diff --git a/docs/pdf/building.tex b/docs/pdf/building.tex index e3139507..71091b4a 100644 --- a/docs/pdf/building.tex +++ b/docs/pdf/building.tex @@ -11,8 +11,11 @@ MLD2P4 is implemented almost entirely in Fortran~95, with some interfaces to external libraries in C; we require the Fortran compiler to support the Fortran~95 standard plus the extension TR15581, which enhances the usability of \verb|ALLOCATABLE| variables. Most modern -Fortran compilers, including the GNU Fortran compiler, support this -language level. The software defines data types and interfaces for +Fortran compilers support this language level. In particular, this is +supported by the GNU Fortran compiler as of version 4.2.0; however we +recommend to use the latest available release (4.3.1 at the time of +this writing). +The software defines data types and interfaces for real and complex data, in both single and double precision. \subsection{Prerequisites} @@ -22,12 +25,13 @@ The following base libraries are needed: optimized versions; if no vendor version is available for a given platform, the ATLAS software \verb!http://www.netlib.org/atlas! may be employed. The reference BLAS from Netlib - \verb|htt://www.netlib.org/blas| are meant to define the standard + \verb|http://www.netlib.org/blas| are meant to define the standard behaviour of the BLAS interface, so they not optimized for any - particular plaftorm, and they should only be used as a last - resort; note that BLAS computation form a relatively small part of - the MLD2P4/PSBLAS computations, except when using preconditioners - based on the UMFPACK or SuperLU third party libraries. + particular plaftorm, and should only be used as a last + resort. Note that BLAS computation form a relatively small part of + the MLD2P4/PSBLAS computations; they are however critical when using + preconditioners based on the UMFPACK or SuperLU third party + libraries. \item[MPI] A version of MPI is available on most high performance computing system; we only require version 1.1. \item[BLACS] The Basic Linear Algebra Communication Subroutines are @@ -52,12 +56,182 @@ compiler. \subsection{Optional third party libraries} - - software `third party" (UMFPACK, SuperLU, SuperLUdist - specificare versioni e opzioni di - configure, dire che UMFPACK e SuperLU sono richiesti, rispettivamente, dalle versioni in - singola ed in doppia precisione.)\\ +We provide interfaces to the following third-party software libraries; +note that these are optional, but if you enable them some defaults +for multilevel preconditioners may change to reflect their presence. + +\begin{description} +\item[UMFPACK] A sparse direct factorization package available from\\ + \verb|http://www.cise.ufl.edu/research/sparse/umfpack/|; + provides serial factorization and solution for double + precision real and complex double precision data. We have tested + versions 4.4 and 5.1; +\item[SuperLU] A sparse direct factorization package available from \\ + \verb|http://crd.lbl.gov/~xiaoye/SuperLU/|; provides serial + factorization and solution for single and double precision real and + complex data. We have tested versions 3.0 and 3.1. +\item[SuperLU\_Dist] A sparse direct factorization package available + from the same site as SuperLU; provides parallel factorization and + solution for real and complex double precision data. We have tested + version 2.1. +\end{description} + \subsection{Configuration options} - - sistemi operativi e compilatori su cui MLD2P4 e' stato - implementato con successo \\ - - sono previste opzioni di configurazione per il debugging o per il profiling? \\ - - albero delle directory generato al momento dell'installazione, con brevissima - descrizione del contenuto delle directory - aggiungere la directory \texttt{examples}\\ + +To build MLD2P4 the first step is to use the \verb|configure| script +in the main directory to generate the necessary makefile(s). + +As a minimal example consider the following: +\begin{verbatim} +./configure --with-psblas=/home/user/PSBLAS/psblas-2.3 +\end{verbatim} +This assumes that the various MPI compilers and support libraries are +available in the standard directories on the system. Note that the +PSBLAS build directory must be specified with an {\em absolute} path. +The full set of options may be looked at by issuing the command +\verb|./configure --help|, which produces: +\begin{verbatim} +`configure' configures MLD2P4 1.0 to adapt to many kinds of systems. + +Usage: ./configure [OPTION]... [VAR=VALUE]... + +To assign environment variables (e.g., CC, CFLAGS...), specify them as +VAR=VALUE. See below for descriptions of some of the useful variables. + +Defaults for the options are specified in brackets. + +Configuration: + -h, --help display this help and exit + --help=short display options specific to this package + --help=recursive display the short help of all the included packages + -V, --version display version information and exit + -q, --quiet, --silent do not print `checking...' messages + --cache-file=FILE cache test results in FILE [disabled] + -C, --config-cache alias for `--cache-file=config.cache' + -n, --no-create do not create output files + --srcdir=DIR find the sources in DIR [configure dir or `..'] + +Installation directories: + --prefix=PREFIX install architecture-independent files in PREFIX + [/usr/local] + --exec-prefix=EPREFIX install architecture-dependent files in EPREFIX + [PREFIX] + +By default, `make install' will install all the files in +`/usr/local/bin', `/usr/local/lib' etc. You can specify +an installation prefix other than `/usr/local' using `--prefix', +for instance `--prefix=$HOME'. + +For better control, use the options below. + +Fine tuning of the installation directories: + --bindir=DIR user executables [EPREFIX/bin] + --sbindir=DIR system admin executables [EPREFIX/sbin] + --libexecdir=DIR program executables [EPREFIX/libexec] + --sysconfdir=DIR read-only single-machine data [PREFIX/etc] + --sharedstatedir=DIR modifiable architecture-independent data [PREFIX/com] + --localstatedir=DIR modifiable single-machine data [PREFIX/var] + --libdir=DIR object code libraries [EPREFIX/lib] + --includedir=DIR C header files [PREFIX/include] + --oldincludedir=DIR C header files for non-gcc [/usr/include] + --datarootdir=DIR read-only arch.-independent data root [PREFIX/share] + --datadir=DIR read-only architecture-independent data [DATAROOTDIR] + --infodir=DIR info documentation [DATAROOTDIR/info] + --localedir=DIR locale-dependent data [DATAROOTDIR/locale] + --mandir=DIR man documentation [DATAROOTDIR/man] + --docdir=DIR documentation root [DATAROOTDIR/doc/mld2p4] + --htmldir=DIR html documentation [DOCDIR] + --dvidir=DIR dvi documentation [DOCDIR] + --pdfdir=DIR pdf documentation [DOCDIR] + --psdir=DIR ps documentation [DOCDIR] + +Optional Packages: + --with-PACKAGE[=ARG] use PACKAGE [ARG=yes] + --without-PACKAGE do not use PACKAGE (same as --with-PACKAGE=no) + --with-psblas The source directory for PSBLAS, for example, + --with-psblas=/opt/packages/psblas-2.2 + --with-libs List additional libraries here. For example, + --with-libs=-lsuperlu or + --with-libs=/path/libsuperlu.a + --with-clibs additional CLIBS flags to be added: will prepend + to CLIBS + --with-flibs additional FLIBS flags to be added: will prepend + to FLIBS + --with-library-path additional LIBRARYPATH flags to be added: will + prepend to LIBRARYPATH + --with-include-path additional INCLUDEPATH flags to be added: will + prepend to INCLUDEPATH + --with-module-path additional MODULE_PATH flags to be added: will + prepend to MODULE_PATH + --with-umfpack=LIBNAME Specify the library name for UMFPACK library. + Default: "-lumfpack -lamd" + --with-umfpackdir=DIR Specify the directory for UMFPACK library and + includes. + --with-superlu=LIBNAME Specify the library name for SUPERLU library. + Default: "-lslu" + --with-superludir=DIR Specify the directory for SUPERLU library and + includes. + --with-superludist=LIBNAME + Specify the libname for SUPERLUDIST library. + Requires you also specify SuperLU. Default: "-lslud" + --with-superludistdir=DIR + Specify the directory for SUPERLUDIST library and + includes. + +Some influential environment variables: + FC Fortran compiler command + FCFLAGS Fortran compiler flags + LDFLAGS linker flags, e.g. -L if you have libraries in a + nonstandard directory + LIBS libraries to pass to the linker, e.g. -l + CC C compiler command + CFLAGS C compiler flags + CPPFLAGS C/C++/Objective C preprocessor flags, e.g. -I if + you have headers in a nonstandard directory + CPP C preprocessor + MPICC MPI C compiler command + +Use these variables to override the choices made by `configure' or to help +it to find libraries and programs with nonstandard names/locations. + +Report bugs to . +\end{verbatim} +Thus, a sample build with libraries in installation +directories specifics to the GNU 4.3 compiler suite might be as +follows, specifying only the UMFPACK external package: +\begin{verbatim} + ./configure --with-psblas=/home/user/psblas-2.3/ \ + --with-libs="-L/usr/local/BLAS/gnu43 -L/usr/local/BLACS/gnu43" \ + --with-blacs=-lmpiblacs --with-umfpackdir=/usr/local/UMFPACK/gnu43 +\end{verbatim} +Once the configure script has completed execution, it will have +generated the file \verb|Make.inc| which will then be used by all +Makefiles in the directory tree. + +To build the library the user will now enter +\begin{verbatim} +make +\end{verbatim} +followed (optionally) by +\begin{verbatim} +make install +\end{verbatim} + +\subsection{Example and test programs} +The package contains the \verb|examples| and \verb|tests| directories; +both of them are further divided into \verb|fileread| and +\verb|pargen| subdirectories. Their purpose is as follows: +\begin{description} +\item[\tt examples] contains a set of simple example programs with a + predefined choice of preconditioners, selectable via integer + values. These are intended to get an acquaintance with the + multilevel preconditioners. +\item[\tt test] contains a set of more sophisticated examples that + will allow the user, via the input files in the \verb|runs| + subdirectories, to experiment with the full range of preconditioners + implemented in the library. +\end{description} +The \verb|fileread| directories contain sample programs that read +sparse matrices from files, according to the Matrix Market storage +format; the \verb|pargen| instead generate matrices in full parallel +mode from the discretization of a sample PDE. diff --git a/docs/pdf/distribution.tex b/docs/pdf/distribution.tex index c8911fdc..45e8f86c 100644 --- a/docs/pdf/distribution.tex +++ b/docs/pdf/distribution.tex @@ -13,4 +13,5 @@ bug reports. The software is available under a modified BSD license, as specified in appendix~\ref{sec:license}; please note that some of the optional third party libraries may be licensed under a different and more -stringent license. +stringent license, most notably the GPL, and this should be taken into +account when treating derived works. diff --git a/docs/pdf/errors.tex b/docs/pdf/errors.tex index 28fb8f40..72d4351c 100644 --- a/docs/pdf/errors.tex +++ b/docs/pdf/errors.tex @@ -2,8 +2,17 @@ \markboth{\textsc{MLD2P4 User's and Reference Guide}} {\textsc{\ref{sec:errors} Error handling}} -Error handling - - Breve descrizione con rinvio alla guida di PSBLAS +The error handling in MLD2P4 is based on the PSBLAS version 2 error +handling. Error conditions are signaled via an integer argument +\verb|info|; whenever an error condition is detected, an error trace +stack is built by the library up to the top-level, user-callable +routine. This routine will then decide, according to the user +preferences, whether the error should be handled by terminating the +program or by returning the error condition to the user code, which +will then take action, and whether +an error message should be printed. These options may be set by using +the PSBLAS error handling routines; for further details see the PSBLAS +user's guide. %%% Local Variables: %%% mode: latex diff --git a/docs/userguide.pdf b/docs/userguide.pdf index bb4ad627..fd106d0a 100644 --- a/docs/userguide.pdf +++ b/docs/userguide.pdf @@ -1,5 +1,4 @@ %PDF-1.4 -% 5 0 obj << /S /GoTo /D (title.0) >> endobj @@ -22,5289 +21,7866 @@ endobj << /S /GoTo /D (section.3) >> endobj 20 0 obj -(3 Configuring and Building MLD2P4) +(3 Code Distribution) endobj 21 0 obj << /S /GoTo /D (section.4) >> endobj 24 0 obj -(4 Multi-level Domain Decomposition Background) +(4 Configuring and Building MLD2P4) endobj 25 0 obj << /S /GoTo /D (subsection.4.1) >> endobj 28 0 obj -(4.1 Multi-level Schwarz Preconditioners) +(4.1 Prerequisites) endobj 29 0 obj << /S /GoTo /D (subsection.4.2) >> endobj 32 0 obj -(4.2 Smoothed Aggregation) +(4.2 Optional third party libraries) endobj 33 0 obj -<< /S /GoTo /D (section.5) >> +<< /S /GoTo /D (subsection.4.3) >> 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[(,)-309(obtained)-302(b)28(y)-303(including)-302(the)-303(v)28(ertices)-303(that)-303(are)-302(adjacen)28(t)-303(to)-303(an)28(y)-302(v)27(ertex)]TJ -53.811 -11.955 Td [(in)]TJ/F11 9.9626 Tf 11.623 0 Td [(W)]TJ/F10 6.9738 Tf 10.793 4.262 Td [(\016)]TJ/F13 6.9738 Tf 3.874 0 Td [(\000)]TJ/F7 6.9738 Tf 6.227 0 Td [(1)]TJ/F10 6.9738 Tf -11.485 -7.039 Td [(i)]TJ/F8 9.9626 Tf 15.954 2.777 Td [(.)]TJ -22.042 -13.854 Td [(Let)]TJ/F11 9.9626 Tf 19.15 0 Td [(n)]TJ/F10 6.9738 Tf 5.98 3.615 Td [(\016)]TJ 0 -6.209 Td [(i)]TJ/F8 9.9626 Tf 8.993 2.594 Td [(b)-28(e)-464(the)-463(size)-464(of)]TJ/F11 9.9626 Tf 66.138 0 Td [(W)]TJ/F10 6.9738 Tf 10.793 3.615 Td [(\016)]TJ -1.383 -6.209 Td [(i)]TJ/F8 9.9626 Tf 10.376 2.594 Td [(and)]TJ/F11 9.9626 Tf 20.672 0 Td [(R)]TJ/F10 6.9738 Tf 7.642 3.615 Td [(\016)]TJ -0.077 -6.209 Td [(i)]TJ/F14 9.9626 Tf 9.383 2.594 Td [(2)-495(<)]TJ/F10 6.9738 Tf 18.771 3.615 Td [(n)]TJ/F9 4.9813 Tf 4.925 3.006 Td [(\016)]TJ 0 -4.999 Td [(i)]TJ/F13 6.9738 Tf 3.918 1.993 Td [(\002)]TJ/F10 6.9738 Tf 6.226 0 Td [(n)]TJ/F8 9.9626 Tf 10.044 -3.615 Td [(the)-464(restriction)-464(op)-27(erator)-464(that)]TJ -216.495 -13.671 Td [(maps)-371(a)-370(v)27(ector)]TJ/F11 9.9626 Tf 65.404 0 Td [(v)]TJ/F14 9.9626 Tf 8.574 0 Td [(2)-340(<)]TJ/F10 6.9738 Tf 17.225 3.615 Td [(n)]TJ/F8 9.9626 Tf 9.116 -3.615 Td [(on)28(to)-371(the)-371(v)28(ector)]TJ/F11 9.9626 Tf 70.607 0 Td [(v)]TJ/F10 6.9738 Tf 5.186 3.615 Td [(\016)]TJ -0.357 -6.208 Td [(i)]TJ/F14 9.9626 Tf 8.117 2.593 Td [(2)-340(<)]TJ/F10 6.9738 Tf 17.225 3.615 Td [(n)]TJ/F9 4.9813 Tf 4.925 3.007 Td [(\016)]TJ 0 -4.999 Td [(i)]TJ/F8 9.9626 Tf 8.109 -1.623 Td [(con)28(taining)-371(the)-371(comp)-27(onen)27(ts)-370(of)]TJ/F11 9.9626 Tf -214.131 -11.955 Td [(v)]TJ/F8 9.9626 Tf 8.96 0 Td [(corresp)-28(onding)-378(to)-379(the)-379(v)28(ertices)-379(in)]TJ/F11 9.9626 Tf 143.319 0 Td [(W)]TJ/F10 6.9738 Tf 10.793 3.615 Td [(\016)]TJ -1.384 -6.208 Td [(i)]TJ/F8 9.9626 Tf 5.756 2.593 Td [(.)-581(The)-379(transp)-27(ose)-379(of)]TJ/F11 9.9626 Tf 86.431 0 Td [(R)]TJ/F10 6.9738 Tf 7.642 3.615 Td [(\016)]TJ -0.077 -6.208 Td [(i)]TJ/F8 9.9626 Tf 8.223 2.593 Td [(is)-379(a)-379(prol)1(o)-1(n)1(gation)]TJ -269.663 -13.671 Td [(op)-28(erator)-498(from)]TJ/F14 9.9626 Tf 67.015 0 Td [(<)]TJ/F10 6.9738 Tf 7.195 3.616 Td [(n)]TJ/F9 4.9813 Tf 4.925 3.006 Td [(\016)]TJ 0 -4.999 Td [(i)]TJ/F8 9.9626 Tf 9.377 -1.623 Td [(to)]TJ/F14 9.9626 Tf 13.818 0 Td [(<)]TJ/F10 6.9738 Tf 7.195 3.616 Td [(n)]TJ/F8 9.9626 Tf 5.423 -3.616 Td [(.)-939(The)-498(matrix)]TJ/F11 9.9626 Tf 68.285 0 Td [(A)]TJ/F10 6.9738 Tf 7.472 3.616 Td [(\016)]TJ 0 -6.209 Td [(i)]TJ/F8 9.9626 Tf 9.874 2.593 Td [(=)]TJ/F11 9.9626 Tf 13.25 0 Td [(R)]TJ/F10 6.9738 Tf 7.642 3.616 Td [(\016)]TJ -0.077 -6.209 Td [(i)]TJ/F11 9.9626 Tf 4.449 2.593 Td [(A)]TJ/F8 9.9626 Tf 7.472 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(R)]TJ/F10 6.9738 Tf 7.642 3.616 Td [(\016)]TJ -0.077 -6.209 Td [(i)]TJ/F8 9.9626 Tf 4.449 2.593 Td [(\051)]TJ/F10 6.9738 Tf 3.874 3.616 Td [(T)]TJ/F14 9.9626 Tf 11.779 -3.616 Td [(2)-552(<)]TJ/F10 6.9738 Tf 19.339 3.616 Td [(n)]TJ/F9 4.9813 Tf 4.924 3.006 Td [(\016)]TJ 0 -4.999 Td [(i)]TJ/F13 6.9738 Tf 3.918 1.993 Td [(\002)]TJ/F10 6.9738 Tf 6.227 0 Td [(n)]TJ/F9 4.9813 Tf 4.925 3.006 Td [(\016)]TJ 0 -4.999 Td [(i)]TJ/F8 9.9626 Tf 9.377 -1.623 Td [(can)-498(b)-28(e)]TJ -313.566 -11.955 Td [(considered)-333(as)-334(a)-333(restriction)-333(of)]TJ/F11 9.9626 Tf 128.38 0 Td [(A)]TJ/F8 9.9626 Tf 10.793 0 Td [(corresp)-28(onding)-333(to)-333(the)-334(set)]TJ/F11 9.9626 Tf 108.925 0 Td [(W)]TJ/F10 6.9738 Tf 10.793 3.615 Td [(\016)]TJ -1.384 -6.208 Td [(i)]TJ/F8 9.9626 Tf 5.756 2.593 Td [(.)]TJ -248.319 -11.955 Td [(The)]TJ/F17 9.9626 Tf 20.479 0 Td [(classic)51(al)-358(one-l)1(evel)-358(AS)]TJ/F8 9.9626 Tf 97.464 0 Td [(preconditioner)-333(is)-334(de\014ned)-333(b)28(y)]TJ/F11 9.9626 Tf -21.146 -29.348 Td [(M)]TJ/F13 6.9738 Tf 10.751 4.261 Td [(\000)]TJ/F7 6.9738 Tf 6.227 0 Td [(1)]TJ/F10 6.9738 Tf -7.313 -7.189 Td [(AS)]TJ/F8 9.9626 Tf 14.549 2.928 Td [(=)]TJ/F10 6.9738 Tf 14.177 12.453 Td [(m)]TJ/F1 9.9626 Tf -3.661 -2.989 Td [(X)]TJ/F10 6.9738 Tf 0.743 -21.219 Td [(i)]TJ/F7 6.9738 Tf 2.818 0 Td [(=1)]TJ/F8 9.9626 Tf 10.83 11.755 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(R)]TJ/F10 6.9738 Tf 7.642 4.113 Td [(\016)]TJ -0.077 -6.576 Td [(i)]TJ/F8 9.9626 Tf 4.449 2.463 Td [(\051)]TJ/F10 6.9738 Tf 3.874 4.113 Td [(T)]TJ/F8 9.9626 Tf 6.276 -4.113 Td [(\050)]TJ/F11 9.9626 Tf 3.875 0 Td [(A)]TJ/F10 6.9738 Tf 7.472 4.113 Td [(\016)]TJ 0 -6.576 Td [(i)]TJ/F8 9.9626 Tf 4.372 2.463 Td [(\051)]TJ/F13 6.9738 Tf 3.874 4.113 Td [(\000)]TJ/F7 6.9738 Tf 6.227 0 Td [(1)]TJ/F11 9.9626 Tf 4.469 -4.113 Td [(R)]TJ/F10 6.9738 Tf 7.642 4.113 Td [(\016)]TJ -0.077 -6.576 Td [(i)]TJ/F11 9.9626 Tf 4.449 2.463 Td [(;)]TJ/F8 9.9626 Tf -229.203 -32.168 Td [(where)]TJ/F11 9.9626 Tf 29.951 0 Td [(A)]TJ/F10 6.9738 Tf 7.472 3.615 Td [(\016)]TJ 0 -6.209 Td [(i)]TJ/F8 9.9626 Tf 8.836 2.594 Td [(is)-448(assumed)-448(to)-448(b)-28(e)-448(nonsingular.)-788(Its)-448(application)-448(to)-448(a)-448(v)28(ec)-1(tor)]TJ/F11 9.9626 Tf 263.662 0 Td [(v)]TJ/F14 9.9626 Tf 9.858 0 Td [(2)-469(<)]TJ/F10 6.9738 Tf 18.509 3.615 Td [(n)]TJ/F8 9.9626 Tf -338.288 -15.571 Td [(within)-333(a)-334(Kryl)1(o)27(v)-333(solv)28(er)-334(requires)-333(the)-333(follo)28(wing)-334(three)-333(steps:)]TJ +1 0 0 1 -206.7532 -572.8194 cm +BT +/F15 10.9091 Tf 212.2078 572.8194 Td[(A)-333(s)-1(p)1(arse)-334(dir)1(e)-1(ct)-333(factorization)-333(p)1(ac)27(k)56(age)-334(a)28(v)56(ailab)1(le)-334(fr)1(om)]TJ/F48 10.9091 Tf -43.1965 -13.5492 Td[(http://www.cise.ufl.edu/research/sparse/umfpack/)]TJ/F15 10.9091 Tf 274.9061 0 Td[(;)-259(pr)1(o)28(vides)-223(se)-1(-)]TJ -274.9061 -13.5492 Td[(ri)1(al)-407(f)1(ac)-1(t)1(orization)-406(and)-405(s)-1(olu)1(tion)-406(f)1(or)-406(dou)1(ble)-407(p)1(rec)-1(ision)-406(r)1(e)-1(al)-406(an)1(d)-406(c)-1(ompl)1(e)-1(x)]TJ 0 -13.5492 Td[(dou)1(bl)1(e)-334(pr)1(e)-1(cis)-1(i)1(on)-333(data.)-444(W)84(e)-334(ha)28(v)28(e)-334(teste)-1(d)-333(v)28(ersions)-333(4.4)-333(and)-333(5.1;)]TJ +ET +1 0 0 1 136.2839 509.0847 cm 0 g 0 G - 12.177 -19.925 Td [(1.)]TJ +1 0 0 1 -136.2839 -509.0847 cm +BT +/F41 10.9091 Tf 141.7385 509.0847 Td[(Sup)-32(er)1(LU)]TJ +ET +1 0 0 1 191.1094 509.0847 cm 0 g 0 G - [-500(restriction)-333(of)]TJ/F11 9.9626 Tf 71.786 0 Td [(v)]TJ/F8 9.9626 Tf 8.507 0 Td [(as)]TJ/F11 9.9626 Tf 12.232 0 Td [(v)]TJ/F10 6.9738 Tf 4.829 -1.494 Td [(i)]TJ/F8 9.9626 Tf 6.085 1.494 Td [(=)]TJ/F11 9.9626 Tf 10.516 0 Td [(R)]TJ/F10 6.9738 Tf 7.641 3.615 Td [(\016)]TJ -0.077 -6.208 Td [(i)]TJ/F11 9.9626 Tf 4.449 2.593 Td [(v)]TJ/F8 9.9626 Tf 5.187 0 Td [(,)]TJ/F11 9.9626 Tf 6.088 0 Td [(i)]TJ/F8 9.9626 Tf 6.2 0 Td [(=)-278(1)]TJ/F11 9.9626 Tf 15.497 0 Td [(;)-167(:)-166(:)-167(:)-167(;)-166(m)]TJ/F8 9.9626 Tf 30.887 0 Td [(;)]TJ +1 0 0 1 -191.1094 -509.0847 cm +BT +/F15 10.9091 Tf 196.5639 509.0847 Td[(A)-333(s)-1(p)1(arse)-334(dir)1(e)-1(ct)-333(factorization)-333(p)1(ac)27(k)56(age)-334(a)28(v)56(ailab)1(le)-334(fr)1(om)]TJ/F48 10.9091 Tf -27.5526 -13.5492 Td[(http://crd.lbl.gov/~xiaoye/SuperLU/)]TJ/F15 10.9091 Tf 200.4523 0 Td[(;)-647(pr)1(o)28(vides)-543(s)-1(eri)1(al)-543(f)1(ac)-1(tor)1(iz)-1(a-)]TJ -200.4523 -13.5492 Td[(tion)-479(an)1(d)-480(solu)1(tion)-479(for)-479(single)-480(an)1(d)-479(dou)1(ble)-480(p)1(re)-1(cision)-479(real)-480(an)1(d)-479(c)-1(ompl)1(e)-1(x)]TJ 0 -13.5492 Td[(dat)1(a.)-445(W)84(e)-334(h)1(a)27(v)28(e)-333(te)-1(ste)-1(d)-332(v)28(e)-1(rsion)1(s)-334(3.0)-333(and)-333(3.)1(1.)]TJ +ET +1 0 0 1 136.2839 445.3501 cm 0 g 0 G - -189.827 -19.925 Td [(2.)]TJ +1 0 0 1 -136.2839 -445.3501 cm +BT +/F41 10.9091 Tf 141.7385 445.3501 Td[(Sup)-32(er)1(LU)]TJ +ET +1 0 0 1 191.8621 445.3501 cm +q +[]0 d +0 J +0.3985 w +0 0.1992 m +3.7636 0.1992 l +S +Q +1 0 0 1 -191.8621 -445.3501 cm +BT +/F41 10.9091 Tf 195.6257 445.3501 Td[(Dist)]TJ +ET +1 0 0 1 218.5589 445.3501 cm 0 g 0 G - [-500(\050appro)28(ximate\051)-333(solution)-334(of)-333(the)-333(linear)-334(systems)]TJ/F11 9.9626 Tf 208.939 0 Td [(A)]TJ/F10 6.9738 Tf 7.472 3.615 Td [(\016)]TJ 0 -6.208 Td [(i)]TJ/F11 9.9626 Tf 4.372 2.593 Td [(w)]TJ/F10 6.9738 Tf 7.132 -1.495 Td [(i)]TJ/F8 9.9626 Tf 6.084 1.495 Td [(=)]TJ/F11 9.9626 Tf 10.516 0 Td [(v)]TJ/F10 6.9738 Tf 4.83 -1.495 Td [(i)]TJ/F8 9.9626 Tf 3.316 1.495 Td [(,)]TJ/F11 9.9626 Tf 6.089 0 Td [(i)]TJ/F8 9.9626 Tf 6.199 0 Td [(=)-278(1)]TJ/F11 9.9626 Tf 15.498 0 Td [(;)-167(:)-166(:)-167(:)-167(;)-166(m)]TJ/F8 9.9626 Tf 30.886 0 Td [(;)]TJ +1 0 0 1 -218.5589 -445.3501 cm +BT +/F15 10.9091 Tf 224.0134 445.3501 Td[(A)-477(s)-1(p)1(arse)-478(d)1(irec)-1(t)-477(f)1(ac)-1(tor)1(iz)-1(ati)1(on)-477(pac)28(k)55(age)-477(a)28(v)55(ai)1(lable)-477(fr)1(om)-478(th)1(e)]TJ -55.0021 -13.5492 Td[(sam)-1(e)-338(s)-1(it)1(e)-339(as)-339(S)1(up)-27(e)-1(r)1(LU;)-338(pr)1(o)27(v)1(ides)-339(p)1(arallel)-338(f)1(ac)-1(tor)1(iz)-1(ati)1(on)-338(and)-337(s)-1(olu)1(tion)-337(for)]TJ 0 -13.5492 Td[(real)-333(and)-333(complex)-333(dou)1(ble)-334(p)1(rec)-1(i)1(s)-1(ion)-333(d)1(ata.)-444(W)83(e)-333(ha)28(v)28(e)-334(tes)-1(ted)-333(v)28(ers)-1(i)1(on)-333(2.1.)]TJ/F19 11.9552 Tf -27.2728 -30.0292 Td[(4.)-1(3)-1125(C)-1(on\014g)-1(urat)-1(io)-1(n)-375(opt)-1(io)-1(ns)]TJ/F15 10.9091 Tf 0 -20.8722 Td[(T)83(o)-337(b)1(uil)1(d)-337(M)1(LD2P4)-337(th)1(e)-337(\014rst)-337(ste)-1(p)-336(is)-337(to)-337(u)1(s)-1(e)-337(the)]TJ/F48 10.9091 Tf 217.7756 0 Td[(configure)]TJ/F15 10.9091 Tf 55.2194 0 Td[(sc)-1(ri)1(pt)-337(i)1(n)-337(th)1(e)-338(main)]TJ -272.995 -13.5492 Td[(di)1(rec)-1(tor)1(y)-334(t)1(o)-334(generate)-334(t)1(he)-334(n)1(e)-1(ce)-1(ss)-1(ar)1(y)-333(m)-1(ak)28(e\014l)1(e)-1(\050s\051.)]TJ 16.9365 -13.6921 Td[(As)-334(a)-333(minimal)-333(exam)-1(p)1(le)-334(consid)1(e)-1(r)-333(th)1(e)-334(fol)1(lo)28(w)-1(i)1(ng:)]TJ +ET +1 0 0 1 136.2839 316.879 cm 0 g 0 G - -311.333 -19.926 Td [(3.)]TJ 0 g 0 G - [-500(prolongation)-333(and)-333(sum)-334(of)-333(the)]TJ/F11 9.9626 Tf 139.837 0 Td [(w)]TJ/F10 6.9738 Tf 7.132 -1.494 Td [(i)]TJ/F8 9.9626 Tf 3.317 1.494 Td [('s,)-333(i.e.)]TJ/F11 9.9626 Tf 29.943 0 Td [(w)]TJ/F8 9.9626 Tf 10.168 0 Td [(=)]TJ/F1 9.9626 Tf 10.516 7.473 Td [(P)]TJ/F10 6.9738 Tf 10.516 -2.463 Td [(m)]TJ 0 -7.998 Td [(i)]TJ/F7 6.9738 Tf 2.819 0 Td [(=1)]TJ/F8 9.9626 Tf 10.585 2.988 Td [(\050)]TJ/F11 9.9626 Tf 3.875 0 Td [(R)]TJ/F10 6.9738 Tf 7.641 3.616 Td [(\016)]TJ -0.077 -6.209 Td [(i)]TJ/F8 9.9626 Tf 4.449 2.593 Td [(\051)]TJ/F10 6.9738 Tf 3.875 3.616 Td [(T)]TJ/F11 9.9626 Tf 6.276 -3.616 Td [(w)]TJ/F10 6.9738 Tf 7.132 -1.494 Td [(i)]TJ/F8 9.9626 Tf 3.317 1.494 Td [(.)]TJ -273.498 -19.925 Td [(A)-460(v)56(arian)28(t)-460(of)-460(the)-459(classical)-460(AS)-460(preconditioner)-459(that)-460(outp)-28(erforms)-460(it)-459(in)-460(terms)-460(of)]TJ 0 -11.955 Td [(b)-28(oth)-316(con)28(v)28(ergence)-316(rate)-316(and)-315(of)-316(computation)-316(and)-316(comm)28(unication)-316(time)-316(on)-316(p)1(arallel)]TJ 0 -11.955 Td [(distributed-memory)-367(computers)-367(is)-367(the)-367(so-called)]TJ/F17 9.9626 Tf 207.045 0 Td [(R)51(estricte)51(d)-388(AS)-389(\050RAS\051)]TJ/F8 9.9626 Tf 96.234 0 Td [(precondi-)]TJ -303.279 -11.955 Td [(tioner)-341([)]TJ -0 1 0 rg 0 1 0 RG - [(5)]TJ +1 0 0 1 -136.2839 -316.879 cm +BT +/F48 10.9091 Tf 141.7385 316.879 Td[(./configure)-525(--with-psblas=/home/user/PSBLAS/psblas-2.3)]TJ/F15 10.9091 Tf 0 -23.087 Td[(This)-260(ass)-1(u)1(m)-1(es)-260(that)-259(the)-260(v)56(ariou)1(s)-260(MPI)-259(c)-1(ompi)1(le)-1(r)1(s)-261(an)1(d)-259(s)-1(u)1(pp)-27(ort)-260(l)1(ibr)1(aries)-261(ar)1(e)-260(a)27(v)56(ail)1(-)]TJ 0 -13.5492 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8.9664 Tf 0 -10.959 Td [(A)]TJ/F37 5.9776 Tf 6.91 -0.996 Td [(1)]TJ/F40 8.9664 Tf 6.711 0.996 Td [(\040)]TJ/F38 8.9664 Tf 11.775 0 Td [(A)]TJ/F29 8.9664 Tf 6.91 0 Td [(;)]TJ -32.306 -13.794 Td [(!)-457(de\014ned)-342(the)-343(n)29(um)28(b)-28(er)-343(of)-342(lev)28(els)]TJ/F38 8.9664 Tf 122.964 0 Td [(nl)-17(ev)]TJ/F29 8.9664 Tf -122.964 -13.793 Td [(!)-457(de\014ned)]TJ/F38 8.9664 Tf 38.404 0 Td [(nl)-17(ev)]TJ/F40 8.9664 Tf 19.588 0 Td [(\000)]TJ/F29 8.9664 Tf 9.216 0 Td [(1)-343(prol)1(ongators)]TJ/F38 8.9664 Tf -67.208 -11.182 Td [(R)]TJ/F39 5.9776 Tf 7.036 3.809 Td [(T)]TJ -0.063 -5.665 Td [(l)]TJ/F38 8.9664 Tf 5.9 1.856 Td [(;)-171(l)]TJ/F29 8.9664 Tf 9.554 0 Td [(=)-285(2)]TJ/F38 8.9664 Tf 14.335 0 Td [(;)-171(:)-172(:)-171(:)-171(;)-171(nl)-17(ev)]TJ/F29 8.9664 Tf 38.019 0 Td [(;)]TJ -74.781 -13.793 Td [(!)-457(de\014ned)]TJ/F38 8.9664 Tf 38.404 0 Td [(nl)-17(ev)]TJ/F40 8.9664 Tf 19.588 0 Td [(\000)]TJ/F29 8.9664 Tf 9.216 0 Td [(1)-343(coa)1(rser)-343(matrices)]TJ/F38 8.9664 Tf -67.208 -11.182 Td [(A)]TJ/F39 5.9776 Tf 6.91 -1.062 Td [(l)]TJ/F40 8.9664 Tf 5.459 1.062 Td [(\040)]TJ/F38 8.9664 Tf 11.775 0 Td [(R)]TJ/F39 5.9776 Tf 6.973 -1.062 Td [(l)]TJ/F38 8.9664 Tf 2.898 1.062 Td [(A)]TJ/F39 5.9776 Tf 6.911 -1.062 Td [(l)]TJ/F41 5.9776 Tf 2.4 0 Td [(\000)]TJ/F37 5.9776 Tf 5.756 0 Td [(1)]TJ/F38 8.9664 Tf 4.151 1.062 Td [(R)]TJ/F39 5.9776 Tf 7.036 3.809 Td [(T)]TJ -0.063 -5.665 Td [(l)]TJ/F38 8.9664 Tf 5.9 1.856 Td [(;)-457(l)]TJ/F29 8.9664 Tf 12.114 0 Td [(=)-286(2)]TJ/F38 8.9664 Tf 14.335 0 Td [(;)-171(:)-172(:)-171(:)-171(;)-171(nl)-17(ev)]TJ/F29 8.9664 Tf 38.019 0 Td [(;)]TJ -130.574 -13.793 Td [(!)-457(de\014ned)-342(the)]TJ/F38 8.9664 Tf 54.279 0 Td [(nl)-17(ev)]TJ/F40 8.9664 Tf 19.588 0 Td [(\000)]TJ/F29 8.9664 Tf 9.215 0 Td [(1)-343(basic)-342(Sc)28(h)29(w)29(arz)-343(preconditioners)]TJ/F38 8.9664 Tf -83.082 -10.959 Td [(M)]TJ/F39 5.9776 Tf 8.903 -1.063 Td [(l)]TJ/F29 8.9664 Tf 2.899 1.063 Td [(,)-343(ba)1(sic)-343(preconditioner)-342(for)]TJ/F38 8.9664 Tf 103.793 0 Td [(A)]TJ/F39 5.9776 Tf 6.91 -1.063 Td [(l)]TJ/F38 8.9664 Tf 5.459 1.063 Td [(l)]TJ/F29 8.9664 Tf 5.458 0 Td [(=)-286(1)]TJ/F38 8.9664 Tf 14.335 0 Td [(;)-171(:)-172(:)-171(:)-171(;)-171(nl)-17(ev)]TJ/F40 8.9664 Tf 40.067 0 Td [(\000)]TJ/F29 8.9664 Tf 9.215 0 Td [(1;)]TJ -197.039 -13.794 Td [(!)-457(assigned)-342(a)-343(v)29(ector)]TJ/F38 8.9664 Tf 78.461 0 Td [(v)]TJ -78.461 -10.958 Td [(v)]TJ/F37 5.9776 Tf 4.476 -0.997 Td [(1)]TJ/F40 8.9664 Tf 6.711 0.997 Td [(\040)]TJ/F38 8.9664 Tf 11.775 0 Td [(v)]TJ/F29 8.9664 Tf 4.798 0 Td [(;)]TJ/F30 8.9664 Tf -27.76 -16.629 Td [(for)]TJ/F38 8.9664 Tf 16.46 0 Td [(l)]TJ/F29 8.9664 Tf 5.459 0 Td [(=)-285(2)]TJ/F38 8.9664 Tf 14.335 0 Td [(;)-171(nl)-17(ev)]TJ/F30 8.9664 Tf 25.172 0 Td [(do)]TJ/F29 8.9664 Tf -52.211 -13.793 Td [(!)-457(transfer)]TJ/F38 8.9664 Tf 40.798 0 Td [(v)]TJ/F39 5.9776 Tf 4.476 -1.063 Td [(l)]TJ/F41 5.9776 Tf 2.401 0 Td [(\000)]TJ/F37 5.9776 Tf 5.756 0 Td [(1)]TJ/F29 8.9664 Tf 7.223 1.063 Td [(to)-343(the)-342(next)-343(coarser)-342(lev)28(el)]TJ/F38 8.9664 Tf -60.654 -10.959 Td [(v)]TJ/F39 5.9776 Tf 4.477 -1.063 Td [(l)]TJ/F40 8.9664 Tf 5.458 1.063 Td [(\040)]TJ/F38 8.9664 Tf 11.775 0 Td [(R)]TJ/F39 5.9776 Tf 6.973 -1.063 Td [(l)]TJ/F38 8.9664 Tf 2.899 1.063 Td [(v)]TJ/F39 5.9776 Tf 4.476 -1.063 Td [(l)]TJ/F41 5.9776 Tf 2.401 0 Td [(\000)]TJ/F37 5.9776 Tf 5.756 0 Td [(1)]TJ/F29 8.9664 Tf 4.151 1.063 Td [(;)]TJ/F30 8.9664 Tf -57.581 -13.794 Td [(endfor)]TJ/F29 8.9664 Tf 0 -16.628 Td [(!)-457(apply)-342(the)-343(coarsest-lev)29(el)-343(correction)]TJ/F38 8.9664 Tf 0 -13.893 Td [(y)]TJ/F39 5.9776 Tf 4.538 -1.063 Td [(nlev)]TJ/F40 8.9664 Tf 17.531 1.063 Td [(\040)]TJ/F38 8.9664 Tf 11.775 0 Td [(A)]TJ/F41 5.9776 Tf 6.91 3.919 Td [(\000)]TJ/F37 5.9776 Tf 5.757 0 Td [(1)]TJ/F39 5.9776 Tf -5.757 -6.496 Td [(nlev)]TJ/F40 8.9664 Tf 17.019 2.577 Td [(\003)]TJ/F38 8.9664 Tf 6.656 0 Td [(v)]TJ/F39 5.9776 Tf 4.476 -1.063 Td [(nlev)]TJ/F29 8.9664 Tf 14.971 1.063 Td [(;)]TJ/F30 8.9664 Tf -83.876 -16.628 Td [(for)]TJ/F38 8.9664 Tf 16.46 0 Td [(l)]TJ/F29 8.9664 Tf 5.459 0 Td [(=)]TJ/F38 8.9664 Tf 9.727 0 Td [(nl)-17(ev)]TJ/F40 8.9664 Tf 19.588 0 Td [(\000)]TJ/F29 8.9664 Tf 9.216 0 Td [(1)]TJ/F38 8.9664 Tf 4.607 0 Td [(;)]TJ/F29 8.9664 Tf 4.096 0 Td [(1)]TJ/F38 8.9664 Tf 4.608 0 Td [(;)]TJ/F40 8.9664 Tf 4.095 0 Td [(\000)]TJ/F29 8.9664 Tf 7.168 0 Td [(1)]TJ/F30 8.9664 Tf 8.144 0 Td [(do)]TJ/F29 8.9664 Tf -83.953 -13.794 Td [(!)-457(transfer)]TJ/F38 8.9664 Tf 40.798 0 Td [(y)]TJ/F39 5.9776 Tf 4.538 -1.062 Td [(l)]TJ/F37 5.9776 Tf 2.401 0 Td [(+1)]TJ/F29 8.9664 Tf 12.813 1.062 Td [(to)-343(the)-342(next)-343(\014ner)-342(lev)28(el)]TJ/F38 8.9664 Tf -60.55 -11.181 Td [(y)]TJ/F39 5.9776 Tf 4.539 -1.063 Td [(l)]TJ/F40 8.9664 Tf 5.459 1.063 Td [(\040)]TJ/F38 8.9664 Tf 11.775 0 Td [(R)]TJ/F39 5.9776 Tf 7.035 3.809 Td [(T)]TJ -0.063 -5.666 Td [(l)]TJ/F37 5.9776 Tf 2.401 0 Td [(+1)]TJ/F40 8.9664 Tf 11.789 1.857 Td [(\003)]TJ/F38 8.9664 Tf 6.656 0 Td [(y)]TJ/F39 5.9776 Tf 4.538 -1.063 Td [(l)]TJ/F37 5.9776 Tf 2.401 0 Td [(+1)]TJ/F29 8.9664 Tf 9.741 1.063 Td [(;)]TJ -66.271 -13.794 Td [(!)-457(compute)-342(the)-343(residual)-342(at)-343(the)-342(curren)28(t)-342(lev)28(el)]TJ/F38 8.9664 Tf 0 -11.058 Td [(r)]TJ/F39 5.9776 Tf 4.158 -1.063 Td [(l)]TJ/F40 8.9664 Tf 5.459 1.063 Td [(\040)]TJ/F38 8.9664 Tf 11.775 0 Td [(v)]TJ/F39 5.9776 Tf 4.476 -1.063 Td [(l)]TJ/F40 8.9664 Tf 4.947 1.063 Td [(\000)]TJ/F38 8.9664 Tf 9.216 0 Td [(A)]TJ/F41 5.9776 Tf 6.91 3.918 Td [(\000)]TJ/F37 5.9776 Tf 5.756 0 Td [(1)]TJ/F39 5.9776 Tf -5.756 -6.495 Td [(l)]TJ/F40 8.9664 Tf 11.955 2.577 Td [(\003)]TJ/F38 8.9664 Tf 6.655 0 Td [(y)]TJ/F39 5.9776 Tf 4.539 -1.063 Td [(l)]TJ/F29 8.9664 Tf 2.899 1.063 Td [(;)]TJ -72.989 -13.794 Td [(!)-457(apply)-342(the)-343(basic)-342(Sc)28(h)29(w)28(arz)-342(preconditioner)-343(to)]TJ/F38 8.9664 Tf 178.8 0 Td [(r)]TJ/F39 5.9776 Tf 4.158 -1.062 Td [(l)]TJ/F38 8.9664 Tf -182.958 -9.996 Td [(r)]TJ/F39 5.9776 Tf 4.158 -1.063 Td [(l)]TJ/F40 8.9664 Tf 5.459 1.063 Td [(\040)]TJ/F38 8.9664 Tf 11.775 0 Td [(M)]TJ/F41 5.9776 Tf 9.871 3.918 Td [(\000)]TJ/F37 5.9776 Tf 5.757 0 Td [(1)]TJ/F39 5.9776 Tf -6.725 -6.495 Td [(l)]TJ/F40 8.9664 Tf 12.924 2.577 Td [(\003)]TJ/F38 8.9664 Tf 6.655 0 Td [(r)]TJ/F39 5.9776 Tf 4.158 -1.063 Td [(l)]TJ/F29 8.9664 Tf -54.032 -12.731 Td [(!)-457(up)-28(date)]TJ/F38 8.9664 Tf 37.633 0 Td [(y)]TJ/F39 5.9776 Tf 4.539 -1.062 Td [(l)]TJ/F38 8.9664 Tf -42.172 -9.897 Td [(y)]TJ/F39 5.9776 Tf 4.539 -1.062 Td [(l)]TJ/F40 8.9664 Tf 5.458 1.062 Td [(\040)]TJ/F38 8.9664 Tf 11.776 0 Td [(y)]TJ/F39 5.9776 Tf 4.538 -1.062 Td [(l)]TJ/F29 8.9664 Tf 4.947 1.062 Td [(+)]TJ/F38 8.9664 Tf 9.215 0 Td [(r)]TJ/F39 5.9776 Tf 4.158 -1.062 Td [(l)]TJ/F30 8.9664 Tf -53.846 -9.896 Td [(endfor)]TJ/F29 8.9664 Tf 0 -13.794 Td [(!)-457(preconditioned)-342(v)28(ector)]TJ/F38 8.9664 Tf 96.813 0 Td [(w)]TJ/F40 8.9664 Tf 9.406 0 Td [(\040)]TJ/F38 8.9664 Tf 11.775 0 Td [(y)]TJ/F37 5.9776 Tf 4.539 -0.996 Td [(1)]TJ/F29 8.9664 Tf 4.151 0.996 Td [(;)]TJ +/F15 10.9091 Tf 190.3446 543.3944 Td[(6)]TJ ET -q -1 0 0 1 184.455 715.892 cm -[]0 d 0 J 0.398 w 0 0 m 224.405 0 l S -Q -q -1 0 0 1 184.654 339.718 cm -[]0 d 0 J 0.398 w 0 0 m 0 376.174 l S -Q -q -1 0 0 1 408.661 339.718 cm -[]0 d 0 J 0.398 w 0 0 m 0 376.174 l S -Q -q -1 0 0 1 184.455 339.718 cm -[]0 d 0 J 0.398 w 0 0 m 224.405 0 l S -Q +1 0 0 1 195.7992 543.3944 cm 0 g 0 G +1 0 0 1 -195.7992 -543.3944 cm BT -/F8 9.9626 Tf 167.793 321.642 Td [(Figure)-333(1:)-445(Multi-lev)28(el)-333(h)28(ybrid)-334(p)-27(ost-sm)-1(o)-27(othed)-334(precondi)1(tioner.)]TJ -0 g 0 G -0 g 0 G - -42.991 -41.788 Td [(previous)-378(algorithm)-377(has)-378(a)-378(sequen)28(tial)-378(nature,)-389(a)]TJ/F17 9.9626 Tf 203.543 0 Td [(de)51(c)51(ouple)51(d)]TJ/F8 9.9626 Tf 45.274 0 Td [(v)28(ersion)-378(of)-378(it)-377(has)-378(b)-28(een)]TJ -248.817 -11.955 Td [(c)28(hosen,)-396(where)-383(eac)28(h)-384(pro)-27(cess)-1(or)]TJ/F11 9.9626 Tf 131.598 0 Td [(i)]TJ/F8 9.9626 Tf 7.25 0 Td [(indep)-28(enden)28(tly)-383(applies)-383(the)-383(algorithm)-384(to)-383(the)-383(set)]TJ -138.848 -11.955 Td [(of)-296(v)28(ertices)]TJ/F11 9.9626 Tf 46.665 0 Td [(W)]TJ/F7 6.9738 Tf 10.792 3.615 Td [(0)]TJ/F10 6.9738 Tf -1.383 -6.209 Td [(i)]TJ/F8 9.9626 Tf 8.803 2.594 Td [(assigned)-296(to)-296(it)-296(in)-297(th)1(e)-297(initial)-296(data)-296(distribution.)-432(This)-296(v)28(ersion)-296(is)-296(em-)]TJ -64.877 -11.956 Td [(barrassingly)-297(parallel,)-304(since)-297(it)-297(do)-27(es)-297(not)-297(require)-297(an)28(y)-297(data)-297(comm)28(unication.)-432(On)-297(the)]TJ 0 -11.955 Td [(other)-295(hand,)-303(it)-296(ma)28(y)-295(pro)-28(duce)-295(non-uniform)-296(aggregates)-295(near)-296(b)-27(oundary)-296(v)28(ertices,)-303(i.e.)]TJ 0 -11.955 Td [(near)-302(v)28(ertices)-303(adjacen)28(t)-302(to)-302(v)27(ertices)-302(in)-302(other)-302(pro)-28(cessors,)-308(and)-303(is)-302(strongly)-302(dep)-28(enden)28(t)]TJ 0 -11.955 Td [(on)-239(the)-240(n)28(um)28(b)-28(er)-239(of)-240(pr)1(o)-28(cessors)-240(and)-239(on)-239(the)-240(initial)-239(partitioning)-239(of)-240(the)-239(matrix)]TJ/F11 9.9626 Tf 308.877 0 Td [(A)]TJ/F8 9.9626 Tf 7.472 0 Td [(.)-413(Nev-)]TJ -316.349 -11.955 Td [(ertheless,)-392(this)-380(algorithm)-379(has)-380(b)-28(een)-380(c)28(hosen)-380(for)-380(the)-380(implemen)28(tation)-380(in)-380(MLD2P4,)]TJ 0 -11.955 Td [(since)-333(it)-334(has)-333(b)-28(een)-333(sho)28(wn)-334(to)-333(pro)-28(duce)-333(go)-28(o)-28(d)-333(results)-333(in)-334(practice)-333([)]TJ +/F15 10.9091 Tf 195.7992 543.3944 Td[(,)]TJ +ET +1 0 0 1 202.4658 543.3944 cm 0 1 0 rg 0 1 0 RG - [(3)]TJ +1 0 0 1 -202.4658 -543.3944 cm +BT +/F15 10.9091 Tf 202.4658 543.3944 Td[(7)]TJ +ET +1 0 0 1 207.9204 543.3944 cm 0 g 0 G - [(,)]TJ +1 0 0 1 -207.9204 -543.3944 cm +BT +/F15 10.9091 Tf 207.9204 543.3944 Td[(,)]TJ +ET +1 0 0 1 214.587 543.3944 cm 0 1 0 rg 0 1 0 RG - [-333(4)]TJ +1 0 0 1 -214.587 -543.3944 cm +BT +/F15 10.9091 Tf 214.587 543.3944 Td[(15)]TJ +ET +1 0 0 1 225.4961 543.3944 cm 0 g 0 G - [(,)]TJ +1 0 0 1 -225.4961 -543.3944 cm +BT +/F15 10.9091 Tf 225.4961 543.3944 Td[(].)]TJ/F20 10.9091 Tf -66.8211 -14.0113 Td[(A)51(dditive)-324(Schw)-1(arz)]TJ/F15 10.9091 Tf 85.7786 0 Td[(pr)1(e)-1(cond)1(ition)1(e)-1(r)1(s)-297(are)-297(DD)-297(p)1(rec)-1(on)1(diti)1(oners)-297(usin)1(g)-297(o)28(v)28(e)-1(r)1(lap-)]TJ -102.7151 -13.5492 Td[(pi)1(ng)-429(sub)1(matrice)-1(s,)-452(i.e.)-429(with)-428(som)-1(e)-429(com)-1(mon)-428(ro)28(ws)-1(,)-452(to)-428(c)-1(ou)1(ple)-429(th)1(e)-429(lo)-28(cal)-429(in)1(for)1(-)]TJ 0 -13.5492 Td[(mation)-443(re)-1(l)1(ate)-1(d)-443(to)-444(th)1(e)-445(sub)1(m)-1(atr)1(ice)-1(s)-444(\050s)-1(ee,)-472(e.g.,)-471([)]TJ +ET +1 0 0 1 367.3921 502.2847 cm 0 1 0 rg 0 1 0 RG - [-334(17)]TJ -0 g 0 G - [(].)]TJ 14.944 -11.956 Td [(The)-476(pr)1(olongator)]TJ/F11 9.9626 Tf 77.055 0 Td [(P)]TJ/F10 6.9738 Tf 6.396 -1.494 Td [(C)]TJ/F8 9.9626 Tf 11.83 1.494 Td [(=)]TJ/F11 9.9626 Tf 12.877 0 Td [(R)]TJ/F10 6.9738 Tf 7.641 3.616 Td [(T)]TJ -0.077 -6.36 Td [(C)]TJ/F8 9.9626 Tf 11.439 2.744 Td [(is)-476(b)1(uilt)-476(starting)-475(from)-476(a)]TJ/F17 9.9626 Tf 109.92 0 Td [(tentative)-489(pr)51(ol)1(on)-1(gator)]TJ/F11 9.9626 Tf -252.025 -11.955 Td [(P)]TJ/F14 9.9626 Tf 10.547 0 Td [(2)-278(<)]TJ/F10 6.9738 Tf 16.605 3.616 Td [(n)]TJ/F13 6.9738 Tf 4.924 0 Td [(\002)]TJ/F10 6.9738 Tf 6.227 0 Td [(n)]TJ/F9 4.9813 Tf 4.925 -1.002 Td [(C)]TJ/F8 9.9626 Tf 6.296 -2.614 Td [(,)-333(de\014ned)-334(as)]TJ/F11 9.9626 Tf 37.557 -27.859 Td [(P)]TJ/F8 9.9626 Tf 10.547 0 Td [(=)-278(\050)]TJ/F11 9.9626 Tf 14.391 0 Td [(p)]TJ/F10 6.9738 Tf 5.012 -1.494 Td [(ij)]TJ/F8 9.9626 Tf 7.017 1.494 Td [(\051)]TJ/F11 9.9626 Tf 3.874 0 Td [(;)-1167(p)]TJ/F10 6.9738 Tf 19.403 -1.494 Td [(ij)]TJ/F8 9.9626 Tf 9.784 1.494 Td [(=)]TJ/F1 9.9626 Tf 10.516 14.048 Td [(\032)]TJ/F8 9.9626 Tf 12.453 -8.487 Td [(1)-2000(if)]TJ/F11 9.9626 Tf 33.486 0 Td [(i)]TJ/F14 9.9626 Tf 6.199 0 Td [(2)]TJ/F11 9.9626 Tf 9.409 0 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Td[(coars)-1(e)-283(matri)1(c)-1(es)-283(s)-1(tar)1(tin)1(g)-283(fr)1(om)-283(the)-283(or)1(iginal)-282(matrix)1(.)-428(The)-283(al)1(ge)-1(b)1(raic)-283(ap)1(proac)28(h)-282(is)]TJ 0 -13.5492 Td[(based)-281(on)-280(th)1(e)]TJ/F20 10.9091 Tf 62.578 0 Td[(smo)51(othe)51(d)-309(aggr)51(e)51(gation)]TJ/F15 10.9091 Tf 103.8715 0 Td[(algor)1(ithm)-281([)]TJ +ET +1 0 0 1 312.5499 582.1936 cm +0 1 0 rg 0 1 0 RG +1 0 0 1 -312.5499 -582.1936 cm +BT +/F15 10.9091 Tf 312.5499 582.1936 Td[(1)]TJ +ET +1 0 0 1 318.0045 582.1936 cm 0 g 0 G -/F8 9.9626 Tf 154.827 0 Td [(\0503\051)]TJ +1 0 0 1 -318.0045 -582.1936 cm +BT +/F15 10.9091 Tf 318.0045 582.1936 Td[(,)]TJ +ET +1 0 0 1 324.0961 582.1936 cm +0 1 0 rg 0 1 0 RG +1 0 0 1 -324.0961 -582.1936 cm +BT +/F15 10.9091 Tf 324.0961 582.1936 Td[(19)]TJ +ET +1 0 0 1 335.0052 582.1936 cm 0 g 0 G - -330.981 -21.918 Td [(in)-256(order)-257(to)-256(remo)27(v)28(e)-256(oscillatory)-257(comp)-28(onen)28(ts)-256(from)-257(the)-256(range)-257(of)-256(the)-257(prol)1(ongator)-257(and)]TJ 0 -11.955 Td [(hence)-312(to)-312(impro)28(v)28(e)-312(the)-312(con)28(v)27(ergence)-312(prop)-27(erties)-312(of)-312(the)-312(m)28(ulti-lev)27(el)-312(Sc)28(h)28(w)28(arz)-312(metho)-28(d)]TJ 0 -11.955 Td [([)]TJ +1 0 0 1 -335.0052 -582.1936 cm +BT +/F15 10.9091 Tf 335.0052 582.1936 Td[(].)-426(A)-281(decoupl)1(e)-1(d)-280(v)28(ers)-1(i)1(on)-280(of)]TJ -241.0874 -13.5492 Td[(th)1(is)-383(algorith)1(m)-383(is)-383(impleme)-1(n)28(ted,)-394(w)-1(h)1(e)-1(r)1(e)-384(t)1(he)-383(s)-1(mo)-28(oth)1(e)-1(d)-382(aggregation)-382(is)-383(app)1(lied)]TJ 0 -13.5492 Td[(lo)-28(cally)-253(to)-253(eac)27(h)-253(sub)1(m)-1(atr)1(ix)-253([)]TJ +ET +1 0 0 1 217.7888 555.0952 cm 0 1 0 rg 0 1 0 RG - [(1)]TJ +1 0 0 1 -217.7888 -555.0952 cm +BT +/F15 10.9091 Tf 217.7888 555.0952 Td[(18)]TJ +ET +1 0 0 1 228.6979 555.0952 cm 0 g 0 G - [(,)]TJ +1 0 0 1 -228.6979 -555.0952 cm +BT +/F15 10.9091 Tf 228.6979 555.0952 Td[(].)-417(In)-253(the)-253(next)-253(t)27(w)28(o)-253(s)-1(u)1(bse)-1(ction)1(s)-254(w)27(e)-253(pro)28(vi)1(de)-254(a)-253(b)1(rief)]TJ -134.7801 -13.5492 Td[(desc)-1(ri)1(ption)-316(of)-316(th)1(e)-317(m)27(u)1(lti-lev)28(e)-1(l)-316(Sc)28(h)28(w)27(ar)1(z)-317(pr)1(e)-1(cond)1(ition)1(e)-1(rs)-317(an)1(d)-316(on)-316(the)-317(smo)-28(othed)]TJ 0 -13.5492 Td[(aggregation)-355(tec)27(h)1(niq)1(ue)-356(as)-356(imp)1(le)-1(men)28(te)-1(d)-355(i)1(n)-355(MLD2P4.)-510(F)83(or)-355(f)1(ur)1(ther)-355(details)-356(th)1(e)]TJ 0 -13.5492 Td[(user)-333(is)-334(referr)1(e)-1(d)-333(to)-333([)]TJ +ET +1 0 0 1 184.7664 514.4476 cm 0 1 0 rg 0 1 0 RG - [-333(16)]TJ +1 0 0 1 -184.7664 -514.4476 cm +BT +/F15 10.9091 Tf 184.7664 514.4476 Td[(2)]TJ +ET +1 0 0 1 190.2209 514.4476 cm 0 g 0 G - [(].)-445(A)-333(simple)-333(c)27(hoice)-333(for)]TJ/F11 9.9626 Tf 120.465 0 Td [(S)]TJ/F8 9.9626 Tf 10.004 0 Td [(is)-333(the)-334(damp)-27(ed)-334(Jacobi)-333(smo)-28(other:)]TJ/F11 9.9626 Tf 3.895 -21.918 Td [(S)]TJ/F8 9.9626 Tf 9.45 0 Td [(=)]TJ/F11 9.9626 Tf 10.516 0 Td [(I)]TJ/F14 9.9626 Tf 7.375 0 Td [(\000)]TJ/F11 9.9626 Tf 9.963 0 Td [(!)-36(D)]TJ/F13 6.9738 Tf 15.084 4.114 Td [(\000)]TJ/F7 6.9738 Tf 6.226 0 Td [(1)]TJ/F11 9.9626 Tf 4.47 -4.114 Td [(A;)]TJ +1 0 0 1 -190.2209 -514.4476 cm +BT +/F15 10.9091 Tf 190.2209 514.4476 Td[(,)]TJ +ET +1 0 0 1 196.8876 514.4476 cm +0 1 0 rg 0 1 0 RG +1 0 0 1 -196.8876 -514.4476 cm +BT +/F15 10.9091 Tf 196.8876 514.4476 Td[(3)]TJ +ET +1 0 0 1 202.3421 514.4476 cm 0 g 0 G -/F8 9.9626 Tf 133.533 0 Td [(\0504\051)]TJ +1 0 0 1 -202.3421 -514.4476 cm +BT +/F15 10.9091 Tf 202.3421 514.4476 Td[(,)]TJ +ET +1 0 0 1 209.0088 514.4476 cm +0 1 0 rg 0 1 0 RG +1 0 0 1 -209.0088 -514.4476 cm +BT +/F15 10.9091 Tf 209.0088 514.4476 Td[(4)]TJ +ET +1 0 0 1 214.4634 514.4476 cm 0 g 0 G - -330.981 -21.918 Td [(where)-359(the)-358(v)55(alue)-359(of)]TJ/F11 9.9626 Tf 84.062 0 Td [(!)]TJ/F8 9.9626 Tf 10.132 0 Td [(can)-359(b)-28(e)-358(c)27(hosen)-358(using)-359(some)-359(estimate)-359(of)-358(the)-359(sp)-28(ectral)-359(radius)]TJ -94.194 -11.955 Td [(of)]TJ/F11 9.9626 Tf 11.346 0 Td [(D)]TJ/F13 6.9738 Tf 8.525 3.615 Td [(\000)]TJ/F7 6.9738 Tf 6.227 0 Td [(1)]TJ/F11 9.9626 Tf 4.469 -3.615 Td [(A)]TJ/F8 9.9626 Tf 10.793 0 Td [([)]TJ +1 0 0 1 -214.4634 -514.4476 cm +BT +/F15 10.9091 Tf 214.4634 514.4476 Td[(,)]TJ +ET +1 0 0 1 221.13 514.4476 cm 0 1 0 rg 0 1 0 RG - [(1)]TJ +1 0 0 1 -221.13 -514.4476 cm +BT +/F15 10.9091 Tf 221.13 514.4476 Td[(15)]TJ +ET +1 0 0 1 232.0391 514.4476 cm 0 g 0 G - [(].)]TJ +1 0 0 1 -232.0391 -514.4476 cm +BT +/F15 10.9091 Tf 232.0391 514.4476 Td[(].)]TJ/F19 11.9552 Tf -138.1213 -28.7309 Td[(5.)-1(1)-1125(M)-1(ult)-1(i-l)-1(ev)32(e)-1(l)-375(Sc)31(h)31(w)31(arz)-375(Pre)-1(condi)-1(ti)-1(oner)-1(s)]TJ/F15 10.9091 Tf 0 -20.5946 Td[(The)-443(Mu)1(ltilev)28(el)-443(pr)1(e)-1(cond)1(ition)1(e)-1(rs)-443(impl)1(e)-1(me)-1(n)29(te)-1(d)-442(in)-442(MLD2P4)-442(are)-443(obtain)1(e)-1(d)-442(b)28(y)]TJ 0 -13.5492 Td[(com)27(bi)1(nin)1(g)-438(AS)-436(pr)1(e)-1(cond)1(ition)1(e)-1(rs)-437(w)-1(i)1(th)-437(coars)-1(e-s)-1(p)1(ac)-1(e)-438(corr)1(e)-1(ction)1(s)-1(;)-489(th)1(e)-1(r)1(e)-1(f)1(ore)-438(w)28(e)]TJ 0 -13.5492 Td[(\014r)1(s)-1(t)-333(p)1(ro)28(vid)1(e)-334(a)-334(sk)28(etc)27(h)-333(of)-333(th)1(e)-334(AS)-333(p)1(re)-1(cond)1(ition)1(e)-1(r)1(s)-1(.)]TJ 16.9365 -13.5492 Td[(Giv)28(en)-396(th)1(e)-397(li)1(near)-396(s)-1(y)1(s)-1(tem)-397(\050)]TJ +ET +1 0 0 1 234.7343 424.4745 cm +0 0 1 rg 0 0 1 RG +1 0 0 1 -234.7343 -424.4745 cm +BT +/F15 10.9091 Tf 234.7343 424.4745 Td[(1)]TJ +ET +1 0 0 1 240.1888 424.4745 cm +0 g 0 G +1 0 0 1 -240.1888 -424.4745 cm +BT +/F15 10.9091 Tf 240.1888 424.4745 Td[(\051,)-412(wh)1(e)-1(r)1(e)]TJ/F24 10.9091 Tf 43.9978 0 Td[(A)]TJ/F15 10.9091 Tf 12.3552 0 Td[(=)-382(\050)]TJ/F24 10.9091 Tf 16.9006 0 Td[(a)]TJ/F25 7.9701 Tf 5.7664 -1.6364 Td[(ij)]TJ/F15 10.9091 Tf 7.2653 1.6364 Td[(\051)]TJ/F27 10.9091 Tf 8.4158 0 Td[(2)-382(<)]TJ/F25 7.9701 Tf 19.3249 3.9588 Td[(n)]TJ/F28 7.9701 Tf 5.1382 0 Td[(\002)]TJ/F25 7.9701 Tf 6.5865 0 Td[(n)]TJ/F15 10.9091 Tf 9.9586 -3.9588 Td[(is)-396(a)-397(n)1(onsingu)1(lar)]TJ -281.9802 -13.5492 Td[(sparse)-443(m)-1(atr)1(ix)-443(wit)1(h)-443(a)-442(s)-1(ymme)-1(tr)1(ic)-443(non)1(z)-1(ero)-443(p)1(atte)-1(r)1(n,)-470(l)1(e)-1(t)]TJ/F24 10.9091 Tf 263.5147 0 Td[(G)]TJ/F15 10.9091 Tf 13.5969 0 Td[(=)-460(\050)]TJ/F24 10.9091 Tf 17.747 0 Td[(W)27(;)-166(E)]TJ/F15 10.9091 Tf 23.5303 0 Td[(\051)-443(b)-27(e)-443(the)]TJ -318.3889 -13.5492 Td[(adj)1(ac)-1(ency)-384(grap)1(h)-384(of)]TJ/F24 10.9091 Tf 95.3368 0 Td[(A)]TJ/F15 10.9091 Tf 8.1818 0 Td[(,)-397(where)]TJ/F24 10.9091 Tf 39.4646 0 Td[(W)]TJ/F15 10.9091 Tf 15.7763 0 Td[(=)]TJ/F27 10.9091 Tf 12.4429 0 Td[(f)]TJ/F15 10.9091 Tf 5.4545 0 Td[(1)]TJ/F24 10.9091 Tf 5.4546 0 Td[(;)]TJ/F15 10.9091 Tf 4.8484 0 Td[(2)]TJ/F24 10.9091 Tf 5.4546 0 Td[(;)-166(:)-167(:)-166(:)-167(;)-166(n)]TJ/F27 10.9091 Tf 30.7903 0 Td[(g)]TJ/F15 10.9091 Tf 9.6476 0 Td[(and)]TJ/F24 10.9091 Tf 21.7688 0 Td[(E)]TJ/F15 10.9091 Tf 12.6398 0 Td[(=)]TJ/F27 10.9091 Tf 12.4429 0 Td[(f)]TJ/F15 10.9091 Tf 5.4546 0 Td[(\050)]TJ/F24 10.9091 Tf 4.2424 0 Td[(i;)-166(j)]TJ/F15 10.9091 Tf 13.7237 0 Td[(\051)-363(:)]TJ/F24 10.9091 Tf 15.1888 0 Td[(a)]TJ/F25 7.9701 Tf 5.7664 -1.6364 Td[(ij)]TJ/F27 10.9091 Tf 11.2233 1.6364 Td[(6)]TJ/F15 10.9091 Tf 0 0 Td[(=)-363(0)]TJ/F27 10.9091 Tf 17.8974 0 Td[(g)]TJ/F15 10.9091 Tf -353.2005 -13.5492 Td[(are)-457(the)-457(v)28(e)-1(r)1(te)-1(x)-457(set)-457(and)-457(th)1(e)-458(edge)-457(s)-1(et)-457(of)]TJ/F24 10.9091 Tf 193.5472 0 Td[(G)]TJ/F15 10.9091 Tf 8.5773 0 Td[(,)-488(resp)-28(ec)-1(ti)1(v)28(e)-1(ly)84(.)-816(Tw)28(o)-457(v)28(e)-1(r)1(tic)-1(es)-458(ar)1(e)]TJ -202.1244 -13.5492 Td[(called)-354(adjacen)28(t)-355(i)1(f)-354(there)-355(is)-355(an)-354(edge)-355(conn)1(e)-1(ctin)1(g)-355(th)1(e)-1(m.)-508(F)84(or)-354(an)28(y)-354(in)28(tege)-1(r)]TJ/F24 10.9091 Tf 329.5943 0 Td[(\016)-351(>)]TJ/F15 10.9091 Tf 20.5758 0 Td[(0,)]TJ -350.1702 -13.5492 Td[(a)]TJ/F24 10.9091 Tf 9.0405 0 Td[(\016)]TJ/F15 10.9091 Tf 5.2614 0 Td[(-o)27(v)28(erl)1(ap)-329(p)1(artit)1(ion)-329(of)]TJ/F24 10.9091 Tf 99.3034 0 Td[(W)]TJ/F15 10.9091 Tf 15.4041 0 Td[(can)-329(b)-27(e)-329(de\014n)1(e)-1(d)-328(rec)-1(u)1(rsiv)28(ely)-329(as)-329(f)1(ollo)28(ws)-1(.)-443(G)1(iv)28(e)-1(n)-328(a)-329(0-)]TJ -129.0094 -13.5492 Td[(o)28(v)28(e)-1(r)1(lap)-234(\050or)-235(n)1(on-o)27(v)28(erl)1(appi)1(ng\051)-235(p)1(arti)1(tion)-235(of)]TJ/F24 10.9091 Tf 192.0208 0 Td[(W)]TJ/F15 10.9091 Tf 11.8182 0 Td[(,)-254(i.e.)-235(a)-235(se)-1(t)-234(of)]TJ/F24 10.9091 Tf 57.6294 0 Td[(m)]TJ/F15 10.9091 Tf 12.14 0 Td[(di)1(s)-1(j)1(oin)28(t)-235(n)1(onem)-1(p)1(t)28(y)]TJ -273.6084 -13.5492 Td[(se)-1(ts)]TJ/F24 10.9091 Tf 20.4102 0 Td[(W)]TJ/F22 7.9701 Tf 11.8182 3.9588 Td[(0)]TJ/F25 7.9701 Tf -1.5151 -7.0143 Td[(i)]TJ/F27 10.9091 Tf 9.2777 3.0555 Td[(\032)]TJ/F24 10.9091 Tf 11.5151 0 Td[(W)]TJ/F15 10.9091 Tf 14.5314 0 Td[(suc)27(h)-248(th)1(at)]TJ/F27 10.9091 Tf 46.3962 0 Td[([)]TJ/F25 7.9701 Tf 7.2727 3.9588 Td[(m)]TJ 0 -7.0143 Td[(i)]TJ/F22 7.9701 Tf 2.8832 0 Td[(=1)]TJ/F24 10.9091 Tf 11.3188 3.0555 Td[(W)]TJ/F22 7.9701 Tf 11.8182 3.9588 Td[(0)]TJ/F25 7.9701 Tf -1.5152 -7.0143 Td[(i)]TJ/F15 10.9091 Tf 9.2778 3.0555 Td[(=)]TJ/F24 10.9091 Tf 11.5151 0 Td[(W)]TJ/F15 10.9091 Tf 11.8182 0 Td[(,)-265(a)]TJ/F24 10.9091 Tf 14.0959 0 Td[(\016)]TJ/F15 10.9091 Tf 5.2613 0 Td[(-o)27(v)28(erl)1(ap)-249(p)1(artiti)1(on)-249(of)]TJ/F24 10.9091 Tf 96.6852 0 Td[(W)]TJ/F15 10.9091 Tf 14.5314 0 Td[(is)-249(ob)1(tained)]TJ -307.3963 -13.5492 Td[(b)28(y)-324(c)-1(on)1(s)-1(i)1(derin)1(g)-325(th)1(e)-326(sets)]TJ/F24 10.9091 Tf 111.953 0 Td[(W)]TJ/F25 7.9701 Tf 11.8182 3.9588 Td[(\016)]TJ 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169.0113 680.469 Td[(pr)1(olongat)1(ion)-333(and)-333(sum)-333(of)-333(the)]TJ/F24 10.9091 Tf 139.182 0 Td[(w)]TJ/F25 7.9701 Tf 7.81 -1.6363 Td[(i)]TJ/F15 10.9091 Tf 3.3813 1.6363 Td[('s,)-333(i.e.)]TJ/F24 10.9091 Tf 32.7879 0 Td[(w)]TJ/F15 10.9091 Tf 11.1338 0 Td[(=)]TJ/F30 10.9091 Tf 11.5151 8.1819 Td[(P)]TJ/F25 7.9701 Tf 11.5152 -3.1548 Td[(m)]TJ 0 -8.2525 Td[(i)]TJ/F22 7.9701 Tf 2.8831 0 Td[(=1)]TJ/F15 10.9091 Tf 11.3188 3.2254 Td[(\050)]TJ/F24 10.9091 Tf 4.2425 0 Td[(R)]TJ/F25 7.9701 Tf 8.3674 3.9588 Td[(\016)]TJ -0.0843 -7.0143 Td[(i)]TJ/F15 10.9091 Tf 4.6284 3.0555 Td[(\051)]TJ/F25 7.9701 Tf 4.2424 3.9588 Td[(T)]TJ/F24 10.9091 Tf 6.6045 -3.9588 Td[(w)]TJ/F25 7.9701 Tf 7.81 -1.6364 Td[(i)]TJ/F15 10.9091 Tf 3.3813 1.6364 Td[(.)]TJ -297.9922 -23.6673 Td[(Note)-294(th)1(at)-294(t)1(he)-294(li)1(near)-294(syste)-1(ms)-294(at)-293(s)-1(tep)-293(2)-293(are)-294(usual)1(ly)-293(s)-1(olv)28(ed)-293(app)1(ro)28(ximately)83(,)-301(e.g.)]TJ 0 -13.5492 Td[(usin)1(g)-350(i)1(ncom)-1(p)1(le)-1(t)1(e)-350(LU)-350(f)1(ac)-1(t)1(orizations)-349(s)-1(u)1(c)27(h)-349(as)-350(ILU\050)]TJ/F24 10.9091 Tf 232.2283 0 Td[(p)]TJ/F15 10.9091 Tf 5.4886 0 Td[(\051,)-353(MILU\050)]TJ/F24 10.9091 Tf 44.309 0 Td[(p)]TJ/F15 10.9091 Tf 5.4886 0 Td[(\051)-349(and)-349(ILU\050)]TJ/F24 10.9091 Tf 52.6216 0 Td[(p;)-167(t)]TJ/F15 10.9091 Tf 14.2765 0 Td[(\051)]TJ -354.4126 -13.5492 Td[([)]TJ +ET +1 0 0 1 144.7688 629.7034 cm +0 1 0 rg 0 1 0 RG +1 0 0 1 -144.7688 -629.7034 cm +BT +/F15 10.9091 Tf 144.7688 629.7034 Td[(14)]TJ +ET +1 0 0 1 155.6779 629.7034 cm 0 g 0 G - [(,)-330(where)-329(the)-329(strings)-328(used)-329(b)28(y)]TJ/F48 9.9626 Tf 207.7 0 Td [(mld_precinit)]TJ/F8 9.9626 Tf 66.04 0 Td [(to)-329(iden)28(tify)]TJ -273.74 -11.955 Td [(the)-333(preconditioner)-334(t)28(yp)-27(es)-334(are)-333(also)-334(giv)28(en.)]TJ +1 0 0 1 -155.6779 -629.7034 cm +BT +/F15 10.9091 Tf 155.6779 629.7034 Td[(,)-333(Chap)1(te)-1(r)-333(10].)]TJ 2.9971 -13.8371 Td[(A)-286(v)56(arian)29(t)-286(of)-286(th)1(e)-287(clas)-1(sical)-286(AS)-286(p)1(rec)-1(on)1(diti)1(oner)-286(th)1(at)-286(outp)-27(e)-1(r)1(forms)-286(it)-286(in)-285(te)-1(r)1(m)-1(s)]TJ -16.9365 -13.5492 Td[(of)-275(c)-1(on)28(v)28(ergence)-276(rate)-276(and)-275(of)-275(c)-1(omp)1(utation)-275(an)1(d)-276(comm)27(un)1(ication)-275(time)-276(on)-276(p)1(arall)1(e)-1(l)]TJ 0 -13.5492 Td[(di)1(s)-1(tr)1(ibu)1(te)-1(d)1(-m)-1(em)-1(or)1(y)-266(c)-1(ompu)1(ters)-267(is)-266(the)-266(s)-1(o-c)-1(al)1(le)-1(d)]TJ/F20 10.9091 Tf 221.2183 0 Td[(R)51(estricte)51(d)-296(AS)-297(\050)1(R)-1(AS\051)]TJ/F15 10.9091 Tf 102.2549 0 Td[(pr)1(e)-1(con-)]TJ -323.4732 -13.5492 Td[(di)1(tioner)-325([)]TJ +ET +1 0 0 1 185.3151 575.2186 cm +0 1 0 rg 0 1 0 RG +1 0 0 1 -185.3151 -575.2186 cm +BT +/F15 10.9091 Tf 185.3151 575.2186 Td[(5)]TJ +ET +1 0 0 1 190.7696 575.2186 cm 0 g 0 G - -12.73 -19.272 Td [(3.)]TJ +1 0 0 1 -190.7696 -575.2186 cm +BT +/F15 10.9091 Tf 190.7696 575.2186 Td[(,)]TJ +ET +1 0 0 1 197.3462 575.2186 cm +0 1 0 rg 0 1 0 RG +1 0 0 1 -197.3462 -575.2186 cm +BT +/F15 10.9091 Tf 197.3462 575.2186 Td[(10)]TJ +ET +1 0 0 1 208.2553 575.2186 cm 0 g 0 G -/F17 9.9626 Tf 12.73 0 Td [(Mo)51(dify)-348(the)-348(sele)51(cte)51(d)-348(pr)51(e)51(c)51(onditioner)-348(typ)51(e,)-350(by)-348(pr)51(op)51(erly)-348(setting)-349(pr)52(e)51(c)51(onditioner)]TJ 0 -11.955 Td [(p)51(ar)51(ameters.)]TJ/F8 9.9626 Tf 54.825 0 Td [(This)-330(is)-329(p)-28(erformed)-329(b)28(y)-330(the)-329(routine)]TJ/F48 9.9626 Tf 145.53 0 Td [(mld_precset)]TJ/F8 9.9626 Tf 57.534 0 Td [(.)-443(This)-330(routine)]TJ -257.889 -11.956 Td [(m)28(ust)-360(b)-27(e)-360(called)-359(only)-359(if)-360(t)1(he)-360(user)-359(w)28(an)27(ts)-359(to)-359(mo)-28(dify)-359(the)-360(default)-359(v)56(alues)-360(of)-359(the)]TJ 0 -11.955 Td [(parameters)-486(asso)-28(ciated)-486(to)-486(the)-485(s)-1(elected)-485(prec)-1(on)1(ditioner)-486(t)28(yp)-28(e,)-524(to)-486(obtain)-486(a)]TJ 0 -11.955 Td [(v)56(arian)27(t)-297(of)-298(the)-297(preconditioner.)-433(Examples)-297(of)-298(use)-297(of)]TJ/F48 9.9626 Tf 214.684 0 Td [(mld_precset)]TJ/F8 9.9626 Tf 60.499 0 Td [(is)-298(giv)28(en)-297(in)]TJ -275.183 -11.955 Td [(Section)]TJ -0 0 1 rg 0 0 1 RG - [-318(5.1)]TJ +1 0 0 1 -208.2553 -575.2186 cm +BT +/F15 10.9091 Tf 208.2553 575.2186 Td[(].)-441(It)-325(is)-326(ob)1(tain)1(e)-1(d)-324(b)28(y)-325(z)-1(eroi)1(ng)-325(the)-325(com)-1(p)-27(onen)28(ts)-325(of)]TJ/F24 10.9091 Tf 221.8249 0 Td[(w)]TJ/F25 7.9701 Tf 7.81 -1.6363 Td[(i)]TJ/F15 10.9091 Tf 6.9275 1.6364 Td[(corres)-1(p)-27(ond)1(-)]TJ -303.0792 -13.5492 Td[(in)1(g)-348(to)-348(the)-349(o)28(v)28(erlap)1(pin)1(g)-348(v)28(e)-1(r)1(tice)-1(s)-348(w)-1(h)1(e)-1(n)-347(app)1(lyin)1(g)-349(t)1(he)-349(p)1(rolon)1(gation)1(.)-489(Therefor)1(e)-1(,)]TJ 0 -13.5492 Td[(RAS)-301(d)1(i\013e)-1(rs)-301(fr)1(om)-302(class)-1(ical)-301(AS)-300(b)28(y)-301(the)-301(pr)1(olongati)1(on)-301(op)-27(e)-1(r)1(ators,)-308(whi)1(c)27(h)-301(ar)1(e)-302(sub)1(-)]TJ 0 -13.5492 Td[(stitut)1(e)-1(d)-326(b)28(y)-326(\050)]TJ 62.2728 2.7576 Td[(~)]TJ/F24 10.9091 Tf -2.3655 -2.7576 Td[(R)]TJ/F22 7.9701 Tf 8.3674 3.9588 Td[(0)]TJ/F25 7.9701 Tf -0.0843 -7.0143 Td[(i)]TJ/F15 10.9091 Tf 4.8166 3.0555 Td[(\051)]TJ/F25 7.9701 Tf 4.2424 3.9588 Td[(T)]TJ/F27 10.9091 Tf 9.6348 -3.9588 Td[(2)-277(<)]TJ/F25 7.9701 Tf 18.1818 3.9588 Td[(n)]TJ/F26 5.9776 Tf 5.1382 2.8128 Td[(\016)]TJ 0 -5.395 Td[(i)]TJ/F28 7.9701 Tf 4.0895 2.5822 Td[(\002)]TJ/F25 7.9701 Tf 6.5865 0 Td[(n)]TJ/F15 10.9091 Tf 5.6363 -3.9588 Td[(,)-327(w)-1(h)1(e)-1(r)1(e)]TJ 40.4397 2.7576 Td[(~)]TJ/F24 10.9091 Tf -2.3656 -2.7576 Td[(R)]TJ/F22 7.9701 Tf 8.3674 3.9588 Td[(0)]TJ/F25 7.9701 Tf -0.0842 -7.0143 Td[(i)]TJ/F15 10.9091 Tf 8.3762 3.0555 Td[(is)-327(ob)1(tain)1(e)-1(d)-326(b)29(y)-326(z)-1(eroin)1(g)-327(th)1(e)-327(ro)28(ws)-327(of)]TJ/F24 10.9091 Tf 164.4935 0 Td[(R)]TJ/F25 7.9701 Tf 8.3674 3.9588 Td[(\016)]TJ -0.0843 -7.0143 Td[(i)]TJ/F15 10.9091 Tf -354.0266 -10.4937 Td[(corres)-1(p)-27(ond)1(in)1(g)-334(to)-333(th)1(e)-334(v)28(e)-1(r)1(tice)-1(s)-334(i)1(n)]TJ/F24 10.9091 Tf 154.4547 0 Td[(W)]TJ/F25 7.9701 Tf 11.8182 3.9588 Td[(\016)]TJ -1.5152 -7.0143 Td[(i)]TJ/F27 10.9091 Tf 6.0593 3.0555 Td[(n)]TJ/F24 10.9091 Tf 5.4546 0 Td[(W)]TJ/F22 7.9701 Tf 11.8182 3.9588 Td[(0)]TJ/F25 7.9701 Tf -1.5152 -7.0143 Td[(i)]TJ/F15 10.9091 Tf 6.2475 3.0555 Td[(:)]TJ/F24 10.9091 Tf -81.7001 -34.0334 Td[(M)]TJ/F28 7.9701 Tf 11.7727 4.5879 Td[(\000)]TJ/F22 7.9701 Tf 6.5865 0 Td[(1)]TJ/F25 7.9701 Tf -7.7759 -8.022 Td[(R)-6(AS)]TJ/F15 10.9091 Tf 21.8945 3.4341 Td[(=)]TJ/F25 7.9701 Tf 15.6487 13.6364 Td[(m)]TJ/F30 10.9091 Tf -4.1336 -3.2727 Td[(X)]TJ/F25 7.9701 Tf 1.0269 -23.4509 Td[(i)]TJ/F22 7.9701 Tf 2.8831 0 Td[(=1)]TJ/F15 10.9091 Tf 11.8476 13.0872 Td[(\050)]TJ 6.608 2.7576 Td[(~)]TJ/F24 10.9091 Tf -2.3655 -2.7576 Td[(R)]TJ/F22 7.9701 Tf 8.3674 4.5043 Td[(0)]TJ/F25 7.9701 Tf -0.0843 -7.2012 Td[(i)]TJ/F15 10.9091 Tf 4.8166 2.6969 Td[(\051)]TJ/F25 7.9701 Tf 4.2424 4.5043 Td[(T)]TJ/F15 10.9091 Tf 6.6045 -4.5043 Td[(\050)]TJ/F24 10.9091 Tf 4.2425 0 Td[(A)]TJ/F25 7.9701 Tf 8.1818 4.5043 Td[(\016)]TJ 0 -7.2012 Td[(i)]TJ/F15 10.9091 Tf 4.5441 2.6969 Td[(\051)]TJ/F28 7.9701 Tf 4.2424 4.5043 Td[(\000)]TJ/F22 7.9701 Tf 6.5865 0 Td[(1)]TJ/F24 10.9091 Tf 4.7323 -4.5043 Td[(R)]TJ/F25 7.9701 Tf 8.3675 4.5043 Td[(\016)]TJ -0.0843 -7.2012 Td[(i)]TJ/F24 10.9091 Tf 4.6284 2.6969 Td[(:)]TJ/F15 10.9091 Tf -244.5028 -35.1789 Td[(Anal)1(ogously)83(,)-404(t)1(he)-390(AS)-390(v)56(arian)29(t)-390(c)-1(all)1(e)-1(d)]TJ/F20 10.9091 Tf 171.8214 0 Td[(AS)-410(w)-1(ith)-410(Harmonic)-410(ex)1(t)-1(ensi)1(o)-1(n)-410(\050ASH\051)]TJ/F15 10.9091 Tf 179.5003 0 Td[(is)]TJ -351.3217 -13.5492 Td[(de\014n)1(e)-1(d)-332(b)28(y)]TJ/F24 10.9091 Tf 110.5505 -22.1401 Td[(M)]TJ/F28 7.9701 Tf 11.7727 4.5878 Td[(\000)]TJ/F22 7.9701 Tf 6.5865 0 Td[(1)]TJ/F25 7.9701 Tf -7.7759 -8.0219 Td[(AS)-56(H)]TJ/F15 10.9091 Tf 23.0374 3.4341 Td[(=)]TJ/F25 7.9701 Tf 15.6487 13.6364 Td[(m)]TJ/F30 10.9091 Tf -4.1335 -3.2727 Td[(X)]TJ/F25 7.9701 Tf 1.0268 -23.4509 Td[(i)]TJ/F22 7.9701 Tf 2.8832 0 Td[(=1)]TJ/F15 10.9091 Tf 11.8476 13.0872 Td[(\050)]TJ/F24 10.9091 Tf 4.2424 0 Td[(R)]TJ/F25 7.9701 Tf 8.3674 4.5043 Td[(\016)]TJ -0.0842 -7.2012 Td[(i)]TJ/F15 10.9091 Tf 4.6283 2.6969 Td[(\051)]TJ/F25 7.9701 Tf 4.2425 4.5043 Td[(T)]TJ/F15 10.9091 Tf 6.6045 -4.5043 Td[(\050)]TJ/F24 10.9091 Tf 4.2424 0 Td[(A)]TJ/F25 7.9701 Tf 8.1818 4.5043 Td[(\016)]TJ 0 -7.2012 Td[(i)]TJ/F15 10.9091 Tf 4.5441 2.6969 Td[(\051)]TJ/F28 7.9701 Tf 4.2425 4.5043 Td[(\000)]TJ/F22 7.9701 Tf 6.5865 0 Td[(1)]TJ/F15 10.9091 Tf 7.0979 -1.7467 Td[(~)]TJ/F24 10.9091 Tf -2.3656 -2.7576 Td[(R)]TJ/F22 7.9701 Tf 8.3674 4.5043 Td[(0)]TJ/F25 7.9701 Tf -0.0842 -7.2012 Td[(i)]TJ/F24 10.9091 Tf 4.8165 2.6969 Td[(:)]TJ/F15 10.9091 Tf -245.0742 -30.2336 Td[(W)84(e)-376(n)1(ote)-375(that)-375(f)1(or)]TJ/F24 10.9091 Tf 85.1745 0 Td[(\016)]TJ/F15 10.9091 Tf 9.046 0 Td[(=)-347(0)-375(t)1(he)-375(thr)1(e)-1(e)-375(v)56(arian)28(t)1(s)-376(of)-374(the)-375(AS)-374(pr)1(e)-1(cond)1(ition)1(e)-1(r)-374(are)-375(all)]TJ -94.2205 -13.5492 Td[(equal)-333(to)-333(the)-333(blo)-27(c)27(k-Jac)-1(ob)1(i)-333(pr)1(e)-1(cond)1(ition)1(e)-1(r.)]TJ 16.9365 -13.8371 Td[(As)-338(already)-337(obse)-1(rv)28(ed,)-338(the)-338(con)28(v)28(e)-1(r)1(ge)-1(n)1(c)-1(e)-338(rate)-338(of)-337(the)-338(one-le)-1(v)28(el)-338(S)1(c)27(h)28(w)28(arz)-338(pr)1(e)-1(-)]TJ -16.9365 -13.5492 Td[(condi)1(tioned)-387(i)1(te)-1(r)1(ativ)28(e)-388(solv)28(ers)-388(d)1(e)-1(t)1(e)-1(ri)1(orates)-388(as)-387(the)-387(n)28(um)28(b)-28(er)]TJ/F24 10.9091 Tf 272.681 0 Td[(m)]TJ/F15 10.9091 Tf 13.8011 0 Td[(of)-387(p)1(artit)1(ions)-387(of)]TJ/F24 10.9091 Tf -286.4821 -13.5492 Td[(W)]TJ/F15 10.9091 Tf 15.7048 0 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g 0 G - -104.607 -19.272 Td [(5.)]TJ -0 g 0 G -/F17 9.9626 Tf 12.73 0 Td [(Apply)-342(the)-342(pr)51(e)51(c)52(onditioner)-342(at)-342(e)51(ach)-342(iter)51(ation)-342(of)-342(a)-342(Kry)1(lov)-342(solver.)]TJ/F8 9.9626 Tf 268.92 0 Td [(This)-316(is)-316(p)-28(er-)]TJ -268.92 -11.955 Td [(formed)-389(b)27(y)-389(the)-389(routine)]TJ/F48 9.9626 Tf 101.086 0 Td [(mld_precaply)]TJ/F8 9.9626 Tf 62.764 0 Td [(.)-613(When)-389(using)-389(the)-390(PSBLAS)-389(Krylo)28(v)]TJ -163.85 -11.956 Td [(solv)28(ers,)-245(this)-222(step)-222(is)-222(complete)-1(l)1(y)-223(transparen)28(t)-222(to)-222(the)-222(use)-1(r)1(,)-245(since)]TJ/F48 9.9626 Tf 256.151 0 Td [(mld_precaply)]TJ/F8 9.9626 Tf -256.151 -11.955 Td [(is)-222(called)-222(b)27(y)-222(the)-222(PSBLAS)-222(routine)-222(implemen)27(t)1(ing)-223(the)-222(Krylo)28(v)-222(solv)28(e)-1(r)-222(\050)]TJ/F48 9.9626 Tf 279.009 0 Td [(psb_krylov)]TJ/F8 9.9626 Tf 52.303 0 Td [(\051.)]TJ -0 g 0 G - -344.042 -19.272 Td [(6.)]TJ -0 g 0 G -/F17 9.9626 Tf 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1 495.3261 660.1015 cm q -1 0 0 1 532.554 149.461 cm -[]0 d 0 J 0.398 w 0 0 m 0 35.866 l S +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 40.6476 l +S Q +1 0 0 1 -348.9187 -13.5492 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 13.5492 l +S +Q +1 0 0 1 -146.4074 -646.5523 cm BT -/F8 9.9626 Tf 538.532 176.958 Td [('ADD')]TJ 0 -11.955 Td [('MUL)83(T')]TJ +/F15 10.9091 Tf 152.5843 650.6171 Td[(Diagon)1(al)]TJ ET +1 0 0 1 244.1809 646.5523 cm q -1 0 0 1 601.202 149.461 cm -[]0 d 0 J 0.398 w 0 0 m 0 35.866 l S +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 13.5492 l +S Q +1 0 0 1 -244.1809 -646.5523 cm BT -/F8 9.9626 Tf 607.18 176.958 Td [('MUL)83(T')]TJ +/F48 10.9091 Tf 250.3578 650.6171 Td[('DIAG')]TJ ET +1 0 0 1 301.9538 646.5523 cm q -1 0 0 1 647.888 149.461 cm -[]0 d 0 J 0.398 w 0 0 m 0 35.866 l S +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 13.5492 l +S Q +1 0 0 1 -301.9538 -646.5523 cm BT -/F8 9.9626 Tf 653.866 176.958 Td [(basic)-359(m)28(ulti-lev)28(el)-359(framew)28(ork:)-496(additiv)28(e)-359(or)-359(m)28(ul-)]TJ 0 -11.955 Td [(tiplicativ)28(e)-239(among)-239(the)-239(lev)28(els)-239(alw)28(a)27(ys)-239(add)1(itiv)27(e)-239(in-)]TJ 0 -11.956 Td [(side)-333(a)-334(lev)28(el\051)]TJ +/F15 10.9091 Tf 308.1306 650.6171 Td[(|)]TJ ET +1 0 0 1 495.3261 646.5523 cm q -1 0 0 1 858.269 149.461 cm -[]0 d 0 J 0.398 w 0 0 m 0 35.866 l S +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 13.5492 l +S Q +1 0 0 1 -348.9187 -27.0984 cm q -1 0 0 1 330.812 113.595 cm -[]0 d 0 J 0.398 w 0 0 m 0 35.866 l S +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 27.0984 l +S Q +1 0 0 1 -146.4074 -619.4539 cm BT -/F48 9.9626 Tf 336.79 141.092 Td [(mld_smoother_type_)]TJ +/F15 10.9091 Tf 152.5843 637.0679 Td[(Blo)-28(c)27(k)-333(Jacobi)]TJ ET +1 0 0 1 244.1809 619.4539 cm q -1 0 0 1 436.914 113.595 cm -[]0 d 0 J 0.398 w 0 0 m 0 35.866 l S +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 27.0984 l +S Q +1 0 0 1 -244.1809 -619.4539 cm BT -/F48 9.9626 Tf 442.891 141.092 Td [(character\050len=*\051)]TJ +/F48 10.9091 Tf 250.3578 637.0679 Td[('BJAC')]TJ ET +1 0 0 1 301.9538 619.4539 cm q -1 0 0 1 532.554 113.595 cm -[]0 d 0 J 0.398 w 0 0 m 0 35.866 l S +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 27.0984 l +S Q +1 0 0 1 -301.9538 -619.4539 cm BT -/F8 9.9626 Tf 538.532 141.092 Td [('DIA)28(G')]TJ 0 -11.955 Td [('BJA)28(C')]TJ 0 -11.955 Td [('AS')]TJ +/F15 10.9091 Tf 308.1306 637.0679 Td[(Blo)-28(c)27(k)-324(Jac)-1(ob)1(i)-325(with)-324(ILU\0500\051)-325(on)-324(the)-325(lo)-28(cal)]TJ 0 -13.5492 Td[(bl)1(o)-28(c)27(ks.)]TJ ET +1 0 0 1 495.3261 619.4539 cm q -1 0 0 1 601.202 113.595 cm -[]0 d 0 J 0.398 w 0 0 m 0 35.866 l S +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 27.0984 l +S Q -BT -/F8 9.9626 Tf 607.18 141.092 Td [('AS')]TJ -ET +1 0 0 1 -348.9187 -40.6476 cm q -1 0 0 1 647.888 113.595 cm -[]0 d 0 J 0.398 w 0 0 m 0 35.866 l S +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 40.6476 l +S Q +1 0 0 1 -146.4074 -578.8063 cm BT -/F8 9.9626 Tf 653.866 141.092 Td [(basic)-398(one-lev)28(el)-398(preconditioner)-398(\050i.e.)-398(smo)-28(other\051)]TJ 0 -11.955 Td [(of)-333(the)-334(m)28(ulti-lev)28(el)-333(preconditioner)]TJ +/F15 10.9091 Tf 152.5843 609.9695 Td[(Add)1(itiv)28(e)-333(Sc)27(h)29(w)27(ar)1(z)]TJ ET +1 0 0 1 244.1809 578.8063 cm q -1 0 0 1 858.269 113.595 cm -[]0 d 0 J 0.398 w 0 0 m 0 35.866 l S -Q -q -1 0 0 1 330.812 77.73 cm -[]0 d 0 J 0.398 w 0 0 m 0 35.866 l S +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 40.6476 l +S Q +1 0 0 1 -244.1809 -578.8063 cm BT -/F48 9.9626 Tf 336.79 105.227 Td [(mld_smoother_pos_)]TJ +/F48 10.9091 Tf 250.3578 609.9695 Td[('AS')]TJ ET +1 0 0 1 301.9538 578.8063 cm q -1 0 0 1 436.914 77.73 cm -[]0 d 0 J 0.398 w 0 0 m 0 35.866 l S +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 40.6476 l +S Q +1 0 0 1 -301.9538 -578.8063 cm BT -/F48 9.9626 Tf 442.891 105.227 Td [(character\050len=*\051)]TJ +/F15 10.9091 Tf 308.1306 609.9695 Td[(Re)-1(stri)1(c)-1(ted)-595(Ad)1(diti)1(v)28(e)-596(Sc)28(h)28(w)28(arz)-596(\050RAS)1(\051,)]TJ 0 -13.5492 Td[(with)-278(o)28(v)28(erlap)-277(1)-278(and)-278(ILU\0500\051)-278(on)-277(the)-278(lo)-28(cal)]TJ 0 -13.5492 Td[(bl)1(o)-28(c)27(ks.)]TJ ET +1 0 0 1 495.3261 578.8063 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 40.6476 l +S +Q +1 0 0 1 -348.9187 -189.6887 cm q -1 0 0 1 532.554 77.73 cm -[]0 d 0 J 0.398 w 0 0 m 0 35.866 l S +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 189.6887 l +S Q +1 0 0 1 -146.4074 -389.1176 cm BT -/F8 9.9626 Tf 538.532 105.227 Td [('PRE')]TJ 0 -11.955 Td [('POST')]TJ 0 -11.956 Td [('TW)28(OSIDE')]TJ +/F15 10.9091 Tf 152.5843 569.322 Td[(Mu)1(ltil)1(e)-1(v)28(el)]TJ ET +1 0 0 1 244.1809 389.1176 cm q -1 0 0 1 601.202 77.73 cm -[]0 d 0 J 0.398 w 0 0 m 0 35.866 l S +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 189.6887 l +S Q +1 0 0 1 -244.1809 -389.1176 cm BT -/F8 9.9626 Tf 607.18 105.227 Td [('POST')]TJ +/F48 10.9091 Tf 250.3578 569.322 Td[('ML')]TJ ET +1 0 0 1 301.9538 389.1176 cm q -1 0 0 1 647.888 77.73 cm -[]0 d 0 J 0.398 w 0 0 m 0 35.866 l S +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 189.6887 l +S Q +1 0 0 1 -301.9538 -389.1176 cm BT -/F8 9.9626 Tf 653.866 105.227 Td [(\134p)-28(osition")-623(of)-622(the)-623(smo)-28(other:)-1023(pre-smo)-28(other,)]TJ 0 -11.955 Td [(p)-28(ost-smo)-28(other,)-333(pre-/p)-28(ost-smo)-28(other)]TJ +/F15 10.9091 Tf 308.1306 569.322 Td[(Mu)1(lti-lev)28(e)-1(l)-346(h)29(ybr)1(id)-346(p)1(rec)-1(on)1(diti)1(oner)-346(\050ad-)]TJ 0 -13.5492 Td[(di)1(tiv)28(e)-674(on)-673(th)1(e)-674(s)-1(ame)-674(lev)28(e)-1(l)-673(and)-673(m)28(ul-)]TJ 0 -13.5492 Td[(tip)1(licativ)28(e)-611(th)1(rou)1(gh)-610(the)-610(le)-1(v)28(els\051,)-679(w)-1(i)1(th)]TJ 0 -13.5492 Td[(p)-27(os)-1(t-sm)-1(o)-28(ot)1(hin)1(g)-413(only)84(.)-683(Nu)1(m)27(b)-27(e)-1(r)-412(of)-413(l)1(e)-1(v-)]TJ 0 -13.5492 Td[(els)-1(:)-999(2.)-1278(P)28(ost-s)-1(mo)-28(oth)1(e)-1(r)1(:)-1000(RAS)-610(w)-1(i)1(th)]TJ 0 -13.5492 Td[(o)28(v)28(e)-1(r)1(lap)-648(1)-649(an)1(d)-648(ILU\0500\051)-649(on)-648(th)1(e)-649(lo)-28(cal)]TJ 0 -13.5492 Td[(bl)1(o)-28(c)27(ks.)-440(Aggr)1(e)-1(gati)1(on:)-437(s)-1(mo)-28(oth)1(e)-1(d)-318(aggre)-1(-)]TJ 0 -13.5492 Td[(gation)-344(w)-1(i)1(th)-345(th)1(re)-1(shol)1(d)]TJ/F24 10.9091 Tf 106.539 0 Td[(\022)]TJ/F15 10.9091 Tf 8.6696 0 Td[(=)-297(0.)-480(Coarse)-1(st)]TJ -115.2086 -13.5492 Td[(matrix)1(:)-421(d)1(is)-1(t)1(rib)1(uted)-285(am)-1(on)1(g)-286(th)1(e)-286(pr)1(o)-28(c)-1(es)-1(-)]TJ 0 -13.5492 Td[(sors)-1(.)-644(Coar)1(s)-1(e-)-1(l)1(e)-1(v)28(el)-400(solv)28(e)-1(r)1(:)-578(4)-400(sw)27(eeps)-400(of)]TJ 0 -13.5492 Td[(th)1(e)-421(b)1(lo)-28(c)27(k)1(-)-1(Jacobi)-419(s)-1(olv)28(er,)-441(with)-420(LU)-420(f)1(ac)-1(-)]TJ 0 -13.5492 Td[(tori)1(z)-1(ati)1(on)-496(of)-495(th)1(e)-496(blo)-28(c)28(ks)-496(\050UMF)1(P)83(A)28(CK)]TJ 0 -13.5492 Td[(for)-448(th)1(e)-450(d)1(oub)1(le)-449(precis)-1(i)1(on)-449(v)28(ersions)-449(an)1(d)]TJ 0 -13.5492 Td[(Su)1(p)-27(e)-1(rLU)-312(for)-312(the)-313(sin)1(gle)-313(pr)1(e)-1(cis)-1(i)1(on)-313(on)1(e)-1(s\051)]TJ ET +1 0 0 1 495.3261 389.1176 cm q -1 0 0 1 858.269 77.73 cm -[]0 d 0 J 0.398 w 0 0 m 0 35.866 l S +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 189.6887 l +S Q +1 0 0 1 -348.7194 -0.3985 cm q -1 0 0 1 330.812 77.531 cm -[]0 d 0 J 0.398 w 0 0 m 527.456 0 l S +[]0 d +0 J +0.3985 w +0 0.1992 m +348.9187 0.1992 l +S Q +1 0 0 1 -2.056 -30.4898 cm 0 g 0 G +1 0 0 1 -144.5507 -358.2293 cm BT -/F8 9.9626 Tf 444.81 49.491 Td [(T)83(able)-333(2:)-444(P)27(arameters)-333(de\014ning)-333(the)-334(t)28(yp)-28(e)-333(of)-333(m)28(ulti-lev)27(el)-333(preconditioner.)]TJ +/F15 10.9091 Tf 144.5507 358.2293 Td[(T)83(ab)1(le)-334(1:)-444(Pr)1(e)-1(cond)1(ition)1(e)-1(r)-333(t)28(yp)-27(e)-1(s,)-333(c)-1(or)1(res)-1(p)-27(ond)1(ing)-333(strin)1(gs)-334(and)-332(defaul)1(t)-334(c)28(hoices)-1(.)]TJ +ET +1 0 0 1 497.5813 358.2293 cm 0 g 0 G +1 0 0 1 -355.8428 -2.1212 cm 0 g 0 G +1 0 0 1 -141.7385 -356.1081 cm +BT +/F15 10.9091 Tf 141.7385 324.9914 Td[(pl)1(e)-273(\050s)-1(ee)-273(Sec)-1(ti)1(on)]TJ ET -1 0 0 1 296.658 120.326 cm -Q -0 g 0 G +1 0 0 1 217.3875 324.9914 cm +0 0 1 rg 0 0 1 RG +1 0 0 1 -217.3875 -324.9914 cm +BT +/F15 10.9091 Tf 217.3875 324.9914 Td[(7)]TJ +ET +1 0 0 1 222.842 324.9914 cm 0 g 0 G +1 0 0 1 -222.842 -324.9914 cm +BT +/F15 10.9091 Tf 225.8159 324.9914 Td[(for)-272(d)1(e)-1(tail)1(s)-1(\051.)-424(If)-272(th)1(e)-1(se)-273(v)28(e)-1(r)1(s)-1(ion)1(s)-273(are)-273(in)1(s)-1(tal)1(le)-1(d)1(,)-285(th)1(e)-273(c)-1(or)1(res)-1(p)-27(ond)1(-)]TJ -84.0774 -13.5492 Td[(in)1(g)-334(F)84(ortr)1(an)-333(95)-334(co)-28(d)1(e)-1(s)-334(ar)1(e)-334(a)28(v)56(ailabl)1(e)-334(in)]TJ/F48 10.9091 Tf 177.5759 0 Td[(examples/fileread/)]TJ/F15 10.9091 Tf 106.7261 0 Td[(with)-333(th)1(e)-1(se)-1(.)]TJ -267.3655 -13.6655 Td[(Di\013ere)-1(n)29(t)-222(v)28(e)-1(rsion)1(s)-223(of)-222(m)28(ulti)1(-)-1(l)1(e)-1(v)28(el)-222(precondi)1(tioners)-222(c)-1(an)-222(b)-27(e)-223(ob)1(tain)1(e)-1(d)-222(b)29(y)-222(c)27(han)1(g-)]TJ -16.9365 -13.5492 Td[(in)1(g)-337(the)-337(defau)1(lt)-337(v)56(alu)1(e)-1(s)-337(of)-337(th)1(e)-338(p)1(rec)-1(on)1(dit)1(ioner)-337(p)1(arame)-1(ters.)-455(T)-1(h)1(e)-338(co)-28(d)1(e)-338(r)1(e)-1(p)-27(orted)]TJ 0 -13.5492 Td[(in)-398(Figu)1(re)]TJ +ET +1 0 0 1 190.3149 270.6783 cm +0 0 1 rg 0 0 1 RG +1 0 0 1 -190.3149 -270.6783 cm +BT +/F15 10.9091 Tf 190.3149 270.6783 Td[(3)]TJ +ET +1 0 0 1 195.7694 270.6783 cm +0 g 0 G +1 0 0 1 -195.7694 -270.6783 cm +BT +/F15 10.9091 Tf 200.1182 270.6783 Td[(sho)28(ws)-400(h)1(o)28(w)-399(to)-399(se)-1(t)-398(a)-399(th)1(ree)-1(-lev)28(e)-1(l)-398(h)28(yb)1(rid)-398(S)1(c)27(h)28(w)28(arz)-399(pr)1(e)-1(cond)1(ition)1(e)-1(r)1(,)]TJ -58.3797 -13.5492 Td[(whic)28(h)-356(use)-1(s)-357(bl)1(o)-28(c)27(k)-356(Jac)-1(ob)1(i)-357(with)-356(ILU\0500\051)-357(on)-356(th)1(e)-357(lo)-28(cal)-357(b)1(lo)-28(c)27(k)1(s)-358(as)-357(p)-27(os)-1(t)1(-)-1(sm)-1(o)-27(other,)]TJ 0 -13.5492 Td[(has)-346(a)-345(c)-1(oar)1(s)-1(es)-1(t)-345(matrix)-345(repli)1(c)-1(ated)-345(on)-345(the)-346(p)1(ro)-28(ce)-1(ss)-1(or)1(s)-1(,)-348(and)-345(solv)28(e)-1(s)-346(t)1(he)-346(coars)-1(est-)]TJ 0 -13.5492 Td[(lev)28(e)-1(l)-398(s)-1(ystem)-400(with)-398(the)-399(LU)-399(factori)1(z)-1(ati)1(on)-399(fr)1(om)-400(UM)1(FP)84(A)28(C)-1(K)-398([)]TJ +ET +1 0 0 1 422.6498 230.0307 cm +0 1 0 rg 0 1 0 RG +1 0 0 1 -422.6498 -230.0307 cm +BT +/F15 10.9091 Tf 422.6498 230.0307 Td[(8)]TJ +ET +1 0 0 1 428.1043 230.0307 cm +0 g 0 G +1 0 0 1 -428.1043 -230.0307 cm +BT +/F15 10.9091 Tf 428.1043 230.0307 Td[(].)-641(The)-399(n)28(um)28(b)-27(e)-1(r)]TJ -286.3658 -13.5492 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158.1022 445.0143 Td[(\017)]TJ +ET +1 0 0 1 163.5567 445.0143 cm 0 g 0 G - [(],)-333(v)27(ersion)-333(3.0)]TJ +1 0 0 1 -163.5567 -445.0143 cm +BT +/F15 10.9091 Tf 169.0113 445.0143 Td[(th)1(e)-404(p)1(rec)-1(on)1(diti)1(oner)-403(dat)1(a)-403(s)-1(tr)1(uctur)1(e)-404(m)28(ust)-403(b)-27(e)-404(of)-402(t)28(yp)-27(e)]TJ/F48 10.9091 Tf 247.524 0 Td[(mld_)]TJ/F20 10.9091 Tf 22.9088 0 Td[(x)]TJ/F48 10.9091 Tf 6.3742 0 Td[(prec_type)]TJ/F15 10.9091 Tf 51.5449 0 Td[(,)]TJ -328.3519 -13.5492 Td[(with)]TJ/F20 10.9091 Tf 24.8485 0 Td[(x)]TJ/F15 10.9091 Tf 10.0105 0 Td[(=)]TJ/F48 10.9091 Tf 12.1213 0 Td[(s)]TJ/F15 10.9091 Tf 5.7272 0 Td[(,)]TJ/F48 10.9091 Tf 6.6667 0 Td[(d)]TJ/F15 10.9091 Tf 5.7272 0 Td[(,)]TJ/F48 10.9091 Tf 6.6666 0 Td[(c)]TJ/F15 10.9091 Tf 5.7272 0 Td[(,)]TJ/F48 10.9091 Tf 6.6667 0 Td[(z)]TJ/F15 10.9091 Tf 5.7272 0 Td[(,)-333(ac)-1(cord)1(ing)-333(to)-333(the)-333(s)-1(p)1(arse)-334(m)-1(at)1(rix)-333(dat)1(a)-334(stru)1(c)-1(tu)1(re;)]TJ ET -q -1 0 0 1 850.562 84.261 cm -[]0 d 0 J 0.398 w 0 0 m 0 71.731 l S -Q -q -1 0 0 1 338.519 60.351 cm -[]0 d 0 J 0.398 w 0 0 m 0 23.91 l S -Q +1 0 0 1 141.7385 399.0258 cm +0 g 0 G +1 0 0 1 -141.7385 -399.0258 cm BT -/F48 9.9626 Tf 344.497 75.892 Td [(mld_sub_fillin_)]TJ +/F27 10.9091 Tf 158.1022 399.0258 Td[(\017)]TJ ET -q -1 0 0 1 428.93 60.351 cm -[]0 d 0 J 0.398 w 0 0 m 0 23.91 l S -Q +1 0 0 1 163.5567 399.0258 cm +0 g 0 G +1 0 0 1 -163.5567 -399.0258 cm BT -/F48 9.9626 Tf 434.907 75.892 Td [(integer)]TJ +/F15 10.9091 Tf 169.0113 399.0258 Td[(th)1(e)-418(arra)28(ys)-417(c)-1(on)28(tai)1(nin)1(g)-418(t)1(he)-418(v)28(ec)-1(tor)1(s)]TJ/F24 10.9091 Tf 165.0989 0 Td[(v)]TJ/F15 10.9091 Tf 10.2324 0 Td[(and)]TJ/F24 10.9091 Tf 22.1289 0 Td[(w)]TJ/F15 10.9091 Tf 12.6566 0 Td[(in)28(v)28(ol)1(v)28(e)-1(d)-417(i)1(n)-417(the)-418(p)1(rec)-1(on)1(di-)]TJ -210.1168 -13.5492 Td[(tion)1(e)-1(r)-356(app)1(lication)]TJ/F24 10.9091 Tf 88.4224 0 Td[(w)]TJ/F15 10.9091 Tf 11.5615 0 Td[(=)]TJ/F24 10.9091 Tf 11.9428 0 Td[(M)]TJ/F28 7.9701 Tf 11.7727 3.9588 Td[(\000)]TJ/F22 7.9701 Tf 6.5865 0 Td[(1)]TJ/F24 10.9091 Tf 4.7323 -3.9588 Td[(v)]TJ/F15 10.9091 Tf 9.5723 0 Td[(m)27(u)1(s)-1(t)-356(b)-28(e)-357(of)-356(t)28(yp)-28(e)]TJ/F20 10.9091 Tf 79.875 0 Td[(typ)51(e)]TJ/F48 10.9091 Tf 19.7771 0 Td[(\050)]TJ/F20 10.9091 Tf 5.7272 0 Td[(kind)]TJ ET +1 0 0 1 439.7227 385.4766 cm q -1 0 0 1 524.57 60.351 cm -[]0 d 0 J 0.398 w 0 0 m 0 23.91 l S +[]0 d +0 J +0.3985 w +0 0.1992 m +3.3455 0.1992 l +S Q +1 0 0 1 -439.7227 -385.4766 cm BT -/F8 9.9626 Tf 530.548 75.892 Td [(an)28(y)-827(n)28(um)28(b)-28(er)]TJ/F14 9.9626 Tf 0 -11.955 Td [(\025)]TJ/F8 9.9626 Tf 10.516 0 Td [(0)]TJ +/F20 10.9091 Tf 443.0682 385.4766 Td[(p)51(ar)51(ameter)]TJ/F48 10.9091 Tf 48.5678 0 Td[(\051)]TJ/F15 10.9091 Tf 5.7272 0 Td[(,)]TJ -328.3519 -13.5492 Td[(with)]TJ/F20 10.9091 Tf 23.6364 0 Td[(typ)51(e)]TJ/F15 10.9091 Tf 22.2013 0 Td[(=)]TJ/F48 10.9091 Tf 10.9091 0 Td[(real)]TJ/F15 10.9091 Tf 22.9089 0 Td[(,)]TJ/F48 10.9091 Tf 5.697 0 Td[(complex)]TJ/F15 10.9091 Tf 42.5147 0 Td[(and)]TJ/F20 10.9091 Tf 20 0 Td[(kind)]TJ ET +1 0 0 1 337.6203 371.9274 cm q -1 0 0 1 593.218 60.351 cm -[]0 d 0 J 0.398 w 0 0 m 0 23.91 l S +[]0 d +0 J +0.3985 w +0 0.1992 m +3.3455 0.1992 l +S Q +1 0 0 1 -337.6203 -371.9274 cm BT -/F8 9.9626 Tf 599.196 75.892 Td [(0)]TJ +/F20 10.9091 Tf 340.9658 371.9274 Td[(p)51(ar)51(ameter)]TJ/F15 10.9091 Tf 50.9921 0 Td[(=)]TJ/F48 10.9091 Tf 10.9091 0 Td[(kind\0501.e0\051)]TJ/F15 10.9091 Tf 57.2721 0 Td[(,)]TJ/F48 10.9091 Tf 5.697 0 Td[(kind\0501.d0\051)]TJ/F15 10.9091 Tf 57.2721 0 Td[(,)]TJ -354.0969 -13.5492 Td[(acc)-1(ord)1(in)1(g)-533(t)1(o)-533(th)1(e)-533(spar)1(s)-1(e)-532(m)-1(atr)1(ix)-532(and)-531(precondi)1(tioner)-532(d)1(ata)-532(s)-1(tr)1(uctur)1(e)-1(;)]TJ 0 -13.5492 Td[(not)1(e)-350(that)-349(t)1(he)-350(P)1(SBLAS)-349(mo)-28(d)1(ule)]TJ/F48 10.9091 Tf 151.9249 0 Td[(psb_base_mod)]TJ/F15 10.9091 Tf 72.5358 0 Td[(pr)1(o)28(vides)-350(th)1(e)-350(constan)28(ts)]TJ/F48 10.9091 Tf -224.4607 -13.5492 Td[(psb_spk_)]TJ/F15 10.9091 Tf 49.454 0 Td[(=)]TJ/F48 10.9091 Tf 12.1213 0 Td[(kind\0501.e0\051)]TJ/F15 10.9091 Tf 60.9084 0 Td[(and)]TJ/F48 10.9091 Tf 21.2122 0 Td[(psb_dpk_)]TJ/F15 10.9091 Tf 49.454 0 Td[(=)]TJ/F48 10.9091 Tf 12.1212 0 Td[(kind\0501.d0\051)]TJ/F15 10.9091 Tf 57.2722 0 Td[(;)]TJ ET -q -1 0 0 1 640.181 60.351 cm -[]0 d 0 J 0.398 w 0 0 m 0 23.91 l S -Q +1 0 0 1 141.7385 298.8406 cm +0 g 0 G +1 0 0 1 -141.7385 -298.8406 cm BT -/F8 9.9626 Tf 646.159 75.892 Td [(\014ll-in)-470(lev)28(el)-470(for)-470('ILU',)-470('MILU')-469(and)-470('ILUT')-470(of)]TJ 0 -11.955 Td [(lo)-28(cal)-333(blo)-28(c)28(ks)]TJ +/F27 10.9091 Tf 158.1022 298.8406 Td[(\017)]TJ ET -q -1 0 0 1 850.562 60.351 cm -[]0 d 0 J 0.398 w 0 0 m 0 23.91 l S -Q -q -1 0 0 1 338.519 36.44 cm -[]0 d 0 J 0.398 w 0 0 m 0 23.91 l S -Q +1 0 0 1 163.5567 298.8406 cm +0 g 0 G +1 0 0 1 -163.5567 -298.8406 cm BT -/F48 9.9626 Tf 344.497 51.982 Td [(mld_sub_thresh_)]TJ +/F15 10.9091 Tf 169.0113 298.8406 Td[(real)-231(p)1(arame)-1(ters)-231(d)1(e)-1(\014)1(nin)1(g)-231(the)-231(p)1(rec)-1(on)1(diti)1(oner)-231(m)28(ust)-231(b)-27(e)-232(d)1(e)-1(clared)-230(ac)-1(cord)1(ing)]TJ 0 -13.5492 Td[(to)-333(the)-333(prec)-1(i)1(s)-1(ion)-332(of)-333(the)-334(p)1(reviou)1(s)-334(data)-333(stru)1(c)-1(tu)1(res)-334(\050s)-1(ee)-334(S)1(e)-1(ction)]TJ ET -q -1 0 0 1 428.93 36.44 cm -[]0 d 0 J 0.398 w 0 0 m 0 23.91 l S -Q +1 0 0 1 457.3146 285.2914 cm +0 0 1 rg 0 0 1 RG +1 0 0 1 -457.3146 -285.2914 cm BT -/F48 9.9626 Tf 434.907 51.982 Td [(real)]TJ +/F15 10.9091 Tf 457.3146 285.2914 Td[(7.2)]TJ ET -q -1 0 0 1 524.57 36.44 cm -[]0 d 0 J 0.398 w 0 0 m 0 23.91 l S -Q +1 0 0 1 471.254 285.2914 cm +0 g 0 G +1 0 0 1 -471.254 -285.2914 cm BT -/F8 9.9626 Tf 530.548 51.982 Td [(an)28(y)-827(n)28(um)28(b)-28(er)]TJ/F14 9.9626 Tf 0 -11.955 Td [(\025)]TJ/F8 9.9626 Tf 10.516 0 Td [(0)]TJ/F11 9.9626 Tf 4.981 0 Td [(:)]TJ +/F15 10.9091 Tf 471.254 285.2914 Td[(\051.)]TJ -329.5155 -32.4392 Td[(A)-333(des)-1(crip)1(tion)-333(of)-333(eac)27(h)-333(r)1(outin)1(e)-334(is)-333(giv)28(e)-1(n)-333(i)1(n)-333(the)-333(re)-1(main)1(der)-333(of)-333(thi)1(s)-334(s)-1(ection.)]TJ/F19 11.9552 Tf 0 -43.3902 Td[(7.)-1(1)-1125(Subr)-1(out)-1(ine)-376(ml)-1(d)]TJ ET +1 0 0 1 264.7607 209.462 cm q -1 0 0 1 593.218 36.44 cm -[]0 d 0 J 0.398 w 0 0 m 0 23.91 l S +[]0 d +0 J +0.3985 w +0 0.1992 m +4.0349 0.1992 l +S Q +1 0 0 1 -264.7607 -209.462 cm BT -/F8 9.9626 Tf 599.196 51.982 Td [(0.)]TJ +/F19 11.9552 Tf 268.7956 209.462 Td[(pre)-1(cini)-1(t)]TJ ET -q -1 0 0 1 640.181 36.44 cm -[]0 d 0 J 0.398 w 0 0 m 0 23.91 l S -Q +1 0 0 1 241.1577 184.0473 cm +0 g 0 G +0 g 0 G +1 0 0 1 -241.1577 -184.0473 cm BT -/F8 9.9626 Tf 646.159 51.982 Td [(drop)-333(tolerance)-334(for)-333('ILUT')]TJ +/F48 10.9091 Tf 246.6123 184.0473 Td[(mld_precinit\050p,ptype,info\051)]TJ -14.3181 -13.5492 Td[(mld_precinit\050p,ptype,info,nlev\051)]TJ/F15 10.9091 Tf -90.5557 -35.428 Td[(This)-355(rou)1(tine)-355(allo)-28(cates)-356(an)1(d)-355(in)1(itiali)1(z)-1(es)-356(th)1(e)-356(pr)1(e)-1(cond)1(ition)1(e)-1(r)-354(data)-355(structu)1(re)-1(,)-360(ac-)]TJ 0 -13.5492 Td[(cordi)1(ng)-333(to)-334(t)1(he)-334(p)1(rec)-1(on)1(diti)1(oner)-333(t)27(y)1(p)-28(e)-333(c)27(hose)-1(n)-332(b)28(y)-333(the)-334(u)1(s)-1(er.)]TJ ET -q -1 0 0 1 850.562 36.44 cm -[]0 d 0 J 0.398 w 0 0 m 0 23.91 l S -Q -q -1 0 0 1 338.519 12.53 cm -[]0 d 0 J 0.398 w 0 0 m 0 23.91 l S -Q +1 0 0 1 141.7385 91.633 cm +0 g 0 G +1 0 0 1 358.655 0 cm +0 g 0 G +endstream +endobj +404 0 obj << +/Type /Page +/Contents 405 0 R +/Resources 403 0 R +/MediaBox [0 0 595.2756 841.8898] +/Parent 387 0 R +/Annots [ 407 0 R ] +>> endobj +407 0 obj << +/Type /Annot +/Border[0 0 0]/H/I/C[1 0 0] +/Rect [456.3183 281.5679 472.2503 294.4695] +/Subtype /Link +/A << /S /GoTo /D (subsection.7.2) >> +>> endobj +406 0 obj << +/D [404 0 R /XYZ 141.7385 740.0018 null] +>> endobj +62 0 obj << +/D [404 0 R /XYZ 141.7385 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[('RENUM)]TJ +/F41 10.9091 Tf 93.9178 704.1363 Td[(Argumen)32(ts)]TJ/F48 10.9091 Tf 5.9776 -19.6473 Td[(p)-3689(type\050mld_)]TJ/F20 10.9091 Tf 97.5157 0 Td[(x)]TJ/F48 10.9091 Tf 6.3742 0 Td[(prec_type\051,)-525(intent\050inout\051)]TJ/F15 10.9091 Tf 143.1803 0 Td[(.)]TJ -201.0994 -13.5492 Td[(The)-267(prec)-1(on)1(di)1(tioner)-267(dat)1(a)-268(stru)1(c)-1(tu)1(re.)-422(Note)-268(th)1(at)]TJ/F20 10.9091 Tf 216.6391 0 Td[(x)]TJ/F15 10.9091 Tf 9.2894 0 Td[(m)27(u)1(s)-1(t)-267(b)-27(e)-268(c)28(hose)-1(n)]TJ -225.9285 -13.5492 Td[(acc)-1(ord)1(in)1(g)-352(to)-352(the)-352(real/c)-1(ompl)1(e)-1(x,)-356(single/dou)1(bl)1(e)-353(p)1(re)-1(cision)-352(v)28(ersion)]TJ 0 -13.5492 Td[(of)-333(MLD)1(2P4)-333(un)1(der)-333(use)-1(.)]TJ/F48 10.9091 Tf -45.9708 -13.5492 Td[(ptype)-1589(character\050len=*\051,)-525(intent\050in\051)]TJ/F15 10.9091 Tf 206.3327 0 Td[(.)]TJ -160.3619 -13.5492 Td[(The)-331(t)27(y)1(p)-28(e)-331(of)-331(pr)1(e)-1(cond)1(ition)1(e)-1(r.)-443(Its)-332(v)56(alu)1(e)-1(s)-332(ar)1(e)-332(sp)-28(ec)-1(i)1(\014ed)-331(in)-331(T)83(ab)1(le)]TJ ET -q -1 0 0 1 572.103 28.271 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S -Q +1 0 0 1 435.0192 616.7431 cm +0 0 1 rg 0 0 1 RG +1 0 0 1 -435.0192 -616.7431 cm BT -/F8 9.9626 Tf 575.092 28.072 Td [(NONE',)]TJ -44.544 -11.956 Td [('RENUM)]TJ +/F15 10.9091 Tf 435.0192 616.7431 Td[(1)]TJ ET -q -1 0 0 1 572.103 16.316 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S -Q +1 0 0 1 440.4737 616.7431 cm +0 g 0 G +1 0 0 1 -440.4737 -616.7431 cm BT -/F8 9.9626 Tf 575.092 16.116 Td [(GLOBAL')]TJ +/F15 10.9091 Tf 440.4737 616.7431 Td[(.)]TJ -294.6075 -13.5492 Td[(Note)-334(th)1(at)-333(the)-334(stri)1(ngs)-334(ar)1(e)-334(c)-1(ase)-334(in)1(s)-1(ensiti)1(v)28(e)-1(.)]TJ/F48 10.9091 Tf -45.9708 -13.5492 Td[(info)-2114(integer,)-525(intent\050out\051)]TJ/F15 10.9091 Tf 160.515 0 Td[(.)]TJ -114.5442 -13.5492 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;є>_^U -O &4nl;3β2jpTFWDvy@;뎏.Msϴ?`v)'*C-S4Ы&VJ ށGU}q˸4 -uճBKgu/ -!)X*hP[Tf|0'a)/'iURW;hm,ZXr|0 M l: -ptfk݆|O1E\-W(]إP.([R񲰈<H[r~(aOD]B]hlbE |54}9K˳(=>+gJlD'`IDViJ/!8uSK10;#|%ܫ%vJ+]3e?\ "{DzA26}qֱB@}B/d@瓷ŗ{>I=ǯ{e=wZiԥ% - Wk8\]3b0;a;& gl -3!sFӡ5Jd -4Y]j~G%|P$0蕲 Xkr$Dψ`5K]s`ҩ2Fg*k嫃`ʏ;4i07YRoO`frr bO9.bda#Ωd6j;-h:G|yU`J 1^oɓmh5@'O GԳr>&0apuc eB -oƙľ z6͚`/j)P_T"' s fR1ּecqIXQv  7|[Zɚ nut䆷6,!!!xtTa.ڄOjhh}G\'2(ʈEg\Q<"k Mev$qRGz5x1U/ (#OֆU{zJ#ByIKU"C GSu*PpR鸍BO lYޣ1]< W6'.C.,3" m y籀rwل}(opi\ŝ^+tD$ӈ<83}9x #È~" h+ݯ' -Lv$ ,!xdž`ˏJiSc` -V^g#{},*(Ju4wɥN(_#2r{( ٴ3@+a,]ْn 1p50O+#Z|ĶznԢGdWhΧ)Hoˬ73ɉcmvlT)m担9(5>ChcxLstCbU{%C NT~Ջ@bxVV./VRLćԮP;\k1}Õ]CQ0xKLB$oo潸H+d&J:/5_l2݈t4uѾI*stCTjFb7r-0d!W$8gz3UMa{]۞踴#}5Wۏ?)7BcХi!6 d%U'aSi${c x*Q'z)2ܞS?2]'3Qţ٫ݿξ٩),ĤU3[R>I!~{o7٭#3>9HdihϥieP|bc$˙b ҿZcv:N3,hh\2'u1̡}%O7_|6r@@2`24ȑ3w󸻫DYD'ҵx]uli}5X|ОXIB}sBG&vb{/\\;A9b)."vvlt}gON8 2!8a;g"(Ǭw­sGb<[TJpx%Vs07v@ 5K; G☸CS&yy?-Zcb@iI@-@X4ΘIU{n<BW&CsTA>tݺ67в-`R߳b|ю=K",SeL{z,͟'[bG_Q ̒+^kX7 -7K֢&&br/J(~Bl9Z},̔Sv1~S 1/=_7)t&wuP܈2AkcDɩKו)f3:Wi 4W/슓+jfN4t+Еt76Vtw"˜%+1KF(d!e+ -8:/ IoB2H;pea#RZ9QkT5a+~ ȇYk/KO94 Q([A<\ U67E ׆)?x@?@@4EH -Z5MPBav}H$5~nclz9ns_T@g{ɭeə婼ݬJfp}0;zE| \VQAM*u Mu6<䚗*kլMo[ 2?jfPXeԓ+O -Ⱥ(g}\Hm&%3 hɬB#Sn؛GJ]M/SqPg, LDhE`SjRo&h_QF}׺/9> endobj -443 0 obj << -/Length1 1527 -/Length2 8852 -/Length3 0 -/Length 10379 +453 0 obj << +/D [451 0 R /XYZ 141.7385 740.0018 null] +>> endobj +356 0 obj << +/D [451 0 R /XYZ 475.4137 567.0504 null] +>> endobj +450 0 obj << +/Font << /F15 123 0 R /F42 129 0 R /F48 206 0 R /F20 171 0 R /F24 176 0 R /F27 179 0 R >> +/ProcSet [ /PDF /Text ] +>> endobj +456 0 obj << +/Length 4549 >> stream -%!PS-AdobeFont-1.1: CMBX12 1.0 -%%CreationDate: 1991 Aug 20 16:34:54 -% Copyright (C) 1997 American Mathematical Society. All Rights Reserved. -11 dict begin -/FontInfo 7 dict dup begin -/version (1.0) readonly def -/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def -/FullName (CMBX12) readonly def -/FamilyName (Computer Modern) readonly def -/Weight (Bold) readonly def -/ItalicAngle 0 def -/isFixedPitch false def -end readonly def -/FontName /NZSULP+CMBX12 def -/PaintType 0 def -/FontType 1 def -/FontMatrix [0.001 0 0 0.001 0 0] readonly def -/Encoding 256 array -0 1 255 {1 index exch /.notdef put} for -dup 65 /A put -dup 66 /B put -dup 67 /C put -dup 68 /D put -dup 69 /E put -dup 70 /F put -dup 71 /G put -dup 72 /H put -dup 73 /I put -dup 76 /L put -dup 77 /M put -dup 78 /N put -dup 79 /O put -dup 80 /P put -dup 82 /R put -dup 83 /S put -dup 85 /U put -dup 97 /a put -dup 98 /b put -dup 99 /c put -dup 100 /d put -dup 101 /e put -dup 102 /f put -dup 12 /fi put -dup 53 /five put -dup 52 /four put -dup 103 /g put -dup 104 /h put -dup 45 /hyphen put -dup 105 /i put -dup 107 /k put -dup 108 /l put -dup 109 /m put -dup 110 /n put -dup 111 /o put -dup 49 /one put -dup 112 /p put -dup 46 /period put -dup 113 /q put -dup 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[3jAX?$#a~Obae|Pyp.>̱2fZmlԾi:`n2u."39 L:yyEs2]yNԘ+ŝnX>N}<1OX8T7S؛L$ 5׾,O؄HoAN;y - U)܌R<.9{u>LK=QW^'#?yc\RR" PJ=EFPrFe;OW#0`U㚿߿睨jIW©,NKυZ)w<ČOM<1]#G!hRLb.[3} T|Ws 7G=]+tu=(/ڶ}e<0/C棔LB 7M _{r =CƉN'V~IydYYóDP쳵i^:b$0^3v"Ti15|\8]Du>LYYN{3̂* 4̟1xsyfM$9\CiO^sz M'N_Dbv]5L)+)U}ZIwEO䀲sb -yJF9MP5^vX]fe3U SU)D`| ^x+K``M"aJ/][î笒 R+M7I1/Jc"0Ru͟]J B:izX>z] -a'8,7s]>餦l -(f-$&p)jNqZZ~w -A4󣯧ߑUcbe~TY,HWn8Z]U 8 Z4"1B`a z D]ㆅV)}iNk@fN`OlQt!5 1u;D.wЭxdTiiy Z9N)0nya͞ ?Pw0me+,S|n)'4d:i~G,ǡnTH7sۯ/.۰C5TiSɚhM{LgQ0#pS<c 3 -Z~$B6%ՇDSRq[[f=۞ /PXj-PnIq4V{%xX7eu۱6?>͇e^m'\((G=R?:uvO${{sϕrVʆESX샄 -.f*V\hJ}ʓ鐰,ƬHgcKk6Az#`wh!It=?^zͼx] fF:U#qA}ZuTkCsc`]xXԓ-}G_ -plBF5kDI޽ !q VsH -u &ڎhO\9qCo9B.:zv/2O$_@Z` .K'ˢ9(ŽȿL`tyn3ŒgWL)WqfsDNRۜwur+fѕ`o'@#Ԏǿhډ7}{Y]\4H+TH۠NiƙSI۹O{@r_Wzܬu=!`@O,gd>Z,6@jo._>87I0DqvPsPQ]5++O @!S#1 -iL3[+WSWZêUBC:5E@~} ʓ׻ V%CbVuR~eôp|K9WblQ^[o:qv$44~iX E[f-xKj%LLO9:ҳC (!XlxH:۔NtK;2-AQ|^ W8&ۆ5sb ~oO&ҁ?GS9SF]jEAun;_mܑXf%W1$:p,C=!>As. -iBy)ly߿ h3MfX4c_#ut&0ג25E,Qs'[}(Q9oiSO WrcJF#bMQF-+أ&:JluajOl_6˛dV"Si@F \ꛁ+MW&NLߌp.1q_@L W:GDMb"BG8v˼3v #jh7\ YfAdBq6kj/_?GgH=ӫ@O 5|F^VT -m%SV)ymA!\>ǀqmK>b&"aI&jykIʒ⫪ijAks 4bkQBU%6o幆( ꠼{[bhɬ`?‹yu#Q -O: &A77j;3b %3 UI8m "1rî됭BMmJ^ Ȥ -\b,ϥ13> ly΂xWϷ -7Hr"` liJ<XB7xMEݕ -ECyL{?w\OrֵKP׍#zM\ZȷTU}wY^~Xz^3hn6@Ƅ0?,]@.fVe$CP8C :Do3B]`#_NrgPޒ(U%fKi#MSCL2_$gWA)@|h/=O\YASi?p -Y>Q'1 $\M3~a"_\'81͎$7gdik}JDFH'aH<)뚊kB,tB%yjTz}QCV 1]y öSw19y<*iKp{ށD^8ֵ5.6#;& -j{ŹIo•W -ֱ/|WpVi"`Ký EiFMx Gq`PIB CR81C֊OiR iy_V45 )2Wǡ.Y&s81Wł }*}xӣlT7kCӑ݃Lvj۩ Z}lѮd݋6l>J:2t>طzȬ+$ocD`aw@& ilO=~n GLoIZ,PLywfY+k6Z0ْXxR ׽b7j[:F®y gF 2U.ad9SwU8ҙ3/2R:IkE\ -!3(\Y3GYϕ7C k6_X$ q ͨmL%ul9tMt52"*G֬Lk'"QPimc2&f]XJLˣb:ax¬J,hoX>#QVk^MsS˘͹׊g0׭c8oP/0P!/Fv -$(,G#nWv`~| o鑑kWl)H2mF2*s0㏽xK=%:^m ֊*1I*KFk:x[xGT\H =<dɎw[*x : F1#ȼ1!K;nO`E(Q 5#kwi>g *t0@nw:?{ _^4#܀c)eys/B󯫏x?k\ "7b '+/u4JI]0IxPr Z'XFvĵOe񀱱JYp y 7 \cF Ҁ1|+ﬤJ!^o۱)mqMiy>T-]kM:%Cnk&l)/i=h4e27I/YU&u"pIװrf%LKac967 0&~yiWL,br$VjDqp/XeoOlssfbhF<;#t -WB[Wʾ -&xD!4u$Fn>eN+Tz"m["a瑕_џ k6zO&[twʮ7H`_w\!zʓkZ ȧ#:lfu x97t) aasq` C:qﴅVǿ}>Q0l>Ic-8)& *h/6b+F 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All Rights Reserved) readonly def -/FullName (CMMI6) readonly def +/FullName (CMSY7) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def -/ItalicAngle -14.04 def +/ItalicAngle -14.035 def /isFixedPitch false def end readonly def -/FontName /QSZTTH+CMMI6 def +/FontName /EXONPR+CMSY7 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for -dup 84 /T put -dup 101 /e put -dup 108 /l put -dup 110 /n put -dup 118 /v put +dup 0 /minus put readonly def -/FontBBox{11 -250 1241 750}readonly def +/FontBBox{-15 -951 1252 782}readonly def currentdict end currentfile eexec -oc;j~EЪ)s̾;.;rTejiK/df5A|{S/ )Sc\^ȟmp+#vL17~k d# -]LeVߐGoo٥\k 9M֨[G(aܘ|RP6n=: b9s2m4{~CD%x4,Cvj-?xvynhQ`?f\ -[BhnVGXad&ǻD҃gWGa0^)|*?ZHqr@w8~'I_o3Pf4!Y^afRo 0 /băEЪTBfQ\DNy~ -ea!+&n_v:c2rPT NK  -"Ootڥ4]t XFysRMr M[O+á '0XH'1)h[EG6 t^OZLi^h|* o`jO;:`tDs ;^8!`Q0[^-Ěoh8#&&N̳14YjFɰMl]b?9Bii;NzaaT~0}>fz|s6$A JUk~qݰKG ߖ X{s#v}QoGVڢNUWl^ Ifwgx,+=|N4aq$vd]_67eVf<qDJ[[kٖvo uܜwQ jFL527[bMoD^ H= +oc;j~EЪ/ ȭX~id}S5Q!gtⵎkJc;rN^X5.Sy +'IqV:r㚉#,# dBZ *R*"7٨yQIeύrZp(IJ8#+P.ղNC; +[i-{')/Pph QC +AȜ;k5,4Cof^^ "XWeBL'>@{.'b[>PP.DW,={ #VX6nzT`qN&=`~+GH c%=TF{v/҄fwsj j-${fwkxze4G$JB%p"&g4BW[x-n)ǡ~('?CE-QeSO9sY=`lz%i$/neu*TVyBܡ mM/|8ySx{+˄sߨ39Ӟ:QXE':c *ȝ?/vwC'kH0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +cleartomark endstream endobj -456 0 obj << -/Type /FontDescriptor -/FontName /QSZTTH+CMMI6 -/Flags 4 -/FontBBox [11 -250 1241 750] -/Ascent 694 +312 0 obj << +/Type /Font +/Subtype /Type1 +/Encoding 503 0 R +/FirstChar 0 +/LastChar 0 +/Widths 504 0 R +/BaseFont /EXONPR+CMSY7 +/FontDescriptor 310 0 R +>> endobj +310 0 obj << +/Ascent 750 /CapHeight 683 /Descent -194 -/ItalicAngle -14 -/StemV 85 +/FontName /EXONPR+CMSY7 +/ItalicAngle -14.035 +/StemV 93 /XHeight 431 -/CharSet (/T/e/l/n/v) -/FontFile 455 0 R +/FontBBox [-15 -951 1252 782] +/Flags 4 +/CharSet (/minus) +/FontFile 311 0 R >> endobj -457 0 obj << -/Length1 977 -/Length2 4853 -/Length3 0 -/Length 5830 +504 0 obj +[893 ] +endobj +503 0 obj << +/Type /Encoding +/Differences [ 0 /minus 1/.notdef] +>> endobj +308 0 obj << +/Length1 803 +/Length2 1857 +/Length3 532 +/Length 3192 >> stream %!PS-AdobeFont-1.1: CMMI7 1.100 @@ -5320,834 +7896,773 @@ stream /ItalicAngle -14.04 def /isFixedPitch false def end readonly def -/FontName /UPXLGL+CMMI7 def +/FontName /OPGQPT+CMMI7 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for -dup 65 /A put -dup 67 /C put -dup 69 /E put -dup 72 /H put -dup 76 /L put -dup 79 /O put -dup 80 /P put -dup 82 /R put -dup 83 /S put dup 84 /T put -dup 14 /delta put -dup 105 /i put -dup 106 /j put -dup 109 /m put +dup 101 /e put +dup 108 /l put dup 110 /n put -dup 114 /r put -dup 115 /s put +dup 118 /v put readonly def /FontBBox{0 -250 1171 750}readonly def currentdict end currentfile eexec oc;j~EЪ)s̾;.;rTejiK/df5A|{S/ )Sc\^ȟmp+#vL17~k d# -]LeVߐGoo٥\k 9Mv92#:iQ?.n>%jzGm >NjS])7uևUQh4)-×p#z{8YаGP9 )"Pƣ3ГzYYZgp_PC߬CܔDC'<|(Rl/IxXMYzntԟlAv)|*iQP3|TxL" ʃ?Aw·pҋ:r)6,N{?JoA剳Js(0T9$ն''0j%&iBO\k2#Ӱ@S]j?;euO޷i^o""U:r{MЬ V`9\0K-Ixp_fóMhu$g9_bW(IK9*x;JX*32H$=ԀOxR1πN.)?7\œz/ ջ#an >nM_P/I+JXbySѯ?{Ϲ!(M+@qf0bba6Y'.ڶ>}i>_uJsMV:X3ꄙ.%x%/2 H6Zǵ}vz1G9.VRpӱ^@:nemPpJRyUъ|:t.8pع9Ij -,^W{ӊes_Idf (زփ <'YpRQgPr*ZmBY xRj$UK09~B{C;tᷥ褱WYD6TW| H`5>DzXNPGڶȷ13ǂ &Z#]u gRgZoS(dCJ?mD->z,M %WwWGl"6o5(lX52nt۲0UT -gYl ;ꖑC#D%.s( 'ේDyG䀁Ԑ| ]pF7 F)B;sx /A䡖djz%4d_y uK;(mz_Ff -r<+2]P{ybnGZp2ZcGT.eUwܓfEd#-m3@׻YR&5ɗ0ZUq"9.ޭWRYn/DT" }4}F\{|XޗS|-I IDxc"ɍG Q#;eUroIQ -kxoWF'z4ZE57Uz^?9nihLGb3ZYN*K!{T!FFj5cܐ#lc^{S⊎ܲa!C?4ǝ[qZ[xGW{oY 910LLXz?y{-CZ!;=ΤI#Km)ZCi=!NIGGqi) -[V_]LUـ0f4@ JoDnnٿu݀( [i&݅sȉNJDGHSإ// ݈-d4ò/R]mCWVy$6P_ %BQ694Ճ. [ #/6z /_cZ[7FkZLٯ.c]s[գ>تs/Ab‰M@@J@NIJ&YhOǦVM#uc, 't_t &./ -g=<'t]jw$Ƣl̏chcKF YWe>ۣ?1$ /B (gZޏ9y:ߛ:~v&.X<ﲙ$vU=Ya5گIAПeTm6@YlNVߝJ޻T WpEXs -8NBhF $|~ -nYByd=[]<Z)bk 9C݀ #Th" -6$ I -Vva%+e•Ht蛝Xix,:u;t'2sˊu"O1?&a ԌڑN]txo@ 2R]@{AB[4G{\: p_{`8}r7W)1ʼnJR/.D>ʛDTFִ= 2Ba_S -492e떒km@c̤4K^ľfZ͍\YBż8[uٶc@mƵ?^i zV8] Xm"|uo=i+Zi/}tHMG>YGɔi˼RY\>&- a YG+5G<6Fu0H&/aWiX͜V-1f {e5&/Fq&D""Y`/7 w\`D;ӵh 7 o6yG~X×y:wrwYdގ8;]`*@lyqo>65i(CiIy%G.> ]?틞/l9qeq6}A QQ5Rk+=%lIgЉYӽ\iR| % J"##2imfKE:ꈳ[L:M4+%ZŐ|Y$rhP4kAK?I)g.snd,;6ɹ*h6Q=a/"ijܭ_C0ΉǟU˔[ $:嬆ZBۣsComs2YߎӡH+D:5;tY`C~%:4lUU@շ[_c0͙yS@V\JMÑ0Ru1jc -"#yZ?9YKYMf +]LeVߐGoo٥\k 9Mv92#:iQ?.n>%jzGm >NjS])7uևUQh4)-×p#z{8YаGP9 )"Pƣ3ГzYYZgp_PC߬CܔDC'<|(Rl/IxXMYzntԟlAv)|*iQP3|TxL" ʃ?Aw·pҋ:r)6,N{?JoA剳Js(0T9$ն''0j%&4LwQcKHpY Bֶ6$bZXZmX>B#9xҥ6IUJeG#݆>@P1o(ߋUcCо"[D.)>;@Ly͗`50/+R1&e7H?6y@Vx!+ԁ Sk,M8ڱkp/ h(!:ԟH'5II,LIl9#oz)bz&2epDQ/TU^ riFQd'@8NL5`NCAm3IQAJqla_Y&PmjNaz!v4%.\֖b`+#`\ܠḄFr=Z +L2-q; ]Ƽnl,Lt4-`_My檭 +RBٝ1jGO._=] Vi氚l@%f齅YB1q4Mk$_N>B0}\SZh?sȀOwJXmQ68XN3A?(Y}ND$R{տ& \\z޺m块*P k-죰BF *♹8clmotgJ(Olj^~^&Y0TI\1'6ؓBcx3|']PxTi\[`߻,}y*1PA@H1}c >I|N_Dkغ^~+($65)qAahJҾU(qs3FjékX[;8v;;$=NYn \X=(iv/Qg_,\-]C 3ӈG;V-|yn^4@dx]*~.|8D?,㋽5`a0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +cleartomark endstream endobj -458 0 obj << -/Type /FontDescriptor -/FontName /UPXLGL+CMMI7 -/Flags 4 -/FontBBox [0 -250 1171 750] +309 0 obj << +/Type /Font +/Subtype /Type1 +/Encoding 505 0 R +/FirstChar 84 +/LastChar 118 +/Widths 506 0 R +/BaseFont /OPGQPT+CMMI7 +/FontDescriptor 307 0 R +>> endobj +307 0 obj << /Ascent 694 /CapHeight 683 /Descent -194 -/ItalicAngle -14 +/FontName /OPGQPT+CMMI7 +/ItalicAngle -14.04 /StemV 81 /XHeight 431 -/CharSet (/A/C/E/H/L/O/P/R/S/T/delta/i/j/m/n/r/s) -/FontFile 457 0 R +/FontBBox [0 -250 1171 750] +/Flags 4 +/CharSet (/T/e/l/n/v) +/FontFile 308 0 R >> endobj -459 0 obj << -/Length1 915 -/Length2 3356 -/Length3 0 -/Length 4271 +506 0 obj +[675 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 542 0 0 0 0 0 0 361 0 706 0 0 0 0 0 0 0 571 ] +endobj +505 0 obj << +/Type /Encoding +/Differences [ 0 /.notdef 84/T 85/.notdef 101/e 102/.notdef 108/l 109/.notdef 110/n 111/.notdef 118/v 119/.notdef] +>> endobj +305 0 obj << +/Length1 752 +/Length2 1167 +/Length3 532 +/Length 2451 >> stream -%!PS-AdobeFont-1.1: CMMI9 1.100 -%%CreationDate: 1996 Jul 23 07:53:55 +%!PS-AdobeFont-1.1: CMR7 1.0 +%%CreationDate: 1991 Aug 20 16:39:21 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin -/version (1.100) readonly def +/version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def -/FullName (CMMI9) readonly def +/FullName (CMR7) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def -/ItalicAngle -14.04 def +/ItalicAngle 0 def /isFixedPitch false def end readonly def -/FontName /BTFSCW+CMMI9 def +/FontName /WLYIJF+CMR7 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for -dup 65 /A put -dup 77 /M put -dup 82 /R put -dup 59 /comma put -dup 101 /e put -dup 108 /l put -dup 110 /n put -dup 58 /period put -dup 114 /r put -dup 118 /v put -dup 119 /w put -dup 121 /y put +dup 43 /plus put +dup 49 /one put readonly def -/FontBBox{-29 -250 1075 750}readonly def +/FontBBox{-27 -250 1122 750}readonly def currentdict end currentfile eexec -oc;j~EЪ)s̾;.;rTejiK/df5A|{S/ )Sc\^ȟmp+#vL17~k d# -]LeVߐGoo٥\k 9Mՙ= 0)xf -1kX9JS:6_OɭRXZ5Ws E:d"BA.ޕ#z;h*ihUB9gӲ LGb -("K#`O/nms -]ԙn$z7MmGoT٢Ewpｄ BMZ "XIDUQ q~{s R~"eEύ|[9BuODcЭ/3=w߇,ĺT+(!dǗ½Pnf.zuM,.Y]D花YXO>R[*?#SVZ6qoPZM'U,5v Z5Y>u\afa63ڦN?%9+ qfj |bƕp\Kolzz`OɊK׿++B';> ґ$E b&?J'HvwM|!2h*t~ğK֊҈VX"~E1M]~swk-HћyhSߟu YBZ9캲WY ՅY3B#h7Off\*Kp#\[*]]HW K}pqV͙$X/d#VC鐋-m;V13b$ Dtp^wMK۲&bS!稦RIs0Ms4t=8"$]gۑ ڇ$ͧ ܍Icr5w? qbL034 u&AUHU0 כtX ,Xܮ~['p }CZt8G'.IfCJN@ T }볓p@A*{/aK'_!1g~2\oA˂Z 3$~o -~EWwW aJb khy{, P-bʣN#fo[ͥ ˓L2ڮeAZ;5hNdk:x -FGc!H*~Dzsjڬ6}ʝ"Ͼw-}涄sd E7j0J'üI @r -HRg_gA(WMWɑД4@xՉwqFd]Z)W]MKYqj {m/9/ik~SRfۈ^xJ؏"hGJIy4LK7qQT;p*&>[X -9LJ!k*LZf[-O \qV -FX &O*Oa-ɶfRaҮf&]7w -Pj/e0O*cC0yR=V[!Ðicivgh6%V<{W6Oܙv $9dS>Ktx:g]cE/`<ER#O҄ޮ -8#1Bn $'-12_ͿtkrG.vLJ6[p/ -H"DFR&lj璟rgwbr*5(U+rrx`ZB --6-dj wH߽OmkG Y~N3mB3H GڒHhg7A@Qke_Cv?l(X. -X FݵAp i -;=|-޶FC-B~Y3krgjv{bHN="hR-Ŧ2++3{mo8,hKfT3zߴ{@0]7&t{{Blh(4}U5=Ң3(<`JN} 8,H -#CS>}ʧ![^< U -& oXr.*-h R{EXM7";U[W.md [`R>V1F;s]:Qᡍ]}\RjFUk}3њ9|Hz]ah -IQ]8 չ1+J} C̤7faخ8y3R_27XvKşD L~CB+=ꞧN ( < X?bQ~Rp!˱}΁<Ё:GU*rˍkHOA,I?FԜUevņXܠy.5[Cwv;+A}$kNړ>sl *3\GfU{ŧ7>it%agKࠟ/-P>zc\,:C0z ->f$'}PycEhX<=Wћ۠ؼF gE|A몂ڕ?:57_Y)x^/ҐjRW'J߀֟ -)bYr"4JBK*zyZ;s7K ϤGˀPT-wWKh&F?ˮ|"~ML lz|mY 8=^6ݚ3nnfb>cdABUXEmj߶<؍)Ԗ=O`~DUNZfN06\c64e9RzGG{S搈JSZ:sf|ƻՐyen~YUQ +oc;j~EЪ*BgNӽ ؑlKq*޲Xws|QFqv`zXMyp"5O˩YŝP(DT![v67XFlU&3!Rq4wσ~j+ou\ʻl24`}IRB s\pzEGAۋa4_p0uAEG)Q|8B*dGWj'0Vix#(=@'qIT5i +(Ѵt` ?E)4E^yҴF+$8&G"Yl?eYjt+TI2! nXKt`˱~h]{>Qaiσ\mFU#Gvh2un8W;R4Ej1B4b ;b9y[lV:P񕈇9g`\J~ O>%V0 ݬ;cJԺjYrt6yql4Qo٫~o_=6xqw,",kϷo +#vI7_ fz!y(3)5*кYb#aM?3G%wG*L4}. f0Fp)@C,W' ']87Go}y-Iނ% ;dݻy%I+-t7ˬ'$ ;9WJ].IuZ8Cp-$X ӽTֶc+DߍEA1_oKC5@{ !^qRB֭dp=̝?E OS97k,+āI^+͆S# +ias1 +'_m 'd,]X{&41Y9HY_\*2|$g}/M#9]rZRa^3cs!7烬yD6$1/nh0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +cleartomark endstream endobj -460 0 obj << -/Type /FontDescriptor -/FontName /BTFSCW+CMMI9 -/Flags 4 -/FontBBox [-29 -250 1075 750] +306 0 obj << +/Type /Font +/Subtype /Type1 +/Encoding 507 0 R +/FirstChar 43 +/LastChar 49 +/Widths 508 0 R +/BaseFont /WLYIJF+CMR7 +/FontDescriptor 304 0 R +>> endobj +304 0 obj << /Ascent 694 /CapHeight 683 /Descent -194 -/ItalicAngle -14 -/StemV 74 +/FontName /WLYIJF+CMR7 +/ItalicAngle 0 +/StemV 79 /XHeight 431 -/CharSet (/A/M/R/comma/e/l/n/period/r/v/w/y) -/FontFile 459 0 R +/FontBBox [-27 -250 1122 750] +/Flags 4 +/CharSet (/plus/one) +/FontFile 305 0 R >> endobj -461 0 obj << -/Length1 2089 -/Length2 14872 -/Length3 0 -/Length 16961 +508 0 obj +[877 0 0 0 0 0 569 ] +endobj +507 0 obj << +/Type /Encoding +/Differences [ 0 /.notdef 43/plus 44/.notdef 49/one 50/.notdef] +>> endobj +270 0 obj << +/Length1 935 +/Length2 2339 +/Length3 532 +/Length 3806 >> stream -%!PS-AdobeFont-1.1: CMR10 1.00B -%%CreationDate: 1992 Feb 19 19:54:52 +%!PS-AdobeFont-1.1: CMEX10 1.00 +%%CreationDate: 1992 Jul 23 21:22:48 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin -/version (1.00B) readonly def +/version (1.00) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def -/FullName (CMR10) readonly def +/FullName (CMEX10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def -/FontName /SIZVXT+CMR10 def +/FontName /LVTJGW+CMEX10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for -dup 65 /A put -dup 66 /B put -dup 67 /C put -dup 68 /D put -dup 69 /E put -dup 70 /F put -dup 71 /G put -dup 72 /H put -dup 73 /I put -dup 74 /J put -dup 75 /K put -dup 76 /L put -dup 77 /M put -dup 78 /N put -dup 79 /O put -dup 80 /P put -dup 82 /R put -dup 83 /S put -dup 84 /T put -dup 85 /U put -dup 86 /V put -dup 87 /W put -dup 88 /X put -dup 97 /a put -dup 98 /b put -dup 91 /bracketleft put -dup 93 /bracketright put -dup 99 /c put -dup 20 /caron put -dup 58 /colon put -dup 44 /comma put -dup 100 /d put -dup 127 /dieresis put -dup 101 /e put -dup 56 /eight put -dup 124 /emdash put -dup 123 /endash put -dup 61 /equal put -dup 102 /f put -dup 11 /ff put -dup 14 /ffi put -dup 12 /fi put -dup 53 /five put -dup 52 /four put -dup 103 /g put -dup 104 /h put -dup 45 /hyphen put -dup 105 /i put -dup 106 /j put -dup 107 /k put -dup 108 /l put -dup 109 /m put -dup 110 /n put -dup 57 /nine put -dup 111 /o put -dup 49 /one put -dup 112 /p put -dup 40 /parenleft put -dup 41 /parenright put -dup 46 /period put -dup 43 /plus put -dup 113 /q put -dup 63 /question put -dup 92 /quotedblleft put -dup 34 /quotedblright put -dup 39 /quoteright put -dup 114 /r put -dup 115 /s put -dup 59 /semicolon put -dup 55 /seven put -dup 54 /six put -dup 47 /slash put -dup 116 /t put -dup 51 /three put -dup 126 /tilde put -dup 50 /two put -dup 117 /u put -dup 118 /v put -dup 119 /w put -dup 120 /x put -dup 121 /y put -dup 122 /z put -dup 48 /zero put +dup 0 /parenleftbig put +dup 1 /parenrightbig put +dup 26 /braceleftbigg put +dup 80 /summationtext put +dup 88 /summationdisplay put +dup 110 /braceleftBig put +dup 111 /bracerightBig put +dup 112 /radicalbig put readonly def -/FontBBox{-251 -250 1009 969}readonly def +/FontBBox{-24 -2960 1454 772}readonly def currentdict end currentfile eexec -oc;j~EЪ*BgNӽ ؑlKq*޲Xws|QFqv`zXMyp"5O˩YŝP(DT![v67XFlU&3!Rq4wσ~j+ou\c3R*R?쨤ȯ@ gSr RIzE_EMv,X!%6]ަ_3+_hJإ0o'z 9K$|tV\)Z! j#ZŚz1UA~ -"p?{u@]A}s -ijB)~Ob {z;O9mT[Ğ^dUl$Wh: ?Ƃ(r6;Bt6cFCr$/;!,KqLeWuG h7IQ[u20uZ8*#qP|̖I̓pe}#YۇW{ -Hs(}CE c;[e/SmV& -i2ǡmc\0kC'sp)X0@$2jOGG9%fLJD@m2b5\cdy!iz+lxa+2S@uIY5F>qgROEowK*;/sDGǡx=>J ujLDfdžk-j_~hNa0GF{Bad&p+ZlN>#\S ;rCԿk Yce2->fBi߬,uOLu #s6-;s Jt%K|pX;p+,ArwV\jU<6^ YS|?Ɯu`x*,ܺvdz`;t/nQ ,՟=)uv1Q|Afg] 0)``[ߺAv&eӈPmayak3,OD(,de5lN,n@Uy;ye -<OK3`r -h I&@e/JHx1iZiPt&9Be8=^gl%Q/2T^G[ojDeQ#o?B9$3%v;}qsE9&+$0bH @ g$dڕOo50JE߰]z\\s=#VGhKhQyh%=e< DA4F5z휽)xWM8ڵS㆐_Da/EcG]#"@5''Ά]ak3fznfFYBV`E*x\,/b6v%  F9g`CRH+p7M9Y3*eX -נk?& &:N C-!%TiTf<'s/~+;?Pfؚ׭C?v)h`&FE>\@?{1aմ(#`E|ZL XW.^,7vd>@.DiV =t,ah M^L.-m:ee&zB5lm{a !*y4k[lj ԻdUiRa^"(C[w,V%54_T=-{i0-7uŃyMyUUngT! $Br'ؙfK*?eml Sy#YΝ"BJFKt_3CmyE#7yr)Kܿ6;&"K-IϴJ;Fr?͠_O-T?ۉդ4oBszj`n{2C֑ !dW n,}{skaʽQxа ;% )zyA_Uz߲SqgtFGMK.vv9c/)* "8__9v  &f$̏1X/YqmUa7| &ۂIKuVj?u-D>gm}p;NoSug$Ld#2Hk `VRqphe赞KyF1H -i1TSTPRv@ /6V\)VyH= \>Q=9Ɋ -%,"HR\# 0@@?x̫MnKt͔^K|cHlPNJ;Q5@ɓ~󰲔k0A/A,`dy9mx`/g+?(g6-+C"b)TtQ1ż?z*)\2u -U+y|XYy=jQ| L0K9 Ź>P -=p3I#dz#PJR]36WD5xb_nf DU{g\ VewGbdtЂex`aA,o/<5[4[ * rYHLw,|/7Hs>(iKhby|Q uaլZ8` 7h/ÁcLW*JOL.qA 7im{L\-*N7O36aMX9i2IE|ϪI~\ VP5.p:*`57Ӎ$u E,ݕWR']aޣcWwӶ ˝b/HgzВܕ 3FI 2.M$m补je} - όbOW76fcO݊#rt_lR^Io׊FEEl骘& 2ddc}Wɟ;PsVSO%ҭ.Id4dryw?)B^Uu}6a #LF| !LJn)OㅌmSJKV, f?"ϥD<_l[Ǎ? ġIvE҃t¨d"8owv+(1Jj~yot'#{Ľ_f&~ Ɇ噦8[-=0j$Ӿ?y 1|^?A \g񱁓sDW׃L k=xS-Xr3G2$PGnS5} hO -ik-RWW]Y4QªH}~n<24܏jZ{=Uf!gL@?FZcllIW5Ϙo\fC^9wuvz4ﳜN^}0 }LܞjBpi8ی7nfuSܕ꛶:-Mf@_?T=*w.($[sGrcJK7fn3' Oh,Y!@@^ШbuI|n]ӊwfP -" R̋r:dyuìO;nr: - >]#mK_T6h[rbvfK#(90<,38dng퍠b "S"X7m -ulYFJ03ifEtNEvy[SG#>R^n3w7 mC&b}xOۈe8&ܩK&ԵVTqt -^EOKץL -]Xjz@8]٣Ѓ>Z =#ImȂP2v -?^_lgD!Y22ƞ@Ɨ.CE8AOnU )ʼn݉UnZ{oy w>Ys$‡ys$|& ' o\.cniX -4GUݢoۃ#G謯BvA?p''d חӇOHF)><1ʎRT<+pI&; /d!ųnɆ<6 A=oY,GM,] xF%8R|QDC;}I1晥 ^vIbHȲ{c^3& pe#t zp.'-hr -[6d4Z!C'H)5L.}]nh$'xAvѢ hvE->Tu:ӇF4HUh;$3=5DoJq1Szte\ -QJ蓟ਓ -ԛ,Frh7ő#%S Ѩ}JڼvZiIPW32uuxe=5=ܝ!g7 \ky بS}[P-W n{fΙTa"IV)<-7h -Zm_:.2HSw^GG7v0^$ۙ5tؐI2<i %"aAe&HlܫkWvk"GYZ -wtΜREkj \eAzNMco~3/$ɗf~@<1&q3'@%/1 w.6S69 ${=oGq{iP3q*Kpʾeoá({'"ɼ21v2Na7jH ,KҊpߴ[]12[mt]_|gQŰPh@PhqDh +'۱q,~hdɗ rXfek\E.aS#GЃi+@sUcjppxj@mĺWb(' 7&[{Ӥan@es?i?O:hGVE?'V)@Ob\î[ J*35lvI ?T9:U7nJHІ7ӹC$48 tv)6c5:p$ [ݯ&9zBK(4.w1}<:d#0Wzp_өKֈ*< 3^$,$Yy+7;hCOĤ5B0`/)bTL+f_l 6_$DŽ〸b?aܵ8d #y\a%ΑP6w nCw"|5T͋shH57=gbr\ 9|ojv:u^ -i!79YF| } zF}ioBKk&x\zl{ <Nx}gǭxaWtƦ],IVşFFBX5?2̵LiV߭ZaYϊﲒ?jO+10MԄZt\YgBa*{dz ytM -hTY^X6M ;L\f-e'>Ni0oX@{BE\~Rh4Ϻ/ -"'fQ).y%Ay֓%K:{g32&=,fz"ϩ<ϣKda@cLUە_;‚cZ S9^D˨=` -.vΎԺߟ:y!Y cҮW22 j.REMM_+5,1~ /Tq M7U-5{I}_'G/\3Oz G@i35z`eCG6tSsND Y'{}e-sU+Fe)Y!5eNzjM^0;](²ﺣΠbt!L@SDM߱mlu_(lH3Rf'y6r0'z/&oPW}tNT6U[q[{Nv_>YOm 7(u'÷m/Lz,(; !b8/}:0( G(AO -5(PTĜS>ɼ7 sߠ W*긮b ơ%+ewOIL -e;ȏ^N*n5` g5βPɞr:3c!)[f5JpF ;jp~n]bTHּJ?>AD<~_f0CAKP&3܁b #J __t "}p!+gX$@/I;_=p MMZw~[}RNJ(X٘o_'P=zNq= `%s#K%9!4o{/{oi8Be`*|G [FS$.(q1 A}0do@/C}WoN5(*'3%#ux\x7= o Oz(a? \k8"YD]LB7i4_;Z{u"5yY#,bی`* i^2@9hBMZtH c_-""5oTB}hy$i}2"gB@+(Σڽ apD|6L@@Z  4'|-ȮȏC;;2 0ujGDC+ -ϩ|cQ MMIU1~E%?~:m˚rq+_*he~)\uVݢ]N_™@RlQGA*j<ˍ g,kA6мKMӬ>ݶ_aϛW=X1A#J$S-*H6'jǑ|qe -*yvm -ֿY9Hd9Z[SY:|/&lv*Ԗ -)m"/?N&wb-eX I6efv<2婋d5_`#5c -]ޚWo1B'L$>KE_Wh\ʇ) M58{K̆$P2Ԡbf/5jYɣ[63umI4  -QIWB'޺!RUcg2_欬]3c-\]Yz=0o4T]"_E#:oS -PYF|}W%Ƚr}xJi6UH%|WOJMy֯<F 4A hNͶfSK BZ;أKM1fWLIiM~{W@,un[#`csBɮo-CcHXmO?ХcrΟV^ + [q DU֞G0G~)`#"i<} T%)TU,>;vi&2n4w&f4,U=5o0x*?LS 6 kfN5+ϝ/6ϰ~YFY:խ;j9}lY,4Xۥ>tc2 <@7j:x|?"5OF!Qf}^kR[CThpRs.Acgם2+ 2K11ghG Lu --hQ8ht9 P؅u p|*[8?vI D? 9q`Q,D+Z`e/Y rvf:7GHF1`;6UG,0Tq{ԤO!Y-ULYz4b 9 '-wh@/L# :E(o\EɢnR^2LP37$4-l[^9So``!t7%]f,Aw=g< " 4|G(+V`G6>T觇'KKwtxH -?D/mU~`\U"{Klڐ8O52; {ףGmؼDxLn@_.QȦjB$2Lk|mv{<̟z}X9-:d.ϊeZdAq?/tCT>0h,SxQM}ꞁo-i"SֱwYϣ׿*sXz]؜PŘCǂ{mpvSxMpHE,fl;ESlYl^ȑnX-A*W.S3e7 -lZ`lQ%9 -d*_Z( -G֯ov0Ì[l?@J44CJ5-D<3 ]h@~@-l=NTPOMX؂ qWȺ&K#Z̆-Hs -8<ANJ.#- P `5.2m>p N ^ؓK?/- UѸ{qtduɇi]ejD%nn%w٧)S}5Dz<"B " q Z̓6B8mU<,*"9q$ F*5coldЮ(线XE/.b8(\Ub'{„\gwD蓢bv'!U~i+g{C 8 .}uذY7Fr;X}J?RjXo -l*Exþ _>6ѫ.]dk> Һ1Yv.l^yWe:ETi)|xvx5mOE;᙮x7TQ5IL#ՆS &m#sw70V9I!#^blaqMrWg76 YĎhԸio ig4)*;Ң8Gmq^D@>H /6(e>jϘ)cr P.E@DϋϣN~ADܱ#K3pTbK$)$T J:0gڬ4D_Db[#'>:.ޥ'j ?'>nsr@*VI*:ʙ}Cvkb] GT9HȶHᩕ5)t#j"<⧏KZY]Ttr3td{(֚e@%fP_Nf8à(zJ:2I=qZbC%y4/<'V&8Ve}$f:$9ч }c?a8-˫iYd|WCx_%a$kaoPl,w\}?Bd+vv4Zlaua\EEch{ ]X雥JG-Q'% -eWPSV `F_kQއE}q>*Wٸ_fKvRCMXVe&k.G"^}muK^m3nFΫ4Д>(٢yWV-8jJIg}}UXQx?gJZei^1fR1*!T!VyT&Qz [aRku OI"ԚZ>@iӢB -͡!`<@!uРNʞxɸ0>kڎ|67U.Y?4P3*ŵ[u -="7.% %1&fV@arƎ+sЉWc0qPE`PVȑcz=r^}`K`T߁/scix쳿H7: Ock{03{iEmW~?B(403"Ԇ9NLJG9LNIWnNRY[dm+IfN|=cG5yJi,dRht x<#^!V&1qE1[nض{3#a#!LLk-(PAh1IvYK1[VYѲY*aFnH DhPPtHH'Í=(ճAf(8JH:cX~ ۘzkcF8!hG"Vpל wp _>#5J *fvb +I3YeAIȪ]%RdxL +> +׺ZzGiLW&iK_ NߟJh $շ>NE|sEf%L5X& ѫYtqN$&(4Fd:g/]>~4Ҿ#s ,<&fM/c_HuK{HݫRVԗ-R?J-" smk<3C"8&v$qiB³^ ;]58f(!(vo3v )W]gnlپ:jtl+rAҨЩN?KFXdquh ])yHc"QS}D99AW*Jż%OOɊ_v}ʍKby '/\S!>G9)4:ЖWwuЮz ~sr ~)FV7rn_hf<ʞ #xE,ua)~f#G`ޚۥui s%Έ) P4Z؉8 +A _gPsB1uU8IuT +Ņ_= +-z7I" =sy$%&sū =a3-:%qqi_ָ۸ +> wLDK{g& +4N%p.h7MHSF`Yv9>m.(dFn o 53MT +g +CAkmS:d_Q=]MxY5pQwu)rW)-n[$qtR;¯~M܇V ZƗkSuM(+<0Z7_U>_ulq$U(³h(2:S2;Go~9՚}uV-^%P vUXKb|%4& a_0Tw}GLPR3=Vgy K'CECݽHV xEv}=soÇ\{ھ"c>QF@( Y:e&l`Z+Ilr^˖NG ЗDas51ӣɠ?D}|^ME>BRȒq `4I"ho=y`]W1`э{tr tv +zF9)[?h|)bg3.&Bj: X3;Gk(B,v0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +cleartomark endstream endobj -462 0 obj << -/Type /FontDescriptor -/FontName /SIZVXT+CMR10 -/Flags 4 -/FontBBox [-251 -250 1009 969] -/Ascent 694 -/CapHeight 683 -/Descent -194 +271 0 obj << +/Type /Font +/Subtype /Type1 +/Encoding 509 0 R +/FirstChar 0 +/LastChar 112 +/Widths 510 0 R +/BaseFont /LVTJGW+CMEX10 +/FontDescriptor 269 0 R +>> endobj +269 0 obj << +/Ascent 40 +/CapHeight 0 +/Descent -600 +/FontName /LVTJGW+CMEX10 /ItalicAngle 0 -/StemV 69 +/StemV 47 /XHeight 431 -/CharSet (/A/B/C/D/E/F/G/H/I/J/K/L/M/N/O/P/R/S/T/U/V/W/X/a/b/bracketleft/bracketright/c/caron/colon/comma/d/dieresis/e/eight/emdash/endash/equal/f/ff/ffi/fi/five/four/g/h/hyphen/i/j/k/l/m/n/nine/o/one/p/parenleft/parenright/period/plus/q/question/quotedblleft/quotedblright/quoteright/r/s/semicolon/seven/six/slash/t/three/tilde/two/u/v/w/x/y/z/zero) -/FontFile 461 0 R +/FontBBox [-24 -2960 1454 772] +/Flags 4 +/CharSet (/parenleftbig/parenrightbig/braceleftbigg/summationtext/summationdisplay/braceleftBig/bracerightBig/radicalbig) +/FontFile 270 0 R >> endobj -463 0 obj << -/Length1 1354 -/Length2 7072 -/Length3 0 -/Length 8426 +510 0 obj +[458 458 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 750 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1056 0 0 0 0 0 0 0 1444 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 667 667 1000 ] +endobj +509 0 obj << +/Type /Encoding +/Differences [ 0 /parenleftbig/parenrightbig 2/.notdef 26/braceleftbigg 27/.notdef 80/summationtext 81/.notdef 88/summationdisplay 89/.notdef 110/braceleftBig/bracerightBig/radicalbig 113/.notdef] +>> endobj +267 0 obj << +/Length1 777 +/Length2 1473 +/Length3 532 +/Length 2782 >> stream -%!PS-AdobeFont-1.1: CMR12 1.0 -%%CreationDate: 1991 Aug 20 16:38:05 +%!PS-AdobeFont-1.1: CMMI6 1.100 +%%CreationDate: 1996 Jul 23 07:53:52 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin -/version (1.0) readonly def +/version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def -/FullName (CMR12) readonly def +/FullName (CMMI6) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def -/ItalicAngle 0 def +/ItalicAngle -14.04 def /isFixedPitch false def end readonly def -/FontName /MYGHPW+CMR12 def +/FontName /WRSUKB+CMMI6 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def -/Encoding 256 array -0 1 255 {1 index exch /.notdef put} for -dup 65 /A put -dup 67 /C put -dup 73 /I put -dup 74 /J put -dup 78 /N put -dup 82 /R put -dup 83 /S put -dup 84 /T put -dup 85 /U put -dup 86 /V put -dup 97 /a put -dup 99 /c put -dup 58 /colon put -dup 44 /comma put -dup 100 /d put -dup 101 /e put -dup 56 /eight put -dup 102 /f put -dup 103 /g put -dup 45 /hyphen put -dup 105 /i put -dup 108 /l put -dup 109 /m put -dup 110 /n put -dup 111 /o put -dup 49 /one put -dup 112 /p put -dup 46 /period put -dup 92 /quotedblleft put -dup 34 /quotedblright put -dup 114 /r put -dup 115 /s put -dup 55 /seven put -dup 116 /t put -dup 50 /two put -dup 117 /u put -dup 118 /v put -dup 119 /w put -dup 121 /y put -dup 48 /zero put +/Encoding 256 array +0 1 255 {1 index exch /.notdef put} for +dup 14 /delta put +dup 67 /C put +dup 105 /i put readonly def -/FontBBox{-34 -251 988 750}readonly def +/FontBBox{11 -250 1241 750}readonly def currentdict end currentfile eexec -oc;j~EЪ*BgNӽ ؑlKq*޲Xws|QFqv`zXMyp"5O˩YŝP(DT![v67XFlU&3!Rq4wσ~j+ou\@[6]nhmlhaH+4/?3&n=a6E#|~.ԅˠLw2.槝sNY ڻ.,VnNX3|裠k(QIOs m;fߖC1}_a Io#0wݙ\P,f *bG3Z2کP8L3r[vnc_Eh~g9|M) }YaѕH|1m![AzXpPNCU7Uֲ7ΖTgx_hyW^]W}s_Zfs@dYr ȟsy&vJx)ݱ~Kq -45hL#q:4pP?g |GJSn^i26M Ęz0. v31껰xCj 7}0a `~iEfÎ}O>&*gϿ60CL͘sc·^X0IF +3yP.wP=vH?tx??jKvcJ ފO(WfnYc+ՈuMWkSMpy2La }gH,HA ngVU4NN7z3=ʿM1(2iznl7 J[7һDH]WUMi)hiwuPJv+]/XNkn|´?4ҫf kE{'ǺW1 os!w#v. -RGgkx0S"MB$0kSlk6C)R`+&gljᑢ_5s$ U$;|Q|nÜ2 @%ړqP c Th,W1H >i6vwWBb vj8V6b99y]im劂#TM"EWG[i6#;Vi9ň(wA2$BUtv!/r+1 @ >@Cji[K .k6_vʞsKsAW2`Th1☛î//*a抲 %&pяh,XA -o#%IF{(qn{%{VD%fHE|tzTT4t0'鈩pQ.nG$K &әq %^XD_4^EW14#cN6i~ EuUbhӥKx:!Q3㸦F=GZ*ǐ2{MsEIʹ -6A51T8q:vh&vo1s]]ZBy5D5?ǬfVkS uń%; zߡր ,S_L7٤o#ڜY[ # ֳ~1g%1Uq8"q:ah>i Ht:|0Q,YJJaQ]?IfyK/3%y6 ]pY)#fN#pړp~ݍg=@B&4 Rcw))DvWe@ywz^7>UESIVp,rӛ0օ<$*9LgM/kxqjOx@!ϮY!S+r(7UVק%: Vr4KZK$"9< 5IHi9 (uJ!E{flǛM ըZz@`9!R ޙ9 X:XZbMʾ@ ώ%U\3$B2L`>nHp~7d&&EVSnXPQ~('u!u"A$ ,KLT.|F4ln}.ҦOxmZ` nѩwPud'c0n"ѣ ;(gUà{aVXmA娜dEگJ5Rgw}|CikH7!dfIkƣFE4V]x}pw$sDOoj?<黲!:t%rr2Me)%NLL?{c}埬>9=7%|il[KB -.ho9u VQxgg9R~XPe7@<~}" BŒeC.|R# 6~8qM]ڈu}ȼm|]֯hJpcP/f#ŇVP.ˊyDJ11O!fUu _ud8r&1L:l?wQ\`NZ$[E1J*~1ۺ6W 5anf1{@0xVfˊzbO W xjBA^ŇbY<u]87 h -!gLcwXj B"TOSTq6ᗠd$Y IPqu*,Q^Җ<%&vGE\kk+ D?<,IM f~wb:1lxa3:WQi}J}Rt 92?'*ö_? aB OL󗏓?C0)= JrqZEK{-PeII;4.JRFfx΄%VY۹: 9wS$iAYq -]^? %G%^; Mq~{|nrm@wË́)»ҳxZpi!>z -P˺5/tc>'" 2BI[$XIMfh -VbV'l[ KjHIgp 7*n/E[l`wH"Az `lգwc\tW~%Y+=-'nAeR/1&,ԗ&Lxq!\IV SlNﵣmkGpʓoS8jZ q[DfGXow~W[S%ΐk|ҧ<~^AwT b$K cO0";0Jwk%ʮшc0Wtk#yXRɖKc=LL-Oparv[{kK0:љ97;ҫ -B0etk1TgZԊ«J2n>g(XAA~ >+"}~V%iwJroWz44GRL0jd#`=.LFۭiګ2+G c)QՒ ɞ4/-{F,I,VK I6S6WULug!bk fflo :,x3~" 5ޕr2hB@f);!˺.*>Sn -|pv|j!n<50*J/Po9Dyf3954瑽|§Ij]bGl6-fSF[RCh)BUVc>ym:=ɻ2.GO >:K1l5:Oo<*xRӸ+Ѳx4 F7k~?,m- Dk$Y5kmU!L(HmFov` 4ߐ 'ҁGwcHVa2.bWV42[ɷE5$)jv$xw}i>=(8i3]=+Kۮ#@ϒCO4 -J h;'h#Rj\T"yۙOL`mo$LxV98b^8WPN:CDUjmޒ=uj׻MghZ))Gֈy[ ly>dݴƿ,=Cvg:a][V)B ew10Ii c\W A8TP7Օ_TZ~?5|*L%y82FPγtOF՝֊r ``Sw,u]εD9 1-`4%iJ/ 'jy +oc;j~EЪ)s̾;.;rTejiK/df5A|{S/ )Sc\^ȟmp+#vL17~k d# +]LeVߐGoo٥\k 9M֨[G(aܘ|RP6n=: b9s2m4{~CD%x4,Cvj-?xvynhQ`?f\ +[BhnVGXad&ǻD҃gWGa0^)|*?ZHqr@w8~'I_o3Pf4!Y^afRo 0 /băEЪTBfQ\DNy~ +eaRa}8UZ ySrq't5\~; (ϐ?^AKޔf:*mVo2)A]foLӘt\7g3&5#e5qe]unwE9,}#WD=^'ߛ]Jq],Tm |>=VDZ*Z4D%6V6>" ӡ[%Rq2t5h]QS2TyIA@ҩc' |31Od~ +ZT_h]Ꮣŵ +^׵GS761z'CUH gG(?W f%[*&T&":|6A $< UDԐ5 >0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +cleartomark endstream endobj -464 0 obj << -/Type /FontDescriptor -/FontName /MYGHPW+CMR12 -/Flags 4 -/FontBBox [-34 -251 988 750] +268 0 obj << +/Type /Font +/Subtype /Type1 +/Encoding 511 0 R +/FirstChar 14 +/LastChar 105 +/Widths 512 0 R +/BaseFont /WRSUKB+CMMI6 +/FontDescriptor 266 0 R +>> endobj +266 0 obj << /Ascent 694 /CapHeight 683 /Descent -194 -/ItalicAngle 0 -/StemV 65 +/FontName /WRSUKB+CMMI6 +/ItalicAngle -14.04 +/StemV 85 /XHeight 431 -/CharSet (/A/C/I/J/N/R/S/T/U/V/a/c/colon/comma/d/e/eight/f/g/hyphen/i/l/m/n/o/one/p/period/quotedblleft/quotedblright/r/s/seven/t/two/u/v/w/y/zero) -/FontFile 463 0 R +/FontBBox [11 -250 1241 750] +/Flags 4 +/CharSet (/delta/C/i) +/FontFile 267 0 R >> endobj -465 0 obj << -/Length1 752 -/Length2 1166 -/Length3 0 -/Length 1918 +512 0 obj +[566 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 884 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 446 ] +endobj +511 0 obj << +/Type /Encoding +/Differences [ 0 /.notdef 14/delta 15/.notdef 67/C 68/.notdef 105/i 106/.notdef] +>> endobj +264 0 obj << +/Length1 786 +/Length2 1479 +/Length3 532 +/Length 2797 >> stream -%!PS-AdobeFont-1.1: CMR6 1.0 -%%CreationDate: 1991 Aug 20 16:39:02 +%!PS-AdobeFont-1.1: CMR8 1.0 +%%CreationDate: 1991 Aug 20 16:39:40 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def -/FullName (CMR6) readonly def +/FullName (CMR8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def -/FontName /OWGGST+CMR6 def +/FontName /TJZGDX+CMR8 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for +dup 48 /zero put dup 49 /one put -dup 43 /plus put +dup 50 /two put +dup 61 /equal put readonly def -/FontBBox{-20 -250 1193 750}readonly def +/FontBBox{-36 -250 1070 750}readonly def currentdict end currentfile eexec -oc;j~EЪ*BgNӽ ؑlKq*޲Xws|QFqv`zXMyp"5O˩YŝP(DT![v67XFlU&3!Rq4wσ~j+ou\@[6]nhmlhaH+4/?3&n=a6E#|~.ԅˡ}_B$~\|"4Pxҍ>P% ~ߏ4q.C3s蛼q翈by?Z72z6LpHC1D"28s B -~ OPQ -O\O}';Pǂ;߉~ I;^קg U51&:M~(NhW?g+fV_frsHwc'NDT<eC6M)[ݛ@4}x ޼8Eզ԰Xꝵolw5 7Iců,*^  f̘?C\>`0ԭcK(#:7hL^I6>^v0A(JQN`n X83-r:lI~88̻Fm)Ohy*NbE _b8s`]Qi7s93QR#YJdgS8nw4qkG)Ӷє[ ɛa;.y.ٯjzd +oc;j~EЪ*BgNӽ ؑlKq*޲Xws|QFqv`zXMyp"5O˩YŝP(DT![v67XFlU&3!Rq4wσ~j+ou\@[6]nhmlhaH+4/?3&n=a6E#|~.ԅˡw,"rg[eHi>u +Wת>~ӖѿJmdvA +[4|ܾ.Vz_1. Ff |X9^Rw] +ۊ31S\DKZW` P^3 eێ 8`2?l;Ȋ!eXxh +Df@=$*IBXԏ!Wx-b1 C; p}hQi=HXbgbmǣR,>_Q! +Z؞Ar]< Qjt8?B,mN3v լǵ+K6 t{AJcQ%r?v60RmXsŤ+pǸi:Us)kPW\~; 7T.N }.&:D~zp0C_HOzCByAOve1k`G|f28'j0&®uk6sw, I5&{oP}p2d +CA!8Z⓪٦ǎaBLeblsLK1Bf/H[UD&V{FB16hX"lLMT.?pSZϞ@+/kb/t9{Q 2l6TH[.*!9 wm4k%glqQOc[l~b'D_^b`& O[cNDObkfrɉHˡlY]z&Q=P~lMrO9yh7OonXli'w h.us-4{ +9cO `+m.f)KZҜ/ȫMf?PG,|Ϲq-Zy#nbly@Jnz2GE]=̤+&@<~h'u &B3+*/h:,uv޽GCb-ĈizzeԠ=˻iK_xjx%ZUL1(Se]/^ǝ ama[ ‘a`TQ)|FNj+mC[P+> endobj +263 0 obj << /Ascent 694 /CapHeight 683 /Descent -194 +/FontName /TJZGDX+CMR8 /ItalicAngle 0 -/StemV 83 +/StemV 76 /XHeight 431 -/CharSet (/one/plus) -/FontFile 465 0 R +/FontBBox [-36 -250 1070 750] +/Flags 4 +/CharSet (/zero/one/two/equal) +/FontFile 264 0 R >> endobj -467 0 obj << -/Length1 786 -/Length2 1455 -/Length3 0 -/Length 2241 +514 0 obj +[531 531 531 0 0 0 0 0 0 0 0 0 0 826 ] +endobj +513 0 obj << +/Type /Encoding +/Differences [ 0 /.notdef 48/zero/one/two 51/.notdef 61/equal 62/.notdef] +>> endobj +261 0 obj << +/Length1 765 +/Length2 745 +/Length3 532 +/Length 2042 >> stream -%!PS-AdobeFont-1.1: CMR7 1.0 -%%CreationDate: 1991 Aug 20 16:39:21 +%!PS-AdobeFont-1.1: CMSY8 1.0 +%%CreationDate: 1991 Aug 15 07:22:10 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def -/FullName (CMR7) readonly def +/FullName (CMSY8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def -/ItalicAngle 0 def +/ItalicAngle -14.035 def /isFixedPitch false def end readonly def -/FontName /MKWBGP+CMR7 def +/FontName /JGTGUW+CMSY8 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for -dup 61 /equal put -dup 49 /one put -dup 50 /two put -dup 48 /zero put +dup 0 /minus put +dup 2 /multiply put readonly def -/FontBBox{-27 -250 1122 750}readonly def +/FontBBox{-30 -955 1185 779}readonly def currentdict end currentfile eexec -oc;j~EЪ*BgNӽ ؑlKq*޲Xws|QFqv`zXMyp"5O˩YŝP(DT![v67XFlU&3!Rq4wσ~j+ou\ʻl24`}IRB s\pzEGAۋa4_p0uAEG)Q|8B*dGWj'0Vix#(=@'qIT5i -(Ѵt` ?E)4E^yҴF+$8&G"Yl?eYjt+TI2! nXKt`˱~h]{>Qaiσ\mFU#Gvh2un8W;R4Ej1B4b ;b9y[lV:P񕈇9g`\J~ O>%V0 ݬ;cJԺjYrt6yql4Qo٫~o_=6xqw,",kϷo -#vI7_ fz!y(3)5*кYb#aM?3G%wG*Jx,N -R kc{͌%~"; - vBZWjk^`m]5^Π0~ˆDƒc;܃]lR <̉a Z[nk{H?J"L1<p+z{pQk9!mo\]Fj tM0/"Luesbԁ]ߒ^PB)T7C,0 :&GQOPPn Þ&.ė7!--z;#.Rwrg6Z5YNՑPx!SGGטL{MVBHS3IuY}E7J)rMKy6>eXզ +oc;j~EЪ/ ȭX~id}S5Q!gtⵎkJc;rN^X5.Sy +'IqV:r㚉#,# dBZ *R*"7٨y! [R߻*|]~[C֨a[#ԙ jY!4J"3&ejc\J$2626wIaUIrnFB/Г(Hp%#O.,snݸt%\b9?_\ <+n6rBPYԥ Tlp4űI=+rp% !<'y1# 0wyr(X|X> endobj +260 0 obj << +/Ascent 750 /CapHeight 683 /Descent -194 -/ItalicAngle 0 -/StemV 79 +/FontName /JGTGUW+CMSY8 +/ItalicAngle -14.035 +/StemV 89 /XHeight 431 -/CharSet (/equal/one/two/zero) -/FontFile 467 0 R +/FontBBox [-30 -955 1185 779] +/Flags 4 +/CharSet (/minus/multiply) +/FontFile 261 0 R >> endobj -469 0 obj << -/Length1 1629 -/Length2 9743 -/Length3 0 -/Length 11372 +516 0 obj +[826 0 826 ] +endobj +515 0 obj << +/Type /Encoding +/Differences [ 0 /minus 1/.notdef 2/multiply 3/.notdef] +>> endobj +258 0 obj << +/Length1 994 +/Length2 4891 +/Length3 532 +/Length 6417 >> stream -%!PS-AdobeFont-1.1: CMR9 1.0 -%%CreationDate: 1991 Aug 20 16:39:59 +%!PS-AdobeFont-1.1: CMMI8 1.100 +%%CreationDate: 1996 Jul 23 07:53:54 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin -/version (1.0) readonly def +/version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def -/FullName (CMR9) readonly def +/FullName (CMMI8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def -/ItalicAngle 0 def +/ItalicAngle -14.04 def /isFixedPitch false def end readonly def -/FontName /DGDLGQ+CMR9 def +/FontName /TTYZPK+CMMI8 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for +dup 14 /delta put dup 65 /A put -dup 66 /B put dup 67 /C put -dup 68 /D put -dup 70 /F put -dup 73 /I put -dup 75 /K put +dup 69 /E put +dup 72 /H put dup 76 /L put -dup 77 /M put +dup 79 /O put dup 80 /P put +dup 82 /R put dup 83 /S put dup 84 /T put -dup 85 /U put -dup 97 /a put -dup 98 /b put -dup 99 /c put -dup 44 /comma put -dup 100 /d put -dup 101 /e put -dup 61 /equal put -dup 33 /exclam put -dup 102 /f put -dup 11 /ff put -dup 12 /fi put -dup 53 /five put -dup 52 /four put -dup 103 /g put -dup 104 /h put -dup 45 /hyphen put dup 105 /i put dup 106 /j put -dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put -dup 57 /nine put -dup 111 /o put -dup 49 /one put -dup 112 /p put -dup 40 /parenleft put -dup 41 /parenright put -dup 46 /period put -dup 43 /plus put -dup 113 /q put -dup 92 /quotedblleft put -dup 34 /quotedblright put dup 114 /r put dup 115 /s put -dup 59 /semicolon put -dup 116 /t put -dup 50 /two put -dup 117 /u put -dup 118 /v put -dup 119 /w put -dup 120 /x put -dup 121 /y put -dup 122 /z put readonly def -/FontBBox{-39 -250 1036 750}readonly def +/FontBBox{-24 -250 1110 750}readonly def currentdict end currentfile eexec -oc;j~EЪ*BgNӽ ؑlKq*޲Xws|QFqv`zXMyp"5O˩YŝP(DT![v67XFlU&3!Rq4wσ~j+ou\c3R*R?쨤ȯ@ gSr RIzE_EMv,X!%6]ަ_3+_hJإ0oyX`U) %N5<6[mR"-%Qg !2og,Ydhhu_1A͐ - .Um;3YZ`7z *%͟AJ2UhcCp2,숛§#@J -s8, ed?Ms."A# -p9Ɂv*\X K QF7q {N{G0o?8I*!D]!ض8iȂa>VGkV4;Wy;3Oo8KߝpY,!7T˒jHC9[I?;J_1,>W7'pRlfa{ x[:3;95*Nk7fr ȍ.cNy¹vlap?ll{o/ǭFI.RI] 34J@9q؄Zr۠YsC{l^#S'-n1~,Wn{SrgZ} $R3u F'wk>cKQ Lc9dGO_3F-/uI.9:I8q1~z ON!y9k TIS6kpKGM+ ЯXK0r6$tCQ{ -%%0%{(a'LQ2crMҐ9=P?T,ѼSZd5Š9 t;F(Q{YtDJ5%.w׆D$;(`| -HR;4E~cgvMgո״?X.Zen -^xnbps:L?A%zsc<ԅvf67fJl&}?U;&r$/aX=Ϟofw%8XD5RŅWȾ)ײt*2f)\=۠J6DZ2r}[j?B=v7F8}d71YIMN1 .ઃ^;fdy [Ρh.(t[UBUl9m\.WZӿ)ZUp|f~4*G44.KPd,eRFL Df@靪x-7EϭΖ{/rN3 LpR='%[v] f(:(+HЙERs2Չя*K?CdԝAjqdM ` Mk`&b|\tȘM ٭_Ā=ks@oZ"XBS0L|۱I(UCRM_=?pQZ"( U4V~?:Z`o D{}Q_™jܶ.g'NԇX9̪7pϢzD/?EyyzEFw$Q=(eatf\H[r1Cu+dĥ/ZK!J()yS7-10r1\gj·*|G,y!VMuffa'Pˆb'ΛqcHU5Yl1t?ZѫcѨrn½WhPgBIsD\D)T&T6Pv֠_YE/"~õ=%7wFqB)h2AhӴ?v2ncJ%].왼ӗ=wsYhҒP"蔛Y!ha[ M $ƍ .OcIpr5{24>mcR kѺtw -X-a9j91Sr8NTa+iI@$a ZWmt1wkmoJ[k]2GVJT<_8M8V oNuGMlEVSy'ap@.o`/yd |XY*?|>\cR(U$X|U)!TtG郹-"8kR=\P}͉؈;e~N%183ʡeB?R;@ `Re([o]yպ B^  '~m !mˁƥZm*cI`K l#8]yM.2 PeUY~{n M@ݘ~(lu-RҢ~lM7VLxmn V-qyhf!4hoid=y>?[fbc)_ZYhM(Н%KKq ߒn%@vCf6ܺdҭM -^ŘkOr֭lK:,\ -[B?lT`RDe%ȱAxNSNL -2\N+ƓtL Nwdū{j#JZ-aKTwWL>e.% -Hɔ%'AMiKo MRk+sg^SZ i-]%bX0LWP@N$DЩ乌rDU6@%%S؜L=x @XQN&ya]yUsD_YQص9 -;^.sAGFLGԒ7 -洯NꐌOT!?-RmَQ2u@֚u,_#eȴ0 )911.Ϡ(j?) -[ j1<*LóZhMz{QMdØ-cXO_ߕo7qfdO)N4 |p|)VoU˕{%JMSF,eQ!)?{*`p2u5tǣw 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Z,G/ϸqOȦoywTgT`گ.؋0bB$."* I^݇ ¡Ӵ@ީ,, pl}bpv=!X=PPHwUfvf^`̴uL3U2<(pf Kg|#0x_qLw¶NL fq%Ԋ&8N#8HiXZTY@ Wp:FSw˄u 3Rvb~EfAnM3`m Lᨷ#tRQm~L&L4aE*?9EMhdp{Fz[.>/{ڷc(sӿT1z)j:ﺈ7[l&%3 c5`SͳW.BEza4x?-/!4Gv`\ iMS %ھgg₎a8A>buJYвPg*9SY0F=sΠvs{pmWmX<~R'&;dl4(UeX\04vnTW(m0 W|wЪeBSEfHoO]TC~$lzLmړ* s'{ }>扎{ѯ4,^8e|mU:5^^b쾨?w` y>cu 1v[t1uJb~,~i:gYr3~3YRާH_Ta_.$\cy/?[^nIh9o G;3dpEcA81:.Z{ft78^.>2k"P~WUTeA5*Wȋ :{|"@t2h낊)c(z&{Q"OH9U}gӽ z0' ^_@vs\> -VܪfeSvGc8?KV 8"u }{!aaQ^>| fU24+ńc=ڟI\PQ/&LwwuNɷ7ydA^5~L="!`9($_6]!g%*<˦n‹A/yJ k|P:Al %4o㻜AQ`t,V5_dk=I -pEv6;}E[˗|2 n+NvE+S"vqi;V ez>Κ%#ck_< o7i\$e3oξV;]]D-B|:o.8_Cd]D}J\FH,h: [ס -+_* Fj=bս`!% {:s@,mIQ(d]ߴsQH~9r5~o#Tm< \wo%?5A|`5NW`%-Pڧ{V 3^dvE=k5e\NTc兏+(s kze75HD~g5iQ%&OJ -a\kmO k`|@R{YRx(0`顋p3Ƿ\L$/τC Z^;(SO~i {<:-rAĊ$osiލFmjv?W 振M@$GB06%>LيR}9LL@XB`u|7MO=``dXUW(:"N;0gC`5CT䟆gVفLo -3׺d8VHh%|X*)ZB<Ʋg&mնɳˉI2Ȥ}d94Ѵ:׊^A#)N?3.yT=FhYjXs܁5z$'P{ hHg/5˸/LԾOXN +oc;j~EЪ)s̾;.;rTejiK/df5A|{S/ )Sc\^ȟmp+#vL17~k d# +]LeVߐGoo٥\k 9M֨[G(aܘ|RP6n=: b9s2m4{~CD%xSd,&jA x"ПmѬ,+;ŝboB|ծTboI*VDZBJϟ2a{Y0Q(/e@AGƀ挄п]w}ga8.ݲ cS,t^Ujq.or!N]@j +Gē75uʑm$KWNWVF2P,KP˻ 62abw;SBֳ{ u&DChNe^L2Ib^ǞY62"CSl5X!okR6D UjT|S{G3:6A| ٺJ 33kLKEnMpٽqlHZoxV ˏU>U^o\WbY<&~~S'_Z `gקZW(U7Tg4{{r s^=P0@._^זc]ÀDd0X,a<5ݦu0oHdxwE}g/ ( :.ȀVj{E~$>>o !4;_Hd[+h)DnH:BhVaK 1xgLԔ}wZ̵F1GR !0n@0nWJTwʳ'B-M;xZO YX%55֒qz#!4=pȕ4S݀22/ҋjٜft<ǨQס 6vye8죵CJUx [Ĥ"\oMI[KK!t@WdT7(?+O'}ē"}S"FŚs6ndaT4M!RVeDg=}2w;,EC^&?~܉NGFGe`&D(N:=|$ZR1nP̻=?_xGoҐ VmZC*X01>}\g`lИ6`]\; +N/$pjZVƊ^Y>>,.'a0:_8z瘱βyruêt^ +cb+ 1%b>аh-X?}sk=pnHt(z. ǥh4풎7r߇풀==B;- nsG\71\L “ A޸zo%lJW@!ʟ; 4rM22|`%*:c' Nf;UokJ[ ]-[LÝlΔA:x E1'Bɖ`@ݜ +qk3A"l=^yן}Adt6j%K`t"Ok$cIfU7;(G FRD@$t)|Le{U)qGpV#}f2 m1ӓ"qSU[(Bl./}l'/P(g8^`!Wb>%$WыAhW2ytߍj[kB4gwLy.IKlg &ФbJ Un&}$ M@ÁXlDskfB>$L:By\u7] lThp̚0G1T>_<S5 b*uIVWɗU¯=A=( Q@$LTg9x+1l:ٙTXIG;p 6)mnɷbD)|o +=פQ`Zk }^4}dO.+1o2!WRt[Ģ(bv!r{V.qa'庝xL +di).[V;'c1:{6@]PZ,Vci6](f9qڙ,o BJex@˩#Gr kP8Lg/Ó!<]"bX_ <u7߇\l.&D/uGN,(EzR9Z>}ԃqbWɟ"ϟ@0y-γ#3j?$j>Y:6atsNroh8H`2s~)Ӄyoo2>>YQWu>;-ٜ<,E3r/g.#R/ff1|zMT!Dz/x*);bkZkҎ1kLQ\ 5ݒ/XлWb~E.C6cWS|Lߦ "c,/T2ɺSz=~̞g+f)9AX(3יFY9['vӒÄ7k5z>-Gh=UEQ#ǸLΞ<9c@<޴mdkFtTT iwX-4^;qKL}IBR& Hx1Nw v̸H>i,N~IG-PCD0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +cleartomark endstream endobj -470 0 obj << -/Type /FontDescriptor -/FontName /DGDLGQ+CMR9 -/Flags 4 -/FontBBox [-39 -250 1036 750] +259 0 obj << +/Type /Font +/Subtype /Type1 +/Encoding 517 0 R +/FirstChar 14 +/LastChar 115 +/Widths 518 0 R +/BaseFont /TTYZPK+CMMI8 +/FontDescriptor 257 0 R +>> endobj +257 0 obj << /Ascent 694 /CapHeight 683 /Descent -194 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All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin -/version (1.0) readonly def +/version (1.00B) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def -/FullName (CMSL10) readonly def +/FullName (CMTT10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def -/ItalicAngle -9.46 def -/isFixedPitch false def +/ItalicAngle 0 def +/isFixedPitch true def end readonly def -/FontName /KZPXSU+CMSL10 def +/FontName /XIRIFK+CMTT10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for +dup 33 /exclam put +dup 34 /quotedbl put +dup 36 /dollar put +dup 39 /quoteright put +dup 40 /parenleft put +dup 41 /parenright put +dup 42 /asterisk put +dup 43 /plus put +dup 44 /comma put +dup 45 /hyphen put +dup 46 /period put +dup 47 /slash put +dup 48 /zero put +dup 49 /one put +dup 50 /two put +dup 51 /three put +dup 52 /four put +dup 53 /five put +dup 56 /eight put +dup 57 /nine put +dup 58 /colon put +dup 59 /semicolon put +dup 60 /less put +dup 61 /equal put +dup 62 /greater put +dup 64 /at put dup 65 /A put dup 66 /B put dup 67 /C put +dup 68 /D put dup 69 /E put +dup 70 /F put dup 71 /G put +dup 72 /H put dup 73 /I put +dup 74 /J put +dup 75 /K put dup 76 /L put +dup 77 /M put dup 78 /N put dup 79 /O put +dup 80 /P put +dup 81 /Q put +dup 82 /R put +dup 83 /S put +dup 84 /T put dup 85 /U put +dup 86 /V put +dup 87 /W put +dup 88 /X put +dup 89 /Y put +dup 91 /bracketleft put +dup 92 /backslash put +dup 93 /bracketright put +dup 95 /underscore put +dup 96 /quoteleft put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put -dup 12 /fi put -dup 53 /five put -dup 52 /four put dup 103 /g put dup 104 /h put dup 105 /i put +dup 106 /j put dup 107 /k put dup 108 /l put +dup 109 /m put dup 110 /n put dup 111 /o put -dup 49 /one put dup 112 /p put +dup 113 /q put dup 114 /r put dup 115 /s put -dup 55 /seven put -dup 54 /six put dup 116 /t put -dup 51 /three put -dup 50 /two put dup 117 /u put dup 118 /v put dup 119 /w put +dup 120 /x put dup 121 /y put +dup 122 /z put +dup 126 /asciitilde put readonly def -/FontBBox{-62 -250 1123 750}readonly def +/FontBBox{-4 -235 731 800}readonly def currentdict end currentfile eexec -oc;j~EЪ)s̾;.;rTejiK/df5A|{S/ )Sc\^ȟmp+#vL17~k d# -]LeVߐGoo٥\k 9Mՙ= 0)xf -1kX) $%Dlgg5hZBNj/!by(Nv44|0x5>*TχXwj"vǠ\Ar@zgt;B?O}C;J -ߋb >N:u񳻶o =;xT+gW+"0qXٲ"lCpXǹSٵ˪\Y圃ۭȺ7NR >DrɍW*-E Gÿ#9ѳ[BRkO|~OgrVKq|媞ڵ1|@5$ccD2'}}]^C]a\;^v|[Skz - 2WM} o/Pp)t7P^ -q -L [.DRܠK;v=|GύG{m fMGJ4[5h+s.*KLp:ٯø`Z~Mݪ E< AҷwMJ  '-lBdOGlaڅ@ v8x Ghٝ^O?&kbK hW5K _b4䜫͗ R@-#&* Z~!l?S('IT|qj@X+Ϯe5a(.;ޭ=EB.gܽi@ݷHHwжMA5܄.91eq>Rԙ` Kg7{8 )i -j‘OCJ'2I,= nq1WoygI֚KjأM/ 7<}7^nMSRZXi\wծkTI|kM)6꺕o)@Q!T\Q4A~6!O-N_me].9ODV-LCELMG/qzpӴqjM8PY>h& q,ƅB~F([=[۳Ekf(&fK!.^w9kV80 D\ ؐ;eCh[ pm 2shU^y[Q yU)d+9Mh"'K`R2PhͩlAP00euS(j 6}f3wKĠapӽ+=s16s*XOx=I>vb{Nn, -_!}Y6M ^-yCꆉ9+ЇOW"]YYbg> 7otj.?W Abt;pu=F¢a˹̨5Ň uk+2Gç l=B#C3N:7I}z^ˈ4;T~oNr~xW&/|hav|l۰E8UFQ?QHG2;R$rC^EbeJ'%]3:Jf^쩱1P!.Wo2QjߝB lcY+5Tirr E;5Y܁RB7~&5̣um% Q7]@JO* -z_ɄЋ͈Ѣr)Į7@!sbr!"Jֺtbx>͠ ( 4~koA jnÆ -x㶹}iqbRwQP!,}+L;*iȎNh/҆=J -bbk>'u~\M+'1Q({sK26ǭۇT^Bͱ ˪nGpHp5j{ٰ󴗯k9 nQFo/Ƽtrf'4QہŸ_re'л;L*K|"CG d2qj|A?Qe}޺R.)GY#1}lqt"ɦ4obP8+kf4;VxKZJpO> 2]}ԅww({Ūv8Z#iW -|Dt} rC3@r{nh5&~=Y,x$Yl:a|9Lk}he]1ͷ)лw(fU}ne iZMӷj/l;h"QrtGU %4 To}<ad`K Ȉ&G!XO -? ]06u>"D!r 1=epP8PD2k)L]E=nkIZ M2{Q=u҉ۀ%l - opՇ0RH7 wl#3|ۉL_݈Jӯ}[/qs9= *Kj'29:N h﬉^ 5`MK)ÊF4h,>Oag (eV=)j0(oP9vF..o},Tɖk=De[]71PڢE5)RJ$Bo12^<4帾Y!QPםX5ysWxp0 H+\H(Ӿpuӣ!QږX@`d=ح3bCx]%$J oN4#)("3An㈵X|-E]$+k//:\c7d~gri./sWECK1GzDލ2(bdtpG9ZzƸ%ksH3)NJur -jK(L%4bҞ>g<-!]L!1y!}\RBާY^1;Xag8{a) ~Œ"#ԥA{ާ骎rnvY~ey\- %FyJldRej(wTs#Ne"uCu1&A9 \q;3 +T -($@!I4ܮa &pF~PÄ'e Lx8D*y풵uXMB"(PsYXAY-WioWCVP[i`<Ho߸jf -:97Xftn{ruץ280]gm K0Ql -9RU!ꊛzT7tX?+dNh#mUb9ZN7L=|84Õ=/G;"1"!8EƛAa8:_"}/@f{ ¬g:*'%GK{:uPgcb,@?#6=pFGWpp%bìc0t@\#8+ek-22c6#A")QJVdU4/s3f|.kCZfƟt'zCTMIwaUvs:U Ě'BV3 y7ANEՕ ^U~~Htiψč)t. ,*d?Hh9 ƗuqRg|R^h=XMtg7.\ ^ )P&OV17R.@t^qAZ58\i8xc\o*hE$YJ~#i8MwbBbv~x;6lByψ?02#n6ӌ_쉁;>(O_$$J!VY"%TX Qb Zjr:PǦy?p3^FDU)o2HN z~5X"yCBc51nS4ޔU>丣9 s&|E Nc9ЪMFsgQىn#e^ -%V,G9M!t~~|v9s_n 24qH%!YGD+)BP-~pNobhlֱKn sy93EJ=ILc>30r}Uio580meߏS!ńfE40 >hh[|r@;ӛYSKNr0Shr,󨊋ry]/"w'npmQżof1M(߸< !&R[U\Fjq#$4$cijm R@v^n>TUcbhIu{!n $iRϩ-L <žf:A|!ȉeם,\WEIhGMc;Vq?|<„{!A,Z>6s^̨D[A/Bh~DRVL Ȇ&ץ ? tJA9 r> T^!3$y%r`10W-|b¾eӬ' -,ި mqXNO\rY| tZiuPzlH -i\ -j6`]Ch}#P>:Lz4$( `39庘7Q$Q\hk{Nҝ[{VlAj E.?FL2!j -)1dJ`t3Z`tU?dc$2?@?bG | 7Ki5yeknM7Ѐu㙆 ,;Z ŷC4yb/p%e@aߥ'Xp57)/ -fd.o]NS<0[ץD9>>%dk`KF,PNC2C9ffR*Yti?aiin9 $H=إnV7~?^=rp&~ugՔI@sq֪B0 Bh`ԭMH<{;8C>'o]*B}[T9oVxF;pbU +oc;j~EЪ*BgNӽ ؑlKq*޲Xws|QFqv`zXMyp"5O˩YŝP(DT![v67XFlU&3!Rq4wσ~j+ou_c2Bطj=-8\Dg݌] /%bԺnٻڿSy b*L(9sWF R:EMksH02E?Oe+Z'zK΃оif <,EDNZ|J#BW3ϗMp(%5%~(5Bk}Aj c'S-8*!iy$G.w g J0nr +;଍ Kr^ox7p4= CyO#y[49'n*xx/J}o֯p6Oޏe}hà1W6Ϋ%(i]Ii +텴""b3=5sJzbJ>[Wе H 2"ێ0Oy9.t:=$EǪ ]to`% +'EKKfrRK^y`vO^v~ZwR iNMW3HSp+T,q!s0(ع;U+3"J8q3dJ`77+IuؿhH<=!'T́2.r% +v rd c[[ Hu,>d*,R`8'ξD 4} SYe8X|v{ }"--GdvImDRM&OT`MaXc:rNS؆'GSk,ې >a cֵpeW1Jm=6dgaeR#l/`Nj5NEN~QJSYm#M$_#8٘w 8HȞ2'{G [a%ºQE%1l$ks@+ʢ@U4x R3O迚#0GL + G(ŕ!8Bcz^48G`xѰNE@PC@a9g.7Q$hWJ\U`z < )QKtXcs[)&:S[]+39n\qx҆3Jy>Dg"^ݘX4d{ hsKA_&F05nȗ=:#7GJp\S=j48ĿIgi'9)2+$ޥ\ĚҮ'Ȱ;Ó cEzMhi#1P]+>N\r&fBbfI) h[&]/4ZYk0&gvr&tAgD=Q:t`{0a]U$qpHsS@%%+tv Eu $Ǐ`i 3SV,Vw-a?vg)K}koz|nB 7mik 8[ ya6o!:z~4]:1!jl0Rl*aA-d~ԇ %~ôn: qKVs=-0чg#}$;AKhjP#U^݊8ufiҞ6=]L|\' ՋOΓYW}@<~c3zEc!NjH 7gj~ՅN}8`L4_R㩃`pJ[ +6>bE@GG( &6GqL\#ǿ{'2: ˦5)!#W:tĝ)1%@goviWv0B%fmLgP$ԾTGh +w|=ϊʼh`@e㕒D˖ar&|[J ߀ O j'Fڙ3uЧ;L/7)]4Ab r3,̖IM.Iv6y,mzɏ ~ˎMT1Ȍfŋϐa:/̼Ȝ 's. +)G XJytCK]n TMew%a{zs:o ;L@uM0&:J#n5ё}&z]Pʡ5#cܭMEVIڄd$tRIQt,D%<:|(%IT 71 JLg3inF&[Q^rV_Wv4T= ưx\@RUu'*R.4p'8G{)ů ) /On.yQ+9i`羷9ܤ*ݖvWȥ"մ;Q$ڥWm2$o_Yy\ ;S34z2=QK+GOYB _qX|.p|Jjm҄ɥ ʴ.7w!J4a]o +BQ2^m*(p'P3Z8ScJ*T2dPd 5la*/ S:Sؾa| 6_f,ȗz%3| U zV5Q jq2# T_x$[ii4jJ>c֕:"?u[yF)͕cO;uQ;{ţr(好mv/cFxsGDXm~Զ9,UnĮCݒf>="#BӉ2%dh ޺VH-Q)?<ɿj氊03",'?Emw1uHtu}|QBWdQf,[ư#d|muVc +F%xKƕ:8|s,&DQe;?ƒɯ` ^ (4m/ ?pq6vۣ}%=iL[]J/2vJ8FB'o\QJj.lGt$*iT2n$]KtrX!V}riܺ5D;s_>Nb8YopUNU'>VT qB1goquh~3tO3i4=B]g8D6L|W~K?L\F?i<;JSLS;.ax +-eSlSV"57Q:]-Io-pUWb;v$]FB3󰁃!~GS )+CP&Dq݇rEU9?kr$F+)U){xgc'*5ŋ>vc6l%d=ƍN(2Gz0Gc>cXGR*/̸Nk @kvmddzj. ;+K33'I15D%hw"R'ܿ{y2uwtus[M͵3E:!ޱw'G #{-{\qrQQ7iټygert@ +?⿪_az-L7GBDRlAxCO0bz AQY6>QRhCV$ʽO#U[!*R_jowYWdvժž;:nL4Bl3MjSCL+a۲bu,] cpTɉ!'₲"){OK'yz0'o|.X0qΑ끒b jB/h3B9tCO`ɥMiThboRsŤ +q;TxOƲXCp:$ Bn +m#+V+J>7kس[Q_cg.N#' H򥿱]K8?>b`[z/3 䮀o'*I ,ƀh8Zn.cį׺י#lKg. +4#d K€X+jν FO鉎VmߛxSWTƜ56wʮaztAܑ;}?+.\䃻c-JuG0xHٍ9MG"?M | 5h󀺽*{soq[=ՊF{W  j%f_i fUބscp<֥TTX +jN8hac]n}O}ndO +5nO^xQTwnj/twLQ_ra#95TӁ} g7qtء\y}O|Ddpc\Aod#2~d"yɒEe\BnqZ0JT[=CT/K +W0GτGeјJWYK\›WB*jƞ$XBkz8'VQn`e8O K?n'z\M|CK nI ‘.2&r:o0%h^T=F583|H1JuR8c' C]$WHħq-#T;l%{dfjLio7/ z) PF=W(@- +_z7Q4E׋:hHY@5HSxd0c"ڃ㞿~}/N(R{µDHI"^>49NW6>PRtG !GCnI#E!? 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>+F9y.>u`]պ?T9cԾX UW_ +2m,;(}#u.Zf偏9%Ez 4e$@B(Ab5-o"Wx3qH> w+pB<˗׸nFNO +"}Fvc +/WYa"^[[&O9y\"\R9oljFOQٞO{9 ~CŋU4oK_B/"d★#5ռ[:[7Wo`8inNt}42Yr3潍 .Ika:R141omLRod V)f!ނPBU-@*?zc[TA-xQgPIK}γ?șBvvNU916MD>pEM搨?"1ZjDNS7VbRVY=Y22*(x@)_1Bebv[V~qB?%KGU_7N2ڟb=}Jë8ɻL"4}'͡ۇE(aJpX5QZTN$dW}I>`h+LZm]IA4)t"f9vDW4VRW|,<Ⱥ%PK(^?cZ\So>TEJ{[*Ku7{ hJQ4S35ޙ3+V [2'rwCu$g3,̪2Ec(^]sM{GԭXaaҿs+ipk^dƙCu~lw\$`^U]$XNp,nq6Qؕ*LY{;́v>\RyemŒ+ͻN*{ޮA U* +$K[!.ݦ~!Ln$ޓ;w[y@HX&g"dtoG.I~5^=ax}fPO* 6Zfxwtx)|oOx]~JPtjɬx0\4xC! +s* gR(=֓ Am muE6V}.ɼ*CeYN +ނsƋ]<5&uwt.W J0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +cleartomark endstream endobj -472 0 obj << -/Type /FontDescriptor -/FontName /KZPXSU+CMSL10 -/Flags 4 -/FontBBox [-62 -250 1123 750] -/Ascent 694 -/CapHeight 683 -/Descent -194 -/ItalicAngle -9 -/StemV 79 +206 0 obj << +/Type /Font +/Subtype /Type1 +/Encoding 519 0 R +/FirstChar 33 +/LastChar 126 +/Widths 520 0 R +/BaseFont /XIRIFK+CMTT10 +/FontDescriptor 204 0 R +>> endobj +204 0 obj << +/Ascent 611 +/CapHeight 611 +/Descent -222 +/FontName /XIRIFK+CMTT10 +/ItalicAngle 0 +/StemV 69 /XHeight 431 -/CharSet (/A/B/C/E/G/I/L/N/O/U/a/b/c/d/e/f/fi/five/four/g/h/i/k/l/n/o/one/p/r/s/seven/six/t/three/two/u/v/w/y) -/FontFile 471 0 R +/FontBBox [-4 -235 731 800] +/Flags 4 +/CharSet (/exclam/quotedbl/dollar/quoteright/parenleft/parenright/asterisk/plus/comma/hyphen/period/slash/zero/one/two/three/four/five/eight/nine/colon/semicolon/less/equal/greater/at/A/B/C/D/E/F/G/H/I/J/K/L/M/N/O/P/Q/R/S/T/U/V/W/X/Y/bracketleft/backslash/bracketright/underscore/quoteleft/a/b/c/d/e/f/g/h/i/j/k/l/m/n/o/p/q/r/s/t/u/v/w/x/y/z/asciitilde) +/FontFile 205 0 R +>> endobj +520 0 obj +[525 525 0 525 0 0 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 0 0 525 525 525 525 525 525 525 0 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 0 525 525 525 0 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 0 0 0 525 ] +endobj +519 0 obj << +/Type /Encoding +/Differences [ 0 /.notdef 33/exclam/quotedbl 35/.notdef 36/dollar 37/.notdef 39/quoteright/parenleft/parenright/asterisk/plus/comma/hyphen/period/slash/zero/one/two/three/four/five 54/.notdef 56/eight/nine/colon/semicolon/less/equal/greater 63/.notdef 64/at/A/B/C/D/E/F/G/H/I/J/K/L/M/N/O/P/Q/R/S/T/U/V/W/X/Y 90/.notdef 91/bracketleft/backslash/bracketright 94/.notdef 95/underscore/quoteleft/a/b/c/d/e/f/g/h/i/j/k/l/m/n/o/p/q/r/s/t/u/v/w/x/y/z 123/.notdef 126/asciitilde 127/.notdef] >> endobj -473 0 obj << +178 0 obj << /Length1 1016 /Length2 2355 -/Length3 0 -/Length 3371 +/Length3 532 +/Length 3903 >> stream %!PS-AdobeFont-1.1: CMSY10 1.0 @@ -6163,25 +8678,25 @@ stream /ItalicAngle -14.035 def /isFixedPitch false def end readonly def -/FontName /WYYAGH+CMSY10 def +/FontName /DKDPTY+CMSY10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for -dup 60 /Rfractur put -dup 110 /backslash put -dup 106 /bar put -dup 102 /braceleft put -dup 103 /braceright put +dup 0 /minus put dup 15 /bullet put -dup 50 /element put dup 21 /greaterequal put -dup 0 /minus put -dup 54 /negationslash put dup 26 /propersubset put dup 27 /propersuperset put +dup 50 /element put +dup 54 /negationslash put +dup 60 /Rfractur put dup 91 /union put +dup 102 /braceleft put +dup 103 /braceright put +dup 106 /bar put +dup 110 /backslash put readonly def /FontBBox{-29 -960 1116 775}readonly def currentdict end @@ -6197,204 +8712,572 @@ x Qk%Α%֋jo&i I"ay\v*[5`mzh1(l -y[ gI𬥦P,EHJz̘ZokO3 D&'5cCWOKf^T/lJA|6 Ĭ`YS@QȿdEH`L$-bH3ԕSMH7Ib=ae}L*"V:-<7?+gmJ - 6ٜ[A#=MdP'V\'C E4 9\d{$eMqvbN6իpE$3cʝpR]Z<t*!'ě4a{K ?JeRraΝ&>6.ɯ*]#O0^N+k]1<ÐŮ*g5]_$9^6oMdGj + 6ٜ[A#=MdP'V\'C E4 9\d{$eMqvbN6իpE$3cʝpR]Z<t*!'ě4a{K ?JeRraΝ&>6.ɯ*]#O0^N+k]1<ÐŮ*g5]_$9^6oMdGj0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +cleartomark endstream endobj -474 0 obj << -/Type /FontDescriptor -/FontName /WYYAGH+CMSY10 -/Flags 4 -/FontBBox [-29 -960 1116 775] +179 0 obj << +/Type /Font +/Subtype /Type1 +/Encoding 521 0 R +/FirstChar 0 +/LastChar 110 +/Widths 522 0 R +/BaseFont /DKDPTY+CMSY10 +/FontDescriptor 177 0 R +>> endobj +177 0 obj << /Ascent 750 /CapHeight 683 /Descent -194 -/ItalicAngle -14 +/FontName /DKDPTY+CMSY10 +/ItalicAngle -14.035 /StemV 85 /XHeight 431 -/CharSet (/Rfractur/backslash/bar/braceleft/braceright/bullet/element/greaterequal/minus/negationslash/propersubset/propersuperset/union) -/FontFile 473 0 R +/FontBBox [-29 -960 1116 775] +/Flags 4 +/CharSet (/minus/bullet/greaterequal/propersubset/propersuperset/element/negationslash/Rfractur/union/braceleft/braceright/bar/backslash) +/FontFile 178 0 R >> endobj -475 0 obj << -/Length1 744 -/Length2 581 -/Length3 0 -/Length 1325 +522 0 obj +[778 0 0 0 0 0 0 0 0 0 0 0 0 0 0 500 0 0 0 0 0 778 0 0 0 0 778 778 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 667 0 0 0 0 0 0 0 0 0 722 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 667 0 0 0 0 0 0 0 0 0 0 500 500 0 0 278 0 0 0 500 ] +endobj +521 0 obj << +/Type /Encoding +/Differences [ 0 /minus 1/.notdef 15/bullet 16/.notdef 21/greaterequal 22/.notdef 26/propersubset/propersuperset 28/.notdef 50/element 51/.notdef 54/negationslash 55/.notdef 60/Rfractur 61/.notdef 91/union 92/.notdef 102/braceleft/braceright 104/.notdef 106/bar 107/.notdef 110/backslash 111/.notdef] +>> endobj +175 0 obj << +/Length1 1281 +/Length2 8108 +/Length3 532 +/Length 9921 >> stream -%!PS-AdobeFont-1.1: CMSY6 1.0 -%%CreationDate: 1991 Aug 15 07:21:34 +%!PS-AdobeFont-1.1: CMMI10 1.100 +%%CreationDate: 1996 Jul 23 07:53:57 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin -/version (1.0) readonly def +/version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def -/FullName (CMSY6) readonly def +/FullName (CMMI10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def -/ItalicAngle -14.035 def +/ItalicAngle -14.04 def /isFixedPitch false def end readonly def -/FontName /HBIEHQ+CMSY6 def +/FontName /GABPLB+CMMI10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for -dup 0 /minus put +dup 14 /delta put +dup 18 /theta put +dup 33 /omega put +dup 58 /period put +dup 59 /comma put +dup 62 /greater put +dup 65 /A put +dup 68 /D put +dup 69 /E put +dup 71 /G put +dup 73 /I put +dup 77 /M put +dup 78 /N put +dup 80 /P put +dup 82 /R put +dup 83 /S put +dup 86 /V put +dup 87 /W put +dup 97 /a put +dup 98 /b put +dup 101 /e put +dup 105 /i put +dup 106 /j put +dup 108 /l put +dup 109 /m put +dup 110 /n put +dup 111 /o put +dup 112 /p put +dup 114 /r put +dup 115 /s put +dup 116 /t put +dup 118 /v put +dup 119 /w put +dup 120 /x put +dup 121 /y put +dup 122 /z put readonly def -/FontBBox{-4 -948 1329 786}readonly def +/FontBBox{-32 -250 1048 750}readonly def currentdict end currentfile eexec -oc;j~EЪ/ ȭX~id}S5Q!gtⵎkJc;rN^X5.Sy +'IqV:r㚉#,# dBZ *R*"7٨y! [R߷`]{W5Iew4 9ۍBj$T>R-%thE$/JLH\wdQ_RL@C>v[2AX>'ƋX'Yb=aj1T'{!q+3^3p<{-O$Ց0H}RX~K2SsIq V9`D̊uW^rv&USUt;P6ICnYqTom7_#~xsN@B.T'rӬoE(EXIʜ S9uN}u͘J$cu -cJNzy+CHGa] ,M1 -n-aUSn*LP2cQx:?~64bGtQe^d=uƱA'Shu +oc;j~EЪ)s̾;.;rTejiK/df5A|{S/ )Sc\^ȟmp+#vL17~k d# +]LeVߐGoo٥\k 9Mՙ= 0)xf +1kX9JS:6V =!X>KM)9! I}HWIUcl=GeZm>nQk2=1p%R`%$]c{!W+8?v(+)0ӈ!YahtA?H @m?|M X9Հ֨#2 +:m,MZ+ǒ\Ex9Yn<Ŀ2^FC[`T+ȬD]ǸFF$oB!>;A\T hxh|5:6;ϖUǷ6~k.T*{8K`y8'dT|-QkKmy9 91|Afr (K*)%_ʬtP`.rY?nrn{v2O_5;\g>R{4_ +: 9pEz~Gu E[n窙i9ヽu#=X&>~J~ПUt0t1Cqs-b5 4AG˧OE1"?@~ +R Oԁ>XO8' IVTnP #ԫ3L3zٛoH9@uD Jsf*+5x/Jl dc!=2~S،%WqJ&Y\Fb.'Jbɢ>B؉p,#ڠ AjDBWܛ3mT~9,Ogj_b]eZ9Uuhsً1λ2v6ܪ%j(Mڹaã,{y[,z0lHYRoiNZ%^;fFm˽8=%VxZ$&dn=5)3#o(l )`j1BrO8@1'B~ܬs.zY,/@(;F]s{RhȲ7*qlt 3.9@Wh zߗ$~)Ip1HlŒfh,<`=-{=*fP wЇoais&`^p~|9 BܔW +7WR= 1C؎a<+c}6J_`#HְּIM Ç5jvDK3Fш]E6&R-svg;RŒNT-Su> `Jp{Pm7zBU9YcZ y2uP&`x " Ov+RjZanL/OcC(*+ڋYzaT|d1e4tP|E;0 Ns(Z肸!*)ZVx T'AFKCE;2S-P*ŏkWҶ tYMK[k(GӠіeN#`EH6Rt6RH"J6°n$U-MbMzX3ɲRqf[|_T{]ӂȍ~Ƈ393ȏS(6skȈ .8fr3392:"sb[-le$b,C3sO"w-h`wE|̌|. /̛ނ"ߚ:5%jYUן |wv)HvZ>Y~1N#^̒&Xxt(ARKuo ÇRT2Si[K'tL)HiK#~(kg' 01$zli%=a9{L7u9yCL5=sSvsQ񁇥\4鑪?om30Weĥ'Th}-}膽io2G6ȚR Pm{ژpebX@iH?pY b\/b#,hA@kog>6"~ְJI? DԀ߰jY7crM)8tGfQET'Jq}񁨤qe_EW>:VJ,ɍT*VWv/^m7_}ȾonPlY?JO_t5dJ .l5%(`w,,iw BWc[ΩCZv>3 +QUF1\+鐳iJxɅ߰:!jnU2":V$8HTbj/m+(蹹pZf9gWo?Y˲Wh+j}ggZ@MfB?s nʹ5sGZDɥ@^\H&Z$2G-4༺{2$/nJ (M$%B>_U#|ؙEgGѨfC#=3w涪EئƴSQyVq9G $;Ec/*7$jJXA-c+E$GTSgCi#a'q-~xoFs4h *eeOi8EV:pC/=?d>Hd*mt&Mr==|2$>j7_v0h7+mX A"@F^yi+;6!~ݒXIkDe2OrlBYB/ܬNޯe:WU&߄+7nQeHC%ݍL=vܼ~ r`9<yu9MŶ֓29(18HO6붭$m^'C`IV/ 1TԹT5y^FMRuVN:Ο66CRajo$XEuRl/{~N`,j](嵡 +JUGlCh f8t.滗`/M#8/;Tu9Jsטx?aj%T@'d WcJә38 3!YgGvደEK) Ư?aJVKs^qxeZݵDGz9&hSJa;.jmNs)[~.'^p5 rs28Ec$Yq]|M&`C#eA_¨<UI],,R#-{{q:f^=MG>eӾV&C|ebx cgݓ* }P}驶䰝{6Գet.t$d!"9RaFqu_ MRa7v4^fU@;$<› 64󸏆.XbVnƝpQ^Pu3V[-C9k˿>6θ5/$#Hw!י9DG͹BK!y(y݂0—=}Ga@*>ktVb9mLe5iiU}E620ְ3 0 R +z%Xԝ4Du#2D6?3.╍~҄jFǀظ;jQIy)\Fry46MZ3Hop-KxZmoﺀ۪0뮯<=P;GϙG1w27jS()W݊i ;n.FBS 1fA.YW;dlxA58_ J;3a'<0*Na4=*5 MvnбZ5hNSTMpl ߱BRH µTO 0yl-]ث[&YybOƂm W9O9lUTU;q7qC3SqU#[pɈfmXDzv.L ? +Mf42f/9JnFGz %|e-Az4BrpΡ DWuU37RġbIʻxxW#;z:Kأ7M _@ut_-]p=4K H088m)պaP7pTH*Pg+4g?-_,Bv NTL̎$K$Љ + &?h,B/J^k +n`wHNPYN@3󵰹w)Ｇޖr5mkjzaggU(2J3p !/BoXw3.k喚b=miӗs_N7v;=$wÆLSO[׵-;E+^gVS1>LxrA,6 ;^ Zr: k3 Eh|LAQy'>])ܿ9~_U cp!IһD: +%/ġe|!(Aiprߋ9۱*iCTw hqT 0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +cleartomark endstream endobj -476 0 obj << -/Type /FontDescriptor -/FontName /HBIEHQ+CMSY6 -/Flags 4 -/FontBBox [-4 -948 1329 786] -/Ascent 750 +176 0 obj << +/Type /Font +/Subtype /Type1 +/Encoding 523 0 R +/FirstChar 14 +/LastChar 122 +/Widths 524 0 R +/BaseFont /GABPLB+CMMI10 +/FontDescriptor 174 0 R +>> endobj +174 0 obj << +/Ascent 694 /CapHeight 683 /Descent -194 -/ItalicAngle -14 -/StemV 93 +/FontName /GABPLB+CMMI10 +/ItalicAngle -14.04 +/StemV 72 /XHeight 431 -/CharSet (/minus) -/FontFile 475 0 R +/FontBBox [-32 -250 1048 750] +/Flags 4 +/CharSet (/delta/theta/omega/period/comma/greater/A/D/E/G/I/M/N/P/R/S/V/W/a/b/e/i/j/l/m/n/o/p/r/s/t/v/w/x/y/z) +/FontFile 175 0 R >> endobj -477 0 obj << -/Length1 765 -/Length2 746 -/Length3 0 -/Length 1511 +524 0 obj +[444 0 0 0 469 0 0 0 0 0 0 0 0 0 0 0 0 0 0 622 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 278 278 0 0 778 0 0 750 0 0 828 738 0 786 0 440 0 0 0 970 803 0 642 0 759 613 0 0 583 944 0 0 0 0 0 0 0 0 0 529 429 0 0 466 0 0 0 345 412 0 298 878 600 485 503 0 451 469 361 0 485 716 572 490 465 ] +endobj +523 0 obj << +/Type /Encoding +/Differences [ 0 /.notdef 14/delta 15/.notdef 18/theta 19/.notdef 33/omega 34/.notdef 58/period/comma 60/.notdef 62/greater 63/.notdef 65/A 66/.notdef 68/D/E 70/.notdef 71/G 72/.notdef 73/I 74/.notdef 77/M/N 79/.notdef 80/P 81/.notdef 82/R/S 84/.notdef 86/V/W 88/.notdef 97/a/b 99/.notdef 101/e 102/.notdef 105/i/j 107/.notdef 108/l/m/n/o/p 113/.notdef 114/r/s/t 117/.notdef 118/v/w/x/y/z 123/.notdef] +>> endobj +170 0 obj << +/Length1 1707 +/Length2 13986 +/Length3 532 +/Length 16225 >> stream -%!PS-AdobeFont-1.1: CMSY7 1.0 -%%CreationDate: 1991 Aug 15 07:21:52 +%!PS-AdobeFont-1.1: CMTI10 1.00B +%%CreationDate: 1992 Feb 19 19:56:16 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin -/version (1.0) readonly def +/version (1.00B) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def -/FullName (CMSY7) readonly def +/FullName (CMTI10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def -/ItalicAngle -14.035 def +/ItalicAngle -14.04 def /isFixedPitch false def end readonly def -/FontName /KAIGWU+CMSY7 def +/FontName /ECPEGS+CMTI10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for -dup 0 /minus put -dup 2 /multiply put +dup 11 /ff put +dup 12 /fi put +dup 39 /quoteright put +dup 40 /parenleft put +dup 41 /parenright put +dup 44 /comma put +dup 45 /hyphen put +dup 46 /period put +dup 49 /one put +dup 50 /two put +dup 51 /three put +dup 52 /four put +dup 53 /five put +dup 56 /eight put +dup 57 /nine put +dup 58 /colon put +dup 65 /A put +dup 66 /B put +dup 67 /C put +dup 68 /D put +dup 69 /E put +dup 70 /F put +dup 71 /G put +dup 72 /H put +dup 73 /I put +dup 74 /J put +dup 75 /K put +dup 76 /L put +dup 77 /M put +dup 79 /O put +dup 80 /P put +dup 82 /R put +dup 83 /S put +dup 84 /T put +dup 85 /U put +dup 86 /V put +dup 87 /W put +dup 97 /a put +dup 98 /b put +dup 99 /c put +dup 100 /d put +dup 101 /e put +dup 102 /f put +dup 103 /g put +dup 104 /h put +dup 105 /i put +dup 106 /j put +dup 107 /k put +dup 108 /l put +dup 109 /m put +dup 110 /n put +dup 111 /o put +dup 112 /p put +dup 113 /q put +dup 114 /r put +dup 115 /s put +dup 116 /t put +dup 117 /u put +dup 118 /v put +dup 119 /w put +dup 120 /x put +dup 121 /y put +dup 122 /z put readonly def -/FontBBox{-15 -951 1252 782}readonly def +/FontBBox{-163 -250 1146 969}readonly def currentdict end currentfile eexec -oc;j~EЪ/ ȭX~id}S5Q!gtⵎkJc;rN^X5.Sy +'IqV:r㚉#,# dBZ *R*"7٨yQIeύrZp(IJ8#+P.ղNC; +[i-{')/Pph QC -AȜ;k5,4Cof^^ "XWeBL'>@{.'b[>PP.DW,={ #VX6nzT`qN&=`~+GH c%=TF{v/҄Љ{1L+p8S>(^x4=r\:5 -hgm0T?l|@LJ^^*蠪^ii޹rC8f#<%)r>0nˠ#'3S73+3ymIdzE,3t&Z{{ F56ZC9C] -_qq9!֤ۜCy͈ -P aOVxs@ԗfEM%EbxN{ 0F_n„p|>ůo+6 `"C{ sҎ.X.\xG|%Еs{ Pc +oc;j~EЪ)s̾;.;rTejiK/df5A|{S/ )Sc\^ȟmp+#vL17~k d# +]LeVߐGoo٥\k 9Mՙ= 0)xf +1kX9H!.vPN 7qjj7!6CɫTw.]ʂԬ/J1]0': fqdU24tԡ?@^g+0[ +KTB/UٝFMz7 .U{7K.=UٯI C^$O7Û-tGrz J:"ia~ +T"*^MMчff0EM +z8uwi*?rw5(*5nZ٫ +4*RX&RTdRM3m ѫ& .Pd8;]F |H!%T [-͘ޞ E|pV$MU]n11RP} +d +.{IQ7^N-+C #̲]\M؅1 +pk2 +\t,o)2TTڮw}Ҏvq `;lSgs3c-h}W9;ڤ9Ö`2 ${};;m򉅘^l1'C*~O`XUn0x|cɾ'iD%WNCەU.9R*R?nLWˆs/[趡ۆ8>H@#ٻx wf} ayBR C1|P|'r,߰INJU`DkUQe ]Am\"GmFO )2rIuW\SW,'vdy]eqXH0#~Z9|pŞPOHau`Cb鬅<=?t8!-~C0VY-aht`rxK[3,f @=]wG2C#܎d5BYIWu8]o\ !~}SJZ݀$c̪OJ.k0F)L0Gɴ Mں45Ȟ1l֕(4݃h8?CL7HHǷh+ }$ DO.ZkJ[Gtכ?Tcp{nRƷWHW%8޸d +7Pep_=R(`9p++9+@dW4Å5]ĕB⯞dPkbܕ'm4vLδS*0\-JUr%'Tq~̈́\5O?ƯE6"Abe(eSd87mQX7IR*tGPz%x!vxJ+#}A|?qIHHje6h2[r"l˦1צAfZGn懗{]}%,Ɵ!@cϿi f&瀌] xRs;AZ ;S:|$8H*\Eϕ/j=F~lR!꿸dq4*x(B"ZY4RN f8XW^eńiZN'Y + :1@H9D0kq'Su|#Η<{8t؞#DfQ_4pC&D409oZBԕV4*2t +ӄ/SS뼗%ĝwhtB*mtX>aO Zbc&sYrw^&euL ( 5H$!(xJM Ply/6qc2Poi֬c)mX=^Wʓ(*cKeq^zyZ*:@w0㢇)_]?|vlIyJ;45 71:l.=cS(Cb*Y58%D<:TD$S*o=T5 L۾CӶ7;.tB]j;vUCzPaF>vb5tz7HԇU^g@& +iO{&3oʍ1j6*37A^s^P Ig06Y: ih\fojHNkͣ$ x+ X5Y)n3N +aBx̞?1"^ ȋ!# +ԡ{#U588)[IǠ_7X)n cMt##*) 6iۋۂGb*kԻQ +>+9 ג+H\o;.7`+He 'mg>".V7!=ql7ξһ>Y@P\(I1:9>Is ~ϊWuSŪ|a+₥K? 'jv6;`x(T>Ԛ6aH4 ӈ0K[ (uO\hT3^v-4@W؈qWq)'4}P;?/D-}R~ g}BVhٽǁ%#mO}6%UB#lۘT_p[M9΂MGr +g1@NF!v>LK`0%3Sy)RX0B7BK`3[eƝ{c! /T[,S QlѢ**O[, ^1T2^].[LyP-HYx3:X@>x惼Q`Ӻ~wrĵ:o0X8G9ͬb)$nW L4~T-+A@g~i Q J%|}0'AzUؼDD`I`$~t=rk鍆yl;h?rǬߓgiG)}ߝ+@cdo]  bꄆ_t0ǣ:O"9\I.l^&TB@Ȅ駐^ئ93̒6i"Sa̺1 +k$6@i0f.0=C5pbR n)@G+ooWܳɎeh5/H-|Ҙz /aۗ 9A~?f<'fKH7(@Q 6?6{L(+zDxk=aOc* mS0 +KNykHrxTc[q9%]i'ۢ R 3r#SB}ZQ6H +ћCT*BLνR$?:R*YPmyb&a(58җp1&`D+'$e( {:\.@#\Йs% u;GY% a߁G S/AUr8VRZ?TT*hVr J F0؟mɓgX9w4e\ombyREψvv:k0vĻk۰>0vYڠM%)̺, lؓ/pײx!A4{'ĭ{Z\I 2\"E(FDKu`@&;83.kal6؜bnޑՆg,1ѝ|hڻhӻ3;I`BwZ5~%ٳ 2'X&N^{/|p6leEzs̿e + {T ES +9iMw3w/rWL\3AWZ{x9 [fM_O8A,s+ڣ3Ub_@ x4#AιqF[ D/5ֆN^*?XْNePX瀸0eQ =нmʤ؇⡈X{ktQ a0~!eVmpA[e"ixFΑ%%Mv䚂hnyBcWW;O|e@qcdXaiO*H@8 07閹,+w&\R>Jw9El!]RgNū44TcɌAr9=Z7% SLvIwvffa;s;N"trDjJ?# L,r6KSCub8鍩j$[F- +Km;^7kvCL!o\)@]}/'{[WJ5X" `;FCMsd +Zv76}cؕ"PAE鱍xW TmPɖC&\@)J'R;o\oI!x_$+s\>lg䝅p8!2pWu7-*,p;נY9*kZ&s *AfqB>mdCl3[>b^͂EԬ6Nk? .Ed!,ȸ״h 7x9zo=UP\vqeh" +SZ*y ?ey JIW4rS V= B?bM0F.WSMa;"%.Пjĭnr-Қ܍sO,ď@4&HM*bRA%uMe5aD~թHji+G(0MKˠ̎:`ۋt:Y8$|BCGdש+E.[~ |nw2_XG&?SLm y^8í3SOեo81CQ7 + 4gy-FeaaĈxvyD@s$^qCb)| w`ܟT&$[w LG:zJ-Ch}>%d=r>h֝aGAG3`ghh@))ﴀS? ) |;\֔ zKw1^Ī1< bk'( I +90 ށM̘kwG\xmZB(#}PZ((wuTkN} 5 - +e I=;]wqU´9H(Bn16hNXN̵cr]eT9G‡j~;R!KCZoJF؜uB+9E̞mshH%NMR}普X\_ѽ_ "6d&twpaC;)0.bd<wR,һ%(]ӭ5+yJzvAX˃}'.f4rE*h l 4%&p0 YRsdBxn [,V{sx\?=Adm`ý +-.eNsSdrԥPpCBp}WN/8*}Pf oB(@ iɂNĆdM52RWE$x@a&CZi΁&%lMhKB*q}0HYM*9)įxEF;ZJ핰N@axRvb<ϑ$)Jm]Lz-pETbŤR 98>-\ +2FJ l. 2i sըoQ/5_WJU)4&3&d,1?mZ3yfȇ#$rtu[Wƣ][FY,=YRW -R4`pe;Tg"n7kzQPSJE99 峢H/ad-"L6-n ^90ކMx,5ȼ9~5/[|7؂W;pDi;)Gʉ ]UE*Qe p|ED]}g-+-ZKt)?؆)JSꣅ%mD9}b'Zw2ga +R@wBYa:0!!ksxc +/༪r Ǎ@/XBVz-vZ;kZd ֚s/r;kꭻ>)H*}L啡 ^$,Dv!$ RN7_fXWKTFhʬz\ܘ8cntjU/)8X)9!wܺs zM NĵRќpA&mi+hڡXr'>ֹ[[^{tʶpG׽^eyR9z^66z@8Gjgձ(./hr7wdm^AYy#P7:Z"Mը컜+j'bBw'2nI|-_3GbQ}LF\>G~nmiqQЕzgZ3OrqUv2+N'ۡhSuFyg +ڍ=*t!?0|%ˈ=}`sX@3s^WYXPT0?BG7}W(/ Fjز4J{b{juWK437V!pN_4ӈ}8,rqQ. 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All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def -/FullName (CMSY9) readonly def +/FullName (CMCSC10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def -/ItalicAngle -14.035 def +/ItalicAngle 0 def /isFixedPitch false def end readonly def -/FontName /WVGFDG+CMSY9 def +/FontName /EZFILZ+CMCSC10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for -dup 32 /arrowleft put -dup 3 /asteriskmath put -dup 0 /minus put +dup 39 /quoteright put +dup 40 /parenleft put +dup 45 /hyphen put +dup 49 /one put +dup 50 /two put +dup 52 /four put +dup 53 /five put +dup 54 /six put +dup 55 /seven put +dup 65 /A put +dup 66 /B put +dup 67 /C put +dup 68 /D put +dup 71 /G put +dup 73 /I put +dup 76 /L put +dup 77 /M put +dup 78 /N put +dup 79 /O put +dup 80 /P put +dup 82 /R put +dup 83 /S put +dup 85 /U put +dup 97 /a put +dup 98 /b put +dup 99 /c put +dup 100 /d put +dup 101 /e put +dup 102 /f put +dup 103 /g put +dup 105 /i put +dup 107 /k put +dup 108 /l put +dup 109 /m put +dup 110 /n put +dup 111 /o put +dup 112 /p put +dup 114 /r put +dup 115 /s put +dup 116 /t put +dup 117 /u put +dup 118 /v put +dup 119 /w put +dup 121 /y put readonly def -/FontBBox{-30 -958 1146 777}readonly def +/FontBBox{14 -250 1077 750}readonly def currentdict end currentfile eexec -oc;j~EЪ/ ȭX~id}S5Q!gtⵎkJc;rN^X5.Sy +'IqV:r㚉#,# dBZ *R*"7٨y=cLIPsF'f> ba -]fv}3N/+ ۿЃk{ &edߕLi7E)THFyr>B#![Bn遄I6o٭ߞ|IZI Vy$;,W|H~_P3T/n2W]~>O =PiX䐮GmaۇmMkobhnڢ n7DŽh}{`Knffx}?yG -< SqQfi_/O"%.2: "2hFJ,.-ļ>DJx57rܟ{"%#㯥~:]EA>S3{%r= tD+ގQƹߵ e)W3j|~zF {m]ޔLtRsA8Nib@y aq +oc;j~EЪ)s̾;.;rTejiK/df5A|{S/ )Sc\^ȟmp+#vL17~k d# +]LeVߐGoo٥\k 9Mՙ= 0)xf +0v7ϱ9 àE(O&k{ǛHFſꇼw +R^q&AԛhF8N&{oi(^[ol W%'5,.V!0&u%ˎKxZ4pX:;[4+ @c +ߌ +}s$)PͶ'/CզxBCxSƫE\ 'MXpͰԁ C q6 2T1e|jԲH*} t.-"k5,h:J.X 4Z@0v)FEʫ@"jKNJrYDdcm!G~,f\HAӮhcc>SK}pkkRX>LfU8dWNb䊌b ?g~8o|R<)C쩔fz{Zy40:71;*K(z}R0Xaee͞bl[ڋPD 1^e=Ƞ)?|zH]{h `(!e `YR[ñ5pޮlưV? _Fb9B1\F4Y@E\]!6wʴ)G\$uwACRel|HJ\i,, M\bZWy߳m͏6LGNd> N78 JO9;?{/w\|)-bSF)TWx{wvӀ-mlQlr9צud)Zjgx ux`Q"#/料C01FkJ|yFb,Bᜯ-[u:1è_*hq4"R`m+A@5Y YM{j4KlLgJet< Kh8]VNk]b +}"QOgq9M}Nsl. +foCATT:,և\#=&n9[P%,0~XzXfwL!ߊѷM$v ++WfXO )׆E8jҒfIL& `hS'^Oios=pV9h(Ms &VU+"L/('u'&-U:*Җ6-y*@ ,Ѩt,MD&yOJ^.t޴&pm-ҭtGյw}ۜoK' +E0nxޕqn!Q5аn&PmLUodU/=ţ{1)K0 䳨҃,tuՆx,l:f 'YojX=o5s]^Gyl'qlOu+9T\ܺt|X +rf 0e>C2L46\ W]G,z{p?^'HX?$^{Yc&KP@ lMqqr)^T->n MRD]0ЯÏȃ&`tIQ8]ږn%7mVjMV<tNoBQ1Ǝ>?GdH0x{fl̚HPUzo Qޘ{M9X jѰ:-yxj^T/LIoȹ5z׃ZL]˖Irԙ%_/᜵p·cOM)͖@6eK4Wow+60G4zooHGQmn ۸'_˧'bҠcZWy,-8Vupt<ϞJ'~qqT84$^V`pYx{t!Q8zu$(8 y/C1;khHe&ܧY zmAy NJk¾j{RoKrb}Ԝ,GwHy\Fr-z4TpX_NV.=\<ٍܹ+6YɝQh$|g"$ʟݗgNv#Wu܉#^w,H"!8ŭ|a60r M,QT~j5äs[qZ^f5FNՖΕK4OM`t9RgX6fhGjt_-8iVX>rL@jif !QĊ& ݫӊa6d(leQoEKHNʏ Co?͸CGod-p$T!Է5UuChP2gD"#Ww: S'Jƀ4QXV;^q[s[XҁۍcTG`qler/S!+g)P(+@~n3<8T 2̞&g={JJLTV%Z@XtG^cEqSb(e*@OV̹YGݙUf( +(#tPdd4^v7f%YX^_zV<'hjN1{pFei3vub?A7W_RN:0a9> ϓswQ8hGUy}Ԟܤœbaa,Y9;3t7Ol1 Wg:#ʙ{LrK*SejǺ q c &t  x^QR*tt=1΀KlMí: +@bwЍ +!90hYﴬ8]>'P/ad|MxDsw@_ M:_S!cIFBJu9{j ~ `NLu_ p:Xh3h}s7$I"RM:^fdhL, +5ܱ,ϐ`"ABfI4D@!IdFӟ0 +wLaaͼ5gJbڳXs9t>ga= =%U#F֛(5Ga3ƼYeL Dٮ"EɊ1Y/imOU'K`&q߀X}]+ʂUc+Q0`"2uȗGYlh!V鐊tXT|1=_]iCz$o-ZŕvhW>8;JseNjbDLK-"_y,wx~8p+~cUJ$,t)e +r`XN?}eY˭NAX=vsO˗wﴸ!4.[ccRӪs08*NzgC?*03T`+??MU#W-BT7㻬}sH!V0k؛F ]xja. :$T>"X'ƙHkfXt8DÂXkW^S;&w7oLҨ$h?l?V~mVuœjd@Z5_$ %eNYZ;A-6 ;ysMT!W&*1ui5iZF%I߷:cMN+I^l^2S"˒GK3Hyϰ݁'7Bw^CxWeMiԢb*L=j~fwXl٤M@ +TTaQdroui^q^XQv36A)'1x`* +%JMqYY &038s*#sb)s4 qq:iv\d3XGuR<~wT`] e8ض)ZA> jfCeNe+" TDM>+0}@;ll-?RVPLpdY?(Xp=4 9%drzcpNu/Д~lP*Όdžٝedơ@R-ROXp7v9(Ж1ڠL*E/ZP0prnV(8ka>9('F *^ gN73Xa ~~t,a +Ð%?-æF)9: Q%2邐e &]Ɖ@&wtp)۸OM9vp&#bPOF&u{[817,F]Uz"gTY锞\oBg(u2$44^&?z \Ʉq,1z#b>GgəeGA&*B`cΆls+Ek{~AG=%2# ^BKo{ ɖwPy,ی7\AMC/[s?SzůE! sWdcM⅀˚jہ-ᦆ:iҀRN(a>+/eCqAQG_tSN[e8LG=ĸLrP8|;zb> endobj +127 0 obj << +/Ascent 514 /CapHeight 683 -/Descent -194 -/ItalicAngle -14 -/StemV 87 +/Descent 0 +/FontName /EZFILZ+CMCSC10 +/ItalicAngle 0 +/StemV 72 /XHeight 431 -/CharSet (/arrowleft/asteriskmath/minus) -/FontFile 479 0 R +/FontBBox [14 -250 1077 750] +/Flags 4 +/CharSet (/quoteright/parenleft/hyphen/one/two/four/five/six/seven/A/B/C/D/G/I/L/M/N/O/P/R/S/U/a/b/c/d/e/f/g/i/k/l/m/n/o/p/r/s/t/u/v/w/y) +/FontFile 128 0 R >> endobj -481 0 obj << -/Length1 1693 -/Length2 13827 -/Length3 0 -/Length 15520 +528 0 obj +[319 436 0 0 0 0 378 0 0 0 553 553 0 553 553 553 553 0 0 0 0 0 0 0 0 0 814 771 786 829 0 0 851 0 406 0 0 683 989 814 844 742 0 800 611 0 814 0 0 0 0 0 0 0 0 0 0 0 613 580 591 624 558 536 641 0 302 0 636 513 747 613 636 558 0 602 458 591 613 613 836 0 613 ] +endobj +527 0 obj << +/Type /Encoding +/Differences [ 0 /.notdef 39/quoteright/parenleft 41/.notdef 45/hyphen 46/.notdef 49/one/two 51/.notdef 52/four/five/six/seven 56/.notdef 65/A/B/C/D 69/.notdef 71/G 72/.notdef 73/I 74/.notdef 76/L/M/N/O/P 81/.notdef 82/R/S 84/.notdef 85/U 86/.notdef 97/a/b/c/d/e/f/g 104/.notdef 105/i 106/.notdef 107/k/l/m/n/o/p 113/.notdef 114/r/s/t/u/v/w 120/.notdef 121/y 122/.notdef] +>> endobj +125 0 obj << +/Length1 1497 +/Length2 10036 +/Length3 532 +/Length 12065 >> stream -%!PS-AdobeFont-1.1: CMTI10 1.00B -%%CreationDate: 1992 Feb 19 19:56:16 +%!PS-AdobeFont-1.1: CMBX10 1.00B +%%CreationDate: 1992 Feb 19 19:54:06 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.00B) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def -/FullName (CMTI10) readonly def +/FullName (CMBX10) readonly def /FamilyName (Computer Modern) readonly def -/Weight (Medium) readonly def -/ItalicAngle -14.04 def +/Weight (Bold) readonly def +/ItalicAngle 0 def /isFixedPitch false def end readonly def -/FontName /NYFVHV+CMTI10 def +/FontName /GSOPGM+CMBX10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for +dup 12 /fi put +dup 45 /hyphen put +dup 46 /period put +dup 48 /zero put +dup 49 /one put +dup 50 /two put +dup 51 /three put +dup 52 /four put +dup 53 /five put +dup 54 /six put +dup 55 /seven put +dup 56 /eight put dup 65 /A put dup 66 /B put dup 67 /C put @@ -6407,172 +9290,198 @@ dup 73 /I put dup 75 /K put dup 76 /L put dup 77 /M put +dup 78 /N put dup 79 /O put dup 80 /P put dup 82 /R put dup 83 /S put -dup 84 /T put dup 85 /U put -dup 86 /V put -dup 87 /W put +dup 90 /Z put dup 97 /a put dup 98 /b put dup 99 /c put -dup 58 /colon put -dup 44 /comma put dup 100 /d put dup 101 /e put -dup 56 /eight put dup 102 /f put -dup 11 /ff put -dup 12 /fi put -dup 53 /five put -dup 52 /four put dup 103 /g put -dup 104 /h put -dup 45 /hyphen put dup 105 /i put -dup 106 /j put dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put -dup 57 /nine put dup 111 /o put -dup 49 /one put dup 112 /p put -dup 40 /parenleft put -dup 41 /parenright put -dup 46 /period put -dup 113 /q put -dup 39 /quoteright put dup 114 /r put dup 115 /s put dup 116 /t put -dup 51 /three put -dup 50 /two put dup 117 /u put dup 118 /v put dup 119 /w put -dup 120 /x put -dup 121 /y put -dup 122 /z put readonly def -/FontBBox{-163 -250 1146 969}readonly def +/FontBBox{-301 -250 1164 946}readonly def currentdict end currentfile eexec -oc;j~EЪ)s̾;.;rTejiK/df5A|{S/ )Sc\^ȟmp+#vL17~k d# -]LeVߐGoo٥\k 9Mՙ= 0)xf -1kX9H!.vPN 7qjj7!6CɫTw.]ʂԬ/J1]0': fqdU24tԡ?@^g+0[ -KTB/UٝFMz7 .U{7K.=UٯI C^$O7Û-tGrz J:"ia~ -T"*^MMчff0EM -z8uwi*?rw5(*5nZ٫ -4*RX&RTdRM3m ѫ& .Pd8;]F |H!%T [-͘ޞ E|pV$MU]n11RP} -d -.{IQ7^N-+C #̲]\M؅1 -pk2 -\t,o)2TTڮw}Ҏvq `;lSgs3c-h}W9;ڤ9Ö`2 ${};;m򉅘^l1'C*~O`XUn0x|cɾ'iD%WNCەU.9R*R?nLWˆs/[趡ۆ8>H@#ٻx wf} ayBR C1|P|'r,߰INJU`DkUQe ]Am\"GmFO )2rIuW\SW,'vdy]eqXH0#~Z9|pŞPOHau`Cb鬅<=?t8!-~C0VY-aht`rxK[3,f @=]wG2C#܎d#QZ^ >~kԝ! ]lI1ēhK*Q9ALr ƢLX/҇'Ф9׫ު <5L -ؚ؞EN_4, 5o҄v%kj2֮s&grՅdm|WEOƚJ!Az 5Q{CA<>ڟr(.D}`er8S!h.ú=0 -Xi}wB.ӌTI߸=f~(Y&)GLig,`/^9 6T -S1^W6Oc׏ _`6lѫK8\C/5쾖_]PB2+#(, {j4 6 >i؏'H߿{#KGs%T{;.H!7Hm)4*@r ،9`zpә~(kE{ %dK^ 7)- mtwZऽbOӎ29lP(L5óL1D0gXhGπ-*;c-4PF-';u x3%H#e#ñ:󷐉+]2hݔ\0yT7?tm 5X7 -q|HaXY'0d JXH'MlA[l(,P9]E,Ȁv?)qs$Dk=k7r.-Y)):d ->2qXf0|B%N$ Ɨmq2俳qJyr2񘄊7\{|;q4bUػ?k$c\U؄rxyOf/,Qį1:OClѲ"z8s4lQTS@0C|Uiz9,,(C`4$I54S~ KDSl3NX dĨ5nEI1JЛc(#3!:$Icx栖4q4xaCqCokO`"Oy{AOhixR|N>ښ$z5nc6yO㣜Q-սlÐ|/8qʛeb̿`VJV[聸g0qGNt!&yZ~X!#qV!!@Tk#7lٯ ,ıoV\v\scR ϔGCk^~M'U@x2Z/?bue1cAҹ b^?Je,%ƆđL}Oҫ'𐁖 B;?޲~uz%n$ѯ&x\$~?PȦQGoOMO)f+ -C3M͖y0~4.n(j=oN2l)yQgYpO"ƥ)%{KXΖ] ƀbtDž‘뒖iZ'<8-^G5JXtdY׿.qF75WA~SW:6%Pޤ>v<}>? 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'AK?Uq{7Mi 1T&Grj[a-IR8`f8j4!m OcNB̕bťH,6"(SWv:qzNޤF7tHayva +.?:N1JnLzzҎK)ȃk90w#lx`r"(-^?9aG{ yQ0Tn]~r3тF +ӽғsU2@rA:$ D[N+6Nt* * %Dh 'ih!8'{sEƦ75#r` bT%dA|k>jvsHRC\0֛UXL՝syL8,9;~ЮqPr9 RPɔ!!% 7E&W IVWHy'AM/{ʶ!#̗0Vٚ}BokbEZ&zi€M8uf~Ut$kmdāKx@b^*~XNQrA@/4;5чA(ғMKvk*7SӕK)̥|P$-Ŕ:u-N=p&qNG~G=~t\Tȅ iok/,v͆.?}`+jf̘aSk~YLP0ƿઍN5y)xS- 4!>6z4?kd@lvx`\%pn)K>?ifyuÅnGXLPGk Ьn_8'MȐ&K "h?ˉS,>9ssDc= c j{Ǻj`\oK\170Oz.W;9ʊR}_Ji+T}nr}!;tKȗ:h7Qz.ȁCf˰jM^Jڕd 4Y8h%dF%#؛`Ui\ʒi`5zCr `n:4I]AD则fjx>}Ё>io<$8I+L2pJ5(]X]%֝Zm ?JyOn~{| +s7@#tlc_ fߵ.r|'Ewuȧ:]坬a= ?5m@Ze~O86J XGZ|ֱ\- +&> Ɠ"*S8*|2(iHF876(NeKUjI׆X흼be a1WMdE\R&b4a#kMJ}]'GͥfMo[xYG R)n5SU~22qi$fg+SZ myP`/iv CA̹acmeU8Rc?˜#zLtJ][iɪs񬥫磇۸A{1Zյ07Enӈr2+X`c%aؔsg,cM黙T1дQE`0c+>Lp|\ٖპosu<0Q!W.`4 ғu6bBCIJVx+iEV;fkS/ZkFQ'vG +L"GkO^꓉LlΜT;.Q"6V|Vyro- G-Ma{b?|i/Ն!gy!٧ȯ) ~QL2JG} ԢucQ̽ ާD/+'c *s%_^4fez4J24W5xi U5Bߙn h BW%55IX^xZ4͢*ugO噧Xk/*PB +UP5ѕBջb2&ߏdHYU$Mwn Qm63v뿮PvAʼn Nc g ~FI[52ȤoM {vWy] l +hjwCv)b0/0S7Șf4Qd"dE "xVOG6K^VcZdMSSQsRv7@0R;,:UNn T;kD:l=f5) NHR#.n|2{Y:p5~C֛hE(wJ6E? +NE9 RDvԃVƣEDsr)4kU +7U ^f2i8ZV&Na&7l}Ԣ RBx1U|T6&76J +(Nz]͊ف2E1,!$ӳŭBcp|F\Ʒ`SO:,-k $~iN҂ߪLDɸ/oxckeǵ`EKfu;Pxԟ2Iob>5:UJ1:n~+ +<עo4ֹGLYZLOtT.@U#[,w䛝Ea괲 P +`N;Ji<V:J5@5 sOKgL)_L$ !k U?rwh>j#[H"d:0_[tg sb9mM4eɢ*6Q3#W@ߜ45Q?|/Z#h +f^3#"j科*$R#qN:#ǭ[gSRXǫ`3t^^2Q]]t]3ݓt vl̑nFלPJlE@_Vk0`˸ EvnUK(+\:yugtվ$V7eb lӉ)69c^sJf誎mW:]{Drum8I9gL$D)i}PUɒ j_WK#j2ga:穧%R?ʌi7 +\K8DzUYbia/0"oxQ@3xoʵѢϕNzF5 7 gOGO𦡗Q8:aScYawbQJ,SW+6>>8OƏBu +yFSO_gJk%cxEd'N(;dS􇥂",9jCQ%E3Ϲa{iwA|EуCׇNbB6eyC^7Vq:"dlFTB|;lb6cAR/%4 ZF}P6ه=^U{m(g,gI %Llc,YLtc5Mȭϼ cXD2 +G IEzZ; bHgЌ&EikPO z2l3=gO{|D, ta1Pp2+)Af*0*m`;I%v/9DkR﵅>x2|жئ~(ҦeTm)}aL58KX p3)Br WSxiiggo + [ť{D!a'kC'/hԱtbƶi2 K\pR" +25e }`=aH5{50000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +cleartomark endstream endobj -482 0 obj << -/Type /FontDescriptor -/FontName /NYFVHV+CMTI10 -/Flags 4 -/FontBBox [-163 -250 1146 969] +126 0 obj << +/Type /Font +/Subtype /Type1 +/Encoding 529 0 R +/FirstChar 12 +/LastChar 119 +/Widths 530 0 R +/BaseFont /GSOPGM+CMBX10 +/FontDescriptor 124 0 R +>> endobj +124 0 obj << /Ascent 694 -/CapHeight 683 +/CapHeight 686 /Descent -194 -/ItalicAngle -14 -/StemV 68 -/XHeight 431 -/CharSet (/A/B/C/D/E/F/G/H/I/K/L/M/O/P/R/S/T/U/V/W/a/b/c/colon/comma/d/e/eight/f/ff/fi/five/four/g/h/hyphen/i/j/k/l/m/n/nine/o/one/p/parenleft/parenright/period/q/quoteright/r/s/t/three/two/u/v/w/x/y/z) -/FontFile 481 0 R +/FontName /GSOPGM+CMBX10 +/ItalicAngle 0 +/StemV 114 +/XHeight 444 +/FontBBox [-301 -250 1164 946] +/Flags 4 +/CharSet (/fi/hyphen/period/zero/one/two/three/four/five/six/seven/eight/A/B/C/D/E/F/G/H/I/K/L/M/N/O/P/R/S/U/Z/a/b/c/d/e/f/g/i/k/l/m/n/o/p/r/s/t/u/v/w) +/FontFile 125 0 R >> endobj -483 0 obj << -/Length1 1144 -/Length2 6097 -/Length3 0 -/Length 7241 +530 0 obj +[639 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 383 319 0 575 575 575 575 575 575 575 575 575 0 0 0 0 0 0 0 0 869 818 831 882 756 724 904 900 436 0 901 692 1092 900 864 786 0 862 639 0 885 0 0 0 0 703 0 0 0 0 0 0 559 639 511 639 527 351 575 0 319 0 607 319 958 639 575 639 0 474 454 447 639 607 831 ] +endobj +529 0 obj << +/Type /Encoding +/Differences [ 0 /.notdef 12/fi 13/.notdef 45/hyphen/period 47/.notdef 48/zero/one/two/three/four/five/six/seven/eight 57/.notdef 65/A/B/C/D/E/F/G/H/I 74/.notdef 75/K/L/M/N/O/P 81/.notdef 82/R/S 84/.notdef 85/U 86/.notdef 90/Z 91/.notdef 97/a/b/c/d/e/f/g 104/.notdef 105/i 106/.notdef 107/k/l/m/n/o/p 113/.notdef 114/r/s/t/u/v/w 120/.notdef] +>> endobj +122 0 obj << +/Length1 2159 +/Length2 15471 +/Length3 532 +/Length 18162 >> stream -%!PS-AdobeFont-1.1: CMTI12 1.0 -%%CreationDate: 1991 Aug 18 21:06:53 +%!PS-AdobeFont-1.1: CMR10 1.00B +%%CreationDate: 1992 Feb 19 19:54:52 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin -/version (1.0) readonly def +/version (1.00B) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def -/FullName (CMTI12) readonly def +/FullName (CMR10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def -/ItalicAngle -14.04 def +/ItalicAngle 0 def /isFixedPitch false def end readonly def -/FontName /BABWJL+CMTI12 def +/FontName /QJHUQS+CMR10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for +dup 11 /ff put +dup 12 /fi put +dup 13 /fl put +dup 14 /ffi put +dup 20 /caron put +dup 33 /exclam put +dup 34 /quotedblright put +dup 39 /quoteright put +dup 40 /parenleft put +dup 41 /parenright put +dup 43 /plus put +dup 44 /comma put +dup 45 /hyphen put +dup 46 /period put +dup 47 /slash put +dup 48 /zero put +dup 49 /one put +dup 50 /two put +dup 51 /three put +dup 52 /four put +dup 53 /five put +dup 54 /six put +dup 55 /seven put +dup 56 /eight put +dup 57 /nine put +dup 58 /colon put +dup 59 /semicolon put +dup 61 /equal put +dup 63 /question put dup 65 /A put dup 66 /B put +dup 67 /C put dup 68 /D put +dup 69 /E put +dup 70 /F put +dup 71 /G put +dup 72 /H put +dup 73 /I put +dup 74 /J put +dup 75 /K put dup 76 /L put dup 77 /M put +dup 78 /N put +dup 79 /O put dup 80 /P put +dup 82 /R put dup 83 /S put +dup 84 /T put +dup 85 /U put +dup 86 /V put +dup 87 /W put +dup 88 /X put +dup 89 /Y put +dup 91 /bracketleft put +dup 92 /quotedblleft put +dup 93 /bracketright put +dup 96 /quoteleft put dup 97 /a put dup 98 /b put dup 99 /c put @@ -6581,673 +9490,711 @@ dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put -dup 45 /hyphen put dup 105 /i put +dup 106 /j put dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put +dup 113 /q put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 118 /v put +dup 119 /w put +dup 120 /x put +dup 121 /y put +dup 122 /z put +dup 123 /endash put +dup 124 /emdash put +dup 126 /tilde put +dup 127 /dieresis put readonly def -/FontBBox{-36 -251 1103 750}readonly def +/FontBBox{-251 -250 1009 969}readonly def currentdict end currentfile eexec -oc;j~EЪ)s̾;.;rTejiK/df5A|{S/ )Sc\^ȟmp+#vL17~k d# -]LeVߐGoo٥\k 9M֨[G(aܘ|RP>f}|Zx'5+jۊz3p3`/gtJ8)&ho%̸{sCVah~I"Y0'Ӷg; 怦#Ӝոgl;O6jyg -H@n΅ -l2qŽwޗMe]}Aq}_oyѣg+JIua;5m˺ڳŞppX!cs|:J#5պ )jYN,~[Y\! $a7{_-l Ɍ@ec!Eo-}гR#w9O,;rЮm;xx]JTeSZ_hT.iQZZ,lѽf,ΡY00 WmNҲ@*W.2Pz%(~|T[Y7Y@6RIHzu 9x@MˈY?lz"V -ywNl|ʋK}amݥmХ4E)?w2?!5eo}83,M㪉8/qJ#T]gJj\a헧3Uxs 2dąO6MYy,}2Cڵ?|\,g'm:ng7X nsVJ.жڟHt>y#d z^J-?Ǹ^~:m- GVόlqv睻OVL6H)Z}k%/{M[Ʈ,޳Jh6L;9bJ2(#n98݂gPOHAտg4ԌJm7R.I7-a -7^8A[Q%[&?y.6=#1LpޗUbo80ΈzMZLw dGIc2qx6uۓ߈wQ?Jc9ݏȳ6!t[jx -j4q!nX;T:4(yslA$5Yc;UT~=*I>7!QݵۙS4 7 0*:9.0Ҋ;֌ZF0._= -\Ho8shd(5ihSmTUuÙ*};Z&3~G|xG뇊;V|Hy*ޟ'BAnsQ${ -]d Rž^kk`_\i#k6SJ|;0 ~N;Bn6A[۹!!Ui~L-yjLaWIX!{p菕6KˮGPy@t?C,7diG+YO qK]s䉸LȁCu-wz‹5Rr;x55)aX_o@(>b`ZY*0G)b?j>`D!M/szgVڒnm㐻A":\^FjE8fAZ$/!JpQ|mz׽~`; R/cy_o.#Z%._ "~ސGz3S{kU2di0PgWLR9t)g_[HRF7$UJnfR:wL嫞<#$iRi~:&Jz}LDEq[+'8E$u|@cEN//  g*]̛iNz>[Zf\HH[# ^ڇsf)lKcj^͜Ÿ+Z|1ʍX҄]kB!@$r61/@b̹]U+"C yJ܆^xZIhs GՍjwD0HX/qwèԨц!dv/VzaaA256E>y|t.Yny )Ig/!fcv.Ͽ[KTiZ؎f+N/Gú&UPd K^ ZD78&$>4lf@8} R/oYT/rٲk&('o1i${Xdd G -C糣ZG&۫ތ=Hx7@Faק#K^ĬdԽ!i##{U,. QNSOW~:%d^]X$.hsq*vo $fp7vÙmÁbLp+9'r&yg`*N k?(8jwx]Ps@vV/U.ƚƬOkˎ(s-0|!+LfE4egrZHc't 4'e̎ DKMd~Z0L";g/# )a JKdO*Т:Xv O.ucbʓQ?+QڗUZhC'g)TjoA;oT.:¡w0MD|w9afV8J5 -0dY89 I">/񑷁31X5hkPT) |g#іRVH8϶iƓOE/`Q# l1Lj/1@|v皢+H1}"?M_ -$vJ -J^AW8^ÚF+%#X,ͣ'3^K`(vqi{>rKn@>}rpM:YN]X`2P1 D_DwSe+31|uLaq:Nʒ\}¨\4"#ZÉ~h) po:hO/wػ|?2SJ,ڃdI"o@hY~g4!F7<xZ>Dirgڒ#+`"wY; Q-76gfsG;m8& >VZP-*Cfgs# ?HWWEe af<'>Svjဟ-wDgZR1["UNs};fZjU$ziP&:,.G4{NuhM'ɇ -wQ q~G5 n =ؔsHJ,=)iGL;y ?zN3 -Xӷ\C53edBp5ٴ&n6C f|ΙV܋3+w6@YHDOb 1הÞF>33p˰ßaH.XۦtcYUERjdm-C*ϔA6vSX*1QP1Sf*:b4\Γgvߋ~et ) 5)|N,lO+,2q=hS)-8-SF|B^VM[!y*0)|[^bZt.tt8mDFgPBl}'ٚ٩?' 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J"nnJ\rXW m L _,Cx_ |2,)TL!p|GPC~SNovWLaؔm+v84 ˓ΡΚlޗ%2[ÐmF9N0`1JHٸ baoA"0neӨV)&7gq3at娽vK cdf&hw!$w5*URố_a!u/_\m7`=H"=[h z>h}d?VΧ̿7 I]ys[~͖\p z7NHǗNN.OnܫE&$)ceޮَB#8I2@@&3Q(wkюhךr'?b}=uLʀnʠ/[ZU,U5j=<ң25j_ #RayM&pRF4 =;/4.ifmOP\s$ +ђN׍^Ƭ.a(rv!YDձB~(5sMXUBzB% ژ?`K (T!FzTtܶq\2E66mOň.՛K0-'ag2oF}%Q&h)5zPT/ |>XZ䰟jX 5@L>ќY=n;ʹ/;x$_? u ׺崅ϝ2 (ų 1WY[OCg ;/`jy^?ha1F+8W7ۻ'9KQۑ]}֕+(V&CLS8~? !&B=,ŗ##ZYGO{OHOjABK uA\F N~{MJM9Rz@AZеl5)*- +wvOae f";R}lYͳWyW~ƬT8$߳T5gkRqEYQϿ;V/{BΩz m|}bz~TF鶝~,w,dSOh8 +C"jZbc+R+_KEaټ3RrqBeL7 1xf|8,ѣOu7Ir{.T2s3, OR=YYP -O] P'^CJTݢ~OjK2 QTxL n'u Z 2o."tfBjЦT%(1. w"8Q+ 7)Hg5=AkȖ>@ /RŎ?l>*<&6zI$qi?/p&XMˉo(WᧂS3QO[0T+2OaJ%D8r+ːufFw\m 5.g$3?M{di"Ʒˏ!^\zB7$jwB,mO$t.0+I;D>1ˢN @_gfD$E115ּī.*HLk*z1! +Ol..&"ԼAt7*=WJF6#LhFY"I]Aqts]XlnI=Ojž۴9z]K'dfj 6 2-VX0A^U5h +4Mk/k0/9zU_l)Ф(gnSDAB:Vq |d96v1F:$Ү?9&ޏZ{K/kO+kVD!ߠKp`u@utv]j4qj|f6x?b VOL?TVyeXfkޑeR +)9 ѩb!VT3V)?,Qoencյ/uݳT:c-o6Q<Q[%^E:&Xr9rGSX`r HrmL黳ƌnIƮ9+cc:3 +f{'#tDy&J.#sOḨX p4u"[tKx(OCN0|{p$C}aμ9eȧʉ !;uQQ0%$ /b+gJq3nk[@[ʝ8- }2}aN䷬A!eCuVYJohwpnS[#hk㤜QYo Ėc+: P{,靾<31K; +:~Ip+XRhdJcQ|0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +cleartomark endstream endobj -484 0 obj << -/Type /FontDescriptor -/FontName /BABWJL+CMTI12 -/Flags 4 -/FontBBox [-36 -251 1103 750] +123 0 obj << +/Type /Font +/Subtype /Type1 +/Encoding 531 0 R +/FirstChar 11 +/LastChar 127 +/Widths 532 0 R +/BaseFont /QJHUQS+CMR10 +/FontDescriptor 121 0 R +>> endobj +121 0 obj << /Ascent 694 /CapHeight 683 /Descent -194 -/ItalicAngle -14 -/StemV 63 +/FontName /QJHUQS+CMR10 +/ItalicAngle 0 +/StemV 69 /XHeight 431 -/CharSet (/A/B/D/L/M/P/S/a/b/c/d/e/f/g/h/hyphen/i/k/l/m/n/o/p/r/s/t/u/v) -/FontFile 483 0 R +/FontBBox [-251 -250 1009 969] +/Flags 4 +/CharSet (/ff/fi/fl/ffi/caron/exclam/quotedblright/quoteright/parenleft/parenright/plus/comma/hyphen/period/slash/zero/one/two/three/four/five/six/seven/eight/nine/colon/semicolon/equal/question/A/B/C/D/E/F/G/H/I/J/K/L/M/N/O/P/R/S/T/U/V/W/X/Y/bracketleft/quotedblleft/bracketright/quoteleft/a/b/c/d/e/f/g/h/i/j/k/l/m/n/o/p/q/r/s/t/u/v/w/x/y/z/endash/emdash/tilde/dieresis) +/FontFile 122 0 R >> endobj -485 0 obj << -/Length1 1577 -/Length2 9235 -/Length3 0 -/Length 10812 +532 0 obj +[583 556 556 833 0 0 0 0 0 500 0 0 0 0 0 0 0 0 0 0 0 0 278 500 0 0 0 0 278 389 389 0 778 278 333 278 500 500 500 500 500 500 500 500 500 500 500 278 278 0 778 0 472 0 750 708 722 764 681 653 785 750 361 514 778 625 917 750 778 681 0 736 556 722 750 750 1028 750 750 0 278 500 278 0 0 278 500 556 444 556 444 306 500 556 278 306 528 278 833 556 500 556 528 392 394 389 556 528 722 528 528 444 500 1000 0 500 500 ] +endobj +531 0 obj << +/Type /Encoding +/Differences [ 0 /.notdef 11/ff/fi/fl/ffi 15/.notdef 20/caron 21/.notdef 33/exclam/quotedblright 35/.notdef 39/quoteright/parenleft/parenright 42/.notdef 43/plus/comma/hyphen/period/slash/zero/one/two/three/four/five/six/seven/eight/nine/colon/semicolon 60/.notdef 61/equal 62/.notdef 63/question 64/.notdef 65/A/B/C/D/E/F/G/H/I/J/K/L/M/N/O/P 81/.notdef 82/R/S/T/U/V/W/X/Y 90/.notdef 91/bracketleft/quotedblleft/bracketright 94/.notdef 96/quoteleft/a/b/c/d/e/f/g/h/i/j/k/l/m/n/o/p/q/r/s/t/u/v/w/x/y/z/endash/emdash 125/.notdef 126/tilde/dieresis 128/.notdef] +>> endobj +110 0 obj << +/Length1 1353 +/Length2 7130 +/Length3 532 +/Length 9015 >> stream -%!PS-AdobeFont-1.1: CMTT10 1.00B -%%CreationDate: 1992 Apr 26 10:42:42 +%!PS-AdobeFont-1.1: CMR12 1.0 +%%CreationDate: 1991 Aug 20 16:38:05 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin -/version (1.00B) readonly def +/version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def -/FullName (CMTT10) readonly def +/FullName (CMR12) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def -/isFixedPitch true def +/isFixedPitch false def end readonly def -/FontName /UDMXHL+CMTT10 def +/FontName /OECCNS+CMR12 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for +dup 34 /quotedblright put +dup 44 /comma put +dup 45 /hyphen put +dup 46 /period put +dup 48 /zero put +dup 49 /one put +dup 50 /two put +dup 56 /eight put +dup 57 /nine put +dup 58 /colon put dup 65 /A put -dup 66 /B put dup 67 /C put -dup 68 /D put -dup 69 /E put -dup 71 /G put dup 73 /I put dup 74 /J put -dup 76 /L put -dup 77 /M put dup 78 /N put -dup 79 /O put -dup 80 /P put dup 82 /R put dup 83 /S put dup 84 /T put +dup 85 /U put +dup 86 /V put +dup 92 /quotedblleft put dup 97 /a put -dup 42 /asterisk put -dup 98 /b put dup 99 /c put -dup 58 /colon put -dup 44 /comma put dup 100 /d put dup 101 /e put -dup 61 /equal put dup 102 /f put -dup 52 /four put dup 103 /g put -dup 104 /h put dup 105 /i put -dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put -dup 57 /nine put dup 111 /o put -dup 49 /one put dup 112 /p put -dup 40 /parenleft put -dup 41 /parenright put -dup 46 /period put -dup 39 /quoteright put dup 114 /r put dup 115 /s put -dup 47 /slash put dup 116 /t put dup 117 /u put -dup 95 /underscore put dup 118 /v put dup 119 /w put -dup 120 /x put dup 121 /y put -dup 122 /z put -dup 48 /zero put readonly def -/FontBBox{-4 -235 731 800}readonly def +/FontBBox{-34 -251 988 750}readonly def currentdict end currentfile eexec -oc;j~EЪ*BgNӽ ؑlKq*޲Xws|QFqv`zXMyp"5O˩YŝP(DT![v67XFlU&3!Rq4wσ~j+ou_c2Bطj=-8\Dg݌] /%bԺnٻڿSy b*L(9sWF R:EMksH02E?Oe+Z'zK΃оif <,EDNZ|J#BW3ϗMp(%5%~(5Bk}Aj c'S-8*!iy$G.w g J0nr -;଍ Kr^ox7p4= CyO#y[49'n*xx/J}o֯p6Oޏe}hà1W6Ϋ%(i]Ii -텴""b3=5sJzbJ>[Wе H 2"ێ0Oy9.t:=$EǪ ]to`% -'EKKfrRK^y`vO^v~ZwR iNMW3HSp+T,q!s0(ع;U+3"J8q3dJ`77+IuؿhH<=!'T́2.r% -v y*S\L$r)Xm!UgWyD3y#<+iYPo+e=a.q%B )z=v"1); t Zğ7Lt.q A;0Y!OX w~e!KqJ -o۰;Z8g&.,0(Url4$O̤cm-$SZE"0xX5gpq}R9bpIqUbNZBE 'Lz{':`e`B4c7,!P{b}z7Ka8ᵁY:Oy NA!ﵗmS8T[:C=dFn98VP[AkSJXѓv'^v[Fh ~u~ѯ2iϣPK9?3=ڗLɀ $jcg yJN.מ*EATbS`">G<],"h "/ٵ5$L+wCX6OC3wwkfԒA!X8;ls Rj+c3lu.x *@qjF.;,S/'59;x;Δ `WA>Ieh?uz2]h|4(I#~'L̵<(<֝êX_ UŨsf'?q4o2/" F ќ@ĀkMf.K.VfF]#NڜS_]gloյRG/Ks-꟔ Zc"t[~gdlv0=д,jDxD 5+FNw~[IiҪF띃oh3jtFo5BN(`r= W@Q2čA;vG^]cr`-s,U<݋FMڍo)quX qå[c%9LadA} MaPj -s:N2*!W 7VtQ԰9EK׼l@PV a-At·^+3 L tX@d>*@sdzG7:ss 8*+C=k==f\Ul|3?в06,3wÕ$(fs}*ZU.'WgnCl ܀ g A*Qo@؀NTщ[iBϞXQҖ9%EB]v]|huN[]] qוn')?M޿']I-XNfBـ7n%4Ů:(D@y7ULmif%7⾉ul{Hȧ+DOj -ztKJnqT㮍+u"\{θ(Rw]lӨyH_=g=p[.rb(t~ -𒎺xwwoXG睮ļJ#dΏſ1hPx-f"h.ǞE(5{@aJpʯ,Xn5z6ÍroT}I=ҍI:ʙԴP]ֽS'30\x;MQVg -DdغiX5$`DG"g nC.3{ u#LaLrREeqtnK(tqX̼|bŶ|=jJWN!|]i{*Vq0F\L)вYI߮(6dgOy:8,g0E=T˷uGO{2ݢ}z-&=Fۘ{KNM\u"2O邼i\UT̛ZF•wd@5k{H[)QJY4Fŗ -fed#A}}/QJxUF{lG -r/Ywc Q/+:[smNȴсТAjf*җn5Ш|]I%̞ɚҧEi{eB1rB`Bc SM<? 1)Smس *VB@Ti>ɓHS+KrhDփ(9ĭȎKge+Jz众̏``&/v5yc~A,1X*醃e@AZ-,- }G 1rhE> -ԊX5;bn~vAqEqMھ+fQp۫sG 歧Lh{Dlw0džR7#K?7ӵ8X;JGHB5A?S{tU/{-"'LL) yeFW%v>u'}ˊ@#bf?5kIfNv"@'gG}R,">l*!U=oט֐qA-?٠ɚcqs ?y|ʱ `ț%[^dw-U9}ö#|zjxji)p-iPdT0<%iihcX'R\g<+ĴU;Qy@n܀ik]\zeEԵ,*[ckJ/yo_L\>\_c7`Sb4`߰kC;)*μ ڧLHWbe ƈTOw/j?8SLֶ1PyszUxìJ WA)=IT1H+vP%9݁Zi -YysK4w #gPւ0hdVE~ͩnIrxrW GeT,Z/E/,]8!GD!Y>("߹*,&E ?bMI@7,"g56V1`cuCg=ʸՃUZNvh$܂:̦/l gokv($daOCZcؒynlũDy8>>,u]g9նD K ~۹I@$WDhmƂwO110:K;`eb& -%ȅ~ASд]I6ET֧݅4~uQ!$٫t]3>-ݖՀWɠmfu.č z<N{턷=- -#2&}b.*hJևGs~D$'}'bDVSN< \[ G7sP=V9@YbgCX{0XEPڼ_51̮GV\!h=>uO6 +䬦f[^:ө  H}vu4!Y'A(,F;jxBN]vuk86k)$yqJ^{hAڡjT_w[#:jک&eFi#ֽQRN`̃#䱁 hؽ*Vh$o5U0ߟ $ҎǓ9N+$wa \sG5#)x+tZvuvBxCg?40 Umnl8D~~0![AUM K^Jch[ł?,y& PFq4$o$ɰx#(.CPЉ,pznc($-[tΰ_ o#Dcg_(x6Ao:^LxGs0,x9ʦ(_򖯩`=LSgLviiaJݨZs]mS^Π:SbΞϦnhxtl761lFmty̙7+$MEӣ`T|C(%uCDeTxeεJ 3DWf%Rܦ˗-4s*/$oྋiz `PDts誜T/pXJP[2I,PȫuΕeP㎌1IBnT!1Rp tcIMsn N<'7+T B*IWNQLd_bG߀Y/o6vެ -@QBLh~r\yȢ9wПd:5 磎f -p5Ywu_ B#hƸ@TTs_Z~RGq fuMY+ZޜYz¸fcsFV[͞/.J?R ͙AB˝lDd1l٬ -!ѡ^[̓g-z֗cv_}ws -÷Z_lxe0[f WDZM_I,G~mncCMfUGd+%6W8^DԦRą>JQEd~@%5 Yi$K"٣ӈwՇ80j(o{6-NZIU"Yم#,xsZ;ƮRS1`ph]^k^^?DQ<(6Ү{+uj~:}+yD؜#mnVcs%Q:.h '7>S J+qI< 0dO*ur04١v1?K\aL2u+*ʥKIx٦ UBx6\y$:Қo9F(R2PA oEPn+̣1O^@;mͰ]0;-\p{9rr=>۔afaR]!iz,*%N2+0J}Xf]#>Gl2jIEA.$np@K0GR({+ +oc;j~EЪ*BgNӽ ؑlKq*޲Xws|QFqv`zXMyp"5O˩YŝP(DT![v67XFlU&3!Rq4wσ~j+ou\@[6]nhmlhaH+4/?3&n=a6E#|~.ԅˠLw2.槝sNY ڻ.,VnNX3|裠k(QIOs m;fߖC1}_a Io#0wݙ\P,f *bG3Z2کP8L3r[vnc_Eh~g9|M) }YaѕH|1m![AzXpPNCU7Uֲ7ΖTgx_hyW^]W}s_Zfs@dYr ȟsy&vJx)ݱ~Kq +45hL#q:4pP?g |GJSn^i26M Ęz0. v31껰xCj 7}0a `~iEfÎ}O>&*gϿ60CL͘sc·^X0IF +3yP.wP=vH?tx??jKvcJ ފO(WfnYc+ՈuMWkSMpy2La }gH,HA ngVU4NN7z3=ʿM1(2iznl7 J[7һDH]WUMi)hiwuPJv+]/XNkn|´?4ҫf kE{'ǺW1 os!w#v. +RGgkx0S"MB$0kSlk6C)R`+&gljᑢ_5s$ U$;|Q|nÜ2 @%ړqP c Tޢrocx0sF]ATHAf#x%,g&c#j =Y9l%J֘7@E} +uAOE()쐭۹i>ʹvΌ{#@{4Ek+ qf_ܐ7e >.Qi:r΂Yg? 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All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. 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