, $k$ being the current parton energy with
an
infrared cut-off $\mu$; The condition : ${\cal
Z}(P_\perp\equiv\mu,v)=v$ has to be fulfiled.


\noindent\item{\bf 22}
J.-L. Meunier and R. Peschanski, {\it Nuclear
Physics }{\bf B 374} (1992) 327,

\noindent\item{\bf 23} Y. Gabellini, J.-L. Meunier and R.
Peschanski, {\it Z. F. Phys.} {\bf C 55} (1992) 455.


\noindent\item{\bf 24} W. Ochs, {\it Z. Phys.}{\bf C 50} (1991) 379;
{\it Act.
Phys. Pol.}{\bf B 25} (1991) 203.
A. Bialas and M. Gazdzicki, {\it Phys. Lett.}{\bf B 252} (1990) 483.

\noindent\item{\bf 25} G. Veneziano, Proc. 3rd. Workshop on Current
Problems in HEP theory, Florence 1979, eds. Casalbuoni et al;
John Hopkins University Press, Baltimore.
\par}

\vfill\eject
{\bf Figure captions}
\bigskip
{\it Figure 1} : Sketch of the random fragmentation cascade. In grey,
 the "history" of the bin $\Delta$, i.e. the successive random multiplicative
factors ${\rm w}$ which define the multiplicity density in $\Delta$ for
one event. $Y$ (resp. $\Delta$) is the initial (resp. final) observation range.
As
a simple illustration from the figure, the bin density is $\rho_{\Delta}=
\rho_{Y}
 {\rm w}_{1}{\rm w}_{2}{\rm w}_{3}   {\rm w}_{4} $ where $\rho_{Y}$ is the
initial density,
and the w's are the random
or unity weights (see text)
corresponding to the semi-random structure.
\bigskip
{\it Figure 2} : Kinematics of parton-parton QCD correlations;
a) Location   of the phase-space cell $\Delta$ in polar coordinates;
b)
Schematic
representation of the convolution formulae [ III - 1,5 ].
\bigskip

{\it Figure 3} : Comparison of angular/momentum hierarchies in a QCD
jet fragmentation;
a)  The scaled-angular $x$ variable as a function
of the transverse momentum one $y$.
Continuous line : The exact formula [ III - 21 ] ;
dotted-dashed line : $x=1-y$ corresponding to  $k=E$. b) The
QCD second intermittency dimension as a function of $\tilde{x}$ ;
continuous
line : the exact [ III - 23 ] formula; dashed curve : the approximate
formula [ III - 22 ].
\bigskip

{\it Figure 4} : QCD predictions for the first moments ${\cal F}_q$
as a function of $x$; a)
$d=1$, b) $d=2$. The predictions are computed for the following
parameter value :
$\epsilon\simeq 5$, which for a jet energy $E\simeq 50 Gev$ and
$\Lambda=200$ Mev, say, corresponds to an angular aperture of
 $\Theta_0\simeq .6$.
\bigskip

{\it Figure 5} : 2-dimensional ${\cal F}_2$ as a function of
$\ln\Theta_0/\Theta$ for two
different values of $\epsilon$ (see text).
\bigskip

{\it Figure 6} : ${\cal F}_3$ {\it ratios} as a function of $\Theta_2
/\Theta_1$ (in log/log units);
a) $\epsilon_2 = 6$; b) $\epsilon_2 = 4$.
\bigskip
\end

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currentpacking true setpacking
userdict /Adobe_cmykcolor 4 dict dup begin put
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1 sub 4 1 roll
3
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Adobe_cmykcolor_vars /_setrgbcolor get exec
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Adobe_cmykcolor_vars /_currentrgbcolor get exec
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currentpacking true setpacking
userdict /Adobe_cshow 3 dict dup begin put
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currentpacking true setpacking
userdict /Adobe_customcolor 5 dict dup begin put
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{
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/setcustomcolor		% object tint setcustomcolor -
{
exch
aload pop pop
4
	{
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5 -1 roll pop
setcmykcolor
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{
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currentdict readonly pop end
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currentpacking true setpacking
userdict /Adobe_typography_AI3 47 dict dup begin put
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% [ number value stream [ array for encoding modification ] modifyEncoding ==>
%%[ modified array ]
/modifyEncoding
{
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	% pointer for sequential encodings
	/_pntr 0 ddef

	{
		% get bottom object
		counttomark -1 roll

		% is it a mark ?
		dup type dup /marktype eq
		{
			% exit
			pop pop exit
		}
		{
			% ... object ... type ....

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			ifelse
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	% return the modified encoding
	_tempEncode
}
def

/TE	% Set std platform encoding 	% (encoding pairs) TE -
{
	StandardEncoding 256 array copy modifyEncoding
	/_nativeEncoding exch def
} def

% re-define font
% expected arguments
% for 'normal fonts :
%	[ /_Helvetica-Bold/Helvetica-Bold direction fontScript defaultEncoding TZ
%
% for cartographic, pictographic, and expert fonts :
% 	[ ... number value stream ... /_Helvetica-Bold/Helvetica-Bold
%	direction fontScript defaultEncoding TZ
/TZ
{
	% platform dependent coding flag
	/_useNativeEncoding exch def

	% pop fontScript & direction
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	% create a new dictionary with length
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		% copy all the values but the FID
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		mark exch
		{
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		forall
		% discard last mark
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		% define FontName
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		% then if the use platform encoding flag is true
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			% start off with a copy of the font's standard encoding
			/Encoding load 256 array copy
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		FontName currentdict
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	% register the new font
	definefont pop
}
def

% text painting operators
/tr					% string tr ax ay string
{
_ax _ay 3 2 roll
} def
/trj				% string trj cx cy fillchar ax ay string
{
_cx _cy _sp _ax _ay 6 5 roll
} def

/a0
{
/Tx	% text							% textString Tx -
	{
	dup
	currentpoint 3 2 roll
	tr _psf
	newpath moveto
	tr _ctm _pss
	} ddef
/Tj	% justified text				% textString Tj -
	{
	dup
	currentpoint 3 2 roll
	trj _pjsf
	newpath moveto
	trj _ctm _pjss
	} ddef

} def
/a1
{
/Tx	% text							% textString Tx -
	{
	dup currentpoint 4 2 roll gsave
	dup currentpoint 3 2 roll
	tr _psf
	newpath moveto
	tr _ctm _pss
	grestore 3 1 roll moveto tr sp
	} ddef
/Tj	% justified text				% textString Tj -
	{
	dup currentpoint 4 2 roll gsave
	dup currentpoint 3 2 roll
	trj _pjsf
	newpath moveto
	trj _ctm _pjss
	grestore 3 1 roll moveto tr sp
	} ddef

} def

/e0
{
/Tx	% text							% textString Tx -
	{
	tr _psf
	} ddef
/Tj	% justified text				% textString Tj -
	{
	trj _pjsf
	} ddef
} def

/e1
{
/Tx	% text							% textString Tx -
	{
	dup currentpoint 4 2 roll gsave
	tr _psf
	grestore 3 1 roll moveto tr sp
	} ddef
/Tj	% justified text				% textString Tj -
	{
	dup currentpoint 4 2 roll gsave
	trj _pjsf
	grestore 3 1 roll moveto tr sp
	} ddef
} def

/i0
{
/Tx	% text							% textString Tx -
	{
	tr sp
	} ddef
/Tj	% justified text				% textString Tj -
	{
	trj jsp
	} ddef
} def

/i1
{
W N
} def

/o0
{
/Tx	% text							% textString Tx -
	{
	tr sw rmoveto
	} ddef
/Tj	% justified text				% textString Tj -
	{
	trj swj rmoveto
	} ddef
} def

/r0
{
/Tx	% text							% textString Tx -
	{
	tr _ctm _pss
	} ddef
/Tj	% justified text				% textString Tj -
	{
	trj _ctm _pjss
	} ddef
} def

/r1
{
/Tx	% text							% textString Tx -
	{
	dup currentpoint 4 2 roll currentpoint gsave newpath moveto
	tr _ctm _pss
	grestore 3 1 roll moveto tr sp
	} ddef
/Tj	% justified text				% textString Tj -
	{
	dup currentpoint 4 2 roll currentpoint gsave newpath moveto
	trj _ctm _pjss
	grestore 3 1 roll moveto tr sp
	} ddef
} def

% font operators

% Binding
/To	% begin text 					% bindType To -
{
	pop _ctm currentmatrix pop
} def

/TO	% end text					% TO -
{
	Te _ctm setmatrix newpath
} def

% Text paths
/Tp	% begin text path				% a b c d tx ty startPt Tp -
{
	pop _tm astore pop _ctm setmatrix
	_tDict begin /W {} def /h {} def
} def

/TP	% end text path					% TP -
{
	end
	iTm 0 0 moveto
} def

% Render mode & matrix operators
/Tr	% begin render					% render Tr -
{
	_render 3 le {currentpoint newpath moveto} if
	dup 8 eq {pop 0} {dup 9 eq {pop 1} if} ifelse
	dup /_render exch ddef
	_renderStart exch get load exec
} def

/iTm % internal set text matrix		% - iTm -	(uses _tm as implicit argument)
{
_ctm setmatrix _tm concat 0 _rise translate _hs 1 scale
} def

/Tm % set text matrix				% a b c d tx ty Tm -
{
_tm astore pop iTm 0 0 moveto
} def

/Td % translate text matrix 		% tx ty Td -
{
_mtx translate _tm _tm concatmatrix pop iTm 0 0 moveto
} def

/Te	% end render					% - Te -
{
	_render -1 eq {} {_renderEnd _render get dup null ne {load exec} {pop} ifelse}
ifelse
	/_render -1 ddef
} def


% Attributes
/Ta	% set alignment					% alignment Ta -
{
pop
} def

/Tf	% set font name and size		% fontname size Tf -
{
dup 1000 div /_fScl exch ddef
exch findfont exch scalefont setfont
} def

/Tl	% set leading					% leading paragraphLeading Tl -
{
pop
0 exch _leading astore pop
} def

/Tt	% set user tracking				% userTracking Tt -
{
pop
} def

/TW % set word spacing				% minSpace optSpace maxSpace TW -
{
3 npop
} def

/Tw	% set computed word spacing		% wordSpace Tw
{
/_cx exch ddef
} def

/TC % set character spacing			% minSpace optSpace maxSpace TC -
{
3 npop
} def

/Tc	% set computed char spacing 	% charSpace Tc -
{
/_ax exch ddef
} def

/Ts % set super/subscripting (rise)	% rise Ts -
{
/_rise exch ddef
currentpoint
iTm
moveto
} def

/Ti	% set indentation				% firstStartIndent otherStartIndent stopIndent Ti -
{
3 npop
} def

/Tz % set horizontal scaling		% scalePercent Tz -
{
100 div /_hs exch ddef
iTm
} def

/TA % set pairwise kerning			% autoKern TA -
									%	autoKern = 0 -> no pair kerning
									%			 = 1 -> automatic pair kerning
{
pop
} def

/Tq % set hanging quotes			% hangingQuotes Tq -
									%	hangingQuotes 	= 0 -> no hanging quotes
									%			 		= 1 -> hanging quotes
{
pop
} def


% Text Bodies
/TX {pop} def

%/Tx	% non-justified text			% textString Tx -
%/Tj	% justified text				% textString Tj -

/Tk	% kern							% autoKern kernValue Tk -
									%  	autoKern = 0 -> manual kern, = 1 -> auto kern
									%	kernValue = kern value in em/1000 space
{
exch pop _fScl mul neg 0 rmoveto
} def
/TK	% non-printing kern				% autoKern kernValue TK -
{
2 npop
} def

/T* % carriage return & line feed	% - T* -
{
_leading aload pop neg Td
} def

/T*- % carriage return & negative line feed	% - T*- -
{
_leading aload pop Td
} def

/T-	% print a discretionary hyphen	% - T- -
{
_hyphen Tx
} def

/T+	% discretionary hyphen hyphen	% - T+ -
{} def

/TR	% reset pattern matrix 			% a b c d tx ty TR -
{
_ctm currentmatrix pop
_tm astore pop
iTm 0 0 moveto
} def

/TS	% special chars					% textString justified TS -
{
0 eq {Tx} {Tj} ifelse
} def

currentdict readonly pop end
setpacking

%%EndResource

%%BeginResource: procset Adobe_IllustratorA_AI3 1.0 1
%%Title: (Adobe Illustrator (R) Version 3.0 Abbreviated Prolog)
%%Version: 1.0
%%CreationDate: (7/22/89) ()
%%Copyright: ((C) 1987-1990 Adobe Systems Incorporated All Rights Reserved)

currentpacking true setpacking
userdict /Adobe_IllustratorA_AI3 61 dict dup begin put
% initialization
/initialize				% - initialize -
{
% 47 vars, but leave slack of 10 entries for custom Postscript fragments
userdict /Adobe_IllustratorA_AI3_vars 57 dict dup begin put

% paint operands
/_lp /none def
/_pf {} def
/_ps {} def
/_psf {} def
/_pss {} def
/_pjsf {} def
/_pjss {} def
/_pola 0 def
/_doClip 0 def

% paint operators
/cf	currentflat def	% - cf flatness

% typography operands
/_tm matrix def
/_renderStart [/e0 /r0 /a0 /o0 /e1 /r1 /a1 /i0] def
/_renderEnd [null null null null /i1 /i1 /i1 /i1] def
/_render -1 def
/_rise 0 def
/_ax 0 def			% x character spacing	(_ax, _ay, _cx, _cy follows awidthshow
%%naming convention)
/_ay 0 def			% y character spacing
/_cx 0 def			% x word spacing
/_cy 0 def			% y word spacing
/_leading [0 0] def
/_ctm matrix def
/_mtx matrix def
/_sp 16#020 def
/_hyphen (-) def
/_fScl 0 def
/_cnt 0 def
/_hs 1 def
/_nativeEncoding 0 def
/_useNativeEncoding 0 def
/_tempEncode 0 def
/_pntr 0 def
/_tDict 2 dict def

% typography operators
/Tx {} def
/Tj {} def

% compound path operators
/CRender {} def

% printing
/_AI3_savepage {} def

% color operands
/_gf null def
/_cf 4 array def
/_if null def
/_of false def
/_fc {} def
/_gs null def
/_cs 4 array def
/_is null def
/_os false def
/_sc {} def
/_i null def
Adobe_IllustratorA_AI3 begin
Adobe_IllustratorA_AI3
	{
	dup xcheck
		{
		bind
		} if
	pop pop
	} forall
end
end
Adobe_IllustratorA_AI3 begin
Adobe_IllustratorA_AI3_vars begin
newpath
} def
/terminate				% - terminate -
{
end
end
} def
% definition operators
/_					% - _ null
null def
/ddef				% key value ddef -
{
Adobe_IllustratorA_AI3_vars 3 1 roll put
} def
/xput				% key value literal xput -
{
dup load dup length exch maxlength eq
	{
	dup dup load dup
	length 2 mul dict copy def
	} if
load begin def end
} def
/npop				% integer npop -
{
	{
	pop
	} repeat
} def
% marking operators
/sw					% ax ay string sw x y
{
dup length exch stringwidth
exch 5 -1 roll 3 index 1 sub mul add
4 1 roll 3 1 roll 1 sub mul add
} def
/swj				% cx cy fillchar ax ay string swj x y
{
dup 4 1 roll
dup length exch stringwidth
exch 5 -1 roll 3 index 1 sub mul add
4 1 roll 3 1 roll 1 sub mul add
6 2 roll /_cnt 0 ddef
{1 index eq {/_cnt _cnt 1 add ddef} if} forall pop
exch _cnt mul exch _cnt mul 2 index add 4 1 roll 2 index add 4 1 roll pop pop
} def
/ss					% ax ay string matrix ss -
{
4 1 roll
	{				% matrix ax ay char 0 0 {proc} -
	2 npop
	(0) exch 2 copy 0 exch put pop
	gsave
	false charpath currentpoint
	4 index setmatrix
	stroke
	grestore
	moveto
	2 copy rmoveto
	} exch cshow
3 npop
} def
/jss				% cx cy fillchar ax ay string matrix jss -
{
4 1 roll
	{				% cx cy fillchar matrix ax ay char 0 0 {proc} -
	2 npop
	(0) exch 2 copy 0 exch put
	gsave
	_sp eq
		{
		exch 6 index 6 index 6 index 5 -1 roll widthshow
		currentpoint
		}
		{
		false charpath currentpoint
		4 index setmatrix stroke
		}ifelse
	grestore
	moveto
	2 copy rmoveto
	} exch cshow
6 npop
} def

% path operators
/sp					% ax ay string sp -
{
	{
	2 npop (0) exch
	2 copy 0 exch put pop
	false charpath
	2 copy rmoveto
	} exch cshow
2 npop
} def
/jsp					% cx cy fillchar ax ay string jsp -
{
	{					% cx cy fillchar ax ay char 0 0 {proc} -
	2 npop
	(0) exch 2 copy 0 exch put
	_sp eq
		{
		exch 5 index 5 index 5 index 5 -1 roll widthshow
		}
		{
		false charpath
		}ifelse
	2 copy rmoveto
	} exch cshow
5 npop
} def

% path construction operators
/pl				% x y pl x y
{
transform
0.25 sub round 0.25 add exch
0.25 sub round 0.25 add exch
itransform
} def
/setstrokeadjust where
	{
	pop true setstrokeadjust
	/c				% x1 y1 x2 y2 x3 y3 c -
	{
	curveto
	} def
	/C
	/c load def
	/v				% x2 y2 x3 y3 v -
	{
	currentpoint 6 2 roll curveto
	} def
	/V
	/v load def
	/y				% x1 y1 x2 y2 y -
	{
	2 copy curveto
	} def
	/Y
	/y load def
	/l				% x y l -
	{
	lineto
	} def
	/L
	/l load def
	/m				% x y m -
	{
	moveto
	} def
	}
	{%else
	/c
	{
	pl curveto
	} def
	/C
	/c load def
	/v
	{
	currentpoint 6 2 roll pl curveto
	} def
	/V
	/v load def
	/y
	{
	pl 2 copy curveto
	} def
	/Y
	/y load def
	/l
	{
	pl lineto
	} def
	/L
	/l load def
	/m
	{
	pl moveto
	} def
	}ifelse

% graphic state operators
/d					% array phase d -
{
setdash
} def
/cf	{} def			% - cf flatness
/i					% flatness i -
{
dup 0 eq
	{
	pop cf
	} if
setflat
} def
/j					% linejoin j -
{
setlinejoin
} def
/J					% linecap J -
{
setlinecap
} def
/M					% miterlimit M -
{
setmiterlimit
} def
/w					% linewidth w -
{
setlinewidth
} def

% path painting operators
/H					% - H -
{} def
/h					% - h -
{
closepath
} def
/N					% - N -
{
_pola 0 eq
	{
	_doClip 1 eq {clip /_doClip 0 ddef} if
	newpath
	}
	{
	/CRender {N} ddef
	}ifelse
} def
/n					% - n -
{N} def
/F					% - F -
{
_pola 0 eq
	{
	_doClip 1 eq
		{
		gsave _pf grestore clip newpath /_lp /none ddef _fc
		/_doClip 0 ddef
		}
		{
		_pf
		}ifelse
	}
	{
	/CRender {F} ddef
	}ifelse
} def
/f					% - f -
{
closepath
F
} def
/S					% - S -
{
_pola 0 eq
	{
	_doClip 1 eq
		{
		gsave _ps grestore clip newpath /_lp /none ddef _sc
		/_doClip 0 ddef
		}
		{
		_ps
		}ifelse
	}
	{
	/CRender {S} ddef
	}ifelse
} def
/s					% - s -
{
closepath
S
} def
/B					% - B -
{
_pola 0 eq
	{
	_doClip 1 eq 	% F clears _doClip
	gsave F grestore
		{
		gsave S grestore clip newpath /_lp /none ddef _sc
		/_doClip 0 ddef
		}
		{
		S
		}ifelse
	}
	{
	/CRender {B} ddef
	}ifelse
} def
/b					% - b -
{
closepath
B
} def
/W					% - W -
{
/_doClip 1 ddef
} def
/*					% - [string] * -
{
count 0 ne
	{
	dup type (stringtype) eq {pop} if
	} if
_pola 0 eq {newpath} if
} def

% group operators
/u					% - u -
{} def
/U					% - U -
{} def
/q					% - q -
{
_pola 0 eq {gsave} if
} def
/Q					% - Q -
{
_pola 0 eq {grestore} if
} def
/*u					% - *u -
{
_pola 1 add /_pola exch ddef
} def
/*U					% - *U -
{
_pola 1 sub /_pola exch ddef
_pola 0 eq {CRender} if
} def
/D					% polarized D -
{pop} def
/*w					% - *w -
{} def
/*W					% - *W -
{} def

% place operators
/`					% matrix llx lly urx ury string ` -
{
/_i save ddef
6 1 roll 4 npop
concat
userdict begin
/showpage {} def
false setoverprint
pop
} def
/~					% - ~ -
{
end
_i restore
} def

% color operators
/O					% flag O -
{
0 ne
/_of exch ddef
/_lp /none ddef
} def
/R					% flag R -
{
0 ne
/_os exch ddef
/_lp /none ddef
} def
/g					% gray g -
{
/_gf exch ddef
/_fc
{
_lp /fill ne
	{
	_of setoverprint
	_gf setgray
	/_lp /fill ddef
	} if
} ddef
/_pf
{
_fc
fill
} ddef
/_psf
{
_fc
ashow
} ddef
/_pjsf
{
_fc
awidthshow
} ddef
/_lp /none ddef
} def
/G					% gray G -
{
/_gs exch ddef
/_sc
{
_lp /stroke ne
	{
	_os setoverprint
	_gs setgray
	/_lp /stroke ddef
	} if
} ddef
/_ps
{
_sc
stroke
} ddef
/_pss
{
_sc
ss
} ddef
/_pjss
{
_sc
jss
} ddef
/_lp /none ddef
} def
/k					% cyan magenta yellow black k -
{
_cf astore pop
/_fc
{
_lp /fill ne
	{
	_of setoverprint
	_cf aload pop setcmykcolor
	/_lp /fill ddef
	} if
} ddef
/_pf
{
_fc
fill
} ddef
/_psf
{
_fc
ashow
} ddef
/_pjsf
{
_fc
awidthshow
} ddef
/_lp /none ddef
} def
/K					% cyan magenta yellow black K -
{
_cs astore pop
/_sc
{
_lp /stroke ne
	{
	_os setoverprint
	_cs aload pop setcmykcolor
	/_lp /stroke ddef
	} if
} ddef
/_ps
{
_sc
stroke
} ddef
/_pss
{
_sc
ss
} ddef
/_pjss
{
_sc
jss
} ddef
/_lp /none ddef
} def
/x					% cyan magenta yellow black name gray x -
{
/_gf exch ddef
findcmykcustomcolor
/_if exch ddef
/_fc
{
_lp /fill ne
	{
	_of setoverprint
	_if _gf 1 exch sub setcustomcolor
	/_lp /fill ddef
	} if
} ddef
/_pf
{
_fc
fill
} ddef
/_psf
{
_fc
ashow
} ddef
/_pjsf
{
_fc
awidthshow
} ddef
/_lp /none ddef
} def
/X					% cyan magenta yellow black name gray X -
{
/_gs exch ddef
findcmykcustomcolor
/_is exch ddef
/_sc
{
_lp /stroke ne
	{
	_os setoverprint
	_is _gs 1 exch sub setcustomcolor
	/_lp /stroke ddef
	} if
} ddef
/_ps
{
_sc
stroke
} ddef
/_pss
{
_sc
ss
} ddef
/_pjss
{
_sc
jss
} ddef
/_lp /none ddef
} def

% locked object operator
/A					% value A -
{
pop
} def

currentdict readonly pop end
setpacking

% annotate page operator
/annotatepage
{
} def
%%EndResource
%AI3-Grid.0 18 18 3 0 0 0 3
%%EndProlog
%%BeginSetup
%%IncludeFont: Helvetica
%%IncludeFont: Symbol
Adobe_cmykcolor /initialize get exec

Adobe_cshow /initialize get exec

Adobe_customcolor /initialize get exec

Adobe_typography_AI3 /initialize get exec


Adobe_IllustratorA_AI3 /initialize get exec

[
129/Agrave/Aacute/Acircumflex/Atilde/Adieresis/Aring/Ccedilla
/Egrave/Eacute/Ecircumflex/Edieresis/Igrave/Iacute/Icircumflex
/Idieresis/Eth/Ntilde/Ograve/Oacute/Ocircumflex/Otilde/Odieresis
/Ugrave/Uacute/Ucircumflex/Udieresis/Yacute/Thorn/mu/multiply
/divide/copyright 176/registered 181/brokenbar 190/logicalnot
192/onesuperior 201/twosuperior 204/threesuperior 209/plusminus
/onequarter/onehalf/threequarters/agrave/aacute/acircumflex
/atilde/adieresis/aring/ccedilla/egrave/eacute/ecircumflex
/edieresis/igrave 226/iacute 228/icircumflex/idieresis/eth/ntilde
236/ograve/oacute/ocircumflex/otilde/odieresis 242/ugrave/uacute
/ucircumflex 246/udieresis/yacute 252/thorn/ydieresis
TE
%AI3_BeginEncoding: _Helvetica Helvetica
[/_Helvetica/Helvetica 0 0 1 TZ
%AI3_EndEncoding
%AI3_BeginEncoding: _Symbol Symbol
[34/universal
36/existential
39/suchthat
42/asteriskmath
45/minus
64/congruent
/Alpha
/Beta
/Chi
/Delta
/Epsilon
/Phi
/Gamma
/Eta
/Iota
/theta1
/Kappa
/Lambda
/Mu
/Nu
/Omicron
/Pi
/Theta
/Rho
/Sigma
/Tau
/Upsilon
/sigma1
/Omega
/Xi
/Psi
/Zeta
92/therefore
94/perpendicular
96/radicalex
/alpha
/beta
/chi
/delta
/epsilon
/phi
/gamma
/eta
/iota
/phi1
/kappa
/lambda
/mu
/nu
/omicron
/pi
/theta
/rho
/sigma
/tau
/upsilon
/omega1
/omega
/xi
/psi
/zeta
126/similar
161/Upsilon1
/minute
/lessequal
165/infinity
167/club
/diamond
/heart
/spade
/arrowboth
/arrowleft
/arrowup
/arrowright
/arrowdown
/degree
/plusminus
/second
/greaterequal
/multiply
/proportional
/partialdiff
184/divide
/notequal
/equivalence
/approxequal
189/arrowvertex
/arrowhorizex
/carriagereturn
/aleph
/Ifraktur
/Rfraktur
/weierstrass
/circlemultiply
/circleplus
/emptyset
/intersection
/union
/propersuperset
/reflexsuperset
/notsubset
/propersubset
/reflexsubset
/element
/notelement
/angle
/gradient
/registerserif
/copyrightserif
/trademarkserif
/product
/radical
/dotmath
/logicalnot
/logicaland
/logicalor
/arrowdblboth
/arrowdblleft
/arrowdblup
/arrowdblright
/arrowdbldown
/lozenge
/angleleft
/registersans
/copyrightsans
/trademarksans
/summation
/parenlefttp
/parenleftex
/parenleftbt
/bracketlefttp
/bracketleftex
/bracketleftbt
/bracelefttp
/braceleftmid
/braceleftbt
/braceex
241/angleright
/integral
/integraltp
/integralex
/integralbt
/parenrighttp
/parenrightex
/parenrightbt
/bracketrighttp
/bracketrightex
/bracketrightbt
/bracerighttp
/bracerightmid
/bracerightbt
/_Symbol/Symbol 0 0 0 TZ
%AI3_EndEncoding
%%EndSetup
userdict /Next_printPackage 80 dict dup begin put
%%NXNextStepVersion: 3.0
%%EndComments

%%BeginProcSet: /usr/lib/NextStep/printPackage.ps 3.0
%!
% NeXT Printing Package
% Version: 3.0
% Copyright: 1988, NeXT, Inc.

/__NXdef{1 index where{pop pop pop}{def}ifelse}bind def
/__NXbdef{1 index where{pop pop pop}{bind def}ifelse}bind def
/UserObjects 10 array __NXdef
/defineuserobject{
	exch dup 1 add dup UserObjects length gt{
		array dup 0 UserObjects putinterval
		/UserObjects exch def
	}{pop}ifelse UserObjects exch 3 -1 roll put
}__NXbdef
/undefineuserobject{UserObjects exch null put}__NXbdef
/execuserobject{UserObjects exch get exec}__NXbdef
/__NXRectPath{4 2 roll moveto 1 index 0 rlineto
0 exch rlineto neg 0 rlineto closepath}__NXbdef
/__NXProcessRectArgs{
	1 index type /arraytype eq{
		exch 0 4 2 index length 1 sub{
			dup 3 add 1 exch{1 index exch get exch}for
			5 1 roll 5 index exec
		}for pop pop
	}{exec}ifelse
}__NXbdef
/rectfill{gsave newpath {__NXRectPath fill} __NXProcessRectArgs
grestore}__NXbdef
/rectclip{newpath {__NXRectPath} __NXProcessRectArgs clip newpath}__NXbdef
/rectstroke{
	gsave newpath dup type /arraytype eq{dup length 6 eq}{false}ifelse{
		{gsave __NXRectPath null concat stroke grestore}
		dup length array cvx copy dup 2 4 -1 roll put __NXProcessRectArgs
	}{{__NXRectPath stroke} __NXProcessRectArgs}ifelse grestore
}__NXbdef
/_NXLevel2 systemdict /languagelevel known {languagelevel 2 ge}{false}ifelse
__NXdef
/xyshow{
	0 1 3 index length 1 sub{
		currentpoint 4 index 3 index 1 getinterval show
		3 index 3 index 2 mul 1 add get add exch
		3 index	3 index 2 mul get add exch moveto pop
	}for pop pop
}__NXbdef
/xshow{
	0 1 3 index length 1 sub{
		currentpoint 4 index 3 index 1 getinterval show
		exch 3 index 3 index get add exch moveto pop
	}for pop pop
}__NXbdef
/yshow{
	0 1 3 index length 1 sub{
		currentpoint 4 index 3 index 1 getinterval show
		3 index 3 index get add moveto pop
	}for pop pop
}__NXbdef
/arct{arcto pop pop pop pop}__NXbdef
/setbbox{pop pop pop pop}__NXbdef
/ucache{}__NXbdef
/ucachestatus{mark 0 0 0 0 0}__NXbdef
/setucacheparams{cleartomark}__NXbdef
/uappend{systemdict begin cvx exec end}__NXbdef
/ueofill{gsave newpath uappend eofill grestore}__NXbdef
/ufill{gsave newpath uappend fill grestore}__NXbdef
/ustroke{
	gsave newpath dup length 6 eq
	{exch uappend concat}{uappend}ifelse
	stroke grestore
}__NXbdef
/__NXustrokepathMatrix dup where {pop pop}{matrix def}ifelse
/ustrokepath{
	newpath dup length 6 eq{
		exch uappend __NXustrokepathMatrix currentmatrix exch concat
		strokepath setmatrix
	}{uappend strokepath}ifelse
} __NXbdef
/upath{
	[exch {/ucache cvx}if pathbbox /setbbox cvx
	 {/moveto cvx}{/lineto cvx}{/curveto cvx}{/closepath cvx}pathforall]cvx
} __NXbdef
/setstrokeadjust{pop}__NXbdef
/currentstrokeadjust{false}__NXbdef
/selectfont{exch findfont exch
dup type /arraytype eq {makefont}{scalefont}ifelse setfont}__NXbdef
/_NXCombineArrays{
	counttomark dup 2 add index dup length 3 -1 roll {
		2 index length sub dup 4 1 roll 1 index exch 4 -1 roll putinterval exch
	}repeat pop pop pop
}__NXbdef
/flushgraphics{}def
/setwindowtype{pop pop}def
/currentwindowtype{pop 0}def
/setalpha{pop}def
/currentalpha{1.0}def
/hidecursor{}def
/obscurecursor{}def
/revealcursor{}def
/setcursor{4 {pop}repeat}bind def
/showcursor{}def
/NextStepEncoding where not{
/NextStepEncoding StandardEncoding 256 array copy def
0 [129/Agrave/Aacute/Acircumflex/Atilde/Adieresis/Aring/Ccedilla/Egrave
/Eacute/Ecircumflex/Edieresis/Igrave/Iacute/Icircumflex/Idieresis
/Eth/Ntilde/Ograve/Oacute/Ocircumflex/Otilde/Odieresis/Ugrave/Uacute
/Ucircumflex/Udieresis/Yacute/Thorn/mu/multiply/divide/copyright
176/registered 181/brokenbar 190/logicalnot 192/onesuperior 201/twosuperior
204/threesuperior 209/plusminus/onequarter/onehalf/threequarters/agrave
/aacute/acircumflex/atilde/adieresis/aring/ccedilla/egrave/eacute
/ecircumflex/edieresis/igrave 226/iacute 228/icircumflex/idieresis/eth
/ntilde 236/ograve/oacute/ocircumflex/otilde/odieresis 242/ugrave/uacute
/ucircumflex 246/udieresis/yacute 252/thorn/ydieresis]
{dup type /nametype eq
 {NextStepEncoding 2 index 2 index put pop 1 add}{exch pop}ifelse
}forall pop
/NextStepEncoding NextStepEncoding readonly def
/_NXfstr 128 string dup 0 (_NX) putinterval def
/_NXfindfont /findfont load def
/findfont{
 % Because we can never let NextStepEncoding get into
 % SharedFontDirectory, we cannot reencode a font to NextStepEncoding
 % if we are in shared mode.  So if currentshared is true,
 % we call the normal findfont and return that
 /currentshared where {pop currentshared} {false} ifelse
 {_NXfindfont}
 {dup _NXfstr 3 125 getinterval cvs length 3 add _NXfstr 0 3 -1 roll
  getinterval cvn exch FontDirectory 2 index known
  {pop FontDirectory exch get}
  {_NXfindfont dup /Encoding get StandardEncoding eq
   {	dup length dict exch
	{1 index /FID ne {2 index 3 1 roll put}{pop pop}ifelse}forall
	 dup /Encoding NextStepEncoding put definefont
	}{exch pop} ifelse
   }ifelse
 }ifelse
}bind def
}{pop}ifelse
/_NXImageString {/__NXImageString where{pop}{/__NXImageString 4000 string
__NXdef}ifelse __NXImageString}__NXbdef
/_NXDoImageOp{
	3 dict begin /parr 5 array def 1 index{dup}{1}ifelse /chans exch def
	chans 2 add 2 roll parr 0 chans getinterval astore pop
	5 index 4 index mul 2 index{1 sub 8 idiv 1 add mul}{mul 1 sub 8 idiv 1
add}ifelse
	4 index mul /totbytes exch def pop exch pop
	gsave matrix invertmatrix concat 0.5 setgray 0 0 4 2 roll rectfill grestore
	{0 1 chans 1 sub{parr exch get exec length totbytes exch sub /totbytes exch
def}for totbytes 0 le{exit}if}loop end
}__NXbdef
/alphaimage{1 add _NXDoImageOp}def
_NXLevel2{
	/NXCalibratedRGBColorSpace where{pop}{
		/NXCalibratedRGBColorSpace
		{mark /NXCalibratedRGB /ColorSpace findresource exch pop}stopped
		{cleartomark /NXCalibratedRGB[/CIEBasedABC 2 dict dup begin
		/MatrixLMN[.4124 .2126 .0193 .3576 .7152 .1192 .1805 .0722 .9505]def
		/WhitePoint[.9505 1 1.089] def end] /ColorSpace defineresource}if def}ifelse
	/nxsetrgbcolor{NXCalibratedRGBColorSpace setcolorspace setcolor}__NXbdef
	/nxsetgray{dup dup nxsetrgbcolor}__NXbdef
	/_NXCalibratedImage{exch{array astore dup length true}{false}ifelse
		8 -1 roll{NXCalibratedRGBColorSpace setcolorspace}if
		8 dict dup 9 1 roll begin /ImageType 1 def /MultipleDataSources exch def
		currentcolorspace 0 get /Indexed eq{pop /Decode[0 2 6 index exp 1 sub]def}
		{2 mul dup array /Decode exch def 1 sub 0 1 3 -1 roll{Decode exch dup 2 mod
put}for}ifelse
		/DataSource exch def /ImageMatrix exch def
		/BitsPerComponent exch def /Height exch def /Width exch def end
image}__NXbdef
} {
	/setcmykcolor{
		1.0 exch sub dup dup 6 -1 roll sub dup 0 lt{pop 0}if 5 1 roll
		4 -1 roll sub dup 0 lt{pop 0}if 3 1 roll exch sub dup 0 lt{pop 0}if
setrgbcolor}__NXbdef
	/currentcmykcolor{currentrgbcolor 3{1.0 exch sub 3 1 roll}repeat 0}__NXbdef
	/colorimage{_NXDoImageOp}__NXbdef
	/nxsetrgbcolor{setrgbcolor}__NXbdef /nxsetgray{setgray}__NXbdef
	/setpattern{pop .5 setgray}__NXbdef
	/_NXCalibratedImage{dup 1 eq {pop pop image}{colorimage}ifelse pop}__NXbdef
} ifelse
/_NXSetCMYKOrRGB where{pop}{
	mark{systemdict /currentwindow get exec}stopped
	{{pop pop pop setcmykcolor}}{{nxsetrgbcolor pop pop pop pop}}ifelse
/_NXSetCMYKOrRGB exch def cleartomark
}ifelse
%%EndProcSet

_NXLevel2{/_NXsethsb where{pop}{/_NXsethsb /sethsbcolor load def}ifelse
/sethsbcolor{_NXsethsb currentrgbcolor nxsetrgbcolor}def
/setrgbcolor{nxsetrgbcolor}bind def /setgray{nxsetgray}bind def
}if
gsave
317 246 translate
 /__NXbasematrix matrix currentmatrix def
grestore
%%EndProlog

%%Page: 1 1
%%PageBoundingBox: 0 0 612 792
%%PageFonts: (atend)
%%BeginPageSetup
%%PaperSize: Letter
/__NXsheetsavetoken save def
0 0 translate
gsave
317 246 translate
 /__NXbasematrix matrix currentmatrix def
grestore
gsave
0 0 translate
1 1 scale
%%EndPageSetup
gsave
0 0 612 792 rectclip
/Symbol findfont 1 scalefont [1 0 0 -1 0 0] makefont
77
exch
defineuserobject
77 execuserobject setfont
77 execuserobject setfont
/Helvetica findfont 1 scalefont [1 0 0 -1 0 0] makefont
78
exch
defineuserobject
78 execuserobject setfont
78 execuserobject setfont
78 execuserobject setfont
78 execuserobject setfont
77 execuserobject setfont
77 execuserobject setfont
78 execuserobject setfont
78 execuserobject setfont
77 execuserobject setfont
77 execuserobject setfont
78 execuserobject setfont
78 execuserobject setfont
77 execuserobject setfont
77 execuserobject setfont
78 execuserobject setfont
78 execuserobject setfont
77 execuserobject setfont
77 execuserobject setfont
78 execuserobject setfont
78 execuserobject setfont
0 A
u
0 R
0 G
0 i 0 J 0 j 0.5 w 4 M []0 d
%AI3_Note:
0 D
491 583 m
491 743 L
143 743 L
143 583 L
491 583 L
s
317 663 m
S
U
143 706 m
492 706 l
S
316 706 m
316 582 l
S
316 668 m
491 668 l
S
228 677 m
228 583 l
S
404 668 m
404 583 l
S
143 647 m
228 647 l
S
228 635 m
316 635 l
S
316 642 m
404 642 l
S
404 631 m
491 631 l
S
185 647 m
185 583 l
S
271 635 m
271 583 l
S
362 642 m
362 583 l
S
449 631 m
449 583 l
S
143 614 m
185 614 l
S
164 614 m
164 584 l
S
185 619 m
228 619 l
S
206 619 m
206 583 l
S
228 608 m
271 608 l
S
250 608 m
250 583 l
S
272 612 m
316 612 l
S
294 612 m
294 584 l
S
316 618 m
362 618 l
S
339 618 m
339 583 l
S
362 612 m
404 612 l
S
383 612 m
383 583 l
S
426 617 m
426 583 l
S
469 608 m
469 583 l
S
404 618.5 m
448.5 618.5 l
S
449 609 m
491 609 l
S
358.375 575.5625 m
360.625 578.3125 l
341.125 578.3125 l
343.875 580.5625 l
S
343.6875 575.625 m
341.0625 578.25 l
S
360.625 578.3125 m
358.375 580.5625 l
S
0 To
1 0 0 1 346 564.25 0 Tp
TP
0 Tr
0 O
0 g
1 w
/_Symbol 14 Tf
0 Ts
100 Tz
0 Tt
0 TA
0 0 5 TC
100 100 200 TW
0 0 0 Ti
0 Ta
0 Tq
12 0 Tl
0 Tc
0 Tw
(D) Tx
(\r) TX
TO
0 To
1 0 0 1 303 521 0 Tp
TP
0 Tr
/_Helvetica 12 Tf
(Figure 1) Tx
(\r) TX
TO
0 R
0 G
0.5 w
143 677 m
315.5 677 l
S
u
0 O
0.8 g
1 w
489.5 708 m
489.5 741 L
145 741 L
145 708 L
489.5 708 L
f
317.25 724.5 m
F
U
u
490.0013 669.5 m
490.0013 704 L
317.5 704 L
317.5 669.5 L
490.0013 669.5 L
f
403.7506 686.75 m
F
U
u
402.5 644 m
402.5 665.5 L
317.5 665.5 L
317.5 644 L
402.5 644 L
f
360 654.75 m
F
U
u
360.5 620 m
360.5 640 L
318 640 L
318 620 L
360.5 620 L
f
339.25 630 m
F
U
u
360 585 m
360 616.5 L
341 616.5 L
341 585 L
360 585 L
f
350.5 600.75 m
F
U
0 To
1 0 0 1 394.157 685.231 0 Tp
TP
0 Tr
0 g
/_Helvetica 14 Tf
(w) Tx
/_Symbol 10 Tf
(1) Tx
(\r) TX
TO
0 To
1 0 0 1 352.657 652.231 0 Tp
TP
0 Tr
/_Helvetica 14 Tf
(w) Tx
/_Symbol 10 Tf
(2) Tx
(\r) TX
TO
0 To
1 0 0 1 333.157 626.731 0 Tp
TP
0 Tr
/_Helvetica 14 Tf
(w) Tx
/_Symbol 10 Tf
(3) Tx
(\r) TX
TO
0 To
1 0 0 1 343.657 595.731 0 Tp
TP
0 Tr
/_Helvetica 14 Tf
(w) Tx
/_Symbol 10 Tf
(4) Tx
(\r) TX
TO
0 R
0 G
143.125 560 m
491.625 560 l
S
0 O
0 g
488.875 562.875 m
491.8125 559.9375 l
489.4375 556.8125 l
B
146.5 563.375 m
143.0625 559.9375 l
146.625 556.5 146.5 556.5 v
F
0 To
1 0 0 1 312.5 546 0 Tp
TP
0 Tr
/_Helvetica 14 Tf
(Y) Tx
(\r) TX
TO
annotatepage
grestore
grestore
showpage
__NXsheetsavetoken restore
%%PageTrailer
%%DocumentFonts: Symbol
%%+ Helvetica
end %Next_printPackage
%%Trailer
Adobe_IllustratorA_AI3 /terminate get exec

Adobe_typography_AI3 /terminate get exec


Adobe_customcolor /terminate get exec

Adobe_cshow /terminate get exec

Adobe_cmykcolor /terminate get exec

Adobe_packedarray /terminate get exec

%%EOF

%%%%%%%%%%%%%%%%%%%%%
% Postscript file: fig2.ps
%!PS-Adobe-2.0
%%Title: Fig2.ai    __    /private/Net/ecu/users/meunier/Edition/Pesch
%%Creator: Adobe_Illustrator
%%CreationDate: Thu Jan 28 17:19:06 1993
%%For: meunier
%%DocumentFonts: (atend)
%%Pages: 1 1
%%DocumentPaperSizes: Letter
%%Orientation: Portrait
%!PS-Adobe-3.0 EPSF-3.0
%%Creator: Adobe Illustrator(TM) 3.0.1.
%%For: () ()
%%CreationDate: (1/28/93) (17:19)
%%BoundingBox: 56 491 430 659
%%DocumentProcessColors: Black
%%DocumentFonts: Helvetica
%%+ Symbol
%%DocumentSuppliedResources: procset Adobe_packedarray 2.0 0
%%+ procset Adobe_cmykcolor 1.1 0
%%+ procset Adobe_cshow 1.1 0
%%+ procset Adobe_customcolor 1.0 0
%%+ procset Adobe_typography_AI3 1.0 1
%%+ procset Adobe_IllustratorA_AI3 1.0 1
%AI3_ColorUsage: Black&White
%AI3_TemplateBox: 306 396 306 396
%AI3_TileBox: 30 31 582 761
%AI3_DocumentPreview: Header
%%Template:
%%PageOrigin:30 31
%%AI3_PaperRect:0 792 612 0
%%AI3_Margin:30 31 30 31
%%EndComments
%%BeginProlog
%%BeginResource: procset Adobe_packedarray 2.0 0
%%Title: (Packed Array Operators)
%%Version: 2.0
%%CreationDate: (8/2/90) ()
%%Copyright: ((C) 1987-1990 Adobe Systems Incorporated All Rights Reserved)

userdict /Adobe_packedarray 5 dict dup begin put
/initialize			% - initialize -
{
/packedarray where
	{
	pop
	}
	{
	Adobe_packedarray begin
	Adobe_packedarray
		{
		dup xcheck
			{
			bind
			} if
		userdict 3 1 roll put
		} forall
	end
	} ifelse
} def
/terminate			% - terminate -
{
} def
/packedarray		% arguments count packedarray array
{
array astore readonly
} def
/setpacking			% boolean setpacking -
{
pop
} def
/currentpacking		% - setpacking boolean
{
false
} def
currentdict readonly pop end
%%EndResource
Adobe_packedarray /initialize get exec

%%BeginResource: procset Adobe_cmykcolor 1.1 0
%%Title: (CMYK Color Operators)
%%Version: 1.1
%%CreationDate: (1/23/89) ()
%%Copyright: ((C) 1987-1990 Adobe Systems Incorporated All Rights Reserved)

currentpacking true setpacking
userdict /Adobe_cmykcolor 4 dict dup begin put
/initialize			% - initialize -
{
/setcmykcolor where
	{
	pop
	}
	{
	userdict /Adobe_cmykcolor_vars 2 dict dup begin put
	/_setrgbcolor
		/setrgbcolor load def
	/_currentrgbcolor
		/currentrgbcolor load def
	Adobe_cmykcolor begin
	Adobe_cmykcolor
		{
		dup xcheck
			{
			bind
			} if
		pop pop
		} forall
	end
	end
	Adobe_cmykcolor begin
	} ifelse
} def
/terminate			% - terminate -
{
currentdict Adobe_cmykcolor eq
	{
	end
	} if
} def
/setcmykcolor		% cyan magenta yellow black setcmykcolor -
{
1 sub 4 1 roll
3
	{
	3 index add neg dup 0 lt
		{
		pop 0
		} if
	3 1 roll
	} repeat
Adobe_cmykcolor_vars /_setrgbcolor get exec
pop
} def
/currentcmykcolor	% - currentcmykcolor cyan magenta yellow black
{
Adobe_cmykcolor_vars /_currentrgbcolor get exec
3
	{
	1 sub neg 3 1 roll
	} repeat
0
} def
currentdict readonly pop end
setpacking

%%EndResource
%%BeginResource: procset Adobe_cshow 1.1 0
%%Title: (cshow Operator)
%%Version: 1.1
%%CreationDate: (1/23/89) ()
%%Copyright: ((C) 1987-1990 Adobe Systems Incorporated All Rights Reserved)

currentpacking true setpacking
userdict /Adobe_cshow 3 dict dup begin put
/initialize			% - initialize -
{
/cshow where
	{
	pop
	}
	{
	userdict /Adobe_cshow_vars 1 dict dup begin put
	/_cshow		% - _cshow proc
		{} def
	Adobe_cshow begin
	Adobe_cshow
		{
		dup xcheck
			{
			bind
			} if
		userdict 3 1 roll put
		} forall
	end
	end
	} ifelse
} def
/terminate			% - terminate -
{
} def
/cshow				% proc string cshow -
{
exch
Adobe_cshow_vars
	exch /_cshow
	exch put
	{
	0 0 Adobe_cshow_vars /_cshow get exec
	} forall
} def
currentdict readonly pop end
setpacking

%%EndResource
%%BeginResource: procset Adobe_customcolor 1.0 0
%%Title: (Custom Color Operators)
%%Version: 1.0
%%CreationDate: (5/9/88) ()
%%Copyright: ((C) 1987-1990 Adobe Systems Incorporated All Rights Reserved)

currentpacking true setpacking
userdict /Adobe_customcolor 5 dict dup begin put
/initialize			% - initialize -
{
/setcustomcolor where
	{
	pop
	}
	{
	Adobe_customcolor begin
	Adobe_customcolor
		{
		dup xcheck
			{
			bind
			} if
		pop pop
		} forall
	end
	Adobe_customcolor begin
	} ifelse
} def
/terminate			% - terminate -
{
currentdict Adobe_customcolor eq
	{
	end
	} if
} def
/findcmykcustomcolor	% cyan magenta yellow black name findcmykcustomcolor
%%object
{
5 packedarray
}  def
/setcustomcolor		% object tint setcustomcolor -
{
exch
aload pop pop
4
	{
	4 index mul 4 1 roll
	} repeat
5 -1 roll pop
setcmykcolor
} def
/setoverprint		% boolean setoverprint -
{
pop
} def
currentdict readonly pop end
setpacking

%%EndResource
%%BeginResource: procset Adobe_typography_AI3 1.0 1
%%Title: (Typography Operators)
%%Version: 1.0
%%CreationDate:(5/31/90) ()
%%Copyright: ((C) 1987-1990 Adobe Systems Incorporated All Rights Reserved)

currentpacking true setpacking
userdict /Adobe_typography_AI3 47 dict dup begin put
/initialize			% - initialize -
{
/TZ
 where
	{
	pop
	}
	{
	Adobe_typography_AI3 begin
	Adobe_typography_AI3
		{
		dup xcheck
			{
			bind
			} if
		pop pop
		} forall
	end
	Adobe_typography_AI3 begin
	} ifelse
} def
/terminate			% - terminate -
{
currentdict Adobe_typography_AI3 eq
	{
	end
	} if
} def

% [ number value stream [ array for encoding modification ] modifyEncoding ==>
%%[ modified array ]
/modifyEncoding
{
	/_tempEncode exch ddef

	% pointer for sequential encodings
	/_pntr 0 ddef

	{
		% get bottom object
		counttomark -1 roll

		% is it a mark ?
		dup type dup /marktype eq
		{
			% exit
			pop pop exit
		}
		{
			% ... object ... type ....

			% insert if a nametype
			/nametype eq
			{
				% insert the name at _pntr and increment pointer
				_tempEncode /_pntr dup load dup 3 1 roll 1 add ddef 3 -1 roll
				put
			}
			{
				% reset _pntr if it's a number
				/_pntr exch ddef
			}
			ifelse
		}
		ifelse
	}
	loop

	% return the modified encoding
	_tempEncode
}
def

/TE	% Set std platform encoding 	% (encoding pairs) TE -
{
	StandardEncoding 256 array copy modifyEncoding
	/_nativeEncoding exch def
} def

% re-define font
% expected arguments
% for 'normal fonts :
%	[ /_Helvetica-Bold/Helvetica-Bold direction fontScript defaultEncoding TZ
%
% for cartographic, pictographic, and expert fonts :
% 	[ ... number value stream ... /_Helvetica-Bold/Helvetica-Bold
%	direction fontScript defaultEncoding TZ
/TZ
{
	% platform dependent coding flag
	/_useNativeEncoding exch def

	% pop fontScript & direction
	pop pop

	% create a new dictionary with length
	% equal to original dictionary length + 2
	% copy all the key/value pairs except FID
	findfont dup length 2 add dict

	begin

		% copy all the values but the FID
		% into the new dictionary
		mark exch
		{
			1 index /FID ne { def } if cleartomark mark
		}
		forall
		% discard last mark
		pop

		% define FontName
		/FontName exch def

		% if no re-encoding stream is present
		% then if the use platform encoding flag is true
		% install AI platform encoding
		% else leave the base encoding in effect

		counttomark 0 eq
		{
			1 _useNativeEncoding eq
			{
				/Encoding _nativeEncoding def
			}
			if
			% clean up
			cleartomark
		}
		{
			% custom encoding to be done
			% start off with a copy of the font's standard encoding
			/Encoding load 256 array copy
			modifyEncoding /Encoding exch def
		}
		ifelse
		FontName currentdict
	end

	% register the new font
	definefont pop
}
def

% text painting operators
/tr					% string tr ax ay string
{
_ax _ay 3 2 roll
} def
/trj				% string trj cx cy fillchar ax ay string
{
_cx _cy _sp _ax _ay 6 5 roll
} def

/a0
{
/Tx	% text							% textString Tx -
	{
	dup
	currentpoint 3 2 roll
	tr _psf
	newpath moveto
	tr _ctm _pss
	} ddef
/Tj	% justified text				% textString Tj -
	{
	dup
	currentpoint 3 2 roll
	trj _pjsf
	newpath moveto
	trj _ctm _pjss
	} ddef

} def
/a1
{
/Tx	% text							% textString Tx -
	{
	dup currentpoint 4 2 roll gsave
	dup currentpoint 3 2 roll
	tr _psf
	newpath moveto
	tr _ctm _pss
	grestore 3 1 roll moveto tr sp
	} ddef
/Tj	% justified text				% textString Tj -
	{
	dup currentpoint 4 2 roll gsave
	dup currentpoint 3 2 roll
	trj _pjsf
	newpath moveto
	trj _ctm _pjss
	grestore 3 1 roll moveto tr sp
	} ddef

} def

/e0
{
/Tx	% text							% textString Tx -
	{
	tr _psf
	} ddef
/Tj	% justified text				% textString Tj -
	{
	trj _pjsf
	} ddef
} def

/e1
{
/Tx	% text							% textString Tx -
	{
	dup currentpoint 4 2 roll gsave
	tr _psf
	grestore 3 1 roll moveto tr sp
	} ddef
/Tj	% justified text				% textString Tj -
	{
	dup currentpoint 4 2 roll gsave
	trj _pjsf
	grestore 3 1 roll moveto tr sp
	} ddef
} def

/i0
{
/Tx	% text							% textString Tx -
	{
	tr sp
	} ddef
/Tj	% justified text				% textString Tj -
	{
	trj jsp
	} ddef
} def

/i1
{
W N
} def

/o0
{
/Tx	% text							% textString Tx -
	{
	tr sw rmoveto
	} ddef
/Tj	% justified text				% textString Tj -
	{
	trj swj rmoveto
	} ddef
} def

/r0
{
/Tx	% text							% textString Tx -
	{
	tr _ctm _pss
	} ddef
/Tj	% justified text				% textString Tj -
	{
	trj _ctm _pjss
	} ddef
} def

/r1
{
/Tx	% text							% textString Tx -
	{
	dup currentpoint 4 2 roll currentpoint gsave newpath moveto
	tr _ctm _pss
	grestore 3 1 roll moveto tr sp
	} ddef
/Tj	% justified text				% textString Tj -
	{
	dup currentpoint 4 2 roll currentpoint gsave newpath moveto
	trj _ctm _pjss
	grestore 3 1 roll moveto tr sp
	} ddef
} def

% font operators

% Binding
/To	% begin text 					% bindType To -
{
	pop _ctm currentmatrix pop
} def

/TO	% end text					% TO -
{
	Te _ctm setmatrix newpath
} def

% Text paths
/Tp	% begin text path				% a b c d tx ty startPt Tp -
{
	pop _tm astore pop _ctm setmatrix
	_tDict begin /W {} def /h {} def
} def

/TP	% end text path					% TP -
{
	end
	iTm 0 0 moveto
} def

% Render mode & matrix operators
/Tr	% begin render					% render Tr -
{
	_render 3 le {currentpoint newpath moveto} if
	dup 8 eq {pop 0} {dup 9 eq {pop 1} if} ifelse
	dup /_render exch ddef
	_renderStart exch get load exec
} def

/iTm % internal set text matrix		% - iTm -	(uses _tm as implicit argument)
{
_ctm setmatrix _tm concat 0 _rise translate _hs 1 scale
} def

/Tm % set text matrix				% a b c d tx ty Tm -
{
_tm astore pop iTm 0 0 moveto
} def

/Td % translate text matrix 		% tx ty Td -
{
_mtx translate _tm _tm concatmatrix pop iTm 0 0 moveto
} def

/Te	% end render					% - Te -
{
	_render -1 eq {} {_renderEnd _render get dup null ne {load exec} {pop} ifelse}
ifelse
	/_render -1 ddef
} def


% Attributes
/Ta	% set alignment					% alignment Ta -
{
pop
} def

/Tf	% set font name and size		% fontname size Tf -
{
dup 1000 div /_fScl exch ddef
exch findfont exch scalefont setfont
} def

/Tl	% set leading					% leading paragraphLeading Tl -
{
pop
0 exch _leading astore pop
} def

/Tt	% set user tracking				% userTracking Tt -
{
pop
} def

/TW % set word spacing				% minSpace optSpace maxSpace TW -
{
3 npop
} def

/Tw	% set computed word spacing		% wordSpace Tw
{
/_cx exch ddef
} def

/TC % set character spacing			% minSpace optSpace maxSpace TC -
{
3 npop
} def

/Tc	% set computed char spacing 	% charSpace Tc -
{
/_ax exch ddef
} def

/Ts % set super/subscripting (rise)	% rise Ts -
{
/_rise exch ddef
currentpoint
iTm
moveto
} def

/Ti	% set indentation				% firstStartIndent otherStartIndent stopIndent Ti -
{
3 npop
} def

/Tz % set horizontal scaling		% scalePercent Tz -
{
100 div /_hs exch ddef
iTm
} def

/TA % set pairwise kerning			% autoKern TA -
									%	autoKern = 0 -> no pair kerning
									%			 = 1 -> automatic pair kerning
{
pop
} def

/Tq % set hanging quotes			% hangingQuotes Tq -
									%	hangingQuotes 	= 0 -> no hanging quotes
									%			 		= 1 -> hanging quotes
{
pop
} def


% Text Bodies
/TX {pop} def

%/Tx	% non-justified text			% textString Tx -
%/Tj	% justified text				% textString Tj -

/Tk	% kern							% autoKern kernValue Tk -
									%  	autoKern = 0 -> manual kern, = 1 -> auto kern
									%	kernValue = kern value in em/1000 space
{
exch pop _fScl mul neg 0 rmoveto
} def
/TK	% non-printing kern				% autoKern kernValue TK -
{
2 npop
} def

/T* % carriage return & line feed	% - T* -
{
_leading aload pop neg Td
} def

/T*- % carriage return & negative line feed	% - T*- -
{
_leading aload pop Td
} def

/T-	% print a discretionary hyphen	% - T- -
{
_hyphen Tx
} def

/T+	% discretionary hyphen hyphen	% - T+ -
{} def

/TR	% reset pattern matrix 			% a b c d tx ty TR -
{
_ctm currentmatrix pop
_tm astore pop
iTm 0 0 moveto
} def

/TS	% special chars					% textString justified TS -
{
0 eq {Tx} {Tj} ifelse
} def

currentdict readonly pop end
setpacking

%%EndResource

%%BeginResource: procset Adobe_IllustratorA_AI3 1.0 1
%%Title: (Adobe Illustrator (R) Version 3.0 Abbreviated Prolog)
%%Version: 1.0
%%CreationDate: (7/22/89) ()
%%Copyright: ((C) 1987-1990 Adobe Systems Incorporated All Rights Reserved)

currentpacking true setpacking
userdict /Adobe_IllustratorA_AI3 61 dict dup begin put
% initialization
/initialize				% - initialize -
{
% 47 vars, but leave slack of 10 entries for custom Postscript fragments
userdict /Adobe_IllustratorA_AI3_vars 57 dict dup begin put

% paint operands
/_lp /none def
/_pf {} def
/_ps {} def
/_psf {} def
/_pss {} def
/_pjsf {} def
/_pjss {} def
/_pola 0 def
/_doClip 0 def

% paint operators
/cf	currentflat def	% - cf flatness

% typography operands
/_tm matrix def
/_renderStart [/e0 /r0 /a0 /o0 /e1 /r1 /a1 /i0] def
/_renderEnd [null null null null /i1 /i1 /i1 /i1] def
/_render -1 def
/_rise 0 def
/_ax 0 def			% x character spacing	(_ax, _ay, _cx, _cy follows awidthshow
%%naming convention)
/_ay 0 def			% y character spacing
/_cx 0 def			% x word spacing
/_cy 0 def			% y word spacing
/_leading [0 0] def
/_ctm matrix def
/_mtx matrix def
/_sp 16#020 def
/_hyphen (-) def
/_fScl 0 def
/_cnt 0 def
/_hs 1 def
/_nativeEncoding 0 def
/_useNativeEncoding 0 def
/_tempEncode 0 def
/_pntr 0 def
/_tDict 2 dict def

% typography operators
/Tx {} def
/Tj {} def

% compound path operators
/CRender {} def

% printing
/_AI3_savepage {} def

% color operands
/_gf null def
/_cf 4 array def
/_if null def
/_of false def
/_fc {} def
/_gs null def
/_cs 4 array def
/_is null def
/_os false def
/_sc {} def
/_i null def
Adobe_IllustratorA_AI3 begin
Adobe_IllustratorA_AI3
	{
	dup xcheck
		{
		bind
		} if
	pop pop
	} forall
end
end
Adobe_IllustratorA_AI3 begin
Adobe_IllustratorA_AI3_vars begin
newpath
} def
/terminate				% - terminate -
{
end
end
} def
% definition operators
/_					% - _ null
null def
/ddef				% key value ddef -
{
Adobe_IllustratorA_AI3_vars 3 1 roll put
} def
/xput				% key value literal xput -
{
dup load dup length exch maxlength eq
	{
	dup dup load dup
	length 2 mul dict copy def
	} if
load begin def end
} def
/npop				% integer npop -
{
	{
	pop
	} repeat
} def
% marking operators
/sw					% ax ay string sw x y
{
dup length exch stringwidth
exch 5 -1 roll 3 index 1 sub mul add
4 1 roll 3 1 roll 1 sub mul add
} def
/swj				% cx cy fillchar ax ay string swj x y
{
dup 4 1 roll
dup length exch stringwidth
exch 5 -1 roll 3 index 1 sub mul add
4 1 roll 3 1 roll 1 sub mul add
6 2 roll /_cnt 0 ddef
{1 index eq {/_cnt _cnt 1 add ddef} if} forall pop
exch _cnt mul exch _cnt mul 2 index add 4 1 roll 2 index add 4 1 roll pop pop
} def
/ss					% ax ay string matrix ss -
{
4 1 roll
	{				% matrix ax ay char 0 0 {proc} -
	2 npop
	(0) exch 2 copy 0 exch put pop
	gsave
	false charpath currentpoint
	4 index setmatrix
	stroke
	grestore
	moveto
	2 copy rmoveto
	} exch cshow
3 npop
} def
/jss				% cx cy fillchar ax ay string matrix jss -
{
4 1 roll
	{				% cx cy fillchar matrix ax ay char 0 0 {proc} -
	2 npop
	(0) exch 2 copy 0 exch put
	gsave
	_sp eq
		{
		exch 6 index 6 index 6 index 5 -1 roll widthshow
		currentpoint
		}
		{
		false charpath currentpoint
		4 index setmatrix stroke
		}ifelse
	grestore
	moveto
	2 copy rmoveto
	} exch cshow
6 npop
} def

% path operators
/sp					% ax ay string sp -
{
	{
	2 npop (0) exch
	2 copy 0 exch put pop
	false charpath
	2 copy rmoveto
	} exch cshow
2 npop
} def
/jsp					% cx cy fillchar ax ay string jsp -
{
	{					% cx cy fillchar ax ay char 0 0 {proc} -
	2 npop
	(0) exch 2 copy 0 exch put
	_sp eq
		{
		exch 5 index 5 index 5 index 5 -1 roll widthshow
		}
		{
		false charpath
		}ifelse
	2 copy rmoveto
	} exch cshow
5 npop
} def

% path construction operators
/pl				% x y pl x y
{
transform
0.25 sub round 0.25 add exch
0.25 sub round 0.25 add exch
itransform
} def
/setstrokeadjust where
	{
	pop true setstrokeadjust
	/c				% x1 y1 x2 y2 x3 y3 c -
	{
	curveto
	} def
	/C
	/c load def
	/v				% x2 y2 x3 y3 v -
	{
	currentpoint 6 2 roll curveto
	} def
	/V
	/v load def
	/y				% x1 y1 x2 y2 y -
	{
	2 copy curveto
	} def
	/Y
	/y load def
	/l				% x y l -
	{
	lineto
	} def
	/L
	/l load def
	/m				% x y m -
	{
	moveto
	} def
	}
	{%else
	/c
	{
	pl curveto
	} def
	/C
	/c load def
	/v
	{
	currentpoint 6 2 roll pl curveto
	} def
	/V
	/v load def
	/y
	{
	pl 2 copy curveto
	} def
	/Y
	/y load def
	/l
	{
	pl lineto
	} def
	/L
	/l load def
	/m
	{
	pl moveto
	} def
	}ifelse

% graphic state operators
/d					% array phase d -
{
setdash
} def
/cf	{} def			% - cf flatness
/i					% flatness i -
{
dup 0 eq
	{
	pop cf
	} if
setflat
} def
/j					% linejoin j -
{
setlinejoin
} def
/J					% linecap J -
{
setlinecap
} def
/M					% miterlimit M -
{
setmiterlimit
} def
/w					% linewidth w -
{
setlinewidth
} def

% path painting operators
/H					% - H -
{} def
/h					% - h -
{
closepath
} def
/N					% - N -
{
_pola 0 eq
	{
	_doClip 1 eq {clip /_doClip 0 ddef} if
	newpath
	}
	{
	/CRender {N} ddef
	}ifelse
} def
/n					% - n -
{N} def
/F					% - F -
{
_pola 0 eq
	{
	_doClip 1 eq
		{
		gsave _pf grestore clip newpath /_lp /none ddef _fc
		/_doClip 0 ddef
		}
		{
		_pf
		}ifelse
	}
	{
	/CRender {F} ddef
	}ifelse
} def
/f					% - f -
{
closepath
F
} def
/S					% - S -
{
_pola 0 eq
	{
	_doClip 1 eq
		{
		gsave _ps grestore clip newpath /_lp /none ddef _sc
		/_doClip 0 ddef
		}
		{
		_ps
		}ifelse
	}
	{
	/CRender {S} ddef
	}ifelse
} def
/s					% - s -
{
closepath
S
} def
/B					% - B -
{
_pola 0 eq
	{
	_doClip 1 eq 	% F clears _doClip
	gsave F grestore
		{
		gsave S grestore clip newpath /_lp /none ddef _sc
		/_doClip 0 ddef
		}
		{
		S
		}ifelse
	}
	{
	/CRender {B} ddef
	}ifelse
} def
/b					% - b -
{
closepath
B
} def
/W					% - W -
{
/_doClip 1 ddef
} def
/*					% - [string] * -
{
count 0 ne
	{
	dup type (stringtype) eq {pop} if
	} if
_pola 0 eq {newpath} if
} def

% group operators
/u					% - u -
{} def
/U					% - U -
{} def
/q					% - q -
{
_pola 0 eq {gsave} if
} def
/Q					% - Q -
{
_pola 0 eq {grestore} if
} def
/*u					% - *u -
{
_pola 1 add /_pola exch ddef
} def
/*U					% - *U -
{
_pola 1 sub /_pola exch ddef
_pola 0 eq {CRender} if
} def
/D					% polarized D -
{pop} def
/*w					% - *w -
{} def
/*W					% - *W -
{} def

% place operators
/`					% matrix llx lly urx ury string ` -
{
/_i save ddef
6 1 roll 4 npop
concat
userdict begin
/showpage {} def
false setoverprint
pop
} def
/~					% - ~ -
{
end
_i restore
} def

% color operators
/O					% flag O -
{
0 ne
/_of exch ddef
/_lp /none ddef
} def
/R					% flag R -
{
0 ne
/_os exch ddef
/_lp /none ddef
} def
/g					% gray g -
{
/_gf exch ddef
/_fc
{
_lp /fill ne
	{
	_of setoverprint
	_gf setgray
	/_lp /fill ddef
	} if
} ddef
/_pf
{
_fc
fill
} ddef
/_psf
{
_fc
ashow
} ddef
/_pjsf
{
_fc
awidthshow
} ddef
/_lp /none ddef
} def
/G					% gray G -
{
/_gs exch ddef
/_sc
{
_lp /stroke ne
	{
	_os setoverprint
	_gs setgray
	/_lp /stroke ddef
	} if
} ddef
/_ps
{
_sc
stroke
} ddef
/_pss
{
_sc
ss
} ddef
/_pjss
{
_sc
jss
} ddef
/_lp /none ddef
} def
/k					% cyan magenta yellow black k -
{
_cf astore pop
/_fc
{
_lp /fill ne
	{
	_of setoverprint
	_cf aload pop setcmykcolor
	/_lp /fill ddef
	} if
} ddef
/_pf
{
_fc
fill
} ddef
/_psf
{
_fc
ashow
} ddef
/_pjsf
{
_fc
awidthshow
} ddef
/_lp /none ddef
} def
/K					% cyan magenta yellow black K -
{
_cs astore pop
/_sc
{
_lp /stroke ne
	{
	_os setoverprint
	_cs aload pop setcmykcolor
	/_lp /stroke ddef
	} if
} ddef
/_ps
{
_sc
stroke
} ddef
/_pss
{
_sc
ss
} ddef
/_pjss
{
_sc
jss
} ddef
/_lp /none ddef
} def
/x					% cyan magenta yellow black name gray x -
{
/_gf exch ddef
findcmykcustomcolor
/_if exch ddef
/_fc
{
_lp /fill ne
	{
	_of setoverprint
	_if _gf 1 exch sub setcustomcolor
	/_lp /fill ddef
	} if
} ddef
/_pf
{
_fc
fill
} ddef
/_psf
{
_fc
ashow
} ddef
/_pjsf
{
_fc
awidthshow
} ddef
/_lp /none ddef
} def
/X					% cyan magenta yellow black name gray X -
{
/_gs exch ddef
findcmykcustomcolor
/_is exch ddef
/_sc
{
_lp /stroke ne
	{
	_os setoverprint
	_is _gs 1 exch sub setcustomcolor
	/_lp /stroke ddef
	} if
} ddef
/_ps
{
_sc
stroke
} ddef
/_pss
{
_sc
ss
} ddef
/_pjss
{
_sc
jss
} ddef
/_lp /none ddef
} def

% locked object operator
/A					% value A -
{
pop
} def

currentdict readonly pop end
setpacking

% annotate page operator
/annotatepage
{
} def
%%EndResource
%AI3-Grid.0 18 18 3 0 0 0 3
%%EndProlog
%%BeginSetup
%%IncludeFont: Helvetica
%%IncludeFont: Symbol
Adobe_cmykcolor /initialize get exec

Adobe_cshow /initialize get exec

Adobe_customcolor /initialize get exec

Adobe_typography_AI3 /initialize get exec


Adobe_IllustratorA_AI3 /initialize get exec

[
129/Agrave/Aacute/Acircumflex/Atilde/Adieresis/Aring/Ccedilla
/Egrave/Eacute/Ecircumflex/Edieresis/Igrave/Iacute/Icircumflex
/Idieresis/Eth/Ntilde/Ograve/Oacute/Ocircumflex/Otilde/Odieresis
/Ugrave/Uacute/Ucircumflex/Udieresis/Yacute/Thorn/mu/multiply
/divide/copyright 176/registered 181/brokenbar 190/logicalnot
192/onesuperior 201/twosuperior 204/threesuperior 209/plusminus
/onequarter/onehalf/threequarters/agrave/aacute/acircumflex
/atilde/adieresis/aring/ccedilla/egrave/eacute/ecircumflex
/edieresis/igrave 226/iacute 228/icircumflex/idieresis/eth/ntilde
236/ograve/oacute/ocircumflex/otilde/odieresis 242/ugrave/uacute
/ucircumflex 246/udieresis/yacute 252/thorn/ydieresis
TE
%AI3_BeginEncoding: _Helvetica Helvetica
[/_Helvetica/Helvetica 0 0 1 TZ
%AI3_EndEncoding
%AI3_BeginEncoding: _Symbol Symbol
[34/universal
36/existential
39/suchthat
42/asteriskmath
45/minus
64/congruent
/Alpha
/Beta
/Chi
/Delta
/Epsilon
/Phi
/Gamma
/Eta
/Iota
/theta1
/Kappa
/Lambda
/Mu
/Nu
/Omicron
/Pi
/Theta
/Rho
/Sigma
/Tau
/Upsilon
/sigma1
/Omega
/Xi
/Psi
/Zeta
92/therefore
94/perpendicular
96/radicalex
/alpha
/beta
/chi
/delta
/epsilon
/phi
/gamma
/eta
/iota
/phi1
/kappa
/lambda
/mu
/nu
/omicron
/pi
/theta
/rho
/sigma
/tau
/upsilon
/omega1
/omega
/xi
/psi
/zeta
126/similar
161/Upsilon1
/minute
/lessequal
165/infinity
167/club
/diamond
/heart
/spade
/arrowboth
/arrowleft
/arrowup
/arrowright
/arrowdown
/degree
/plusminus
/second
/greaterequal
/multiply
/proportional
/partialdiff
184/divide
/notequal
/equivalence
/approxequal
189/arrowvertex
/arrowhorizex
/carriagereturn
/aleph
/Ifraktur
/Rfraktur
/weierstrass
/circlemultiply
/circleplus
/emptyset
/intersection
/union
/propersuperset
/reflexsuperset
/notsubset
/propersubset
/reflexsubset
/element
/notelement
/angle
/gradient
/registerserif
/copyrightserif
/trademarkserif
/product
/radical
/dotmath
/logicalnot
/logicaland
/logicalor
/arrowdblboth
/arrowdblleft
/arrowdblup
/arrowdblright
/arrowdbldown
/lozenge
/angleleft
/registersans
/copyrightsans
/trademarksans
/summation
/parenlefttp
/parenleftex
/parenleftbt
/bracketlefttp
/bracketleftex
/bracketleftbt
/bracelefttp
/braceleftmid
/braceleftbt
/braceex
241/angleright
/integral
/integraltp
/integralex
/integralbt
/parenrighttp
/parenrightex
/parenrightbt
/bracketrighttp
/bracketrightex
/bracketrightbt
/bracerighttp
/bracerightmid
/bracerightbt
/_Symbol/Symbol 0 0 0 TZ
%AI3_EndEncoding
%%EndSetup
userdict /Next_printPackage 80 dict dup begin put
%%NXNextStepVersion: 3.0
%%EndComments

%%BeginProcSet: /usr/lib/NextStep/printPackage.ps 3.0
%!
% NeXT Printing Package
% Version: 3.0
% Copyright: 1988, NeXT, Inc.

/__NXdef{1 index where{pop pop pop}{def}ifelse}bind def
/__NXbdef{1 index where{pop pop pop}{bind def}ifelse}bind def
/UserObjects 10 array __NXdef
/defineuserobject{
	exch dup 1 add dup UserObjects length gt{
		array dup 0 UserObjects putinterval
		/UserObjects exch def
	}{pop}ifelse UserObjects exch 3 -1 roll put
}__NXbdef
/undefineuserobject{UserObjects exch null put}__NXbdef
/execuserobject{UserObjects exch get exec}__NXbdef
/__NXRectPath{4 2 roll moveto 1 index 0 rlineto
0 exch rlineto neg 0 rlineto closepath}__NXbdef
/__NXProcessRectArgs{
	1 index type /arraytype eq{
		exch 0 4 2 index length 1 sub{
			dup 3 add 1 exch{1 index exch get exch}for
			5 1 roll 5 index exec
		}for pop pop
	}{exec}ifelse
}__NXbdef
/rectfill{gsave newpath {__NXRectPath fill} __NXProcessRectArgs
grestore}__NXbdef
/rectclip{newpath {__NXRectPath} __NXProcessRectArgs clip newpath}__NXbdef
/rectstroke{
	gsave newpath dup type /arraytype eq{dup length 6 eq}{false}ifelse{
		{gsave __NXRectPath null concat stroke grestore}
		dup length array cvx copy dup 2 4 -1 roll put __NXProcessRectArgs
	}{{__NXRectPath stroke} __NXProcessRectArgs}ifelse grestore
}__NXbdef
/_NXLevel2 systemdict /languagelevel known {languagelevel 2 ge}{false}ifelse
__NXdef
/xyshow{
	0 1 3 index length 1 sub{
		currentpoint 4 index 3 index 1 getinterval show
		3 index 3 index 2 mul 1 add get add exch
		3 index	3 index 2 mul get add exch moveto pop
	}for pop pop
}__NXbdef
/xshow{
	0 1 3 index length 1 sub{
		currentpoint 4 index 3 index 1 getinterval show
		exch 3 index 3 index get add exch moveto pop
	}for pop pop
}__NXbdef
/yshow{
	0 1 3 index length 1 sub{
		currentpoint 4 index 3 index 1 getinterval show
		3 index 3 index get add moveto pop
	}for pop pop
}__NXbdef
/arct{arcto pop pop pop pop}__NXbdef
/setbbox{pop pop pop pop}__NXbdef
/ucache{}__NXbdef
/ucachestatus{mark 0 0 0 0 0}__NXbdef
/setucacheparams{cleartomark}__NXbdef
/uappend{systemdict begin cvx exec end}__NXbdef
/ueofill{gsave newpath uappend eofill grestore}__NXbdef
/ufill{gsave newpath uappend fill grestore}__NXbdef
/ustroke{
	gsave newpath dup length 6 eq
	{exch uappend concat}{uappend}ifelse
	stroke grestore
}__NXbdef
/__NXustrokepathMatrix dup where {pop pop}{matrix def}ifelse
/ustrokepath{
	newpath dup length 6 eq{
		exch uappend __NXustrokepathMatrix currentmatrix exch concat
		strokepath setmatrix
	}{uappend strokepath}ifelse
} __NXbdef
/upath{
	[exch {/ucache cvx}if pathbbox /setbbox cvx
	 {/moveto cvx}{/lineto cvx}{/curveto cvx}{/closepath cvx}pathforall]cvx
} __NXbdef
/setstrokeadjust{pop}__NXbdef
/currentstrokeadjust{false}__NXbdef
/selectfont{exch findfont exch
dup type /arraytype eq {makefont}{scalefont}ifelse setfont}__NXbdef
/_NXCombineArrays{
	counttomark dup 2 add index dup length 3 -1 roll {
		2 index length sub dup 4 1 roll 1 index exch 4 -1 roll putinterval exch
	}repeat pop pop pop
}__NXbdef
/flushgraphics{}def
/setwindowtype{pop pop}def
/currentwindowtype{pop 0}def
/setalpha{pop}def
/currentalpha{1.0}def
/hidecursor{}def
/obscurecursor{}def
/revealcursor{}def
/setcursor{4 {pop}repeat}bind def
/showcursor{}def
/NextStepEncoding where not{
/NextStepEncoding StandardEncoding 256 array copy def
0 [129/Agrave/Aacute/Acircumflex/Atilde/Adieresis/Aring/Ccedilla/Egrave
/Eacute/Ecircumflex/Edieresis/Igrave/Iacute/Icircumflex/Idieresis
/Eth/Ntilde/Ograve/Oacute/Ocircumflex/Otilde/Odieresis/Ugrave/Uacute
/Ucircumflex/Udieresis/Yacute/Thorn/mu/multiply/divide/copyright
176/registered 181/brokenbar 190/logicalnot 192/onesuperior 201/twosuperior
204/threesuperior 209/plusminus/onequarter/onehalf/threequarters/agrave
/aacute/acircumflex/atilde/adieresis/aring/ccedilla/egrave/eacute
/ecircumflex/edieresis/igrave 226/iacute 228/icircumflex/idieresis/eth
/ntilde 236/ograve/oacute/ocircumflex/otilde/odieresis 242/ugrave/uacute
/ucircumflex 246/udieresis/yacute 252/thorn/ydieresis]
{dup type /nametype eq
 {NextStepEncoding 2 index 2 index put pop 1 add}{exch pop}ifelse
}forall pop
/NextStepEncoding NextStepEncoding readonly def
/_NXfstr 128 string dup 0 (_NX) putinterval def
/_NXfindfont /findfont load def
/findfont{
 % Because we can never let NextStepEncoding get into
 % SharedFontDirectory, we cannot reencode a font to NextStepEncoding
 % if we are in shared mode.  So if currentshared is true,
 % we call the normal findfont and return that
 /currentshared where {pop currentshared} {false} ifelse
 {_NXfindfont}
 {dup _NXfstr 3 125 getinterval cvs length 3 add _NXfstr 0 3 -1 roll
  getinterval cvn exch FontDirectory 2 index known
  {pop FontDirectory exch get}
  {_NXfindfont dup /Encoding get StandardEncoding eq
   {	dup length dict exch
	{1 index /FID ne {2 index 3 1 roll put}{pop pop}ifelse}forall
	 dup /Encoding NextStepEncoding put definefont
	}{exch pop} ifelse
   }ifelse
 }ifelse
}bind def
}{pop}ifelse
/_NXImageString {/__NXImageString where{pop}{/__NXImageString 4000 string
__NXdef}ifelse __NXImageString}__NXbdef
/_NXDoImageOp{
	3 dict begin /parr 5 array def 1 index{dup}{1}ifelse /chans exch def
	chans 2 add 2 roll parr 0 chans getinterval astore pop
	5 index 4 index mul 2 index{1 sub 8 idiv 1 add mul}{mul 1 sub 8 idiv 1
add}ifelse
	4 index mul /totbytes exch def pop exch pop
	gsave matrix invertmatrix concat 0.5 setgray 0 0 4 2 roll rectfill grestore
	{0 1 chans 1 sub{parr exch get exec length totbytes exch sub /totbytes exch
def}for totbytes 0 le{exit}if}loop end
}__NXbdef
/alphaimage{1 add _NXDoImageOp}def
_NXLevel2{
	/NXCalibratedRGBColorSpace where{pop}{
		/NXCalibratedRGBColorSpace
		{mark /NXCalibratedRGB /ColorSpace findresource exch pop}stopped
		{cleartomark /NXCalibratedRGB[/CIEBasedABC 2 dict dup begin
		/MatrixLMN[.4124 .2126 .0193 .3576 .7152 .1192 .1805 .0722 .9505]def
		/WhitePoint[.9505 1 1.089] def end] /ColorSpace defineresource}if def}ifelse
	/nxsetrgbcolor{NXCalibratedRGBColorSpace setcolorspace setcolor}__NXbdef
	/nxsetgray{dup dup nxsetrgbcolor}__NXbdef
	/_NXCalibratedImage{exch{array astore dup length true}{false}ifelse
		8 -1 roll{NXCalibratedRGBColorSpace setcolorspace}if
		8 dict dup 9 1 roll begin /ImageType 1 def /MultipleDataSources exch def
		currentcolorspace 0 get /Indexed eq{pop /Decode[0 2 6 index exp 1 sub]def}
		{2 mul dup array /Decode exch def 1 sub 0 1 3 -1 roll{Decode exch dup 2 mod
put}for}ifelse
		/DataSource exch def /ImageMatrix exch def
		/BitsPerComponent exch def /Height exch def /Width exch def end
image}__NXbdef
} {
	/setcmykcolor{
		1.0 exch sub dup dup 6 -1 roll sub dup 0 lt{pop 0}if 5 1 roll
		4 -1 roll sub dup 0 lt{pop 0}if 3 1 roll exch sub dup 0 lt{pop 0}if
setrgbcolor}__NXbdef
	/currentcmykcolor{currentrgbcolor 3{1.0 exch sub 3 1 roll}repeat 0}__NXbdef
	/colorimage{_NXDoImageOp}__NXbdef
	/nxsetrgbcolor{setrgbcolor}__NXbdef /nxsetgray{setgray}__NXbdef
	/setpattern{pop .5 setgray}__NXbdef
	/_NXCalibratedImage{dup 1 eq {pop pop image}{colorimage}ifelse pop}__NXbdef
} ifelse
/_NXSetCMYKOrRGB where{pop}{
	mark{systemdict /currentwindow get exec}stopped
	{{pop pop pop setcmykcolor}}{{nxsetrgbcolor pop pop pop pop}}ifelse
/_NXSetCMYKOrRGB exch def cleartomark
}ifelse
%%EndProcSet

_NXLevel2{/_NXsethsb where{pop}{/_NXsethsb /sethsbcolor load def}ifelse
/sethsbcolor{_NXsethsb currentrgbcolor nxsetrgbcolor}def
/setrgbcolor{nxsetrgbcolor}bind def /setgray{nxsetgray}bind def
}if
gsave
317 246 translate
 /__NXbasematrix matrix currentmatrix def
grestore
%%EndProlog

%%Page: 1 1
%%PageBoundingBox: 0 0 612 792
%%PageFonts: (atend)
%%BeginPageSetup
%%PaperSize: Letter
/__NXsheetsavetoken save def
0 0 translate
gsave
317 246 translate
 /__NXbasematrix matrix currentmatrix def
grestore
gsave
0 0 translate
1 1 scale
%%EndPageSetup
gsave
0 0 612 792 rectclip
/Symbol findfont 1 scalefont [1 0 0 -1 0 0] makefont
63
exch
defineuserobject
63 execuserobject setfont
63 execuserobject setfont
63 execuserobject setfont
63 execuserobject setfont
63 execuserobject setfont
63 execuserobject setfont
/Helvetica findfont 1 scalefont [1 0 0 -1 0 0] makefont
62
exch
defineuserobject
62 execuserobject setfont
62 execuserobject setfont
62 execuserobject setfont
62 execuserobject setfont
62 execuserobject setfont
62 execuserobject setfont
63 execuserobject setfont
62 execuserobject setfont
63 execuserobject setfont
62 execuserobject setfont
62 execuserobject setfont
62 execuserobject setfont
62 execuserobject setfont
62 execuserobject setfont
62 execuserobject setfont
62 execuserobject setfont
62 execuserobject setfont
62 execuserobject setfont
62 execuserobject setfont
62 execuserobject setfont
62 execuserobject setfont
62 execuserobject setfont
63 execuserobject setfont
63 execuserobject setfont
63 execuserobject setfont
63 execuserobject setfont
62 execuserobject setfont
62 execuserobject setfont
0 A
0 R
0 G
0 i 0 J 0 j 0.5 w 4 M []0 d
%AI3_Note:
0 D
57.028 649.0821 m
210.2431 649.0821 l
S
[2 2 2 ]0 d
205.5498 526.0926 m
91.3955 648.9192 l
S
u
[]0 d
181.6993 551.2565 m
189.1782 559.0413 193.1083 567.7244 190.4774 570.6507 c
187.8465 573.5768 179.6506 569.6381 172.1717 561.8534 c
164.6928 554.0686 160.7626 545.3854 163.3936 542.4592 c
166.0245 539.5331 174.2205 543.4717 181.6993 551.2565 c
s
176.9355 556.5549 m
S
U
90.7899 649.245 m
163.2422 542.6221 l
S
0 To
0.8 0 0 0.8608 135.2005 630.6572 0 Tp
TP
0 Tr
0 O
0 g
1 w
/_Symbol 13.9409 Tf
0 Ts
99.9579 Tz
0 Tt
0 TA
0 0 5 TC
100 100 200 TW
0 0 0 Ti
0 Ta
0 Tq
0 0 Tl
0 Tc
0 Tw
(Q) Tx
/_Symbol 10.4556 Tf
(0) Tx
(\r) TX
TO
0 To
0.8 0 0 0.8608 197.2009 549.3637 0 Tp
TP
0 Tr
/_Symbol 13.9409 Tf
(DW=pQ) Tx
(\r) TX
TO
0 R
0 G
0.5 w
92.001 649.0821 m
190.1071 571.2159 l
S
0 To
0.6056 0 0 0.6516 233.2556 557.8582 0 Tp
TP
0 Tr
0 O
0 g
1 w
/_Symbol 10.4556 Tf
(2) Tx
(\r) TX
TO
0 R
0 G
0.5 w
116.2821 622.9172 m
122.3247 629.4091 126.1079 637.8311 126.354 648.1119 c
S
[2 2 2 ]0 d
126.354 648.1119 m
126.3617 648.4343 126.3656 648.7577 126.3656 649.0821 c
S
92.001 649.0821 m
S
0 To
0.8 0 0 0.8608 127.4004 493.4131 0 Tp
TP
0 Tr
0 O
0 g
1 w []0 d
/_Helvetica 13.9409 Tf
99.9593 Tz
(Figure 2a) Tx
(\r) TX
TO
0 To
0.8 0 0 0.8608 218.0009 647.3159 0 Tp
TP
0 Tr
(z) Tx
(\r) TX
TO
0 R
0 G
0.5 w
252.3311 649.7485 m
405.5461 649.7485 l
S
[2 2 2 ]0 d
400.8528 526.7591 m
374.5694 555.0392 l
S
374.5694 555.0392 m
353.9843 577.1881 l
S
[]0 d
353.9843 577.1881 m
343.9782 587.9543 l
S
[2 2 2 ]0 d
343.9782 587.9543 m
324.6012 608.8035 l
S
[]0 d
324.6012 608.8035 m
286.6985 649.5856 l
S
286.0929 649.9114 m
S
287.3041 649.7485 m
S
385.4102 571.8824 m
S
311.5852 623.5836 m
317.6276 630.0754 321.411 638.4977 321.6571 648.7784 c
S
[2 2 2 ]0 d
321.6571 648.7784 m
321.6648 649.1007 321.6686 649.4241 321.6686 649.7485 c
S
287.3041 649.7485 m
S
u
0 O
0.8 g
[]0 d
373.6085 534.8672 m
377.2695 535.824 379.4027 539.793 378.3732 543.7321 c
377.3437 547.6711 373.5412 550.0888 369.8802 549.1319 c
366.2193 548.1751 364.0861 544.206 365.1156 540.267 c
366.1451 536.328 369.9476 533.9103 373.6085 534.8672 c
b
371.7444 541.9995 m
B
U
u
387.3511 549.6364 m
391.2547 548.6746 395.2584 551.2999 396.2933 555.5002 c
397.3282 559.7004 395.0026 563.8852 391.0989 564.847 c
387.1952 565.8089 383.1915 563.1836 382.1566 558.9834 c
381.1216 554.7831 383.4474 550.5983 387.3511 549.6364 c
b
389.225 557.2418 m
B
U
0 To
0.8 0 0 0.8608 351.4006 594.6511 0 Tp
TP
0 Tr
0 g
1 w
99.9579 Tz
(D\() Tx
/_Symbol 13.9409 Tf
(Q) Tx
/_Symbol 10.4556 Tf
(0) Tx
/_Symbol 13.9409 Tf
(/Q) Tx
/_Helvetica 13.9409 Tf
(,E/k\)) Tx
(\r) TX
TO
0 To
0.8 0 0 0.8608 350.9009 531.2289 0 Tp
TP
0 Tr
99.9593 Tz
(N) Tx
/_Helvetica 9.2937 Tf
99.9598 Tz
(2) Tx
(\r) TX
TO
0 To
0.8 0 0 0.8608 399.7507 562.3352 0 Tp
TP
0 Tr
/_Helvetica 13.9409 Tf
99.9579 Tz
(N) Tx
/_Helvetica 9.2937 Tf
99.9593 Tz
(1) Tx
(\r) TX
TO
0 R
0 G
0.5 w
368.7204 548.5158 m
355.2819 575.9839 l
S
355.2819 575.9839 m
382.8116 561.1476 l
S
0 To
0.8 0 0 0.8608 330.4598 494.2876 0 Tp
TP
0 Tr
0 O
0 g
1 w
/_Helvetica 13.9409 Tf
(Figure 2b) Tx
(\r) TX
TO
0 To
0.8 0 0 0.8608 412.6009 648.4625 0 Tp
TP
0 Tr
(q) Tx
(\r) TX
TO
0 To
0.8 0 0 0.8608 306.0003 604.5628 0 Tp
TP
0 Tr
(E) Tx
(\r) TX
TO
0 To
0.6056 0 0 0.6516 341.7306 575.988 0 Tp
TP
0 Tr
/_Helvetica 18.4163 Tf
99.9546 Tz
(k) Tx
(\r) TX
TO
0 To
0.8 0 0 0.8608 323.2794 628.1981 0 Tp
TP
0 Tr
/_Symbol 13.9409 Tf
99.9579 Tz
(Q) Tx
/_Symbol 10.4556 Tf
(0) Tx
(\r) TX
TO
u
0.8 g
0 R
0 G
0.5 w
333.75 587.9363 m
339.9983 587.9363 345.0637 593.0017 345.0637 599.25 c
345.0637 605.4983 339.9983 610.5637 333.75 610.5637 c
327.5017 610.5637 322.4363 605.4983 322.4363 599.25 c
322.4363 593.0017 327.5017 587.9363 333.75 587.9363 c
(b) *
333.75 599.25 m
(B) *
U
374.7234 535.0871 m
378.8297 525.3077 l
B
395.8344 553.6495 m
405.9169 548.5904 l
B
u
0.5 g
333.5 586.9059 m
340.0412 586.9059 345.344 592.2088 345.344 598.75 c
345.344 605.2912 340.0412 610.594 333.5 610.594 c
326.9588 610.594 321.656 605.2912 321.656 598.75 c
321.656 592.2088 326.9588 586.9059 333.5 586.9059 c
b
333.5 598.75 m
B
U
363.6448 561.4564 m
366.0597 562.8496 368.0948 564.8277 369.5565 567.1972 c
S
355.2819 575.9839 m
S
0 To
1 0 0 1 367.75 554.25 0 Tp
TP
0 Tr
0 O
0 g
1 w
/_Symbol 12.0002 Tf
92.8991 Tz
(Q) Tx
(\r) TX
TO
0 To
1 0 0 1 374.75 551.75 0 Tp
TP
0 Tr
/_Helvetica 6 Tf
100 Tz
(12) Tx
(\r) TX
TO
annotatepage
grestore
grestore
showpage
__NXsheetsavetoken restore
%%PageTrailer
%%DocumentFonts: Symbol
%%+ Helvetica
end %Next_printPackage
%%Trailer
Adobe_IllustratorA_AI3 /terminate get exec

Adobe_typography_AI3 /terminate get exec


Adobe_customcolor /terminate get exec

Adobe_cshow /terminate get exec

Adobe_cmykcolor /terminate get exec

Adobe_packedarray /terminate get exec

%%EOF

%%%%%%%%%%%%%%%%%%%%%
% Postscript file: fig3.ps
%!PS-Adobe-2.0
%%Title: Fig3bis.ai    __    /Net/ecu/users/meunier/Edition/Pesch
%%Creator: Adobe_Illustrator
%%CreationDate: Thu Jan 28 17:19:31 1993
%%For: meunier
%%DocumentFonts: (atend)
%%Pages: 1 1
%%DocumentPaperSizes: Letter
%%Orientation: Portrait
%!PS-Adobe-3.0 EPSF-3.0
%%Creator: Adobe Illustrator(TM) 3.0.1.
%%For: () ()
%%CreationDate: (1/28/93) (17:19)
%%BoundingBox: 27 514 580 723
%%DocumentProcessColors: Black
%%DocumentFonts: Courier
%%+ Helvetica
%%+ ZapfChancery-MediumItalic
%%DocumentSuppliedResources: procset Adobe_packedarray 2.0 0
%%+ procset Adobe_cmykcolor 1.1 0
%%+ procset Adobe_cshow 1.1 0
%%+ procset Adobe_customcolor 1.0 0
%%+ procset Adobe_typography_AI3 1.0 1
%%+ procset Adobe_IllustratorA_AI3 1.0 1
%AI3_ColorUsage: Black&White
%AI3_TemplateBox: 306 396 306 396
%AI3_TileBox: 30 31 582 761
%AI3_DocumentPreview: Header
%%Template:
%%PageOrigin:30 31
%%AI3_PaperRect:0 792 612 0
%%AI3_Margin:30 31 30 31
%%EndComments
%%BeginProlog
%%BeginResource: procset Adobe_packedarray 2.0 0
%%Title: (Packed Array Operators)
%%Version: 2.0
%%CreationDate: (8/2/90) ()
%%Copyright: ((C) 1987-1990 Adobe Systems Incorporated All Rights Reserved)

userdict /Adobe_packedarray 5 dict dup begin put
/initialize			% - initialize -
{
/packedarray where
	{
	pop
	}
	{
	Adobe_packedarray begin
	Adobe_packedarray
		{
		dup xcheck
			{
			bind
			} if
		userdict 3 1 roll put
		} forall
	end
	} ifelse
} def
/terminate			% - terminate -
{
} def
/packedarray		% arguments count packedarray array
{
array astore readonly
} def
/setpacking			% boolean setpacking -
{
pop
} def
/currentpacking		% - setpacking boolean
{
false
} def
currentdict readonly pop end
%%EndResource
Adobe_packedarray /initialize get exec

%%BeginResource: procset Adobe_cmykcolor 1.1 0
%%Title: (CMYK Color Operators)
%%Version: 1.1
%%CreationDate: (1/23/89) ()
%%Copyright: ((C) 1987-1990 Adobe Systems Incorporated All Rights Reserved)

currentpacking true setpacking
userdict /Adobe_cmykcolor 4 dict dup begin put
/initialize			% - initialize -
{
/setcmykcolor where
	{
	pop
	}
	{
	userdict /Adobe_cmykcolor_vars 2 dict dup begin put
	/_setrgbcolor
		/setrgbcolor load def
	/_currentrgbcolor
		/currentrgbcolor load def
	Adobe_cmykcolor begin
	Adobe_cmykcolor
		{
		dup xcheck
			{
			bind
			} if
		pop pop
		} forall
	end
	end
	Adobe_cmykcolor begin
	} ifelse
} def
/terminate			% - terminate -
{
currentdict Adobe_cmykcolor eq
	{
	end
	} if
} def
/setcmykcolor		% cyan magenta yellow black setcmykcolor -
{
1 sub 4 1 roll
3
	{
	3 index add neg dup 0 lt
		{
		pop 0
		} if
	3 1 roll
	} repeat
Adobe_cmykcolor_vars /_setrgbcolor get exec
pop
} def
/currentcmykcolor	% - currentcmykcolor cyan magenta yellow black
{
Adobe_cmykcolor_vars /_currentrgbcolor get exec
3
	{
	1 sub neg 3 1 roll
	} repeat
0
} def
currentdict readonly pop end
setpacking

%%EndResource
%%BeginResource: procset Adobe_cshow 1.1 0
%%Title: (cshow Operator)
%%Version: 1.1
%%CreationDate: (1/23/89) ()
%%Copyright: ((C) 1987-1990 Adobe Systems Incorporated All Rights Reserved)

currentpacking true setpacking
userdict /Adobe_cshow 3 dict dup begin put
/initialize			% - initialize -
{
/cshow where
	{
	pop
	}
	{
	userdict /Adobe_cshow_vars 1 dict dup begin put
	/_cshow		% - _cshow proc
		{} def
	Adobe_cshow begin
	Adobe_cshow
		{
		dup xcheck
			{
			bind
			} if
		userdict 3 1 roll put
		} forall
	end
	end
	} ifelse
} def
/terminate			% - terminate -
{
} def
/cshow				% proc string cshow -
{
exch
Adobe_cshow_vars
	exch /_cshow
	exch put
	{
	0 0 Adobe_cshow_vars /_cshow get exec
	} forall
} def
currentdict readonly pop end
setpacking

%%EndResource
%%BeginResource: procset Adobe_customcolor 1.0 0
%%Title: (Custom Color Operators)
%%Version: 1.0
%%CreationDate: (5/9/88) ()
%%Copyright: ((C) 1987-1990 Adobe Systems Incorporated All Rights Reserved)

currentpacking true setpacking
userdict /Adobe_customcolor 5 dict dup begin put
/initialize			% - initialize -
{
/setcustomcolor where
	{
	pop
	}
	{
	Adobe_customcolor begin
	Adobe_customcolor
		{
		dup xcheck
			{
			bind
			} if
		pop pop
		} forall
	end
	Adobe_customcolor begin
	} ifelse
} def
/terminate			% - terminate -
{
currentdict Adobe_customcolor eq
	{
	end
	} if
} def
/findcmykcustomcolor	% cyan magenta yellow black name findcmykcustomcolor
%%object
{
5 packedarray
}  def
/setcustomcolor		% object tint setcustomcolor -
{
exch
aload pop pop
4
	{
	4 index mul 4 1 roll
	} repeat
5 -1 roll pop
setcmykcolor
} def
/setoverprint		% boolean setoverprint -
{
pop
} def
currentdict readonly pop end
setpacking

%%EndResource
%%BeginResource: procset Adobe_typography_AI3 1.0 1
%%Title: (Typography Operators)
%%Version: 1.0
%%CreationDate:(5/31/90) ()
%%Copyright: ((C) 1987-1990 Adobe Systems Incorporated All Rights Reserved)

currentpacking true setpacking
userdict /Adobe_typography_AI3 47 dict dup begin put
/initialize			% - initialize -
{
/TZ
 where
	{
	pop
	}
	{
	Adobe_typography_AI3 begin
	Adobe_typography_AI3
		{
		dup xcheck
			{
			bind
			} if
		pop pop
		} forall
	end
	Adobe_typography_AI3 begin
	} ifelse
} def
/terminate			% - terminate -
{
currentdict Adobe_typography_AI3 eq
	{
	end
	} if
} def

% [ number value stream [ array for encoding modification ] modifyEncoding ==>
%%[ modified array ]
/modifyEncoding
{
	/_tempEncode exch ddef

	% pointer for sequential encodings
	/_pntr 0 ddef

	{
		% get bottom object
		counttomark -1 roll

		% is it a mark ?
		dup type dup /marktype eq
		{
			% exit
			pop pop exit
		}
		{
			% ... object ... type ....

			% insert if a nametype
			/nametype eq
			{
				% insert the name at _pntr and increment pointer
				_tempEncode /_pntr dup load dup 3 1 roll 1 add ddef 3 -1 roll
				put
			}
			{
				% reset _pntr if it's a number
				/_pntr exch ddef
			}
			ifelse
		}
		ifelse
	}
	loop

	% return the modified encoding
	_tempEncode
}
def

/TE	% Set std platform encoding 	% (encoding pairs) TE -
{
	StandardEncoding 256 array copy modifyEncoding
	/_nativeEncoding exch def
} def

% re-define font
% expected arguments
% for 'normal fonts :
%	[ /_Helvetica-Bold/Helvetica-Bold direction fontScript defaultEncoding TZ
%
% for cartographic, pictographic, and expert fonts :
% 	[ ... number value stream ... /_Helvetica-Bold/Helvetica-Bold
%	direction fontScript defaultEncoding TZ
/TZ
{
	% platform dependent coding flag
	/_useNativeEncoding exch def

	% pop fontScript & direction
	pop pop

	% create a new dictionary with length
	% equal to original dictionary length + 2
	% copy all the key/value pairs except FID
	findfont dup length 2 add dict

	begin

		% copy all the values but the FID
		% into the new dictionary
		mark exch
		{
			1 index /FID ne { def } if cleartomark mark
		}
		forall
		% discard last mark
		pop

		% define FontName
		/FontName exch def

		% if no re-encoding stream is present
		% then if the use platform encoding flag is true
		% install AI platform encoding
		% else leave the base encoding in effect

		counttomark 0 eq
		{
			1 _useNativeEncoding eq
			{
				/Encoding _nativeEncoding def
			}
			if
			% clean up
			cleartomark
		}
		{
			% custom encoding to be done
			% start off with a copy of the font's standard encoding
			/Encoding load 256 array copy
			modifyEncoding /Encoding exch def
		}
		ifelse
		FontName currentdict
	end

	% register the new font
	definefont pop
}
def

% text painting operators
/tr					% string tr ax ay string
{
_ax _ay 3 2 roll
} def
/trj				% string trj cx cy fillchar ax ay string
{
_cx _cy _sp _ax _ay 6 5 roll
} def

/a0
{
/Tx	% text							% textString Tx -
	{
	dup
	currentpoint 3 2 roll
	tr _psf
	newpath moveto
	tr _ctm _pss
	} ddef
/Tj	% justified text				% textString Tj -
	{
	dup
	currentpoint 3 2 roll
	trj _pjsf
	newpath moveto
	trj _ctm _pjss
	} ddef

} def
/a1
{
/Tx	% text							% textString Tx -
	{
	dup currentpoint 4 2 roll gsave
	dup currentpoint 3 2 roll
	tr _psf
	newpath moveto
	tr _ctm _pss
	grestore 3 1 roll moveto tr sp
	} ddef
/Tj	% justified text				% textString Tj -
	{
	dup currentpoint 4 2 roll gsave
	dup currentpoint 3 2 roll
	trj _pjsf
	newpath moveto
	trj _ctm _pjss
	grestore 3 1 roll moveto tr sp
	} ddef

} def

/e0
{
/Tx	% text							% textString Tx -
	{
	tr _psf
	} ddef
/Tj	% justified text				% textString Tj -
	{
	trj _pjsf
	} ddef
} def

/e1
{
/Tx	% text							% textString Tx -
	{
	dup currentpoint 4 2 roll gsave
	tr _psf
	grestore 3 1 roll moveto tr sp
	} ddef
/Tj	% justified text				% textString Tj -
	{
	dup currentpoint 4 2 roll gsave
	trj _pjsf
	grestore 3 1 roll moveto tr sp
	} ddef
} def

/i0
{
/Tx	% text							% textString Tx -
	{
	tr sp
	} ddef
/Tj	% justified text				% textString Tj -
	{
	trj jsp
	} ddef
} def

/i1
{
W N
} def

/o0
{
/Tx	% text							% textString Tx -
	{
	tr sw rmoveto
	} ddef
/Tj	% justified text				% textString Tj -
	{
	trj swj rmoveto
	} ddef
} def

/r0
{
/Tx	% text							% textString Tx -
	{
	tr _ctm _pss
	} ddef
/Tj	% justified text				% textString Tj -
	{
	trj _ctm _pjss
	} ddef
} def

/r1
{
/Tx	% text							% textString Tx -
	{
	dup currentpoint 4 2 roll currentpoint gsave newpath moveto
	tr _ctm _pss
	grestore 3 1 roll moveto tr sp
	} ddef
/Tj	% justified text				% textString Tj -
	{
	dup currentpoint 4 2 roll currentpoint gsave newpath moveto
	trj _ctm _pjss
	grestore 3 1 roll moveto tr sp
	} ddef
} def

% font operators

% Binding
/To	% begin text 					% bindType To -
{
	pop _ctm currentmatrix pop
} def

/TO	% end text					% TO -
{
	Te _ctm setmatrix newpath
} def

% Text paths
/Tp	% begin text path				% a b c d tx ty startPt Tp -
{
	pop _tm astore pop _ctm setmatrix
	_tDict begin /W {} def /h {} def
} def

/TP	% end text path					% TP -
{
	end
	iTm 0 0 moveto
} def

% Render mode & matrix operators
/Tr	% begin render					% render Tr -
{
	_render 3 le {currentpoint newpath moveto} if
	dup 8 eq {pop 0} {dup 9 eq {pop 1} if} ifelse
	dup /_render exch ddef
	_renderStart exch get load exec
} def

/iTm % internal set text matrix		% - iTm -	(uses _tm as implicit argument)
{
_ctm setmatrix _tm concat 0 _rise translate _hs 1 scale
} def

/Tm % set text matrix				% a b c d tx ty Tm -
{
_tm astore pop iTm 0 0 moveto
} def

/Td % translate text matrix 		% tx ty Td -
{
_mtx translate _tm _tm concatmatrix pop iTm 0 0 moveto
} def

/Te	% end render					% - Te -
{
	_render -1 eq {} {_renderEnd _render get dup null ne {load exec} {pop} ifelse}
ifelse
	/_render -1 ddef
} def


% Attributes
/Ta	% set alignment					% alignment Ta -
{
pop
} def

/Tf	% set font name and size		% fontname size Tf -
{
dup 1000 div /_fScl exch ddef
exch findfont exch scalefont setfont
} def

/Tl	% set leading					% leading paragraphLeading Tl -
{
pop
0 exch _leading astore pop
} def

/Tt	% set user tracking				% userTracking Tt -
{
pop
} def

/TW % set word spacing				% minSpace optSpace maxSpace TW -
{
3 npop
} def

/Tw	% set computed word spacing		% wordSpace Tw
{
/_cx exch ddef
} def

/TC % set character spacing			% minSpace optSpace maxSpace TC -
{
3 npop
} def

/Tc	% set computed char spacing 	% charSpace Tc -
{
/_ax exch ddef
} def

/Ts % set super/subscripting (rise)	% rise Ts -
{
/_rise exch ddef
currentpoint
iTm
moveto
} def

/Ti	% set indentation				% firstStartIndent otherStartIndent stopIndent Ti -
{
3 npop
} def

/Tz % set horizontal scaling		% scalePercent Tz -
{
100 div /_hs exch ddef
iTm
} def

/TA % set pairwise kerning			% autoKern TA -
									%	autoKern = 0 -> no pair kerning
									%			 = 1 -> automatic pair kerning
{
pop
} def

/Tq % set hanging quotes			% hangingQuotes Tq -
									%	hangingQuotes 	= 0 -> no hanging quotes
									%			 		= 1 -> hanging quotes
{
pop
} def


% Text Bodies
/TX {pop} def

%/Tx	% non-justified text			% textString Tx -
%/Tj	% justified text				% textString Tj -

/Tk	% kern							% autoKern kernValue Tk -
									%  	autoKern = 0 -> manual kern, = 1 -> auto kern
									%	kernValue = kern value in em/1000 space
{
exch pop _fScl mul neg 0 rmoveto
} def
/TK	% non-printing kern				% autoKern kernValue TK -
{
2 npop
} def

/T* % carriage return & line feed	% - T* -
{
_leading aload pop neg Td
} def

/T*- % carriage return & negative line feed	% - T*- -
{
_leading aload pop Td
} def

/T-	% print a discretionary hyphen	% - T- -
{
_hyphen Tx
} def

/T+	% discretionary hyphen hyphen	% - T+ -
{} def

/TR	% reset pattern matrix 			% a b c d tx ty TR -
{
_ctm currentmatrix pop
_tm astore pop
iTm 0 0 moveto
} def

/TS	% special chars					% textString justified TS -
{
0 eq {Tx} {Tj} ifelse
} def

currentdict readonly pop end
setpacking

%%EndResource

%%BeginResource: procset Adobe_IllustratorA_AI3 1.0 1
%%Title: (Adobe Illustrator (R) Version 3.0 Abbreviated Prolog)
%%Version: 1.0
%%CreationDate: (7/22/89) ()
%%Copyright: ((C) 1987-1990 Adobe Systems Incorporated All Rights Reserved)

currentpacking true setpacking
userdict /Adobe_IllustratorA_AI3 61 dict dup begin put
% initialization
/initialize				% - initialize -
{
% 47 vars, but leave slack of 10 entries for custom Postscript fragments
userdict /Adobe_IllustratorA_AI3_vars 57 dict dup begin put

% paint operands
/_lp /none def
/_pf {} def
/_ps {} def
/_psf {} def
/_pss {} def
/_pjsf {} def
/_pjss {} def
/_pola 0 def
/_doClip 0 def

% paint operators
/cf	currentflat def	% - cf flatness

% typography operands
/_tm matrix def
/_renderStart [/e0 /r0 /a0 /o0 /e1 /r1 /a1 /i0] def
/_renderEnd [null null null null /i1 /i1 /i1 /i1] def
/_render -1 def
/_rise 0 def
/_ax 0 def			% x character spacing	(_ax, _ay, _cx, _cy follows awidthshow
%%naming convention)
/_ay 0 def			% y character spacing
/_cx 0 def			% x word spacing
/_cy 0 def			% y word spacing
/_leading [0 0] def
/_ctm matrix def
/_mtx matrix def
/_sp 16#020 def
/_hyphen (-) def
/_fScl 0 def
/_cnt 0 def
/_hs 1 def
/_nativeEncoding 0 def
/_useNativeEncoding 0 def
/_tempEncode 0 def
/_pntr 0 def
/_tDict 2 dict def

% typography operators
/Tx {} def
/Tj {} def

% compound path operators
/CRender {} def

% printing
/_AI3_savepage {} def

% color operands
/_gf null def
/_cf 4 array def
/_if null def
/_of false def
/_fc {} def
/_gs null def
/_cs 4 array def
/_is null def
/_os false def
/_sc {} def
/_i null def
Adobe_IllustratorA_AI3 begin
Adobe_IllustratorA_AI3
	{
	dup xcheck
		{
		bind
		} if
	pop pop
	} forall
end
end
Adobe_IllustratorA_AI3 begin
Adobe_IllustratorA_AI3_vars begin
newpath
} def
/terminate				% - terminate -
{
end
end
} def
% definition operators
/_					% - _ null
null def
/ddef				% key value ddef -
{
Adobe_IllustratorA_AI3_vars 3 1 roll put
} def
/xput				% key value literal xput -
{
dup load dup length exch maxlength eq
	{
	dup dup load dup
	length 2 mul dict copy def
	} if
load begin def end
} def
/npop				% integer npop -
{
	{
	pop
	} repeat
} def
% marking operators
/sw					% ax ay string sw x y
{
dup length exch stringwidth
exch 5 -1 roll 3 index 1 sub mul add
4 1 roll 3 1 roll 1 sub mul add
} def
/swj				% cx cy fillchar ax ay string swj x y
{
dup 4 1 roll
dup length exch stringwidth
exch 5 -1 roll 3 index 1 sub mul add
4 1 roll 3 1 roll 1 sub mul add
6 2 roll /_cnt 0 ddef
{1 index eq {/_cnt _cnt 1 add ddef} if} forall pop
exch _cnt mul exch _cnt mul 2 index add 4 1 roll 2 index add 4 1 roll pop pop
} def
/ss					% ax ay string matrix ss -
{
4 1 roll
	{				% matrix ax ay char 0 0 {proc} -
	2 npop
	(0) exch 2 copy 0 exch put pop
	gsave
	false charpath currentpoint
	4 index setmatrix
	stroke
	grestore
	moveto
	2 copy rmoveto
	} exch cshow
3 npop
} def
/jss				% cx cy fillchar ax ay string matrix jss -
{
4 1 roll
	{				% cx cy fillchar matrix ax ay char 0 0 {proc} -
	2 npop
	(0) exch 2 copy 0 exch put
	gsave
	_sp eq
		{
		exch 6 index 6 index 6 index 5 -1 roll widthshow
		currentpoint
		}
		{
		false charpath currentpoint
		4 index setmatrix stroke
		}ifelse
	grestore
	moveto
	2 copy rmoveto
	} exch cshow
6 npop
} def

% path operators
/sp					% ax ay string sp -
{
	{
	2 npop (0) exch
	2 copy 0 exch put pop
	false charpath
	2 copy rmoveto
	} exch cshow
2 npop
} def
/jsp					% cx cy fillchar ax ay string jsp -
{
	{					% cx cy fillchar ax ay char 0 0 {proc} -
	2 npop
	(0) exch 2 copy 0 exch put
	_sp eq
		{
		exch 5 index 5 index 5 index 5 -1 roll widthshow
		}
		{
		false charpath
		}ifelse
	2 copy rmoveto
	} exch cshow
5 npop
} def

% path construction operators
/pl				% x y pl x y
{
transform
0.25 sub round 0.25 add exch
0.25 sub round 0.25 add exch
itransform
} def
/setstrokeadjust where
	{
	pop true setstrokeadjust
	/c				% x1 y1 x2 y2 x3 y3 c -
	{
	curveto
	} def
	/C
	/c load def
	/v				% x2 y2 x3 y3 v -
	{
	currentpoint 6 2 roll curveto
	} def
	/V
	/v load def
	/y				% x1 y1 x2 y2 y -
	{
	2 copy curveto
	} def
	/Y
	/y load def
	/l				% x y l -
	{
	lineto
	} def
	/L
	/l load def
	/m				% x y m -
	{
	moveto
	} def
	}
	{%else
	/c
	{
	pl curveto
	} def
	/C
	/c load def
	/v
	{
	currentpoint 6 2 roll pl curveto
	} def
	/V
	/v load def
	/y
	{
	pl 2 copy curveto
	} def
	/Y
	/y load def
	/l
	{
	pl lineto
	} def
	/L
	/l load def
	/m
	{
	pl moveto
	} def
	}ifelse

% graphic state operators
/d					% array phase d -
{
setdash
} def
/cf	{} def			% - cf flatness
/i					% flatness i -
{
dup 0 eq
	{
	pop cf
	} if
setflat
} def
/j					% linejoin j -
{
setlinejoin
} def
/J					% linecap J -
{
setlinecap
} def
/M					% miterlimit M -
{
setmiterlimit
} def
/w					% linewidth w -
{
setlinewidth
} def

% path painting operators
/H					% - H -
{} def
/h					% - h -
{
closepath
} def
/N					% - N -
{
_pola 0 eq
	{
	_doClip 1 eq {clip /_doClip 0 ddef} if
	newpath
	}
	{
	/CRender {N} ddef
	}ifelse
} def
/n					% - n -
{N} def
/F					% - F -
{
_pola 0 eq
	{
	_doClip 1 eq
		{
		gsave _pf grestore clip newpath /_lp /none ddef _fc
		/_doClip 0 ddef
		}
		{
		_pf
		}ifelse
	}
	{
	/CRender {F} ddef
	}ifelse
} def
/f					% - f -
{
closepath
F
} def
/S					% - S -
{
_pola 0 eq
	{
	_doClip 1 eq
		{
		gsave _ps grestore clip newpath /_lp /none ddef _sc
		/_doClip 0 ddef
		}
		{
		_ps
		}ifelse
	}
	{
	/CRender {S} ddef
	}ifelse
} def
/s					% - s -
{
closepath
S
} def
/B					% - B -
{
_pola 0 eq
	{
	_doClip 1 eq 	% F clears _doClip
	gsave F grestore
		{
		gsave S grestore clip newpath /_lp /none ddef _sc
		/_doClip 0 ddef
		}
		{
		S
		}ifelse
	}
	{
	/CRender {B} ddef
	}ifelse
} def
/b					% - b -
{
closepath
B
} def
/W					% - W -
{
/_doClip 1 ddef
} def
/*					% - [string] * -
{
count 0 ne
	{
	dup type (stringtype) eq {pop} if
	} if
_pola 0 eq {newpath} if
} def

% group operators
/u					% - u -
{} def
/U					% - U -
{} def
/q					% - q -
{
_pola 0 eq {gsave} if
} def
/Q					% - Q -
{
_pola 0 eq {grestore} if
} def
/*u					% - *u -
{
_pola 1 add /_pola exch ddef
} def
/*U					% - *U -
{
_pola 1 sub /_pola exch ddef
_pola 0 eq {CRender} if
} def
/D					% polarized D -
{pop} def
/*w					% - *w -
{} def
/*W					% - *W -
{} def

% place operators
/`					% matrix llx lly urx ury string ` -
{
/_i save ddef
6 1 roll 4 npop
concat
userdict begin
/showpage {} def
false setoverprint
pop
} def
/~					% - ~ -
{
end
_i restore
} def

% color operators
/O					% flag O -
{
0 ne
/_of exch ddef
/_lp /none ddef
} def
/R					% flag R -
{
0 ne
/_os exch ddef
/_lp /none ddef
} def
/g					% gray g -
{
/_gf exch ddef
/_fc
{
_lp /fill ne
	{
	_of setoverprint
	_gf setgray
	/_lp /fill ddef
	} if
} ddef
/_pf
{
_fc
fill
} ddef
/_psf
{
_fc
ashow
} ddef
/_pjsf
{
_fc
awidthshow
} ddef
/_lp /none ddef
} def
/G					% gray G -
{
/_gs exch ddef
/_sc
{
_lp /stroke ne
	{
	_os setoverprint
	_gs setgray
	/_lp /stroke ddef
	} if
} ddef
/_ps
{
_sc
stroke
} ddef
/_pss
{
_sc
ss
} ddef
/_pjss
{
_sc
jss
} ddef
/_lp /none ddef
} def
/k					% cyan magenta yellow black k -
{
_cf astore pop
/_fc
{
_lp /fill ne
	{
	_of setoverprint
	_cf aload pop setcmykcolor
	/_lp /fill ddef
	} if
} ddef
/_pf
{
_fc
fill
} ddef
/_psf
{
_fc
ashow
} ddef
/_pjsf
{
_fc
awidthshow
} ddef
/_lp /none ddef
} def
/K					% cyan magenta yellow black K -
{
_cs astore pop
/_sc
{
_lp /stroke ne
	{
	_os setoverprint
	_cs aload pop setcmykcolor
	/_lp /stroke ddef
	} if
} ddef
/_ps
{
_sc
stroke
} ddef
/_pss
{
_sc
ss
} ddef
/_pjss
{
_sc
jss
} ddef
/_lp /none ddef
} def
/x					% cyan magenta yellow black name gray x -
{
/_gf exch ddef
findcmykcustomcolor
/_if exch ddef
/_fc
{
_lp /fill ne
	{
	_of setoverprint
	_if _gf 1 exch sub setcustomcolor
	/_lp /fill ddef
	} if
} ddef
/_pf
{
_fc
fill
} ddef
/_psf
{
_fc
ashow
} ddef
/_pjsf
{
_fc
awidthshow
} ddef
/_lp /none ddef
} def
/X					% cyan magenta yellow black name gray X -
{
/_gs exch ddef
findcmykcustomcolor
/_is exch ddef
/_sc
{
_lp /stroke ne
	{
	_os setoverprint
	_is _gs 1 exch sub setcustomcolor
	/_lp /stroke ddef
	} if
} ddef
/_ps
{
_sc
stroke
} ddef
/_pss
{
_sc
ss
} ddef
/_pjss
{
_sc
jss
} ddef
/_lp /none ddef
} def

% locked object operator
/A					% value A -
{
pop
} def

currentdict readonly pop end
setpacking

% annotate page operator
/annotatepage
{
} def
%%EndResource
%AI3-Grid.0 18 18 3 0 0 0 3
%%EndProlog
%%BeginSetup
%%IncludeFont: Courier
%%IncludeFont: Helvetica
%%IncludeFont: ZapfChancery-MediumItalic
Adobe_cmykcolor /initialize get exec

Adobe_cshow /initialize get exec

Adobe_customcolor /initialize get exec

Adobe_typography_AI3 /initialize get exec


Adobe_IllustratorA_AI3 /initialize get exec

[
129/Agrave/Aacute/Acircumflex/Atilde/Adieresis/Aring/Ccedilla
/Egrave/Eacute/Ecircumflex/Edieresis/Igrave/Iacute/Icircumflex
/Idieresis/Eth/Ntilde/Ograve/Oacute/Ocircumflex/Otilde/Odieresis
/Ugrave/Uacute/Ucircumflex/Udieresis/Yacute/Thorn/mu/multiply
/divide/copyright 176/registered 181/brokenbar 190/logicalnot
192/onesuperior 201/twosuperior 204/threesuperior 209/plusminus
/onequarter/onehalf/threequarters/agrave/aacute/acircumflex
/atilde/adieresis/aring/ccedilla/egrave/eacute/ecircumflex
/edieresis/igrave 226/iacute 228/icircumflex/idieresis/eth/ntilde
236/ograve/oacute/ocircumflex/otilde/odieresis 242/ugrave/uacute
/ucircumflex 246/udieresis/yacute 252/thorn/ydieresis
TE
%AI3_BeginEncoding: _Courier Courier
[/_Courier/Courier 0 0 1 TZ
%AI3_EndEncoding
%AI3_BeginEncoding: _Helvetica Helvetica
[/_Helvetica/Helvetica 0 0 1 TZ
%AI3_EndEncoding
%AI3_BeginEncoding: _ZapfChancery-MediumItalic ZapfChancery-MediumItalic
[/_ZapfChancery-MediumItalic/ZapfChancery-MediumItalic 0 0 1 TZ
%AI3_EndEncoding
%%EndSetup
userdict /Next_printPackage 80 dict dup begin put
%%NXNextStepVersion: 3.0
%%EndComments

%%BeginProcSet: /usr/lib/NextStep/printPackage.ps 3.0
%!
% NeXT Printing Package
% Version: 3.0
% Copyright: 1988, NeXT, Inc.

/__NXdef{1 index where{pop pop pop}{def}ifelse}bind def
/__NXbdef{1 index where{pop pop pop}{bind def}ifelse}bind def
/UserObjects 10 array __NXdef
/defineuserobject{
	exch dup 1 add dup UserObjects length gt{
		array dup 0 UserObjects putinterval
		/UserObjects exch def
	}{pop}ifelse UserObjects exch 3 -1 roll put
}__NXbdef
/undefineuserobject{UserObjects exch null put}__NXbdef
/execuserobject{UserObjects exch get exec}__NXbdef
/__NXRectPath{4 2 roll moveto 1 index 0 rlineto
0 exch rlineto neg 0 rlineto closepath}__NXbdef
/__NXProcessRectArgs{
	1 index type /arraytype eq{
		exch 0 4 2 index length 1 sub{
			dup 3 add 1 exch{1 index exch get exch}for
			5 1 roll 5 index exec
		}for pop pop
	}{exec}ifelse
}__NXbdef
/rectfill{gsave newpath {__NXRectPath fill} __NXProcessRectArgs
grestore}__NXbdef
/rectclip{newpath {__NXRectPath} __NXProcessRectArgs clip newpath}__NXbdef
/rectstroke{
	gsave newpath dup type /arraytype eq{dup length 6 eq}{false}ifelse{
		{gsave __NXRectPath null concat stroke grestore}
		dup length array cvx copy dup 2 4 -1 roll put __NXProcessRectArgs
	}{{__NXRectPath stroke} __NXProcessRectArgs}ifelse grestore
}__NXbdef
/_NXLevel2 systemdict /languagelevel known {languagelevel 2 ge}{false}ifelse
__NXdef
/xyshow{
	0 1 3 index length 1 sub{
		currentpoint 4 index 3 index 1 getinterval show
		3 index 3 index 2 mul 1 add get add exch
		3 index	3 index 2 mul get add exch moveto pop
	}for pop pop
}__NXbdef
/xshow{
	0 1 3 index length 1 sub{
		currentpoint 4 index 3 index 1 getinterval show
		exch 3 index 3 index get add exch moveto pop
	}for pop pop
}__NXbdef
/yshow{
	0 1 3 index length 1 sub{
		currentpoint 4 index 3 index 1 getinterval show
		3 index 3 index get add moveto pop
	}for pop pop
}__NXbdef
/arct{arcto pop pop pop pop}__NXbdef
/setbbox{pop pop pop pop}__NXbdef
/ucache{}__NXbdef
/ucachestatus{mark 0 0 0 0 0}__NXbdef
/setucacheparams{cleartomark}__NXbdef
/uappend{systemdict begin cvx exec end}__NXbdef
/ueofill{gsave newpath uappend eofill grestore}__NXbdef
/ufill{gsave newpath uappend fill grestore}__NXbdef
/ustroke{
	gsave newpath dup length 6 eq
	{exch uappend concat}{uappend}ifelse
	stroke grestore
}__NXbdef
/__NXustrokepathMatrix dup where {pop pop}{matrix def}ifelse
/ustrokepath{
	newpath dup length 6 eq{
		exch uappend __NXustrokepathMatrix currentmatrix exch concat
		strokepath setmatrix
	}{uappend strokepath}ifelse
} __NXbdef
/upath{
	[exch {/ucache cvx}if pathbbox /setbbox cvx
	 {/moveto cvx}{/lineto cvx}{/curveto cvx}{/closepath cvx}pathforall]cvx
} __NXbdef
/setstrokeadjust{pop}__NXbdef
/currentstrokeadjust{false}__NXbdef
/selectfont{exch findfont exch
dup type /arraytype eq {makefont}{scalefont}ifelse setfont}__NXbdef
/_NXCombineArrays{
	counttomark dup 2 add index dup length 3 -1 roll {
		2 index length sub dup 4 1 roll 1 index exch 4 -1 roll putinterval exch
	}repeat pop pop pop
}__NXbdef
/flushgraphics{}def
/setwindowtype{pop pop}def
/currentwindowtype{pop 0}def
/setalpha{pop}def
/currentalpha{1.0}def
/hidecursor{}def
/obscurecursor{}def
/revealcursor{}def
/setcursor{4 {pop}repeat}bind def
/showcursor{}def
/NextStepEncoding where not{
/NextStepEncoding StandardEncoding 256 array copy def
0 [129/Agrave/Aacute/Acircumflex/Atilde/Adieresis/Aring/Ccedilla/Egrave
/Eacute/Ecircumflex/Edieresis/Igrave/Iacute/Icircumflex/Idieresis
/Eth/Ntilde/Ograve/Oacute/Ocircumflex/Otilde/Odieresis/Ugrave/Uacute
/Ucircumflex/Udieresis/Yacute/Thorn/mu/multiply/divide/copyright
176/registered 181/brokenbar 190/logicalnot 192/onesuperior 201/twosuperior
204/threesuperior 209/plusminus/onequarter/onehalf/threequarters/agrave
/aacute/acircumflex/atilde/adieresis/aring/ccedilla/egrave/eacute
/ecircumflex/edieresis/igrave 226/iacute 228/icircumflex/idieresis/eth
/ntilde 236/ograve/oacute/ocircumflex/otilde/odieresis 242/ugrave/uacute
/ucircumflex 246/udieresis/yacute 252/thorn/ydieresis]
{dup type /nametype eq
 {NextStepEncoding 2 index 2 index put pop 1 add}{exch pop}ifelse
}forall pop
/NextStepEncoding NextStepEncoding readonly def
/_NXfstr 128 string dup 0 (_NX) putinterval def
/_NXfindfont /findfont load def
/findfont{
 % Because we can never let NextStepEncoding get into
 % SharedFontDirectory, we cannot reencode a font to NextStepEncoding
 % if we are in shared mode.  So if currentshared is true,
 % we call the normal findfont and return that
 /currentshared where {pop currentshared} {false} ifelse
 {_NXfindfont}
 {dup _NXfstr 3 125 getinterval cvs length 3 add _NXfstr 0 3 -1 roll
  getinterval cvn exch FontDirectory 2 index known
  {pop FontDirectory exch get}
  {_NXfindfont dup /Encoding get StandardEncoding eq
   {	dup length dict exch
	{1 index /FID ne {2 index 3 1 roll put}{pop pop}ifelse}forall
	 dup /Encoding NextStepEncoding put definefont
	}{exch pop} ifelse
   }ifelse
 }ifelse
}bind def
}{pop}ifelse
/_NXImageString {/__NXImageString where{pop}{/__NXImageString 4000 string
__NXdef}ifelse __NXImageString}__NXbdef
/_NXDoImageOp{
	3 dict begin /parr 5 array def 1 index{dup}{1}ifelse /chans exch def
	chans 2 add 2 roll parr 0 chans getinterval astore pop
	5 index 4 index mul 2 index{1 sub 8 idiv 1 add mul}{mul 1 sub 8 idiv 1
add}ifelse
	4 index mul /totbytes exch def pop exch pop
	gsave matrix invertmatrix concat 0.5 setgray 0 0 4 2 roll rectfill grestore
	{0 1 chans 1 sub{parr exch get exec length totbytes exch sub /totbytes exch
def}for totbytes 0 le{exit}if}loop end
}__NXbdef
/alphaimage{1 add _NXDoImageOp}def
_NXLevel2{
	/NXCalibratedRGBColorSpace where{pop}{
		/NXCalibratedRGBColorSpace
		{mark /NXCalibratedRGB /ColorSpace findresource exch pop}stopped
		{cleartomark /NXCalibratedRGB[/CIEBasedABC 2 dict dup begin
		/MatrixLMN[.4124 .2126 .0193 .3576 .7152 .1192 .1805 .0722 .9505]def
		/WhitePoint[.9505 1 1.089] def end] /ColorSpace defineresource}if def}ifelse
	/nxsetrgbcolor{NXCalibratedRGBColorSpace setcolorspace setcolor}__NXbdef
	/nxsetgray{dup dup nxsetrgbcolor}__NXbdef
	/_NXCalibratedImage{exch{array astore dup length true}{false}ifelse
		8 -1 roll{NXCalibratedRGBColorSpace setcolorspace}if
		8 dict dup 9 1 roll begin /ImageType 1 def /MultipleDataSources exch def
		currentcolorspace 0 get /Indexed eq{pop /Decode[0 2 6 index exp 1 sub]def}
		{2 mul dup array /Decode exch def 1 sub 0 1 3 -1 roll{Decode exch dup 2 mod
put}for}ifelse
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%%Creator: Adobe Illustrator(TM) 3.0.1.
%%For: () ()
%%CreationDate: (1/28/93) (17:19)
%%BoundingBox: 50 538 574 745
%%DocumentProcessColors: Black
%%DocumentFonts: Helvetica
%%+ Helvetica-Oblique
%%+ ZapfChancery-MediumItalic
%%DocumentSuppliedResources: procset Adobe_packedarray 2.0 0
%%+ procset Adobe_cmykcolor 1.1 0
%%+ procset Adobe_cshow 1.1 0
%%+ procset Adobe_customcolor 1.0 0
%%+ procset Adobe_typography_AI3 1.0 1
%%+ procset Adobe_IllustratorA_AI3 1.0 1
%AI3_ColorUsage: Black&White
%AI3_TemplateBox: 306 396 306 396
%AI3_TileBox: 30 31 582 761
%AI3_DocumentPreview: Header
%%Template:
%%PageOrigin:30 31
%%AI3_PaperRect:0 792 612 0
%%AI3_Margin:30 31 30 31
%%EndComments
%%BeginProlog
%%BeginResource: procset Adobe_packedarray 2.0 0
%%Title: (Packed Array Operators)
%%Version: 2.0
%%CreationDate: (8/2/90) ()
%%Copyright: ((C) 1987-1990 Adobe Systems Incorporated All Rights Reserved)

userdict /Adobe_packedarray 5 dict dup begin put
/initialize			% - initialize -
{
/packedarray where
	{
	pop
	}
	{
	Adobe_packedarray begin
	Adobe_packedarray
		{
		dup xcheck
			{
			bind
			} if
		userdict 3 1 roll put
		} forall
	end
	} ifelse
} def
/terminate			% - terminate -
{
} def
/packedarray		% arguments count packedarray array
{
array astore readonly
} def
/setpacking			% boolean setpacking -
{
pop
} def
/currentpacking		% - setpacking boolean
{
false
} def
currentdict readonly pop end
%%EndResource
Adobe_packedarray /initialize get exec

%%BeginResource: procset Adobe_cmykcolor 1.1 0
%%Title: (CMYK Color Operators)
%%Version: 1.1
%%CreationDate: (1/23/89) ()
%%Copyright: ((C) 1987-1990 Adobe Systems Incorporated All Rights Reserved)

currentpacking true setpacking
userdict /Adobe_cmykcolor 4 dict dup begin put
/initialize			% - initialize -
{
/setcmykcolor where
	{
	pop
	}
	{
	userdict /Adobe_cmykcolor_vars 2 dict dup begin put
	/_setrgbcolor
		/setrgbcolor load def
	/_currentrgbcolor
		/currentrgbcolor load def
	Adobe_cmykcolor begin
	Adobe_cmykcolor
		{
		dup xcheck
			{
			bind
			} if
		pop pop
		} forall
	end
	end
	Adobe_cmykcolor begin
	} ifelse
} def
/terminate			% - terminate -
{
currentdict Adobe_cmykcolor eq
	{
	end
	} if
} def
/setcmykcolor		% cyan magenta yellow black setcmykcolor -
{
1 sub 4 1 roll
3
	{
	3 index add neg dup 0 lt
		{
		pop 0
		} if
	3 1 roll
	} repeat
Adobe_cmykcolor_vars /_setrgbcolor get exec
pop
} def
/currentcmykcolor	% - currentcmykcolor cyan magenta yellow black
{
Adobe_cmykcolor_vars /_currentrgbcolor get exec
3
	{
	1 sub neg 3 1 roll
	} repeat
0
} def
currentdict readonly pop end
setpacking

%%EndResource
%%BeginResource: procset Adobe_cshow 1.1 0
%%Title: (cshow Operator)
%%Version: 1.1
%%CreationDate: (1/23/89) ()
%%Copyright: ((C) 1987-1990 Adobe Systems Incorporated All Rights Reserved)

currentpacking true setpacking
userdict /Adobe_cshow 3 dict dup begin put
/initialize			% - initialize -
{
/cshow where
	{
	pop
	}
	{
	userdict /Adobe_cshow_vars 1 dict dup begin put
	/_cshow		% - _cshow proc
		{} def
	Adobe_cshow begin
	Adobe_cshow
		{
		dup xcheck
			{
			bind
			} if
		userdict 3 1 roll put
		} forall
	end
	end
	} ifelse
} def
/terminate			% - terminate -
{
} def
/cshow				% proc string cshow -
{
exch
Adobe_cshow_vars
	exch /_cshow
	exch put
	{
	0 0 Adobe_cshow_vars /_cshow get exec
	} forall
} def
currentdict readonly pop end
setpacking

%%EndResource
%%BeginResource: procset Adobe_customcolor 1.0 0
%%Title: (Custom Color Operators)
%%Version: 1.0
%%CreationDate: (5/9/88) ()
%%Copyright: ((C) 1987-1990 Adobe Systems Incorporated All Rights Reserved)

currentpacking true setpacking
userdict /Adobe_customcolor 5 dict dup begin put
/initialize			% - initialize -
{
/setcustomcolor where
	{
	pop
	}
	{
	Adobe_customcolor begin
	Adobe_customcolor
		{
		dup xcheck
			{
			bind
			} if
		pop pop
		} forall
	end
	Adobe_customcolor begin
	} ifelse
} def
/terminate			% - terminate -
{
currentdict Adobe_customcolor eq
	{
	end
	} if
} def
/findcmykcustomcolor	% cyan magenta yellow black name findcmykcustomcolor
%%object
{
5 packedarray
}  def
/setcustomcolor		% object tint setcustomcolor -
{
exch
aload pop pop
4
	{
	4 index mul 4 1 roll
	} repeat
5 -1 roll pop
setcmykcolor
} def
/setoverprint		% boolean setoverprint -
{
pop
} def
currentdict readonly pop end
setpacking

%%EndResource
%%BeginResource: procset Adobe_typography_AI3 1.0 1
%%Title: (Typography Operators)
%%Version: 1.0
%%CreationDate:(5/31/90) ()
%%Copyright: ((C) 1987-1990 Adobe Systems Incorporated All Rights Reserved)

currentpacking true setpacking
userdict /Adobe_typography_AI3 47 dict dup begin put
/initialize			% - initialize -
{
/TZ
 where
	{
	pop
	}
	{
	Adobe_typography_AI3 begin
	Adobe_typography_AI3
		{
		dup xcheck
			{
			bind
			} if
		pop pop
		} forall
	end
	Adobe_typography_AI3 begin
	} ifelse
} def
/terminate			% - terminate -
{
currentdict Adobe_typography_AI3 eq
	{
	end
	} if
} def

% [ number value stream [ array for encoding modification ] modifyEncoding ==>
%%[ modified array ]
/modifyEncoding
{
	/_tempEncode exch ddef

	% pointer for sequential encodings
	/_pntr 0 ddef

	{
		% get bottom object
		counttomark -1 roll

		% is it a mark ?
		dup type dup /marktype eq
		{
			% exit
			pop pop exit
		}
		{
			% ... object ... type ....

			% insert if a nametype
			/nametype eq
			{
				% insert the name at _pntr and increment pointer
				_tempEncode /_pntr dup load dup 3 1 roll 1 add ddef 3 -1 roll
				put
			}
			{
				% reset _pntr if it's a number
				/_pntr exch ddef
			}
			ifelse
		}
		ifelse
	}
	loop

	% return the modified encoding
	_tempEncode
}
def

/TE	% Set std platform encoding 	% (encoding pairs) TE -
{
	StandardEncoding 256 array copy modifyEncoding
	/_nativeEncoding exch def
} def

% re-define font
% expected arguments
% for 'normal fonts :
%	[ /_Helvetica-Bold/Helvetica-Bold direction fontScript defaultEncoding TZ
%
% for cartographic, pictographic, and expert fonts :
% 	[ ... number value stream ... /_Helvetica-Bold/Helvetica-Bold
%	direction fontScript defaultEncoding TZ
/TZ
{
	% platform dependent coding flag
	/_useNativeEncoding exch def

	% pop fontScript & direction
	pop pop

	% create a new dictionary with length
	% equal to original dictionary length + 2
	% copy all the key/value pairs except FID
	findfont dup length 2 add dict

	begin

		% copy all the values but the FID
		% into the new dictionary
		mark exch
		{
			1 index /FID ne { def } if cleartomark mark
		}
		forall
		% discard last mark
		pop

		% define FontName
		/FontName exch def

		% if no re-encoding stream is present
		% then if the use platform encoding flag is true
		% install AI platform encoding
		% else leave the base encoding in effect

		counttomark 0 eq
		{
			1 _useNativeEncoding eq
			{
				/Encoding _nativeEncoding def
			}
			if
			% clean up
			cleartomark
		}
		{
			% custom encoding to be done
			% start off with a copy of the font's standard encoding
			/Encoding load 256 array copy
			modifyEncoding /Encoding exch def
		}
		ifelse
		FontName currentdict
	end

	% register the new font
	definefont pop
}
def

% text painting operators
/tr					% string tr ax ay string
{
_ax _ay 3 2 roll
} def
/trj				% string trj cx cy fillchar ax ay string
{
_cx _cy _sp _ax _ay 6 5 roll
} def

/a0
{
/Tx	% text							% textString Tx -
	{
	dup
	currentpoint 3 2 roll
	tr _psf
	newpath moveto
	tr _ctm _pss
	} ddef
/Tj	% justified text				% textString Tj -
	{
	dup
	currentpoint 3 2 roll
	trj _pjsf
	newpath moveto
	trj _ctm _pjss
	} ddef

} def
/a1
{
/Tx	% text							% textString Tx -
	{
	dup currentpoint 4 2 roll gsave
	dup currentpoint 3 2 roll
	tr _psf
	newpath moveto
	tr _ctm _pss
	grestore 3 1 roll moveto tr sp
	} ddef
/Tj	% justified text				% textString Tj -
	{
	dup currentpoint 4 2 roll gsave
	dup currentpoint 3 2 roll
	trj _pjsf
	newpath moveto
	trj _ctm _pjss
	grestore 3 1 roll moveto tr sp
	} ddef

} def

/e0
{
/Tx	% text							% textString Tx -
	{
	tr _psf
	} ddef
/Tj	% justified text				% textString Tj -
	{
	trj _pjsf
	} ddef
} def

/e1
{
/Tx	% text							% textString Tx -
	{
	dup currentpoint 4 2 roll gsave
	tr _psf
	grestore 3 1 roll moveto tr sp
	} ddef
/Tj	% justified text				% textString Tj -
	{
	dup currentpoint 4 2 roll gsave
	trj _pjsf
	grestore 3 1 roll moveto tr sp
	} ddef
} def

/i0
{
/Tx	% text							% textString Tx -
	{
	tr sp
	} ddef
/Tj	% justified text				% textString Tj -
	{
	trj jsp
	} ddef
} def

/i1
{
W N
} def

/o0
{
/Tx	% text							% textString Tx -
	{
	tr sw rmoveto
	} ddef
/Tj	% justified text				% textString Tj -
	{
	trj swj rmoveto
	} ddef
} def

/r0
{
/Tx	% text							% textString Tx -
	{
	tr _ctm _pss
	} ddef
/Tj	% justified text				% textString Tj -
	{
	trj _ctm _pjss
	} ddef
} def

/r1
{
/Tx	% text							% textString Tx -
	{
	dup currentpoint 4 2 roll currentpoint gsave newpath moveto
	tr _ctm _pss
	grestore 3 1 roll moveto tr sp
	} ddef
/Tj	% justified text				% textString Tj -
	{
	dup currentpoint 4 2 roll currentpoint gsave newpath moveto
	trj _ctm _pjss
	grestore 3 1 roll moveto tr sp
	} ddef
} def

% font operators

% Binding
/To	% begin text 					% bindType To -
{
	pop _ctm currentmatrix pop
} def

/TO	% end text					% TO -
{
	Te _ctm setmatrix newpath
} def

% Text paths
/Tp	% begin text path				% a b c d tx ty startPt Tp -
{
	pop _tm astore pop _ctm setmatrix
	_tDict begin /W {} def /h {} def
} def

/TP	% end text path					% TP -
{
	end
	iTm 0 0 moveto
} def

% Render mode & matrix operators
/Tr	% begin render					% render Tr -
{
	_render 3 le {currentpoint newpath moveto} if
	dup 8 eq {pop 0} {dup 9 eq {pop 1} if} ifelse
	dup /_render exch ddef
	_renderStart exch get load exec
} def

/iTm % internal set text matrix		% - iTm -	(uses _tm as implicit argument)
{
_ctm setmatrix _tm concat 0 _rise translate _hs 1 scale
} def

/Tm % set text matrix				% a b c d tx ty Tm -
{
_tm astore pop iTm 0 0 moveto
} def

/Td % translate text matrix 		% tx ty Td -
{
_mtx translate _tm _tm concatmatrix pop iTm 0 0 moveto
} def

/Te	% end render					% - Te -
{
	_render -1 eq {} {_renderEnd _render get dup null ne {load exec} {pop} ifelse}
ifelse
	/_render -1 ddef
} def


% Attributes
/Ta	% set alignment					% alignment Ta -
{
pop
} def

/Tf	% set font name and size		% fontname size Tf -
{
dup 1000 div /_fScl exch ddef
exch findfont exch scalefont setfont
} def

/Tl	% set leading					% leading paragraphLeading Tl -
{
pop
0 exch _leading astore pop
} def

/Tt	% set user tracking				% userTracking Tt -
{
pop
} def

/TW % set word spacing				% minSpace optSpace maxSpace TW -
{
3 npop
} def

/Tw	% set computed word spacing		% wordSpace Tw
{
/_cx exch ddef
} def

/TC % set character spacing			% minSpace optSpace maxSpace TC -
{
3 npop
} def

/Tc	% set computed char spacing 	% charSpace Tc -
{
/_ax exch ddef
} def

/Ts % set super/subscripting (rise)	% rise Ts -
{
/_rise exch ddef
currentpoint
iTm
moveto
} def

/Ti	% set indentation				% firstStartIndent otherStartIndent stopIndent Ti -
{
3 npop
} def

/Tz % set horizontal scaling		% scalePercent Tz -
{
100 div /_hs exch ddef
iTm
} def

/TA % set pairwise kerning			% autoKern TA -
									%	autoKern = 0 -> no pair kerning
									%			 = 1 -> automatic pair kerning
{
pop
} def

/Tq % set hanging quotes			% hangingQuotes Tq -
									%	hangingQuotes 	= 0 -> no hanging quotes
									%			 		= 1 -> hanging quotes
{
pop
} def


% Text Bodies
/TX {pop} def

%/Tx	% non-justified text			% textString Tx -
%/Tj	% justified text				% textString Tj -

/Tk	% kern							% autoKern kernValue Tk -
									%  	autoKern = 0 -> manual kern, = 1 -> auto kern
									%	kernValue = kern value in em/1000 space
{
exch pop _fScl mul neg 0 rmoveto
} def
/TK	% non-printing kern				% autoKern kernValue TK -
{
2 npop
} def

/T* % carriage return & line feed	% - T* -
{
_leading aload pop neg Td
} def

/T*- % carriage return & negative line feed	% - T*- -
{
_leading aload pop Td
} def

/T-	% print a discretionary hyphen	% - T- -
{
_hyphen Tx
} def

/T+	% discretionary hyphen hyphen	% - T+ -
{} def

/TR	% reset pattern matrix 			% a b c d tx ty TR -
{
_ctm currentmatrix pop
_tm astore pop
iTm 0 0 moveto
} def

/TS	% special chars					% textString justified TS -
{
0 eq {Tx} {Tj} ifelse
} def

currentdict readonly pop end
setpacking

%%EndResource

%%BeginResource: procset Adobe_IllustratorA_AI3 1.0 1
%%Title: (Adobe Illustrator (R) Version 3.0 Abbreviated Prolog)
%%Version: 1.0
%%CreationDate: (7/22/89) ()
%%Copyright: ((C) 1987-1990 Adobe Systems Incorporated All Rights Reserved)

currentpacking true setpacking
userdict /Adobe_IllustratorA_AI3 61 dict dup begin put
% initialization
/initialize				% - initialize -
{
% 47 vars, but leave slack of 10 entries for custom Postscript fragments
userdict /Adobe_IllustratorA_AI3_vars 57 dict dup begin put

% paint operands
/_lp /none def
/_pf {} def
/_ps {} def
/_psf {} def
/_pss {} def
/_pjsf {} def
/_pjss {} def
/_pola 0 def
/_doClip 0 def

% paint operators
/cf	currentflat def	% - cf flatness

% typography operands
/_tm matrix def
/_renderStart [/e0 /r0 /a0 /o0 /e1 /r1 /a1 /i0] def
/_renderEnd [null null null null /i1 /i1 /i1 /i1] def
/_render -1 def
/_rise 0 def
/_ax 0 def			% x character spacing	(_ax, _ay, _cx, _cy follows awidthshow
%%naming convention)
/_ay 0 def			% y character spacing
/_cx 0 def			% x word spacing
/_cy 0 def			% y word spacing
/_leading [0 0] def
/_ctm matrix def
/_mtx matrix def
/_sp 16#020 def
/_hyphen (-) def
/_fScl 0 def
/_cnt 0 def
/_hs 1 def
/_nativeEncoding 0 def
/_useNativeEncoding 0 def
/_tempEncode 0 def
/_pntr 0 def
/_tDict 2 dict def

% typography operators
/Tx {} def
/Tj {} def

% compound path operators
/CRender {} def

% printing
/_AI3_savepage {} def

% color operands
/_gf null def
/_cf 4 array def
/_if null def
/_of false def
/_fc {} def
/_gs null def
/_cs 4 array def
/_is null def
/_os false def
/_sc {} def
/_i null def
Adobe_IllustratorA_AI3 begin
Adobe_IllustratorA_AI3
	{
	dup xcheck
		{
		bind
		} if
	pop pop
	} forall
end
end
Adobe_IllustratorA_AI3 begin
Adobe_IllustratorA_AI3_vars begin
newpath
} def
/terminate				% - terminate -
{
end
end
} def
% definition operators
/_					% - _ null
null def
/ddef				% key value ddef -
{
Adobe_IllustratorA_AI3_vars 3 1 roll put
} def
/xput				% key value literal xput -
{
dup load dup length exch maxlength eq
	{
	dup dup load dup
	length 2 mul dict copy def
	} if
load begin def end
} def
/npop				% integer npop -
{
	{
	pop
	} repeat
} def
% marking operators
/sw					% ax ay string sw x y
{
dup length exch stringwidth
exch 5 -1 roll 3 index 1 sub mul add
4 1 roll 3 1 roll 1 sub mul add
} def
/swj				% cx cy fillchar ax ay string swj x y
{
dup 4 1 roll
dup length exch stringwidth
exch 5 -1 roll 3 index 1 sub mul add
4 1 roll 3 1 roll 1 sub mul add
6 2 roll /_cnt 0 ddef
{1 index eq {/_cnt _cnt 1 add ddef} if} forall pop
exch _cnt mul exch _cnt mul 2 index add 4 1 roll 2 index add 4 1 roll pop pop
} def
/ss					% ax ay string matrix ss -
{
4 1 roll
	{				% matrix ax ay char 0 0 {proc} -
	2 npop
	(0) exch 2 copy 0 exch put pop
	gsave
	false charpath currentpoint
	4 index setmatrix
	stroke
	grestore
	moveto
	2 copy rmoveto
	} exch cshow
3 npop
} def
/jss				% cx cy fillchar ax ay string matrix jss -
{
4 1 roll
	{				% cx cy fillchar matrix ax ay char 0 0 {proc} -
	2 npop
	(0) exch 2 copy 0 exch put
	gsave
	_sp eq
		{
		exch 6 index 6 index 6 index 5 -1 roll widthshow
		currentpoint
		}
		{
		false charpath currentpoint
		4 index setmatrix stroke
		}ifelse
	grestore
	moveto
	2 copy rmoveto
	} exch cshow
6 npop
} def

% path operators
/sp					% ax ay string sp -
{
	{
	2 npop (0) exch
	2 copy 0 exch put pop
	false charpath
	2 copy rmoveto
	} exch cshow
2 npop
} def
/jsp					% cx cy fillchar ax ay string jsp -
{
	{					% cx cy fillchar ax ay char 0 0 {proc} -
	2 npop
	(0) exch 2 copy 0 exch put
	_sp eq
		{
		exch 5 index 5 index 5 index 5 -1 roll widthshow
		}
		{
		false charpath
		}ifelse
	2 copy rmoveto
	} exch cshow
5 npop
} def

% path construction operators
/pl				% x y pl x y
{
transform
0.25 sub round 0.25 add exch
0.25 sub round 0.25 add exch
itransform
} def
/setstrokeadjust where
	{
	pop true setstrokeadjust
	/c				% x1 y1 x2 y2 x3 y3 c -
	{
	curveto
	} def
	/C
	/c load def
	/v				% x2 y2 x3 y3 v -
	{
	currentpoint 6 2 roll curveto
	} def
	/V
	/v load def
	/y				% x1 y1 x2 y2 y -
	{
	2 copy curveto
	} def
	/Y
	/y load def
	/l				% x y l -
	{
	lineto
	} def
	/L
	/l load def
	/m				% x y m -
	{
	moveto
	} def
	}
	{%else
	/c
	{
	pl curveto
	} def
	/C
	/c load def
	/v
	{
	currentpoint 6 2 roll pl curveto
	} def
	/V
	/v load def
	/y
	{
	pl 2 copy curveto
	} def
	/Y
	/y load def
	/l
	{
	pl lineto
	} def
	/L
	/l load def
	/m
	{
	pl moveto
	} def
	}ifelse

% graphic state operators
/d					% array phase d -
{
setdash
} def
/cf	{} def			% - cf flatness
/i					% flatness i -
{
dup 0 eq
	{
	pop cf
	} if
setflat
} def
/j					% linejoin j -
{
setlinejoin
} def
/J					% linecap J -
{
setlinecap
} def
/M					% miterlimit M -
{
setmiterlimit
} def
/w					% linewidth w -
{
setlinewidth
} def

% path painting operators
/H					% - H -
{} def
/h					% - h -
{
closepath
} def
/N					% - N -
{
_pola 0 eq
	{
	_doClip 1 eq {clip /_doClip 0 ddef} if
	newpath
	}
	{
	/CRender {N} ddef
	}ifelse
} def
/n					% - n -
{N} def
/F					% - F -
{
_pola 0 eq
	{
	_doClip 1 eq
		{
		gsave _pf grestore clip newpath /_lp /none ddef _fc
		/_doClip 0 ddef
		}
		{
		_pf
		}ifelse
	}
	{
	/CRender {F} ddef
	}ifelse
} def
/f					% - f -
{
closepath
F
} def
/S					% - S -
{
_pola 0 eq
	{
	_doClip 1 eq
		{
		gsave _ps grestore clip newpath /_lp /none ddef _sc
		/_doClip 0 ddef
		}
		{
		_ps
		}ifelse
	}
	{
	/CRender {S} ddef
	}ifelse
} def
/s					% - s -
{
closepath
S
} def
/B					% - B -
{
_pola 0 eq
	{
	_doClip 1 eq 	% F clears _doClip
	gsave F grestore
		{
		gsave S grestore clip newpath /_lp /none ddef _sc
		/_doClip 0 ddef
		}
		{
		S
		}ifelse
	}
	{
	/CRender {B} ddef
	}ifelse
} def
/b					% - b -
{
closepath
B
} def
/W					% - W -
{
/_doClip 1 ddef
} def
/*					% - [string] * -
{
count 0 ne
	{
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/U					% - U -
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/q					% - q -
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/*U					% - *U -
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/D					% polarized D -
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186.562 604.5754 L
188.9414 604.515 L
191.3211 604.4282 L
193.7007 604.3188 L
198.4598 604.0356 L
203.2189 603.6543 L
207.9781 603.1638 L
217.4963 601.8316 L
227.0171 599.9483 L
229.847 599.1864 L
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[2 2 ]0 d
229.847 599.1864 m
236.5354 597.3857 L
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255.572 589.4299 L
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255.572 589.4299 m
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[]0 d
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112.7904 613.8596 L
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197.2701 637.6023 L
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199.6495 637.708 L
200.2445 637.7267 L
200.8394 637.7456 L
201.4342 637.757 L
202.0292 637.7684 L
202.3265 637.7721 L
202.624 637.7759 L
202.9215 637.7795 L
203.2189 637.7834 L
203.5163 637.7834 L
203.8139 637.7834 L
204.1112 637.7834 L
204.4087 637.7834 L
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205.0036 637.7795 L
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210.3577 637.6023 L
212.7373 637.44 L
215.1168 637.2211 L
217.4963 636.9418 L
222.2555 636.2021 L
227.0171 635.1905 L
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[2 2 ]0 d
228.5491 634.769 m
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241.2945 630.2165 m
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250.8127 624.8195 L
255.572 621.2945 L
260.3311 617.0713 L
265.0902 612.0027 L
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[]0 d
65.1966 589.6111 m
74.7149 598.3859 L
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93.7538 615.0749 L
103.2722 622.9437 L
112.7904 630.4656 L
122.3088 637.6098 L
131.827 644.3465 L
141.3478 650.6416 L
150.866 656.4499 L
160.3842 661.7223 L
169.9026 666.3985 L
179.4208 670.4141 L
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193.7007 674.9957 L
198.4598 676.0865 L
203.2189 676.928 L
205.5985 677.2526 L
207.9781 677.5094 L
209.1679 677.6074 L
210.3577 677.6904 L
210.9526 677.7245 L
211.5476 677.7546 L
212.1423 677.7811 L
212.7373 677.7998 L
213.0347 677.8075 L
213.3321 677.815 L
213.6296 677.8187 L
213.927 677.8226 L
214.2244 677.8264 L
214.5218 677.8301 L
214.8193 677.8301 L
215.1168 677.8301 L
215.4143 677.8264 L
215.7117 677.8226 L
216.0091 677.8187 L
216.3065 677.8112 L
216.9015 677.7961 L
217.4963 677.7772 L
218.6861 677.717 L
219.876 677.6377 L
221.0658 677.5357 L
222.2555 677.4075 L
224.6352 677.0866 L
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[2 2 ]0 d
228.5491 676.2884 m
231.7762 675.4976 L
236.5354 673.8597 L
241.2945 671.6934 L
246.0536 668.9233 L
250.8127 665.455 L
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250.8127 665.455 m
255.572 661.1711 L
260.3311 655.9102 L
265.0902 649.4528 L
269.8518 641.4895 L
274.6109 631.5298 L
279.37 618.7733 L
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284.1291 601.6277 L
286.5087 590.3659 L
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290.0781 566.9253 L
290.4842 563.0772 L
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[]0 d
65.1966 589.6111 m
74.7149 601.9977 L
84.2332 614.0218 L
93.7538 625.6611 L
103.2722 636.8851 L
112.7904 647.6639 L
122.3088 657.9635 L
131.827 667.7383 L
141.3478 676.9469 L
150.866 685.5367 L
160.3842 693.4359 L
169.9026 700.5764 L
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203.2189 718.0843 L
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210.3577 719.9261 L
212.7373 720.3527 L
213.927 720.5262 L
215.1168 720.6772 L
216.3065 720.8017 L
217.4963 720.896 L
218.0912 720.9338 L
218.6861 720.9678 L
219.2809 720.9904 L
219.5785 721.0016 L
219.876 721.0093 L
220.1735 721.013 L
220.4708 721.0168 L
220.7682 721.0205 L
221.0658 721.0205 L
221.3632 721.0168 L
221.6607 721.0168 L
221.9581 721.0093 L
222.2555 721.0016 L
222.8505 720.9828 L
223.4453 720.9564 L
224.0402 720.9186 L
224.6352 720.8771 L
225.8273 720.7677 L
227.0171 720.6244 L
229.3965 720.2355 L
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[2 2 ]0 d
229.3965 720.2355 m
231.7762 719.7071 L
234.1558 719.028 L
236.5354 718.19 L
241.2945 715.9934 L
246.0536 713.0233 L
250.8127 709.1586 L
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250.8127 709.1586 m
255.572 704.2485 L
260.3311 698.0931 L
265.0902 690.4053 L
269.8518 680.7852 L
274.6109 668.6175 L
279.37 652.8608 L
281.7496 643.0785 L
284.1291 631.4921 L
286.5087 617.3656 L
287.6985 608.9569 L
288.8883 599.2728 L
290.0781 587.792 L
291.2678 573.5073 L
291.8628 564.6455 L
291.9393 563.2498 L
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u
0 To
1.3885 0 0 1.3885 155.9374 539.8005 0 Tp
TP
0 Tr
0 O
0 g
1 w []0 d
0 Ta
14.5 0 Tl
(Figure 4a) Tx
(\r) TX
TO
U
u
0 R
0 G
1 J 1 j 0.5245 w
378.6429 588.7165 m
378.6429 590.9926 L
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U
u
0 To
0.9241 0 0 1.3885 378.6429 568.5825 0 Tp
TP
-6.0063 0 Td
0 Tr
0 O
0 g
0 J 0 j 1 w
1 Ta
12 0 Tl
(0.2) Tx
(\r) TX
TO
U
u
0 R
0 G
424.8052 588.7165 m
424.8052 590.9926 L
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U
u
0 To
0.9241 0 0 1.3885 424.8052 568.5825 0 Tp
TP
-6.0063 0 Td
0 Tr
0 O
0 g
(0.4) Tx
(\r) TX
TO
U
u
0 R
0 G
470.97 588.7165 m
470.97 590.9926 L
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U
u
0 To
0.9241 0 0 1.3885 470.97 568.5825 0 Tp
TP
-6.0063 0 Td
0 Tr
0 O
0 g
(0.6) Tx
(\r) TX
TO
U
u
0 R
0 G
517.1324 588.7165 m
517.1324 590.9926 L
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U
u
0 To
0.9241 0 0 1.3885 517.1324 568.5825 0 Tp
TP
-6.0063 0 Td
0 Tr
0 O
0 g
(0.8) Tx
(\r) TX
TO
U
u
0 R
0 G
563.2972 588.7165 m
563.2972 590.9926 L
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U
u
0 To
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TP
-2.4025 0 Td
0 Tr
0 O
0 g
(1) Tx
(\r) TX
TO
U
u
0 R
0 G
0.2622 w
341.7095 588.7165 m
341.7095 590.0821 L
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U
u
350.9435 588.7165 m
350.9435 590.0821 L
S
U
u
360.1774 588.7165 m
360.1774 590.0821 L
S
U
u
369.409 588.7165 m
369.409 590.0821 L
S
U
u
387.8744 588.7165 m
387.8744 590.0821 L
S
U
u
397.1083 588.7165 m
397.1083 590.0821 L
S
U
u
406.3399 588.7165 m
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U
u
415.5737 588.7165 m
415.5737 590.0821 L
S
U
u
434.0392 588.7165 m
434.0392 590.0821 L
S
U
u
443.2707 588.7165 m
443.2707 590.0821 L
S
U
u
452.5046 588.7165 m
452.5046 590.0821 L
S
U
u
461.736 588.7165 m
461.736 590.0821 L
S
U
u
480.2015 588.7165 m
480.2015 590.0821 L
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U
u
489.4355 588.7165 m
489.4355 590.0821 L
S
U
u
498.667 588.7165 m
498.667 590.0821 L
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U
u
507.9009 588.7165 m
507.9009 590.0821 L
S
U
u
526.3664 588.7165 m
526.3664 590.0821 L
S
U
u
535.5979 588.7165 m
535.5979 590.0821 L
S
U
u
544.8317 588.7165 m
544.8317 590.0821 L
S
U
u
554.0657 588.7165 m
554.0657 590.0821 L
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U
u
0.5245 w
326.7075 588.7165 m
569.0679 588.7165 L
S
U
u
332.4782 620.6995 m
333.9928 620.6995 L
S
U
u
0 To
0.9241 0 0 1.3885 329.4486 615.8395 0 Tp
TP
-4.805 0 Td
0 Tr
0 O
0 g
1 w
2 Ta
(2) Tx
(\r) TX
TO
U
u
0 R
0 G
332.4782 652.6861 m
333.9928 652.6861 L
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U
u
0 To
0.9241 0 0 1.3885 329.4486 647.8263 0 Tp
TP
-4.805 0 Td
0 Tr
0 O
0 g
(4) Tx
(\r) TX
TO
U
u
0 R
0 G
332.4782 684.6729 m
333.9928 684.6729 L
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U
u
0 To
0.9241 0 0 1.3885 329.4486 679.813 0 Tp
TP
-4.805 0 Td
0 Tr
0 O
0 g
(6) Tx
(\r) TX
TO
U
u
0 R
0 G
332.4782 716.6595 m
333.9928 716.6595 L
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U
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0 To
0.9241 0 0 1.3885 329.4486 711.7997 0 Tp
TP
-4.805 0 Td
0 Tr
0 O
0 g
(8) Tx
(\r) TX
TO
U
u
0 R
0 G
0.2622 w
332.4782 595.1116 m
333.387 595.1116 L
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U
u
332.4782 601.5103 m
333.387 601.5103 L
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U
u
332.4782 607.9055 m
333.387 607.9055 L
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U
u
332.4782 614.3042 m
333.387 614.3042 L
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U
u
332.4782 627.0983 m
333.387 627.0983 L
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U
u
332.4782 633.4934 m
333.387 633.4934 L
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U
u
332.4782 639.8922 m
333.387 639.8922 L
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U
u
332.4782 646.2873 m
333.387 646.2873 L
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U
u
332.4782 659.085 m
333.387 659.085 L
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U
u
332.4782 665.4801 m
333.387 665.4801 L
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U
u
332.4782 671.8789 m
333.387 671.8789 L
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U
u
332.4782 678.274 m
333.387 678.274 L
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U
u
332.4782 691.0681 m
333.387 691.0681 L
S
U
u
332.4782 697.4669 m
333.387 697.4669 L
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U
u
332.4782 703.8619 m
333.387 703.8619 L
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U
u
332.4782 710.2608 m
333.387 710.2608 L
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U
u
332.4782 723.0548 m
333.387 723.0548 L
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0.5245 w
332.4782 583.3556 m
332.4782 725.8621 L
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332.4782 726.0932 m
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332.4805 588.7165 m
342.0973 591.5025 L
351.7142 594.2594 L
361.3336 596.9762 L
370.9504 599.6567 L
380.5673 602.2934 L
390.1841 604.8864 L
399.8009 607.4283 L
409.4204 609.9195 L
419.037 612.3486 L
428.654 614.716 L
438.2708 617.0102 L
447.8876 619.2282 L
457.5069 621.3514 L
467.1239 623.3726 L
476.7407 625.2772 L
486.3575 627.0436 L
495.9768 628.6424 L
505.5937 630.0373 L
509.2135 630.4924 L
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509.2135 630.4924 m
510.4021 630.6418 L
515.2105 631.1736 L
520.0189 631.6251 L
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532.9416 632.2879 L
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533.8432 632.2951 L
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538.0506 632.2478 L
539.255 632.2042 L
540.4572 632.1495 L
541.6593 632.0767 L
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546.4677 631.5924 m
548.872 631.2064 L
551.2761 630.6927 L
553.6804 630.0082 L
556.0845 629.0867 L
557.2867 628.5004 L
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560.292 626.3917 L
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562.0951 624.1302 L
562.3956 623.5546 L
562.6963 622.8519 L
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332.4805 588.7165 m
342.0973 594.6345 L
351.7142 600.4942 L
361.3336 606.2886 L
370.9504 612.0135 L
380.5673 617.6658 L
390.1841 623.2379 L
399.8009 628.7225 L
409.4204 634.109 L
419.037 639.3932 L
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486.3575 672.254 L
495.9768 676.0599 L
505.5937 679.5014 L
508.2982 680.3412 L
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508.2982 680.3412 m
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520.0189 683.766 L
524.8274 684.8731 L
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532.04 686.126 L
534.4443 686.41 L
535.6463 686.5229 L
536.8484 686.6141 L
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538.0506 686.6832 L
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539.255 686.727 L
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540.4572 686.7452 L
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550.0741 685.6089 m
551.2761 685.2411 L
552.4783 684.7966 L
553.6804 684.2651 L
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557.2867 681.9451 L
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561.494 676.2237 L
562.0951 674.6541 L
562.3956 673.6634 L
562.6963 672.4398 L
562.9967 670.7645 L
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332.4805 588.7165 m
342.0973 597.854 L
351.7142 606.904 L
361.3336 615.8668 L
370.9504 624.731 L
380.5673 633.4897 L
390.1841 642.1355 L
399.8009 650.6577 L
409.4204 659.0486 L
419.037 667.2938 L
428.654 675.375 L
438.2708 683.2779 L
447.8876 690.9843 L
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467.1239 705.6829 L
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518.6552 737.505 L
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351.7142 613.3829 L
361.3336 625.5469 L
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390.1841 661.2518 L
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419.037 695.533 L
428.654 706.5716 L
438.2708 717.3807 L
447.8876 727.9348 L
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(Figure 4b) Tx
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(\r) TX
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Adobe_IllustratorA_AI3 /terminate get exec

Adobe_typography_AI3 /terminate get exec


Adobe_customcolor /terminate get exec

Adobe_cshow /terminate get exec

Adobe_cmykcolor /terminate get exec

Adobe_packedarray /terminate get exec

%%EOF

%%%%%%%%%%%%%%%%%%%%%
% Postscript file: fig5.ps
%!PS-Adobe-2.0
%%Title: Fig5bis.ai    __    /Net/ecu/users/meunier/Edition/Pesch
%%Creator: Adobe_Illustrator
%%CreationDate: Thu Jan 28 17:20:19 1993
%%For: meunier
%%DocumentFonts: (atend)
%%Pages: 1 1
%%DocumentPaperSizes: Letter
%%Orientation: Portrait
%!PS-Adobe-3.0 EPSF-3.0
%%Creator: Adobe Illustrator(TM) 3.0.1.
%%For: () ()
%%CreationDate: (1/28/93) (17:20)
%%BoundingBox: 152 559 443 747
%%DocumentProcessColors: Black
%%DocumentFonts: Courier
%%+ Helvetica
%%+ Helvetica-Oblique
%%+ Symbol
%%+ ZapfChancery-MediumItalic
%%DocumentSuppliedResources: procset Adobe_packedarray 2.0 0
%%+ procset Adobe_cmykcolor 1.1 0
%%+ procset Adobe_cshow 1.1 0
%%+ procset Adobe_customcolor 1.0 0
%%+ procset Adobe_typography_AI3 1.0 1
%%+ procset Adobe_IllustratorA_AI3 1.0 1
%AI3_ColorUsage: Black&White
%AI3_TemplateBox: 306 396 306 396
%AI3_TileBox: 30 31 582 761
%AI3_DocumentPreview: Header
%%Template:
%%PageOrigin:30 31
%%AI3_PaperRect:0 792 612 0
%%AI3_Margin:30 31 30 31
%%EndComments
%%BeginProlog
%%BeginResource: procset Adobe_packedarray 2.0 0
%%Title: (Packed Array Operators)
%%Version: 2.0
%%CreationDate: (8/2/90) ()
%%Copyright: ((C) 1987-1990 Adobe Systems Incorporated All Rights Reserved)

userdict /Adobe_packedarray 5 dict dup begin put
/initialize			% - initialize -
{
/packedarray where
	{
	pop
	}
	{
	Adobe_packedarray begin
	Adobe_packedarray
		{
		dup xcheck
			{
			bind
			} if
		userdict 3 1 roll put
		} forall
	end
	} ifelse
} def
/terminate			% - terminate -
{
} def
/packedarray		% arguments count packedarray array
{
array astore readonly
} def
/setpacking			% boolean setpacking -
{
pop
} def
/currentpacking		% - setpacking boolean
{
false
} def
currentdict readonly pop end
%%EndResource
Adobe_packedarray /initialize get exec

%%BeginResource: procset Adobe_cmykcolor 1.1 0
%%Title: (CMYK Color Operators)
%%Version: 1.1
%%CreationDate: (1/23/89) ()
%%Copyright: ((C) 1987-1990 Adobe Systems Incorporated All Rights Reserved)

currentpacking true setpacking
userdict /Adobe_cmykcolor 4 dict dup begin put
/initialize			% - initialize -
{
/setcmykcolor where
	{
	pop
	}
	{
	userdict /Adobe_cmykcolor_vars 2 dict dup begin put
	/_setrgbcolor
		/setrgbcolor load def
	/_currentrgbcolor
		/currentrgbcolor load def
	Adobe_cmykcolor begin
	Adobe_cmykcolor
		{
		dup xcheck
			{
			bind
			} if
		pop pop
		} forall
	end
	end
	Adobe_cmykcolor begin
	} ifelse
} def
/terminate			% - terminate -
{
currentdict Adobe_cmykcolor eq
	{
	end
	} if
} def
/setcmykcolor		% cyan magenta yellow black setcmykcolor -
{
1 sub 4 1 roll
3
	{
	3 index add neg dup 0 lt
		{
		pop 0
		} if
	3 1 roll
	} repeat
Adobe_cmykcolor_vars /_setrgbcolor get exec
pop
} def
/currentcmykcolor	% - currentcmykcolor cyan magenta yellow black
{
Adobe_cmykcolor_vars /_currentrgbcolor get exec
3
	{
	1 sub neg 3 1 roll
	} repeat
0
} def
currentdict readonly pop end
setpacking

%%EndResource
%%BeginResource: procset Adobe_cshow 1.1 0
%%Title: (cshow Operator)
%%Version: 1.1
%%CreationDate: (1/23/89) ()
%%Copyright: ((C) 1987-1990 Adobe Systems Incorporated All Rights Reserved)

currentpacking true setpacking
userdict /Adobe_cshow 3 dict dup begin put
/initialize			% - initialize -
{
/cshow where
	{
	pop
	}
	{
	userdict /Adobe_cshow_vars 1 dict dup begin put
	/_cshow		% - _cshow proc
		{} def
	Adobe_cshow begin
	Adobe_cshow
		{
		dup xcheck
			{
			bind
			} if
		userdict 3 1 roll put
		} forall
	end
	end
	} ifelse
} def
/terminate			% - terminate -
{
} def
/cshow				% proc string cshow -
{
exch
Adobe_cshow_vars
	exch /_cshow
	exch put
	{
	0 0 Adobe_cshow_vars /_cshow get exec
	} forall
} def
currentdict readonly pop end
setpacking

%%EndResource
%%BeginResource: procset Adobe_customcolor 1.0 0
%%Title: (Custom Color Operators)
%%Version: 1.0
%%CreationDate: (5/9/88) ()
%%Copyright: ((C) 1987-1990 Adobe Systems Incorporated All Rights Reserved)

currentpacking true setpacking
userdict /Adobe_customcolor 5 dict dup begin put
/initialize			% - initialize -
{
/setcustomcolor where
	{
	pop
	}
	{
	Adobe_customcolor begin
	Adobe_customcolor
		{
		dup xcheck
			{
			bind
			} if
		pop pop
		} forall
	end
	Adobe_customcolor begin
	} ifelse
} def
/terminate			% - terminate -
{
currentdict Adobe_customcolor eq
	{
	end
	} if
} def
/findcmykcustomcolor	% cyan magenta yellow black name findcmykcustomcolor
%%object
{
5 packedarray
}  def
/setcustomcolor		% object tint setcustomcolor -
{
exch
aload pop pop
4
	{
	4 index mul 4 1 roll
	} repeat
5 -1 roll pop
setcmykcolor
} def
/setoverprint		% boolean setoverprint -
{
pop
} def
currentdict readonly pop end
setpacking

%%EndResource
%%BeginResource: procset Adobe_typography_AI3 1.0 1
%%Title: (Typography Operators)
%%Version: 1.0
%%CreationDate:(5/31/90) ()
%%Copyright: ((C) 1987-1990 Adobe Systems Incorporated All Rights Reserved)

currentpacking true setpacking
userdict /Adobe_typography_AI3 47 dict dup begin put
/initialize			% - initialize -
{
/TZ
 where
	{
	pop
	}
	{
	Adobe_typography_AI3 begin
	Adobe_typography_AI3
		{
		dup xcheck
			{
			bind
			} if
		pop pop
		} forall
	end
	Adobe_typography_AI3 begin
	} ifelse
} def
/terminate			% - terminate -
{
currentdict Adobe_typography_AI3 eq
	{
	end
	} if
} def

% [ number value stream [ array for encoding modification ] modifyEncoding ==>
%%[ modified array ]
/modifyEncoding
{
	/_tempEncode exch ddef

	% pointer for sequential encodings
	/_pntr 0 ddef

	{
		% get bottom object
		counttomark -1 roll

		% is it a mark ?
		dup type dup /marktype eq
		{
			% exit
			pop pop exit
		}
		{
			% ... object ... type ....

			% insert if a nametype
			/nametype eq
			{
				% insert the name at _pntr and increment pointer
				_tempEncode /_pntr dup load dup 3 1 roll 1 add ddef 3 -1 roll
				put
			}
			{
				% reset _pntr if it's a number
				/_pntr exch ddef
			}
			ifelse
		}
		ifelse
	}
	loop

	% return the modified encoding
	_tempEncode
}
def

/TE	% Set std platform encoding 	% (encoding pairs) TE -
{
	StandardEncoding 256 array copy modifyEncoding
	/_nativeEncoding exch def
} def

% re-define font
% expected arguments
% for 'normal fonts :
%	[ /_Helvetica-Bold/Helvetica-Bold direction fontScript defaultEncoding TZ
%
% for cartographic, pictographic, and expert fonts :
% 	[ ... number value stream ... /_Helvetica-Bold/Helvetica-Bold
%	direction fontScript defaultEncoding TZ
/TZ
{
	% platform dependent coding flag
	/_useNativeEncoding exch def

	% pop fontScript & direction
	pop pop

	% create a new dictionary with length
	% equal to original dictionary length + 2
	% copy all the key/value pairs except FID
	findfont dup length 2 add dict

	begin

		% copy all the values but the FID
		% into the new dictionary
		mark exch
		{
			1 index /FID ne { def } if cleartomark mark
		}
		forall
		% discard last mark
		pop

		% define FontName
		/FontName exch def

		% if no re-encoding stream is present
		% then if the use platform encoding flag is true
		% install AI platform encoding
		% else leave the base encoding in effect

		counttomark 0 eq
		{
			1 _useNativeEncoding eq
			{
				/Encoding _nativeEncoding def
			}
			if
			% clean up
			cleartomark
		}
		{
			% custom encoding to be done
			% start off with a copy of the font's standard encoding
			/Encoding load 256 array copy
			modifyEncoding /Encoding exch def
		}
		ifelse
		FontName currentdict
	end

	% register the new font
	definefont pop
}
def

% text painting operators
/tr					% string tr ax ay string
{
_ax _ay 3 2 roll
} def
/trj				% string trj cx cy fillchar ax ay string
{
_cx _cy _sp _ax _ay 6 5 roll
} def

/a0
{
/Tx	% text							% textString Tx -
	{
	dup
	currentpoint 3 2 roll
	tr _psf
	newpath moveto
	tr _ctm _pss
	} ddef
/Tj	% justified text				% textString Tj -
	{
	dup
	currentpoint 3 2 roll
	trj _pjsf
	newpath moveto
	trj _ctm _pjss
	} ddef

} def
/a1
{
/Tx	% text							% textString Tx -
	{
	dup currentpoint 4 2 roll gsave
	dup currentpoint 3 2 roll
	tr _psf
	newpath moveto
	tr _ctm _pss
	grestore 3 1 roll moveto tr sp
	} ddef
/Tj	% justified text				% textString Tj -
	{
	dup currentpoint 4 2 roll gsave
	dup currentpoint 3 2 roll
	trj _pjsf
	newpath moveto
	trj _ctm _pjss
	grestore 3 1 roll moveto tr sp
	} ddef

} def

/e0
{
/Tx	% text							% textString Tx -
	{
	tr _psf
	} ddef
/Tj	% justified text				% textString Tj -
	{
	trj _pjsf
	} ddef
} def

/e1
{
/Tx	% text							% textString Tx -
	{
	dup currentpoint 4 2 roll gsave
	tr _psf
	grestore 3 1 roll moveto tr sp
	} ddef
/Tj	% justified text				% textString Tj -
	{
	dup currentpoint 4 2 roll gsave
	trj _pjsf
	grestore 3 1 roll moveto tr sp
	} ddef
} def

/i0
{
/Tx	% text							% textString Tx -
	{
	tr sp
	} ddef
/Tj	% justified text				% textString Tj -
	{
	trj jsp
	} ddef
} def

/i1
{
W N
} def

/o0
{
/Tx	% text							% textString Tx -
	{
	tr sw rmoveto
	} ddef
/Tj	% justified text				% textString Tj -
	{
	trj swj rmoveto
	} ddef
} def

/r0
{
/Tx	% text							% textString Tx -
	{
	tr _ctm _pss
	} ddef
/Tj	% justified text				% textString Tj -
	{
	trj _ctm _pjss
	} ddef
} def

/r1
{
/Tx	% text							% textString Tx -
	{
	dup currentpoint 4 2 roll currentpoint gsave newpath moveto
	tr _ctm _pss
	grestore 3 1 roll moveto tr sp
	} ddef
/Tj	% justified text				% textString Tj -
	{
	dup currentpoint 4 2 roll currentpoint gsave newpath moveto
	trj _ctm _pjss
	grestore 3 1 roll moveto tr sp
	} ddef
} def

% font operators

% Binding
/To	% begin text 					% bindType To -
{
	pop _ctm currentmatrix pop
} def

/TO	% end text					% TO -
{
	Te _ctm setmatrix newpath
} def

% Text paths
/Tp	% begin text path				% a b c d tx ty startPt Tp -
{
	pop _tm astore pop _ctm setmatrix
	_tDict begin /W {} def /h {} def
} def

/TP	% end text path					% TP -
{
	end
	iTm 0 0 moveto
} def

% Render mode & matrix operators
/Tr	% begin render					% render Tr -
{
	_render 3 le {currentpoint newpath moveto} if
	dup 8 eq {pop 0} {dup 9 eq {pop 1} if} ifelse
	dup /_render exch ddef
	_renderStart exch get load exec
} def

/iTm % internal set text matrix		% - iTm -	(uses _tm as implicit argument)
{
_ctm setmatrix _tm concat 0 _rise translate _hs 1 scale
} def

/Tm % set text matrix				% a b c d tx ty Tm -
{
_tm astore pop iTm 0 0 moveto
} def

/Td % translate text matrix 		% tx ty Td -
{
_mtx translate _tm _tm concatmatrix pop iTm 0 0 moveto
} def

/Te	% end render					% - Te -
{
	_render -1 eq {} {_renderEnd _render get dup null ne {load exec} {pop} ifelse}
ifelse
	/_render -1 ddef
} def


% Attributes
/Ta	% set alignment					% alignment Ta -
{
pop
} def

/Tf	% set font name and size		% fontname size Tf -
{
dup 1000 div /_fScl exch ddef
exch findfont exch scalefont setfont
} def

/Tl	% set leading					% leading paragraphLeading Tl -
{
pop
0 exch _leading astore pop
} def

/Tt	% set user tracking				% userTracking Tt -
{
pop
} def

/TW % set word spacing				% minSpace optSpace maxSpace TW -
{
3 npop
} def

/Tw	% set computed word spacing		% wordSpace Tw
{
/_cx exch ddef
} def

/TC % set character spacing			% minSpace optSpace maxSpace TC -
{
3 npop
} def

/Tc	% set computed char spacing 	% charSpace Tc -
{
/_ax exch ddef
} def

/Ts % set super/subscripting (rise)	% rise Ts -
{
/_rise exch ddef
currentpoint
iTm
moveto
} def

/Ti	% set indentation				% firstStartIndent otherStartIndent stopIndent Ti -
{
3 npop
} def

/Tz % set horizontal scaling		% scalePercent Tz -
{
100 div /_hs exch ddef
iTm
} def

/TA % set pairwise kerning			% autoKern TA -
									%	autoKern = 0 -> no pair kerning
									%			 = 1 -> automatic pair kerning
{
pop
} def

/Tq % set hanging quotes			% hangingQuotes Tq -
									%	hangingQuotes 	= 0 -> no hanging quotes
									%			 		= 1 -> hanging quotes
{
pop
} def


% Text Bodies
/TX {pop} def

%/Tx	% non-justified text			% textString Tx -
%/Tj	% justified text				% textString Tj -

/Tk	% kern							% autoKern kernValue Tk -
									%  	autoKern = 0 -> manual kern, = 1 -> auto kern
									%	kernValue = kern value in em/1000 space
{
exch pop _fScl mul neg 0 rmoveto
} def
/TK	% non-printing kern				% autoKern kernValue TK -
{
2 npop
} def

/T* % carriage return & line feed	% - T* -
{
_leading aload pop neg Td
} def

/T*- % carriage return & negative line feed	% - T*- -
{
_leading aload pop Td
} def

/T-	% print a discretionary hyphen	% - T- -
{
_hyphen Tx
} def

/T+	% discretionary hyphen hyphen	% - T+ -
{} def

/TR	% reset pattern matrix 			% a b c d tx ty TR -
{
_ctm currentmatrix pop
_tm astore pop
iTm 0 0 moveto
} def

/TS	% special chars					% textString justified TS -
{
0 eq {Tx} {Tj} ifelse
} def

currentdict readonly pop end
setpacking

%%EndResource

%%BeginResource: procset Adobe_IllustratorA_AI3 1.0 1
%%Title: (Adobe Illustrator (R) Version 3.0 Abbreviated Prolog)
%%Version: 1.0
%%CreationDate: (7/22/89) ()
%%Copyright: ((C) 1987-1990 Adobe Systems Incorporated All Rights Reserved)

currentpacking true setpacking
userdict /Adobe_IllustratorA_AI3 61 dict dup begin put
% initialization
/initialize				% - initialize -
{
% 47 vars, but leave slack of 10 entries for custom Postscript fragments
userdict /Adobe_IllustratorA_AI3_vars 57 dict dup begin put

% paint operands
/_lp /none def
/_pf {} def
/_ps {} def
/_psf {} def
/_pss {} def
/_pjsf {} def
/_pjss {} def
/_pola 0 def
/_doClip 0 def

% paint operators
/cf	currentflat def	% - cf flatness

% typography operands
/_tm matrix def
/_renderStart [/e0 /r0 /a0 /o0 /e1 /r1 /a1 /i0] def
/_renderEnd [null null null null /i1 /i1 /i1 /i1] def
/_render -1 def
/_rise 0 def
/_ax 0 def			% x character spacing	(_ax, _ay, _cx, _cy follows awidthshow
%%naming convention)
/_ay 0 def			% y character spacing
/_cx 0 def			% x word spacing
/_cy 0 def			% y word spacing
/_leading [0 0] def
/_ctm matrix def
/_mtx matrix def
/_sp 16#020 def
/_hyphen (-) def
/_fScl 0 def
/_cnt 0 def
/_hs 1 def
/_nativeEncoding 0 def
/_useNativeEncoding 0 def
/_tempEncode 0 def
/_pntr 0 def
/_tDict 2 dict def

% typography operators
/Tx {} def
/Tj {} def

% compound path operators
/CRender {} def

% printing
/_AI3_savepage {} def

% color operands
/_gf null def
/_cf 4 array def
/_if null def
/_of false def
/_fc {} def
/_gs null def
/_cs 4 array def
/_is null def
/_os false def
/_sc {} def
/_i null def
Adobe_IllustratorA_AI3 begin
Adobe_IllustratorA_AI3
	{
	dup xcheck
		{
		bind
		} if
	pop pop
	} forall
end
end
Adobe_IllustratorA_AI3 begin
Adobe_IllustratorA_AI3_vars begin
newpath
} def
/terminate				% - terminate -
{
end
end
} def
% definition operators
/_					% - _ null
null def
/ddef				% key value ddef -
{
Adobe_IllustratorA_AI3_vars 3 1 roll put
} def
/xput				% key value literal xput -
{
dup load dup length exch maxlength eq
	{
	dup dup load dup
	length 2 mul dict copy def
	} if
load begin def end
} def
/npop				% integer npop -
{
	{
	pop
	} repeat
} def
% marking operators
/sw					% ax ay string sw x y
{
dup length exch stringwidth
exch 5 -1 roll 3 index 1 sub mul add
4 1 roll 3 1 roll 1 sub mul add
} def
/swj				% cx cy fillchar ax ay string swj x y
{
dup 4 1 roll
dup length exch stringwidth
exch 5 -1 roll 3 index 1 sub mul add
4 1 roll 3 1 roll 1 sub mul add
6 2 roll /_cnt 0 ddef
{1 index eq {/_cnt _cnt 1 add ddef} if} forall pop
exch _cnt mul exch _cnt mul 2 index add 4 1 roll 2 index add 4 1 roll pop pop
} def
/ss					% ax ay string matrix ss -
{
4 1 roll
	{				% matrix ax ay char 0 0 {proc} -
	2 npop
	(0) exch 2 copy 0 exch put pop
	gsave
	false charpath currentpoint
	4 index setmatrix
	stroke
	grestore
	moveto
	2 copy rmoveto
	} exch cshow
3 npop
} def
/jss				% cx cy fillchar ax ay string matrix jss -
{
4 1 roll
	{				% cx cy fillchar matrix ax ay char 0 0 {proc} -
	2 npop
	(0) exch 2 copy 0 exch put
	gsave
	_sp eq
		{
		exch 6 index 6 index 6 index 5 -1 roll widthshow
		currentpoint
		}
		{
		false charpath currentpoint
		4 index setmatrix stroke
		}ifelse
	grestore
	moveto
	2 copy rmoveto
	} exch cshow
6 npop
} def

% path operators
/sp					% ax ay string sp -
{
	{
	2 npop (0) exch
	2 copy 0 exch put pop
	false charpath
	2 copy rmoveto
	} exch cshow
2 npop
} def
/jsp					% cx cy fillchar ax ay string jsp -
{
	{					% cx cy fillchar ax ay char 0 0 {proc} -
	2 npop
	(0) exch 2 copy 0 exch put
	_sp eq
		{
		exch 5 index 5 index 5 index 5 -1 roll widthshow
		}
		{
		false charpath
		}ifelse
	2 copy rmoveto
	} exch cshow
5 npop
} def

% path construction operators
/pl				% x y pl x y
{
transform
0.25 sub round 0.25 add exch
0.25 sub round 0.25 add exch
itransform
} def
/setstrokeadjust where
	{
	pop true setstrokeadjust
	/c				% x1 y1 x2 y2 x3 y3 c -
	{
	curveto
	} def
	/C
	/c load def
	/v				% x2 y2 x3 y3 v -
	{
	currentpoint 6 2 roll curveto
	} def
	/V
	/v load def
	/y				% x1 y1 x2 y2 y -
	{
	2 copy curveto
	} def
	/Y
	/y load def
	/l				% x y l -
	{
	lineto
	} def
	/L
	/l load def
	/m				% x y m -
	{
	moveto
	} def
	}
	{%else
	/c
	{
	pl curveto
	} def
	/C
	/c load def
	/v
	{
	currentpoint 6 2 roll pl curveto
	} def
	/V
	/v load def
	/y
	{
	pl 2 copy curveto
	} def
	/Y
	/y load def
	/l
	{
	pl lineto
	} def
	/L
	/l load def
	/m
	{
	pl moveto
	} def
	}ifelse

% graphic state operators
/d					% array phase d -
{
setdash
} def
/cf	{} def			% - cf flatness
/i					% flatness i -
{
dup 0 eq
	{
	pop cf
	} if
setflat
} def
/j					% linejoin j -
{
setlinejoin
} def
/J					% linecap J -
{
setlinecap
} def
/M					% miterlimit M -
{
setmiterlimit
} def
/w					% linewidth w -
{
setlinewidth
} def

% path painting operators
/H					% - H -
{} def
/h					% - h -
{
closepath
} def
/N					% - N -
{
_pola 0 eq
	{
	_doClip 1 eq {clip /_doClip 0 ddef} if
	newpath
	}
	{
	/CRender {N} ddef
	}ifelse
} def
/n					% - n -
{N} def
/F					% - F -
{
_pola 0 eq
	{
	_doClip 1 eq
		{
		gsave _pf grestore clip newpath /_lp /none ddef _fc
		/_doClip 0 ddef
		}
		{
		_pf
		}ifelse
	}
	{
	/CRender {F} ddef
	}ifelse
} def
/f					% - f -
{
closepath
F
} def
/S					% - S -
{
_pola 0 eq
	{
	_doClip 1 eq
		{
		gsave _ps grestore clip newpath /_lp /none ddef _sc
		/_doClip 0 ddef
		}
		{
		_ps
		}ifelse
	}
	{
	/CRender {S} ddef
	}ifelse
} def
/s					% - s -
{
closepath
S
} def
/B					% - B -
{
_pola 0 eq
	{
	_doClip 1 eq 	% F clears _doClip
	gsave F grestore
		{
		gsave S grestore clip newpath /_lp /none ddef _sc
		/_doClip 0 ddef
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U
0 To
1 0 0 1 176.7977 689.559 0 Tp
TP
-17.9997 0 Td
0 Tr
0 O
0 g
(1.5) Tx
(\r) TX
TO
u
0 R
0 G
180.1194 722.3113 m
181.7802 722.3113 L
S
U
0 To
1 0 0 1 176.7977 718.8113 0 Tp
TP
-5.9999 0 Td
0 Tr
0 O
0 g
(2) Tx
(\r) TX
TO
u
0 R
0 G
0.2657 w
180.1194 611.1507 m
181.1159 611.1507 L
S
U
u
180.1194 617.0023 m
181.1159 617.0023 L
S
U
u
180.1194 622.8538 m
181.1159 622.8538 L
S
U
u
180.1194 628.7027 m
181.1159 628.7027 L
S
U
u
180.1194 640.4032 m
181.1159 640.4032 L
S
U
u
180.1194 646.2546 m
181.1159 646.2546 L
S
U
u
180.1194 652.1061 m
181.1159 652.1061 L
S
U
u
180.1194 657.955 m
181.1159 657.955 L
S
U
u
180.1194 669.6555 m
181.1159 669.6555 L
S
U
u
180.1194 675.507 m
181.1159 675.507 L
S
U
u
180.1194 681.3586 m
181.1159 681.3586 L
S
U
u
180.1194 687.2074 m
181.1159 687.2074 L
S
U
u
180.1194 698.9078 m
181.1159 698.9078 L
S
U
u
180.1194 704.7593 m
181.1159 704.7593 L
S
U
u
180.1194 710.6082 m
181.1159 710.6082 L
S
U
u
180.1194 716.4598 m
181.1159 716.4598 L
S
U
u
180.1194 599.4504 m
181.1159 599.4504 L
S
U
u
180.1194 593.6015 m
181.1159 593.6015 L
S
U
u
180.1194 587.75 m
181.1159 587.75 L
S
U
u
180.1194 581.8984 m
181.1159 581.8984 L
S
U
u
180.1194 728.1601 m
181.1159 728.1601 L
S
U
u
180.1194 734.0117 m
181.1159 734.0117 L
S
U
u
180.1194 739.8605 m
181.1159 739.8605 L
S
U
u
0.5314 w
180.1194 577.6812 m
180.1194 741.9147 L
S
U
U
u
0.5 w
180.5114 605.5611 m
180.8409 605.7577 L
181.4999 606.1536 L
182.8179 606.9402 L
185.4541 608.5161 L
190.7263 611.6624 L
201.2708 617.9285 L
211.8178 624.16 L
222.3623 630.3543 L
232.9068 636.5115 L
243.4512 642.6261 L
253.9984 648.6982 L
264.5428 654.7224 L
275.0873 660.6989 L
285.6343 666.6195 L
296.1788 672.479 L
306.7232 678.2746 L
317.2677 683.9987 L
327.8147 689.6456 L
338.3592 695.2048 L
348.9037 700.6631 L
359.4481 706.0097 L
369.9953 711.2261 L
380.5397 716.2937 L
391.0842 721.1832 L
401.6286 725.8629 L
412.1757 730.2821 L
422.7201 734.3825 L
433.2646 738.0682 L
S
U
180.1819 605.3644 m
190.7263 610.6925 L
201.2708 615.9301 L
211.8178 621.0748 L
222.3623 626.1105 L
232.9068 631.024 L
243.4512 635.8046 L
253.9984 640.4285 L
264.5428 644.8769 L
275.0873 649.1127 L
285.6343 653.0987 L
296.1788 656.7792 L
306.7232 660.0743 L
317.2677 662.8699 L
322.5399 664.0285 L
327.8147 664.9878 L
330.4509 665.3812 L
333.087 665.7107 L
334.4051 665.8462 L
335.7231 665.9631 L
337.0412 666.0614 L
337.7002 666.1012 L
338.3592 666.1358 L
339.0183 666.165 L
339.6773 666.1889 L
340.0068 666.1996 L
340.3363 666.2075 L
340.6658 666.2129 L
340.9954 666.2182 L
341.3249 666.2208 L
341.6544 666.2208 L
341.9839 666.2208 L
342.3134 666.2208 L
342.6429 666.2155 L
342.9725 666.2102 L
343.3019 666.2022 L
343.6314 666.1943 L
344.2905 666.1703 L
344.9495 666.1384 L
346.2676 666.0534 L
347.5856 665.9312 L
348.9037 665.7744 L
350.2218 665.5778 L
351.5398 665.3359 L
354.1759 664.7141 L
356.812 663.8664 L
S
0 To
1 0 0 1 303.2964 560.798 0 Tp
TP
0 Tr
0 O
0 g
1 w
/_Helvetica 10 Tf
0 Ta
(Figure 5) Tx
(\r) TX
TO
0 To
1 0 0 1 304.7964 576.798 0 Tp
TP
0 Tr
(ln\() Tx
/_Symbol 10 Tf
(Q) Tx
/_Symbol 8 Tf
(0) Tx
/_Symbol 10 Tf
(/Q) Tx
/_Helvetica 10 Tf
(\)) Tx
(\r) TX
TO
0 To
1 0 0 1 347.7964 650.798 0 Tp
TP
0 Tr
/_Symbol 14 Tf
(e) Tx
/_Helvetica 10 Tf
(=4) Tx
(\r) TX
TO
0 To
1 0 0 1 386.7964 733.798 0 Tp
TP
0 Tr
/_Symbol 14 Tf
(e) Tx
/_Helvetica 12 Tf
(=) Tx
/_Helvetica 10 Tf
(6.5) Tx
(\r) TX
TO
u
0 To
1 0 0 1 193.5643 732.973 0 Tp
TP
0 Tr
/_Helvetica 12 Tf
(ln ) Tx
/_ZapfChancery-MediumItalic 14 Tf
(F ) Tx
(\r) TX
TO
0 To
1 0 0 1 211.5643 728.473 0 Tp
TP
0 Tr
/_Helvetica-Oblique 8 Tf
(2) Tx
(\r) TX
TO
U
annotatepage
grestore
grestore
showpage
__NXsheetsavetoken restore
%%PageTrailer
%%DocumentFonts: ZapfChancery-MediumItalic
%%+ Courier
%%+ Helvetica-Oblique
%%+ Symbol
%%+ Helvetica
end %Next_printPackage
%%Trailer
Adobe_IllustratorA_AI3 /terminate get exec

Adobe_typography_AI3 /terminate get exec


Adobe_customcolor /terminate get exec

Adobe_cshow /terminate get exec

Adobe_cmykcolor /terminate get exec

Adobe_packedarray /terminate get exec

%%EOF

%%%%%%%%%%%%%%%%%%%%%
% Postscript file: fig6.ps
%!PS-Adobe-2.0
%%Title: Fig6bis.ai    __    /Net/ecu/users/meunier/Edition/Pesch
%%Creator: Adobe_Illustrator
%%CreationDate: Thu Jan 28 17:20:49 1993
%%For: meunier
%%DocumentFonts: (atend)
%%Pages: 1 1
%%DocumentPaperSizes: Letter
%%Orientation: Portrait
%!PS-Adobe-3.0 EPSF-3.0
%%Creator: Adobe Illustrator(TM) 3.0.1.
%%For: () ()
%%CreationDate: (1/28/93) (17:20)
%%BoundingBox: -5 424 556 642
%%DocumentProcessColors: Black
%%DocumentFonts: Courier
%%+ Helvetica
%%+ ZapfChancery-MediumItalic
%%DocumentSuppliedResources: procset Adobe_packedarray 2.0 0
%%+ procset Adobe_cmykcolor 1.1 0
%%+ procset Adobe_cshow 1.1 0
%%+ procset Adobe_customcolor 1.0 0
%%+ procset Adobe_typography_AI3 1.0 1
%%+ procset Adobe_IllustratorA_AI3 1.0 1
%AI3_ColorUsage: Black&White
%AI3_TemplateBox: 0 0 0 0
%AI3_TileBox: 0 0 552 730
%AI3_DocumentPreview: Header
%%Template:
%%PageOrigin:0 0
%%AI3_PaperRect:0 792 612 0
%%AI3_Margin:30 31 30 31
%%EndComments
%%BeginProlog
%%BeginResource: procset Adobe_packedarray 2.0 0
%%Title: (Packed Array Operators)
%%Version: 2.0
%%CreationDate: (8/2/90) ()
%%Copyright: ((C) 1987-1990 Adobe Systems Incorporated All Rights Reserved)

userdict /Adobe_packedarray 5 dict dup begin put
/initialize			% - initialize -
{
/packedarray where
	{
	pop
	}
	{
	Adobe_packedarray begin
	Adobe_packedarray
		{
		dup xcheck
			{
			bind
			} if
		userdict 3 1 roll put
		} forall
	end
	} ifelse
} def
/terminate			% - terminate -
{
} def
/packedarray		% arguments count packedarray array
{
array astore readonly
} def
/setpacking			% boolean setpacking -
{
pop
} def
/currentpacking		% - setpacking boolean
{
false
} def
currentdict readonly pop end
%%EndResource
Adobe_packedarray /initialize get exec

%%BeginResource: procset Adobe_cmykcolor 1.1 0
%%Title: (CMYK Color Operators)
%%Version: 1.1
%%CreationDate: (1/23/89) ()
%%Copyright: ((C) 1987-1990 Adobe Systems Incorporated All Rights Reserved)

currentpacking true setpacking
userdict /Adobe_cmykcolor 4 dict dup begin put
/initialize			% - initialize -
{
/setcmykcolor where
	{
	pop
	}
	{
	userdict /Adobe_cmykcolor_vars 2 dict dup begin put
	/_setrgbcolor
		/setrgbcolor load def
	/_currentrgbcolor
		/currentrgbcolor load def
	Adobe_cmykcolor begin
	Adobe_cmykcolor
		{
		dup xcheck
			{
			bind
			} if
		pop pop
		} forall
	end
	end
	Adobe_cmykcolor begin
	} ifelse
} def
/terminate			% - terminate -
{
currentdict Adobe_cmykcolor eq
	{
	end
	} if
} def
/setcmykcolor		% cyan magenta yellow black setcmykcolor -
{
1 sub 4 1 roll
3
	{
	3 index add neg dup 0 lt
		{
		pop 0
		} if
	3 1 roll
	} repeat
Adobe_cmykcolor_vars /_setrgbcolor get exec
pop
} def
/currentcmykcolor	% - currentcmykcolor cyan magenta yellow black
{
Adobe_cmykcolor_vars /_currentrgbcolor get exec
3
	{
	1 sub neg 3 1 roll
	} repeat
0
} def
currentdict readonly pop end
setpacking

%%EndResource
%%BeginResource: procset Adobe_cshow 1.1 0
%%Title: (cshow Operator)
%%Version: 1.1
%%CreationDate: (1/23/89) ()
%%Copyright: ((C) 1987-1990 Adobe Systems Incorporated All Rights Reserved)

currentpacking true setpacking
userdict /Adobe_cshow 3 dict dup begin put
/initialize			% - initialize -
{
/cshow where
	{
	pop
	}
	{
	userdict /Adobe_cshow_vars 1 dict dup begin put
	/_cshow		% - _cshow proc
		{} def
	Adobe_cshow begin
	Adobe_cshow
		{
		dup xcheck
			{
			bind
			} if
		userdict 3 1 roll put
		} forall
	end
	end
	} ifelse
} def
/terminate			% - terminate -
{
} def
/cshow				% proc string cshow -
{
exch
Adobe_cshow_vars
	exch /_cshow
	exch put
	{
	0 0 Adobe_cshow_vars /_cshow get exec
	} forall
} def
currentdict readonly pop end
setpacking

%%EndResource
%%BeginResource: procset Adobe_customcolor 1.0 0
%%Title: (Custom Color Operators)
%%Version: 1.0
%%CreationDate: (5/9/88) ()
%%Copyright: ((C) 1987-1990 Adobe Systems Incorporated All Rights Reserved)

currentpacking true setpacking
userdict /Adobe_customcolor 5 dict dup begin put
/initialize			% - initialize -
{
/setcustomcolor where
	{
	pop
	}
	{
	Adobe_customcolor begin
	Adobe_customcolor
		{
		dup xcheck
			{
			bind
			} if
		pop pop
		} forall
	end
	Adobe_customcolor begin
	} ifelse
} def
/terminate			% - terminate -
{
currentdict Adobe_customcolor eq
	{
	end
	} if
} def
/findcmykcustomcolor	% cyan magenta yellow black name findcmykcustomcolor
%%object
{
5 packedarray
}  def
/setcustomcolor		% object tint setcustomcolor -
{
exch
aload pop pop
4
	{
	4 index mul 4 1 roll
	} repeat
5 -1 roll pop
setcmykcolor
} def
/setoverprint		% boolean setoverprint -
{
pop
} def
currentdict readonly pop end
setpacking

%%EndResource
%%BeginResource: procset Adobe_typography_AI3 1.0 1
%%Title: (Typography Operators)
%%Version: 1.0
%%CreationDate:(5/31/90) ()
%%Copyright: ((C) 1987-1990 Adobe Systems Incorporated All Rights Reserved)

currentpacking true setpacking
userdict /Adobe_typography_AI3 47 dict dup begin put
/initialize			% - initialize -
{
/TZ
 where
	{
	pop
	}
	{
	Adobe_typography_AI3 begin
	Adobe_typography_AI3
		{
		dup xcheck
			{
			bind
			} if
		pop pop
		} forall
	end
	Adobe_typography_AI3 begin
	} ifelse
} def
/terminate			% - terminate -
{
currentdict Adobe_typography_AI3 eq
	{
	end
	} if
} def

% [ number value stream [ array for encoding modification ] modifyEncoding ==>
%%[ modified array ]
/modifyEncoding
{
	/_tempEncode exch ddef

	% pointer for sequential encodings
	/_pntr 0 ddef

	{
		% get bottom object
		counttomark -1 roll

		% is it a mark ?
		dup type dup /marktype eq
		{
			% exit
			pop pop exit
		}
		{
			% ... object ... type ....

			% insert if a nametype
			/nametype eq
			{
				% insert the name at _pntr and increment pointer
				_tempEncode /_pntr dup load dup 3 1 roll 1 add ddef 3 -1 roll
				put
			}
			{
				% reset _pntr if it's a number
				/_pntr exch ddef
			}
			ifelse
		}
		ifelse
	}
	loop

	% return the modified encoding
	_tempEncode
}
def

/TE	% Set std platform encoding 	% (encoding pairs) TE -
{
	StandardEncoding 256 array copy modifyEncoding
	/_nativeEncoding exch def
} def

% re-define font
% expected arguments
% for 'normal fonts :
%	[ /_Helvetica-Bold/Helvetica-Bold direction fontScript defaultEncoding TZ
%
% for cartographic, pictographic, and expert fonts :
% 	[ ... number value stream ... /_Helvetica-Bold/Helvetica-Bold
%	direction fontScript defaultEncoding TZ
/TZ
{
	% platform dependent coding flag
	/_useNativeEncoding exch def

	% pop fontScript & direction
	pop pop

	% create a new dictionary with length
	% equal to original dictionary length + 2
	% copy all the key/value pairs except FID
	findfont dup length 2 add dict

	begin

		% copy all the values but the FID
		% into the new dictionary
		mark exch
		{
			1 index /FID ne { def } if cleartomark mark
		}
		forall
		% discard last mark
		pop

		% define FontName
		/FontName exch def

		% if no re-encoding stream is present
		% then if the use platform encoding flag is true
		% install AI platform encoding
		% else leave the base encoding in effect

		counttomark 0 eq
		{
			1 _useNativeEncoding eq
			{
				/Encoding _nativeEncoding def
			}
			if
			% clean up
			cleartomark
		}
		{
			% custom encoding to be done
			% start off with a copy of the font's standard encoding
			/Encoding load 256 array copy
			modifyEncoding /Encoding exch def
		}
		ifelse
		FontName currentdict
	end

	% register the new font
	definefont pop
}
def

% text painting operators
/tr					% string tr ax ay string
{
_ax _ay 3 2 roll
} def
/trj				% string trj cx cy fillchar ax ay string
{
_cx _cy _sp _ax _ay 6 5 roll
} def

/a0
{
/Tx	% text							% textString Tx -
	{
	dup
	currentpoint 3 2 roll
	tr _psf
	newpath moveto
	tr _ctm _pss
	} ddef
/Tj	% justified text				% textString Tj -
	{
	dup
	currentpoint 3 2 roll
	trj _pjsf
	newpath moveto
	trj _ctm _pjss
	} ddef

} def
/a1
{
/Tx	% text							% textString Tx -
	{
	dup currentpoint 4 2 roll gsave
	dup currentpoint 3 2 roll
	tr _psf
	newpath moveto
	tr _ctm _pss
	grestore 3 1 roll moveto tr sp
	} ddef
/Tj	% justified text				% textString Tj -
	{
	dup currentpoint 4 2 roll gsave
	dup currentpoint 3 2 roll
	trj _pjsf
	newpath moveto
	trj _ctm _pjss
	grestore 3 1 roll moveto tr sp
	} ddef

} def

/e0
{
/Tx	% text							% textString Tx -
	{
	tr _psf
	} ddef
/Tj	% justified text				% textString Tj -
	{
	trj _pjsf
	} ddef
} def

/e1
{
/Tx	% text							% textString Tx -
	{
	dup currentpoint 4 2 roll gsave
	tr _psf
	grestore 3 1 roll moveto tr sp
	} ddef
/Tj	% justified text				% textString Tj -
	{
	dup currentpoint 4 2 roll gsave
	trj _pjsf
	grestore 3 1 roll moveto tr sp
	} ddef
} def

/i0
{
/Tx	% text							% textString Tx -
	{
	tr sp
	} ddef
/Tj	% justified text				% textString Tj -
	{
	trj jsp
	} ddef
} def

/i1
{
W N
} def

/o0
{
/Tx	% text							% textString Tx -
	{
	tr sw rmoveto
	} ddef
/Tj	% justified text				% textString Tj -
	{
	trj swj rmoveto
	} ddef
} def

/r0
{
/Tx	% text							% textString Tx -
	{
	tr _ctm _pss
	} ddef
/Tj	% justified text				% textString Tj -
	{
	trj _ctm _pjss
	} ddef
} def

/r1
{
/Tx	% text							% textString Tx -
	{
	dup currentpoint 4 2 roll currentpoint gsave newpath moveto
	tr _ctm _pss
	grestore 3 1 roll moveto tr sp
	} ddef
/Tj	% justified text				% textString Tj -
	{
	dup currentpoint 4 2 roll currentpoint gsave newpath moveto
	trj _ctm _pjss
	grestore 3 1 roll moveto tr sp
	} ddef
} def

% font operators

% Binding
/To	% begin text 					% bindType To -
{
	pop _ctm currentmatrix pop
} def

/TO	% end text					% TO -
{
	Te _ctm setmatrix newpath
} def

% Text paths
/Tp	% begin text path				% a b c d tx ty startPt Tp -
{
	pop _tm astore pop _ctm setmatrix
	_tDict begin /W {} def /h {} def
} def

/TP	% end text path					% TP -
{
	end
	iTm 0 0 moveto
} def

% Render mode & matrix operators
/Tr	% begin render					% render Tr -
{
	_render 3 le {currentpoint newpath moveto} if
	dup 8 eq {pop 0} {dup 9 eq {pop 1} if} ifelse
	dup /_render exch ddef
	_renderStart exch get load exec
} def

/iTm % internal set text matrix		% - iTm -	(uses _tm as implicit argument)
{
_ctm setmatrix _tm concat 0 _rise translate _hs 1 scale
} def

/Tm % set text matrix				% a b c d tx ty Tm -
{
_tm astore pop iTm 0 0 moveto
} def

/Td % translate text matrix 		% tx ty Td -
{
_mtx translate _tm _tm concatmatrix pop iTm 0 0 moveto
} def

/Te	% end render					% - Te -
{
	_render -1 eq {} {_renderEnd _render get dup null ne {load exec} {pop} ifelse}
ifelse
	/_render -1 ddef
} def


% Attributes
/Ta	% set alignment					% alignment Ta -
{
pop
} def

/Tf	% set font name and size		% fontname size Tf -
{
dup 1000 div /_fScl exch ddef
exch findfont exch scalefont setfont
} def

/Tl	% set leading					% leading paragraphLeading Tl -
{
pop
0 exch _leading astore pop
} def

/Tt	% set user tracking				% userTracking Tt -
{
pop
} def

/TW % set word spacing				% minSpace optSpace maxSpace TW -
{
3 npop
} def

/Tw	% set computed word spacing		% wordSpace Tw
{
/_cx exch ddef
} def

/TC % set character spacing			% minSpace optSpace maxSpace TC -
{
3 npop
} def

/Tc	% set computed char spacing 	% charSpace Tc -
{
/_ax exch ddef
} def

/Ts % set super/subscripting (rise)	% rise Ts -
{
/_rise exch ddef
currentpoint
iTm
moveto
} def

/Ti	% set indentation				% firstStartIndent otherStartIndent stopIndent Ti -
{
3 npop
} def

/Tz % set horizontal scaling		% scalePercent Tz -
{
100 div /_hs exch ddef
iTm
} def

/TA % set pairwise kerning			% autoKern TA -
									%	autoKern = 0 -> no pair kerning
									%			 = 1 -> automatic pair kerning
{
pop
} def

/Tq % set hanging quotes			% hangingQuotes Tq -
									%	hangingQuotes 	= 0 -> no hanging quotes
									%			 		= 1 -> hanging quotes
{
pop
} def


% Text Bodies
/TX {pop} def

%/Tx	% non-justified text			% textString Tx -
%/Tj	% justified text				% textString Tj -

/Tk	% kern							% autoKern kernValue Tk -
									%  	autoKern = 0 -> manual kern, = 1 -> auto kern
									%	kernValue = kern value in em/1000 space
{
exch pop _fScl mul neg 0 rmoveto
} def
/TK	% non-printing kern				% autoKern kernValue TK -
{
2 npop
} def

/T* % carriage return & line feed	% - T* -
{
_leading aload pop neg Td
} def

/T*- % carriage return & negative line feed	% - T*- -
{
_leading aload pop Td
} def

/T-	% print a discretionary hyphen	% - T- -
{
_hyphen Tx
} def

/T+	% discretionary hyphen hyphen	% - T+ -
{} def

/TR	% reset pattern matrix 			% a b c d tx ty TR -
{
_ctm currentmatrix pop
_tm astore pop
iTm 0 0 moveto
} def

/TS	% special chars					% textString justified TS -
{
0 eq {Tx} {Tj} ifelse
} def

currentdict readonly pop end
setpacking

%%EndResource

%%BeginResource: procset Adobe_IllustratorA_AI3 1.0 1
%%Title: (Adobe Illustrator (R) Version 3.0 Abbreviated Prolog)
%%Version: 1.0
%%CreationDate: (7/22/89) ()
%%Copyright: ((C) 1987-1990 Adobe Systems Incorporated All Rights Reserved)

currentpacking true setpacking
userdict /Adobe_IllustratorA_AI3 61 dict dup begin put
% initialization
/initialize				% - initialize -
{
% 47 vars, but leave slack of 10 entries for custom Postscript fragments
userdict /Adobe_IllustratorA_AI3_vars 57 dict dup begin put

% paint operands
/_lp /none def
/_pf {} def
/_ps {} def
/_psf {} def
/_pss {} def
/_pjsf {} def
/_pjss {} def
/_pola 0 def
/_doClip 0 def

% paint operators
/cf	currentflat def	% - cf flatness

% typography operands
/_tm matrix def
/_renderStart [/e0 /r0 /a0 /o0 /e1 /r1 /a1 /i0] def
/_renderEnd [null null null null /i1 /i1 /i1 /i1] def
/_render -1 def
/_rise 0 def
/_ax 0 def			% x character spacing	(_ax, _ay, _cx, _cy follows awidthshow
%%naming convention)
/_ay 0 def			% y character spacing
/_cx 0 def			% x word spacing
/_cy 0 def			% y word spacing
/_leading [0 0] def
/_ctm matrix def
/_mtx matrix def
/_sp 16#020 def
/_hyphen (-) def
/_fScl 0 def
/_cnt 0 def
/_hs 1 def
/_nativeEncoding 0 def
/_useNativeEncoding 0 def
/_tempEncode 0 def
/_pntr 0 def
/_tDict 2 dict def

% typography operators
/Tx {} def
/Tj {} def

% compound path operators
/CRender {} def

% printing
/_AI3_savepage {} def

% color operands
/_gf null def
/_cf 4 array def
/_if null def
/_of false def
/_fc {} def
/_gs null def
/_cs 4 array def
/_is null def
/_os false def
/_sc {} def
/_i null def
Adobe_IllustratorA_AI3 begin
Adobe_IllustratorA_AI3
	{
	dup xcheck
		{
		bind
		} if
	pop pop
	} forall
end
end
Adobe_IllustratorA_AI3 begin
Adobe_IllustratorA_AI3_vars begin
newpath
} def
/terminate				% - terminate -
{
end
end
} def
% definition operators
/_					% - _ null
null def
/ddef				% key value ddef -
{
Adobe_IllustratorA_AI3_vars 3 1 roll put
} def
/xput				% key value literal xput -
{
dup load dup length exch maxlength eq
	{
	dup dup load dup
	length 2 mul dict copy def
	} if
load begin def end
} def
/npop				% integer npop -
{
	{
	pop
	} repeat
} def
% marking operators
/sw					% ax ay string sw x y
{
dup length exch stringwidth
exch 5 -1 roll 3 index 1 sub mul add
4 1 roll 3 1 roll 1 sub mul add
} def
/swj				% cx cy fillchar ax ay string swj x y
{
dup 4 1 roll
dup length exch stringwidth
exch 5 -1 roll 3 index 1 sub mul add
4 1 roll 3 1 roll 1 sub mul add
6 2 roll /_cnt 0 ddef
{1 index eq {/_cnt _cnt 1 add ddef} if} forall pop
exch _cnt mul exch _cnt mul 2 index add 4 1 roll 2 index add 4 1 roll pop pop
} def
/ss					% ax ay string matrix ss -
{
4 1 roll
	{				% matrix ax ay char 0 0 {proc} -
	2 npop
	(0) exch 2 copy 0 exch put pop
	gsave
	false charpath currentpoint
	4 index setmatrix
	stroke
	grestore
	moveto
	2 copy rmoveto
	} exch cshow
3 npop
} def
/jss				% cx cy fillchar ax ay string matrix jss -
{
4 1 roll
	{				% cx cy fillchar matrix ax ay char 0 0 {proc} -
	2 npop
	(0) exch 2 copy 0 exch put
	gsave
	_sp eq
		{
		exch 6 index 6 index 6 index 5 -1 roll widthshow
		currentpoint
		}
		{
		false charpath currentpoint
		4 index setmatrix stroke
		}ifelse
	grestore
	moveto
	2 copy rmoveto
	} exch cshow
6 npop
} def

% path operators
/sp					% ax ay string sp -
{
	{
	2 npop (0) exch
	2 copy 0 exch put pop
	false charpath
	2 copy rmoveto
	} exch cshow
2 npop
} def
/jsp					% cx cy fillchar ax ay string jsp -
{
	{					% cx cy fillchar ax ay char 0 0 {proc} -
	2 npop
	(0) exch 2 copy 0 exch put
	_sp eq
		{
		exch 5 index 5 index 5 index 5 -1 roll widthshow
		}
		{
		false charpath
		}ifelse
	2 copy rmoveto
	} exch cshow
5 npop
} def

% path construction operators
/pl				% x y pl x y
{
transform
0.25 sub round 0.25 add exch
0.25 sub round 0.25 add exch
itransform
} def
/setstrokeadjust where
	{
	pop true setstrokeadjust
	/c				% x1 y1 x2 y2 x3 y3 c -
	{
	curveto
	} def
	/C
	/c load def
	/v				% x2 y2 x3 y3 v -
	{
	currentpoint 6 2 roll curveto
	} def
	/V
	/v load def
	/y				% x1 y1 x2 y2 y -
	{
	2 copy curveto
	} def
	/Y
	/y load def
	/l				% x y l -
	{
	lineto
	} def
	/L
	/l load def
	/m				% x y m -
	{
	moveto
	} def
	}
	{%else
	/c
	{
	pl curveto
	} def
	/C
	/c load def
	/v
	{
	currentpoint 6 2 roll pl curveto
	} def
	/V
	/v load def
	/y
	{
	pl 2 copy curveto
	} def
	/Y
	/y load def
	/l
	{
	pl lineto
	} def
	/L
	/l load def
	/m
	{
	pl moveto
	} def
	}ifelse

% graphic state operators
/d					% array phase d -
{
setdash
} def
/cf	{} def			% - cf flatness
/i					% flatness i -
{
dup 0 eq
	{
	pop cf
	} if
setflat
} def
/j					% linejoin j -
{
setlinejoin
} def
/J					% linecap J -
{
setlinecap
} def
/M					% miterlimit M -
{
setmiterlimit
} def
/w					% linewidth w -
{
setlinewidth
} def

% path painting operators
/H					% - H -
{} def
/h					% - h -
{
closepath
} def
/N					% - N -
{
_pola 0 eq
	{
	_doClip 1 eq {clip /_doClip 0 ddef} if
	newpath
	}
	{
	/CRender {N} ddef
	}ifelse
} def
/n					% - n -
{N} def
/F					% - F -
{
_pola 0 eq
	{
	_doClip 1 eq
		{
		gsave _pf grestore clip newpath /_lp /none ddef _fc
		/_doClip 0 ddef
		}
		{
		_pf
		}ifelse
	}
	{
	/CRender {F} ddef
	}ifelse
} def
/f					% - f -
{
closepath
F
} def
/S					% - S -
{
_pola 0 eq
	{
	_doClip 1 eq
		{
		gsave _ps grestore clip newpath /_lp /none ddef _sc
		/_doClip 0 ddef
		}
		{
		_ps
		}ifelse
	}
	{
	/CRender {S} ddef
	}ifelse
} def
/s					% - s -
{
closepath
S
} def
/B					% - B -
{
_pola 0 eq
	{
	_doClip 1 eq 	% F clears _doClip
	gsave F grestore
		{
		gsave S grestore clip newpath /_lp /none ddef _sc
		/_doClip 0 ddef
		}
		{
		S
		}ifelse
	}
	{
	/CRender {B} ddef
	}ifelse
} def
/b					% - b -
{
closepath
B
} def
/W					% - W -
{
/_doClip 1 ddef
} def
/*					% - [string] * -
{
count 0 ne
	{
	dup type (stringtype) eq {pop} if
	} if
_pola 0 eq {newpath} if
} def

% group operators
/u					% - u -
{} def
/U					% - U -
{} def
/q					% - q -
{
_pola 0 eq {gsave} if
} def
/Q					% - Q -
{
_pola 0 eq {grestore} if
} def
/*u					% - *u -
{
_pola 1 add /_pola exch ddef
} def
/*U					% - *U -
{
_pola 1 sub /_pola exch ddef
_pola 0 eq {CRender} if
} def
/D					% polarized D -
{pop} def
/*w					% - *w -
{} def
/*W					% - *W -
{} def

% place operators
/`					% matrix llx lly urx ury string ` -
{
/_i save ddef
6 1 roll 4 npop
concat
userdict begin
/showpage {} def
false setoverprint
pop
} def
/~					% - ~ -
{
end
_i restore
} def

% color operators
/O					% flag O -
{
0 ne
/_of exch ddef
/_lp /none ddef
} def
/R					% flag R -
{
0 ne
/_os exch ddef
/_lp /none ddef
} def
/g					% gray g -
{
/_gf exch ddef
/_fc
{
_lp /fill ne
	{
	_of setoverprint
	_gf setgray
	/_lp /fill ddef
	} if
} ddef
/_pf
{
_fc
fill
} ddef
/_psf
{
_fc
ashow
} ddef
/_pjsf
{
_fc
awidthshow
} ddef
/_lp /none ddef
} def
/G					% gray G -
{
/_gs exch ddef
/_sc
{
_lp /stroke ne
	{
	_os setoverprint
	_gs setgray
	/_lp /stroke ddef
	} if
} ddef
/_ps
{
_sc
stroke
} ddef
/_pss
{
_sc
ss
} ddef
/_pjss
{
_sc
jss
} ddef
/_lp /none ddef
} def
/k					% cyan magenta yellow black k -
{
_cf astore pop
/_fc
{
_lp /fill ne
	{
	_of setoverprint
	_cf aload pop setcmykcolor
	/_lp /fill ddef
	} if
} ddef
/_pf
{
_fc
fill
} ddef
/_psf
{
_fc
ashow
} ddef
/_pjsf
{
_fc
awidthshow
} ddef
/_lp /none ddef
} def
/K					% cyan magenta yellow black K -
{
_cs astore pop
/_sc
{
_lp /stroke ne
	{
	_os setoverprint
	_cs aload pop setcmykcolor
	/_lp /stroke ddef
	} if
} ddef
/_ps
{
_sc
stroke
} ddef
/_pss
{
_sc
ss
} ddef
/_pjss
{
_sc
jss
} ddef
/_lp /none ddef
} def
/x					% cyan magenta yellow black name gray x -
{
/_gf exch ddef
findcmykcustomcolor
/_if exch ddef
/_fc
{
_lp /fill ne
	{
	_of setoverprint
	_if _gf 1 exch sub setcustomcolor
	/_lp /fill ddef
	} if
} ddef
/_pf
{
_fc
fill
} ddef
/_psf
{
_fc
ashow
} ddef
/_pjsf
{
_fc
awidthshow
} ddef
/_lp /none ddef
} def
/X					% cyan magenta yellow black name gray X -
{
/_gs exch ddef
findcmykcustomcolor
/_is exch ddef
/_sc
{
_lp /stroke ne
	{
	_os setoverprint
	_is _gs 1 exch sub setcustomcolor
	/_lp /stroke ddef
	} if
} ddef
/_ps
{
_sc
stroke
} ddef
/_pss
{
_sc
ss
} ddef
/_pjss
{
_sc
jss
} ddef
/_lp /none ddef
} def

% locked object operator
/A					% value A -
{
pop
} def

currentdict readonly pop end
setpacking

% annotate page operator
/annotatepage
{
} def
%%EndResource
%AI3-Grid.0 18 18 3 0 0 0 3
%%EndProlog
%%BeginSetup
%%IncludeFont: Courier
%%IncludeFont: Helvetica
%%IncludeFont: ZapfChancery-MediumItalic
Adobe_cmykcolor /initialize get exec

Adobe_cshow /initialize get exec

Adobe_customcolor /initialize get exec

Adobe_typography_AI3 /initialize get exec


Adobe_IllustratorA_AI3 /initialize get exec

[
129/Agrave/Aacute/Acircumflex/Atilde/Adieresis/Aring/Ccedilla
/Egrave/Eacute/Ecircumflex/Edieresis/Igrave/Iacute/Icircumflex
/Idieresis/Eth/Ntilde/Ograve/Oacute/Ocircumflex/Otilde/Odieresis
/Ugrave/Uacute/Ucircumflex/Udieresis/Yacute/Thorn/mu/multiply
/divide/copyright 176/registered 181/brokenbar 190/logicalnot
192/onesuperior 201/twosuperior 204/threesuperior 209/plusminus
/onequarter/onehalf/threequarters/agrave/aacute/acircumflex
/atilde/adieresis/aring/ccedilla/egrave/eacute/ecircumflex
/edieresis/igrave 226/iacute 228/icircumflex/idieresis/eth/ntilde
236/ograve/oacute/ocircumflex/otilde/odieresis 242/ugrave/uacute
/ucircumflex 246/udieresis/yacute 252/thorn/ydieresis
TE
%AI3_BeginEncoding: _Courier Courier
[/_Courier/Courier 0 0 1 TZ
%AI3_EndEncoding
%AI3_BeginEncoding: _Helvetica Helvetica
[/_Helvetica/Helvetica 0 0 1 TZ
%AI3_EndEncoding
%AI3_BeginEncoding: _ZapfChancery-MediumItalic ZapfChancery-MediumItalic
[/_ZapfChancery-MediumItalic/ZapfChancery-MediumItalic 0 0 1 TZ
%AI3_EndEncoding
%%EndSetup
userdict /Next_printPackage 80 dict dup begin put
%%NXNextStepVersion: 3.0
%%EndComments

%%BeginProcSet: /usr/lib/NextStep/printPackage.ps 3.0
%!
% NeXT Printing Package
% Version: 3.0
% Copyright: 1988, NeXT, Inc.

/__NXdef{1 index where{pop pop pop}{def}ifelse}bind def
/__NXbdef{1 index where{pop pop pop}{bind def}ifelse}bind def
/UserObjects 10 array __NXdef
/defineuserobject{
	exch dup 1 add dup UserObjects length gt{
		array dup 0 UserObjects putinterval
		/UserObjects exch def
	}{pop}ifelse UserObjects exch 3 -1 roll put
}__NXbdef
/undefineuserobject{UserObjects exch null put}__NXbdef
/execuserobject{UserObjects exch get exec}__NXbdef
/__NXRectPath{4 2 roll moveto 1 index 0 rlineto
0 exch rlineto neg 0 rlineto closepath}__NXbdef
/__NXProcessRectArgs{
	1 index type /arraytype eq{
		exch 0 4 2 index length 1 sub{
			dup 3 add 1 exch{1 index exch get exch}for
			5 1 roll 5 index exec
		}for pop pop
	}{exec}ifelse
}__NXbdef
/rectfill{gsave newpath {__NXRectPath fill} __NXProcessRectArgs
grestore}__NXbdef
/rectclip{newpath {__NXRectPath} __NXProcessRectArgs clip newpath}__NXbdef
/rectstroke{
	gsave newpath dup type /arraytype eq{dup length 6 eq}{false}ifelse{
		{gsave __NXRectPath null concat stroke grestore}
		dup length array cvx copy dup 2 4 -1 roll put __NXProcessRectArgs
	}{{__NXRectPath stroke} __NXProcessRectArgs}ifelse grestore
}__NXbdef
/_NXLevel2 systemdict /languagelevel known {languagelevel 2 ge}{false}ifelse
__NXdef
/xyshow{
	0 1 3 index length 1 sub{
		currentpoint 4 index 3 index 1 getinterval show
		3 index 3 index 2 mul 1 add get add exch
		3 index	3 index 2 mul get add exch moveto pop
	}for pop pop
}__NXbdef
/xshow{
	0 1 3 index length 1 sub{
		currentpoint 4 index 3 index 1 getinterval show
		exch 3 index 3 index get add exch moveto pop
	}for pop pop
}__NXbdef
/yshow{
	0 1 3 index length 1 sub{
		currentpoint 4 index 3 index 1 getinterval show
		3 index 3 index get add moveto pop
	}for pop pop
}__NXbdef
/arct{arcto pop pop pop pop}__NXbdef
/setbbox{pop pop pop pop}__NXbdef
/ucache{}__NXbdef
/ucachestatus{mark 0 0 0 0 0}__NXbdef
/setucacheparams{cleartomark}__NXbdef
/uappend{systemdict begin cvx exec end}__NXbdef
/ueofill{gsave newpath uappend eofill grestore}__NXbdef
/ufill{gsave newpath uappend fill grestore}__NXbdef
/ustroke{
	gsave newpath dup length 6 eq
	{exch uappend concat}{uappend}ifelse
	stroke grestore
}__NXbdef
/__NXustrokepathMatrix dup where {pop pop}{matrix def}ifelse
/ustrokepath{
	newpath dup length 6 eq{
		exch uappend __NXustrokepathMatrix currentmatrix exch concat
		strokepath setmatrix
	}{uappend strokepath}ifelse
} __NXbdef
/upath{
	[exch {/ucache cvx}if pathbbox /setbbox cvx
	 {/moveto cvx}{/lineto cvx}{/curveto cvx}{/closepath cvx}pathforall]cvx
} __NXbdef
/setstrokeadjust{pop}__NXbdef
/currentstrokeadjust{false}__NXbdef
/selectfont{exch findfont exch
dup type /arraytype eq {makefont}{scalefont}ifelse setfont}__NXbdef
/_NXCombineArrays{
	counttomark dup 2 add index dup length 3 -1 roll {
		2 index length sub dup 4 1 roll 1 index exch 4 -1 roll putinterval exch
	}repeat pop pop pop
}__NXbdef
/flushgraphics{}def
/setwindowtype{pop pop}def
/currentwindowtype{pop 0}def
/setalpha{pop}def
/currentalpha{1.0}def
/hidecursor{}def
/obscurecursor{}def
/revealcursor{}def
/setcursor{4 {pop}repeat}bind def
/showcursor{}def
/NextStepEncoding where not{
/NextStepEncoding StandardEncoding 256 array copy def
0 [129/Agrave/Aacute/Acircumflex/Atilde/Adieresis/Aring/Ccedilla/Egrave
/Eacute/Ecircumflex/Edieresis/Igrave/Iacute/Icircumflex/Idieresis
/Eth/Ntilde/Ograve/Oacute/Ocircumflex/Otilde/Odieresis/Ugrave/Uacute
/Ucircumflex/Udieresis/Yacute/Thorn/mu/multiply/divide/copyright
176/registered 181/brokenbar 190/logicalnot 192/onesuperior 201/twosuperior
204/threesuperior 209/plusminus/onequarter/onehalf/threequarters/agrave
/aacute/acircumflex/atilde/adieresis/aring/ccedilla/egrave/eacute
/ecircumflex/edieresis/igrave 226/iacute 228/icircumflex/idieresis/eth
/ntilde 236/ograve/oacute/ocircumflex/otilde/odieresis 242/ugrave/uacute
/ucircumflex 246/udieresis/yacute 252/thorn/ydieresis]
{dup type /nametype eq
 {NextStepEncoding 2 index 2 index put pop 1 add}{exch pop}ifelse
}forall pop
/NextStepEncoding NextStepEncoding readonly def
/_NXfstr 128 string dup 0 (_NX) putinterval def
/_NXfindfont /findfont load def
/findfont{
 % Because we can never let NextStepEncoding get into
 % SharedFontDirectory, we cannot reencode a font to NextStepEncoding
 % if we are in shared mode.  So if currentshared is true,
 % we call the normal findfont and return that
 /currentshared where {pop currentshared} {false} ifelse
 {_NXfindfont}
 {dup _NXfstr 3 125 getinterval cvs length 3 add _NXfstr 0 3 -1 roll
  getinterval cvn exch FontDirectory 2 index known
  {pop FontDirectory exch get}
  {_NXfindfont dup /Encoding get StandardEncoding eq
   {	dup length dict exch
	{1 index /FID ne {2 index 3 1 roll put}{pop pop}ifelse}forall
	 dup /Encoding NextStepEncoding put definefont
	}{exch pop} ifelse
   }ifelse
 }ifelse
}bind def
}{pop}ifelse
/_NXImageString {/__NXImageString where{pop}{/__NXImageString 4000 string
__NXdef}ifelse __NXImageString}__NXbdef
/_NXDoImageOp{
	3 dict begin /parr 5 array def 1 index{dup}{1}ifelse /chans exch def
	chans 2 add 2 roll parr 0 chans getinterval astore pop
	5 index 4 index mul 2 index{1 sub 8 idiv 1 add mul}{mul 1 sub 8 idiv 1
add}ifelse
	4 index mul /totbytes exch def pop exch pop
	gsave matrix invertmatrix concat 0.5 setgray 0 0 4 2 roll rectfill grestore
	{0 1 chans 1 sub{parr exch get exec length totbytes exch sub /totbytes exch
def}for totbytes 0 le{exit}if}loop end
}__NXbdef
/alphaimage{1 add _NXDoImageOp}def
_NXLevel2{
	/NXCalibratedRGBColorSpace where{pop}{
		/NXCalibratedRGBColorSpace
		{mark /NXCalibratedRGB /ColorSpace findresource exch pop}stopped
		{cleartomark /NXCalibratedRGB[/CIEBasedABC 2 dict dup begin
		/MatrixLMN[.4124 .2126 .0193 .3576 .7152 .1192 .1805 .0722 .9505]def
		/WhitePoint[.9505 1 1.089] def end] /ColorSpace defineresource}if def}ifelse
	/nxsetrgbcolor{NXCalibratedRGBColorSpace setcolorspace setcolor}__NXbdef
	/nxsetgray{dup dup nxsetrgbcolor}__NXbdef
	/_NXCalibratedImage{exch{array astore dup length true}{false}ifelse
		8 -1 roll{NXCalibratedRGBColorSpace setcolorspace}if
		8 dict dup 9 1 roll begin /ImageType 1 def /MultipleDataSources exch def
		currentcolorspace 0 get /Indexed eq{pop /Decode[0 2 6 index exp 1 sub]def}
		{2 mul dup array /Decode exch def 1 sub 0 1 3 -1 roll{Decode exch dup 2 mod
put}for}ifelse
		/DataSource exch def /ImageMatrix exch def
		/BitsPerComponent exch def /Height exch def /Width exch def end
image}__NXbdef
} {
	/setcmykcolor{
		1.0 exch sub dup dup 6 -1 roll sub dup 0 lt{pop 0}if 5 1 roll
		4 -1 roll sub dup 0 lt{pop 0}if 3 1 roll exch sub dup 0 lt{pop 0}if
setrgbcolor}__NXbdef
	/currentcmykcolor{currentrgbcolor 3{1.0 exch sub 3 1 roll}repeat 0}__NXbdef
	/colorimage{_NXDoImageOp}__NXbdef
	/nxsetrgbcolor{setrgbcolor}__NXbdef /nxsetgray{setgray}__NXbdef
	/setpattern{pop .5 setgray}__NXbdef
	/_NXCalibratedImage{dup 1 eq {pop pop image}{colorimage}ifelse pop}__NXbdef
} ifelse
/_NXSetCMYKOrRGB where{pop}{
	mark{systemdict /currentwindow get exec}stopped
	{{pop pop pop setcmykcolor}}{{nxsetrgbcolor pop pop pop pop}}ifelse
/_NXSetCMYKOrRGB exch def cleartomark
}ifelse
%%EndProcSet

_NXLevel2{/_NXsethsb where{pop}{/_NXsethsb /sethsbcolor load def}ifelse
/sethsbcolor{_NXsethsb currentrgbcolor nxsetrgbcolor}def
/setrgbcolor{nxsetrgbcolor}bind def /setgray{nxsetgray}bind def
}if
gsave
317 511 translate
 /__NXbasematrix matrix currentmatrix def
grestore
%%EndProlog

%%Page: 1 1
%%PageBoundingBox: 0 0 612 792
%%PageFonts: (atend)
%%BeginPageSetup
%%PaperSize: Letter
/__NXsheetsavetoken save def
0 0 translate
gsave
317 511 translate
 /__NXbasematrix matrix currentmatrix def
grestore
gsave
30 31 translate
1 1 scale
%%EndPageSetup
gsave
-30 -31 612 792 rectclip
/Courier findfont 1 scalefont [1 0 0 -1 0 0] makefont
121
exch
defineuserobject
121 execuserobject setfont
121 execuserobject setfont
121 execuserobject setfont
121 execuserobject setfont
121 execuserobject setfont
121 execuserobject setfont
121 execuserobject setfont
121 execuserobject setfont
121 execuserobject setfont
121 execuserobject setfont
121 execuserobject setfont
121 execuserobject setfont
121 execuserobject setfont
121 execuserobject setfont
121 execuserobject setfont
121 execuserobject setfont
121 execuserobject setfont
121 execuserobject setfont
121 execuserobject setfont
121 execuserobject setfont
121 execuserobject setfont
121 execuserobject setfont
121 execuserobject setfont
121 execuserobject setfont
121 execuserobject setfont
121 execuserobject setfont
121 execuserobject setfont
121 execuserobject setfont
/Helvetica findfont 1 scalefont [1 0 0 -1 0 0] makefont
62
exch
defineuserobject
62 execuserobject setfont
62 execuserobject setfont
62 execuserobject setfont
62 execuserobject setfont
62 execuserobject setfont
62 execuserobject setfont
/ZapfChancery-MediumItalic findfont 1 scalefont [1 0 0 -1 0 0] makefont
122
exch
defineuserobject
122 execuserobject setfont
122 execuserobject setfont
62 execuserobject setfont
62 execuserobject setfont
62 execuserobject setfont
62 execuserobject setfont
62 execuserobject setfont
122 execuserobject setfont
122 execuserobject setfont
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(d=2) Tx
(\r) TX
TO
annotatepage
grestore
grestore
showpage
__NXsheetsavetoken restore
%%PageTrailer
%%DocumentFonts: ZapfChancery-MediumItalic
%%+ Courier
%%+ Helvetica
end %Next_printPackage
%%Trailer
Adobe_IllustratorA_AI3 /terminate get exec

Adobe_typography_AI3 /terminate get exec


Adobe_customcolor /terminate get exec

Adobe_cshow /terminate get exec

Adobe_cmykcolor /terminate get exec

Adobe_packedarray /terminate get exec

%%EOF



