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1 <TeXmacs|2.1.1> 2 3 <style|<tuple|tmdoc|english|old-spacing|old-dots|old-lengths>> 4 5 <\body> 6 <tmdoc-title|The <name|Giac> system> 7 8 <hlink|<name|Giac>|http://www-fourier.ujf-grenoble.fr/~parisse/giac.html> 9 Is A Computer algebra system. The system has been designed by <name|Bernard 10 Parisse> and is under active development. It is a general-purpose 11 computation kernel written in <abbr|C++> with the following features. 12 13 <\description-dash> 14 <item*|Algebra>Arbitrary precision integers, integer and polynomial 15 arithmetic, Gröbner bases, simplification, equation solver, partial 16 fraction decomposition, linear algebra (vectors, matrices, row reduction 17 to echelon form, eigenvalues and eigenvectors), permutations, 18 combinatorial analysis, computing in <math|\<bbb-Z\>/p*\<bbb-Z\>> and 19 <math|\<bbb-Z\>/p*\<bbb-Z\><around*|[|x|]>> 20 21 <item*|Calculus>Derivatives, integration, limits, series expansion, 22 vector calculus, calculus of variations, implicit differentiation, curve 23 interpolation, differential equations, special functions 24 25 <item*|<abbr|2D> and <abbr|3D> plotting>Function graphs, surfaces, 26 plotting implicit curves, plotting the solution of a system of 27 inequalities, polar and parametric plots, scatter and line plots, bar 28 plots, pie charts, histograms 29 30 <item*|<abbr|2D> and <abbr|3D> geometry>Points, segments, lines, 31 triangles, polygons, circles, conics, parametric curves, curve 32 intersection, tangents, planes, surfaces 33 34 <item*|Probability and statistics>Probability distributions, random 35 variables, efficient sampling, maximum-likelihood fitting, statistical 36 tests, kernel density estimation 37 38 <item*|Signal processing and audio tools>Convolution, (auto)correlation, 39 continuous/fast Fourier transform, Fourier series, filtering, windowing, 40 loading, creating and saving audio clips, audio playback, resampling, 41 noise removal, waveform plotting, spectrum plotting 42 43 <item*|Optimization>Mixed integer linear programming, finding local and 44 global extrema, nonlinear programming, transportation problem 45 46 <item*|Graph theory>Creating (random) graphs and digraphs, operations on 47 graphs, modifying graphs, importing and exporting graphs to 48 <with|font-family|ss|dot> file format, examining properties of graphs, 49 traversing graphs, vertex and edge coloring, graph isomorphism, graph 50 drawing 51 52 <item*|Programming>Functions, local variables, conditionals, loops, 53 choice of syntax (C-like, Python, Maple, Mupad, <abbr|TI89>) 54 55 <item*|Syntax compatibility with other systems>Maple compatibility, MuPAD 56 compatibility, Python compatibility, MathML export (content and 57 presentation), <LaTeX> export 58 </description-dash> 59 60 <name|Giac> output is rendered in <TeXmacs> from its Scheme tree 61 representation, which results in semantically correct formulas which can be 62 copied back to <name|Giac>. Interactive plotting and mathematical input are 63 supported as well. 64 65 <paragraph|A note on session plots.>Any interactive <name|Giac> figure can 66 be automatically embedded into the <TeXmacs> document by pressing \POK\Q. 67 However, the PostScript conversion requires <scm|eps2eps> script to be 68 available in PATH, which is resolved by installing Ghostscript. In 69 <abbr|MS> Windows, paths to <scm|bin> and <scm|lib> folders in the 70 Ghostscript installation directory (e.g.<nbsp><scm|C:\\Program 71 Files\\gs\\gs9.53.3\\bin> and also <scm|lib>) must be manually added to the 72 PATH variable after installation (type <verbatim|env> in the Start menu to 73 edit environment variables). 74 75 <tmdoc-copyright|1998\U2002|Joris van der Hoeven, 2021 by Luka Marohni¢> 76 77 <tmdoc-license|Permission is granted to copy, distribute and/or modify this 78 document under the terms of the GNU Free Documentation License, Version 1.1 79 or any later version published by the Free Software Foundation; with no 80 Invariant Sections, with no Front-Cover Texts, and with no Back-Cover 81 Texts. A copy of the license is included in the section entitled "GNU Free 82 Documentation License".> 83 </body> 84 85 <initial|<\collection> 86 </collection>>