One Hat Cyber Team
Your IP :
216.73.216.216
Server IP :
194.44.31.54
Server :
Linux zen.imath.kiev.ua 4.18.0-553.77.1.el8_10.x86_64 #1 SMP Fri Oct 3 14:30:23 UTC 2025 x86_64
Server Software :
Apache/2.4.37 (Rocky Linux) OpenSSL/1.1.1k
PHP Version :
5.6.40
Buat File
|
Buat Folder
Eksekusi
Dir :
~
/
usr
/
share
/
doc
/
Macaulay2
/
PHCpack
/
html
/
View File Name :
toc.html
<!DOCTYPE html> <html lang="en"> <head> <title>PHCpack : Table of Contents</title> <meta content="text/html; charset=utf-8" http-equiv="Content-Type"> <link type="text/css" rel="stylesheet" href="../../../../Macaulay2/Style/doc.css"> <link rel="stylesheet" href="../../../../Macaulay2/Style/katex/katex.min.css"> <script defer="defer" src="../../../../Macaulay2/Style/katex/katex.min.js"></script> <script defer="defer" src="../../../../Macaulay2/Style/katex/contrib/auto-render.min.js"></script> <script> var macros = { "\\break": "\\\\", "\\ZZ": "\\mathbb{Z}", "\\NN": "\\mathbb{N}", "\\QQ": "\\mathbb{Q}", "\\RR": "\\mathbb{R}", "\\CC": "\\mathbb{C}", "\\PP": "\\mathbb{P}" }, delimiters = [ { left: "$$", right: "$$", display: true}, { left: "\\[", right: "\\]", display: true}, { left: "$", right: "$", display: false}, { left: "\\(", right: "\\)", display: false} ], ignoredTags = [ "kbd", "var", "samp", "script", "noscript", "style", "textarea", "pre", "code", "option" ]; document.addEventListener("DOMContentLoaded", function() { renderMathInElement(document.body, { delimiters: delimiters, macros: macros, ignoredTags: ignoredTags, trust: true }); }); </script> <style>.katex { font-size: 1em; }</style> <script defer="defer" src="../../../../Macaulay2/Style/katex/contrib/copy-tex.min.js"></script> <script defer="defer" src="../../../../Macaulay2/Style/katex/contrib/render-a11y-string.min.js"></script> <script src="../../../../Macaulay2/Style/prism.js"></script> <script>var current_version = '1.25.06';</script> <script src="../../../../Macaulay2/Style/version-select.js"></script> <link type="image/x-icon" rel="icon" href="../../../../Macaulay2/Style/icon.gif"> </head> <body> <div id="buttons"> <div> <a href="https://macaulay2.com/">Macaulay2</a> <span id="version-select-container"></span> » <a title="Macaulay2 documentation" href="../../Macaulay2Doc/html/index.html">Documentation </a> <br><a href="../../Macaulay2Doc/html/_packages_spprovided_spwith_sp__Macaulay2.html">Packages</a> » <span><a title="a package for Polynomial Homotopy Continuation" href="index.html">PHCpack</a> :: <a href="toc.html">Table of Contents</a></span> </div> <div class="right"> <form method="get" action="https://www.google.com/search"> <input placeholder="Search" type="text" name="q" value=""> <input type="hidden" name="q" value="site:macaulay2.com/doc"> </form> next | previous | forward | backward | up | <a href="master.html">index</a> | <a href="toc.html">toc</a> </div> </div> <hr> <h1>PHCpack : Table of Contents</h1> <ul> <li><span><a title="a package for Polynomial Homotopy Continuation" href="index.html">PHCpack</a> -- a package for Polynomial Homotopy Continuation</span></li> <li><span><a title="runs a cascade of homotopies to get witness sets for the variety" href="_cascade.html">cascade</a> -- runs a cascade of homotopies to get witness sets for the variety</span></li> <li><span><a title="Option to specify the dimension to begin searching for positive dimensional components" href="_cascade_lp..._cm__Start__Dimension_eq_gt..._rp.html">cascade(...,StartDimension=>...)</a> -- Option to specify the dimension to begin searching for positive dimensional components</span></li> <li><span><a title="option to specify whether additional output is wanted" href="_cascade_lp..._cm__Verbose_eq_gt..._rp.html">cascade(...,Verbose=>...)</a> -- option to specify whether additional output is wanted</span></li> <li><span><a title="flag to switch to double double or quad double precision" href="_computing__Precision.html">computingPrecision</a> -- flag to switch to double double or quad double precision</span></li> <li><span><a title="constructs an embedding of a polynomial system" href="_construct__Embedding.html">constructEmbedding</a> -- constructs an embedding of a polynomial system</span></li> <li><span><a title="option to specify whether additional output is wanted" href="_construct__Embedding_lp..._cm__Verbose_eq_gt..._rp.html">constructEmbedding(...,Verbose=>...)</a> -- option to specify whether additional output is wanted</span></li> <li><span><a title="applies monodromy to factor a witness set into irreducible components" href="_factor__Witness__Set.html">factorWitnessSet</a> -- applies monodromy to factor a witness set into irreducible components</span></li> <li><span><a title="option to specify whether additional output is wanted" href="_factor__Witness__Set_lp..._cm__Verbose_eq_gt..._rp.html">factorWitnessSet(...,Verbose=>...)</a> -- option to specify whether additional output is wanted</span></li> <li><span><a title="the constant in the gamma trick, optional input for trackPaths" href="_gamma.html">gamma</a> -- the constant in the gamma trick, optional input for trackPaths</span></li> <li><span><a title="flag to run phc -p or phc -m in interactive mode" href="_interactive.html">interactive</a> -- flag to run phc -p or phc -m in interactive mode</span></li> <li><span><a title="option of trackPaths to get all intermediate solutions on a path" href="_intermediate__Solutions.html">intermediateSolutions</a> -- option of trackPaths to get all intermediate solutions on a path</span></li> <li><span><a title="intersects a witness set by a slice" href="_intersect__Slice.html">intersectSlice</a> -- intersects a witness set by a slice</span></li> <li><span><a title="checks if coordinate has absolute value less than a given tolerance" href="_is__Coordinate__Zero.html">isCoordinateZero</a> -- checks if coordinate has absolute value less than a given tolerance</span></li> <li><span><a title="tests whether a point belongs to a solution set" href="_is__Witness__Set__Member.html">isWitnessSetMember</a> -- tests whether a point belongs to a solution set</span></li> <li><span><a title="option to specify whether additional output is wanted" href="_is__Witness__Set__Member_lp..._cm__Verbose_eq_gt..._rp.html">isWitnessSetMember(...,Verbose=>...)</a> -- option to specify whether additional output is wanted</span></li> <li><span><a title="option of trackPaths to load the settings for a reproducible rerun" href="_load__Settings__Path.html">loadSettingsPath</a> -- option of trackPaths to load the settings for a reproducible rerun</span></li> <li><span><a title="computes mixed volume of a polynomial system" href="_mixed__Volume.html">mixedVolume</a> -- computes mixed volume of a polynomial system</span></li> <li><span><a title="option to switch to the interactive mode of phc -m" href="_mixed__Volume_lp..._cminteractive_eq_gt..._rp.html">mixedVolume(...,interactive=>...)</a> -- option to switch to the interactive mode of phc -m</span></li> <li><span><a title="option to set the number of threads when solving a start system" href="_mixed__Volume_lp..._cmnum__Threads_eq_gt..._rp.html">mixedVolume(...,numThreads=>...)</a> -- option to set the number of threads when solving a start system</span></li> <li><span><a title="optional input for computation of the stable mixed volume" href="_mixed__Volume_lp..._cm__Stable__Mixed__Volume_eq_gt..._rp.html">mixedVolume(...,StableMixedVolume=>...)</a> -- optional input for computation of the stable mixed volume</span></li> <li><span><a title="optional input for computation of mixed volume by solving a random coefficient system" href="_mixed__Volume_lp..._cm__Start__System_eq_gt..._rp.html">mixedVolume(...,StartSystem=>...)</a> -- optional input for computation of mixed volume by solving a random coefficient system</span></li> <li><span><a title="option to specify whether additional output is wanted" href="_mixed__Volume_lp..._cm__Verbose_eq_gt..._rp.html">mixedVolume(...,Verbose=>...)</a> -- option to specify whether additional output is wanted</span></li> <li><span><a title="returns solutions with coordinate larger than given tolerance" href="_non__Zero__Filter.html">nonZeroFilter</a> -- returns solutions with coordinate larger than given tolerance</span></li> <li><span><a title="finds the irreducible components of the zero set of a system of polynomials" href="_numerical__Irreducible__Decomposition.html">numericalIrreducibleDecomposition</a> -- finds the irreducible components of the zero set of a system of polynomials</span></li> <li><span><a title="Option to specify the dimension to begin searching for positive dimensional components" href="_numerical__Irreducible__Decomposition_lp..._cm__Start__Dimension_eq_gt..._rp.html">numericalIrreducibleDecomposition(...,StartDimension=>...)</a> -- Option to specify the dimension to begin searching for positive dimensional components</span></li> <li><span><a title="option to specify whether additional output is wanted" href="_numerical__Irreducible__Decomposition_lp..._cm__Verbose_eq_gt..._rp.html">numericalIrreducibleDecomposition(...,Verbose=>...)</a> -- option to specify whether additional output is wanted</span></li> <li><span><a title="the number of threads in the path tracker" href="_num__Threads.html">numThreads</a> -- the number of threads in the path tracker</span></li> <li><span><a title="seed for the random number generators" href="_random__Seed.html">randomSeed</a> -- seed for the random number generators</span></li> <li><span><a title="computes a real slice for a one dimensional witness set" href="_real__Slice1__D.html">realSlice1D</a> -- computes a real slice for a one dimensional witness set</span></li> <li><span><a title="option of realSlice1D" href="_real__Slice1__D_lp..._cmsearch__Delta_eq_gt..._rp.html">realSlice1D(...,searchDelta=>...)</a> -- option of realSlice1D</span></li> <li><span><a title="option of realSlice1D" href="_real__Slice1__D_lp..._cmsearch__Npoints_eq_gt..._rp.html">realSlice1D(...,searchNpoints=>...)</a> -- option of realSlice1D</span></li> <li><span><a title="option of realSlice1D" href="_real__Slice1__D_lp..._cmsearch__Tolerance_eq_gt..._rp.html">realSlice1D(...,searchTolerance=>...)</a> -- option of realSlice1D</span></li> <li><span><a title="computes a real slice for a two dimensional witness set" href="_real__Slice2__D.html">realSlice2D</a> -- computes a real slice for a two dimensional witness set</span></li> <li><span><a title="option of realSlice2D" href="_real__Slice2__D_lp..._cmsearch__Delta_eq_gt..._rp.html">realSlice2D(...,searchDelta=>...)</a> -- option of realSlice2D</span></li> <li><span><a title="option of realSlice2D" href="_real__Slice2__D_lp..._cmsearch__Npoints_eq_gt..._rp.html">realSlice2D(...,searchNpoints=>...)</a> -- option of realSlice2D</span></li> <li><span><a title="option of realSlice2D" href="_real__Slice2__D_lp..._cmsearch__Tolerance_eq_gt..._rp.html">realSlice2D(...,searchTolerance=>...)</a> -- option of realSlice2D</span></li> <li><span><a title="refines solutions of a system by increasing working precision" href="_refine__Solutions.html">refineSolutions</a> -- refines solutions of a system by increasing working precision</span></li> <li><span><a title="option to specify whether additional output is wanted" href="_refine__Solutions_lp..._cm__Verbose_eq_gt..._rp.html">refineSolutions(...,Verbose=>...)</a> -- option to specify whether additional output is wanted</span></li> <li><span><a title="option of trackPaths to save the settings for a reproducible rerun" href="_save__Settings__Path.html">saveSettingsPath</a> -- option of trackPaths to save the settings for a reproducible rerun</span></li> <li><span><a title="option of realSlice1D" href="_search__Delta.html">searchDelta</a> -- option of realSlice1D</span></li> <li><span><a title="option of realSlice1D" href="_search__Npoints.html">searchNpoints</a> -- option of realSlice1D</span></li> <li><span><a title="option of realSlice1D" href="_search__Tolerance.html">searchTolerance</a> -- option of realSlice1D</span></li> <li><span><a title="flag to monitor the progress of the multithreaded path tracker" href="_see__Progress.html">seeProgress</a> -- flag to monitor the progress of the multithreaded path tracker</span></li> <li><span><a title="approximates solutions to a rational system of equations" href="_solve__Rational__System.html">solveRationalSystem</a> -- approximates solutions to a rational system of equations</span></li> <li><span><a title="option to specify whether additional output is wanted" href="_solve__Rational__System_lp..._cm__Verbose_eq_gt..._rp.html">solveRationalSystem(...,Verbose=>...)</a> -- option to specify whether additional output is wanted</span></li> <li><span><a title="a numerical blackbox solver" href="_solve__System.html">solveSystem</a> -- a numerical blackbox solver</span></li> <li><span><a title="option to specify the working precision" href="_solve__System_lp..._cmcomputing__Precision_eq_gt..._rp.html">solveSystem(...,computingPrecision=>...)</a> -- option to specify the working precision</span></li> <li><span><a title="option to set the number of threads" href="_solve__System_lp..._cmnum__Threads_eq_gt..._rp.html">solveSystem(...,numThreads=>...)</a> -- option to set the number of threads</span></li> <li><span><a title="option to set the seed of the random number generators" href="_solve__System_lp..._cmrandom__Seed_eq_gt..._rp.html">solveSystem(...,randomSeed=>...)</a> -- option to set the seed of the random number generators</span></li> <li><span><a title="option to specify whether additional output is wanted" href="_solve__System_lp..._cm__Verbose_eq_gt..._rp.html">solveSystem(...,Verbose=>...)</a> -- option to specify whether additional output is wanted</span></li> <li><span><a title="optional input for computation of the stable mixed volume" href="___Stable__Mixed__Volume.html">StableMixedVolume</a> -- optional input for computation of the stable mixed volume</span></li> <li><span><a title="optional input for cascade and numericalIrreducibleDecomposition" href="___Start__Dimension.html">StartDimension</a> -- optional input for cascade and numericalIrreducibleDecomposition</span></li> <li><span><a title="optional input to construct and solve a random coefficient system" href="___Start__System.html">StartSystem</a> -- optional input to construct and solve a random coefficient system</span></li> <li><span><a title="the degree of the continuation parameter" href="_t__Degree.html">tDegree</a> -- the degree of the continuation parameter</span></li> <li><span><a title="converts a list of rational polynomials into Laurent polynomials" href="_to__Laurent__Polynomial.html">toLaurentPolynomial</a> -- converts a list of rational polynomials into Laurent polynomials</span></li> <li><span><a title="returns a witness set and nonsolutions for the top dimensional solution set" href="_top__Witness__Set.html">topWitnessSet</a> -- returns a witness set and nonsolutions for the top dimensional solution set</span></li> <li><span><a title="option to specify whether additional output is wanted" href="_top__Witness__Set_lp..._cm__Verbose_eq_gt..._rp.html">topWitnessSet(...,Verbose=>...)</a> -- option to specify whether additional output is wanted</span></li> <li><span><a title="tracks paths defined by a typical homotopy between start and end systems" href="_track__Paths.html">trackPaths</a> -- tracks paths defined by a typical homotopy between start and end systems</span></li> <li><span><a title="Option to specify the value of the constant in the gamma trick" href="_track__Paths_lp..._cmgamma_eq_gt..._rp.html">trackPaths(...,gamma=>...)</a> -- Option to specify the value of the constant in the gamma trick</span></li> <li><span><a title="Option to run phc -p in interactive mode." href="_track__Paths_lp..._cminteractive_eq_gt..._rp.html">trackPaths(...,interactive=>...)</a> -- Option to run phc -p in interactive mode.</span></li> <li><span><a title="option to get all intermediate solutions on a path" href="_track__Paths_lp..._cmintermediate__Solutions_eq_gt..._rp.html">trackPaths(...,intermediateSolutions=>...)</a> -- option to get all intermediate solutions on a path</span></li> <li><span><a title="option to load the settings of the path trackers for a reproducible rerun" href="_track__Paths_lp..._cmload__Settings__Path_eq_gt..._rp.html">trackPaths(...,loadSettingsPath=>...)</a> -- option to load the settings of the path trackers for a reproducible rerun</span></li> <li><span><a title="Option to define the number of threads in the path tracker." href="_track__Paths_lp..._cmnum__Threads_eq_gt..._rp.html">trackPaths(...,numThreads=>...)</a> -- Option to define the number of threads in the path tracker.</span></li> <li><span><a title="option to save the settings of the path trackers for a reproducible rerun" href="_track__Paths_lp..._cmsave__Settings__Path_eq_gt..._rp.html">trackPaths(...,saveSettingsPath=>...)</a> -- option to save the settings of the path trackers for a reproducible rerun</span></li> <li><span><a title="Option to follow the progress of the multithreaded path tracker." href="_track__Paths_lp..._cmsee__Progress_eq_gt..._rp.html">trackPaths(...,seeProgress=>...)</a> -- Option to follow the progress of the multithreaded path tracker.</span></li> <li><span><a title="Option to specify the degree of the continuation parameter" href="_track__Paths_lp..._cmt__Degree_eq_gt..._rp.html">trackPaths(...,tDegree=>...)</a> -- Option to specify the degree of the continuation parameter</span></li> <li><span><a title="option to specify whether additional output is wanted" href="_track__Paths_lp..._cm__Verbose_eq_gt..._rp.html">trackPaths(...,Verbose=>...)</a> -- option to specify whether additional output is wanted</span></li> <li><span><a title="returns the version number and release date of phc" href="_version__Number.html">versionNumber</a> -- returns the version number and release date of phc</span></li> <li><span><a title="option to print the output of phc --version to screen" href="_version__Number_lp..._cm__Verbose_eq_gt..._rp.html">versionNumber(...,Verbose=>...)</a> -- option to print the output of phc --version to screen</span></li> <li><span><a title="returns solutions with k-th coordinate less than the given tolerance" href="_zero__Filter.html">zeroFilter</a> -- returns solutions with k-th coordinate less than the given tolerance</span></li> </ul> </body> </html>