This is the file .../info/dir, which contains the topmost node of the Info hierarchy, called (dir)Top. The first time you invoke Info you start off looking at this node.  File: dir, Node: Top This is the top of the INFO tree This (the Directory node) gives a menu of major topics. Typing "q" exits, "H" lists all Info commands, "d" returns here, "h" gives a primer for first-timers, "mEmacs<Return>" visits the Emacs manual, etc. In Emacs, you can click mouse button 2 on a menu item or cross reference to select it. * Menu: Archiving * Cpio: (cpio). Copy-in-copy-out archiver to tape or disk. * Shar utilities: (sharutils). Shell archiver, uuencode/uudecode. * Tar: (tar). Making tape (or disk) archives. Basics * Bash: (bash). The GNU Bourne-Again SHell. * Common options: (coreutils)Common options. * Coreutils: (coreutils). Core GNU (file, text, shell) utilities. * Date input formats: (coreutils)Date input formats. * Ed: (ed). The GNU line editor * File permissions: (coreutils)File permissions. Access modes. * Finding files: (find). Operating on files matching certain criteria. * time: (time). GNU time Utility C++ libraries * autosprintf: (autosprintf). Support for printf format strings in C++. C++ Libraries * Source-highlight-lib: (source-highlight-lib). Highlights contents Compression * Gzip: (gzip). General (de)compression of files (lzw). Development * libffi: (libffi). Portable foreign-function interface library. DOS * Mtools: (mtools). Mtools: utilities to access DOS disks in Unix. Editors * nano: (nano). Small and friendly text editor. Emacs * IDN Library: (libidn)Emacs API. Emacs API for IDN functions. Email-software * The Mutt E-Mail Client: (mutt). Text based mail reader Encryption * Nettle: (nettle). A low-level cryptographic library. General Commands * Screen: (screen). Full-screen window manager. GNU Gettext Utilities * autopoint: (gettext)autopoint Invocation. Copy gettext infrastructure. * envsubst: (gettext)envsubst Invocation. Expand environment variables. * gettextize: (gettext)gettextize Invocation. Prepare a package for gettext. * gettext: (gettext). GNU gettext utilities. * ISO3166: (gettext)Country Codes. ISO 3166 country codes. * ISO639: (gettext)Language Codes. ISO 639 language codes. * msgattrib: (gettext)msgattrib Invocation. Select part of a PO file. * msgcat: (gettext)msgcat Invocation. Combine several PO files. * msgcmp: (gettext)msgcmp Invocation. Compare a PO file and template. * msgcomm: (gettext)msgcomm Invocation. Match two PO files. * msgconv: (gettext)msgconv Invocation. Convert PO file to encoding. * msgen: (gettext)msgen Invocation. Create an English PO file. * msgexec: (gettext)msgexec Invocation. Process a PO file. * msgfilter: (gettext)msgfilter Invocation. Pipe a PO file through a filter. * msgfmt: (gettext)msgfmt Invocation. Make MO files out of PO files. * msggrep: (gettext)msggrep Invocation. Select part of a PO file. * msginit: (gettext)msginit Invocation. Create a fresh PO file. * msgmerge: (gettext)msgmerge Invocation. Update a PO file from template. * msgunfmt: (gettext)msgunfmt Invocation. Uncompile MO file into PO file. * msguniq: (gettext)msguniq Invocation. Unify duplicates for PO file. * ngettext: (gettext)ngettext Invocation. Translate a message with plural. * xgettext: (gettext)xgettext Invocation. Extract strings into a PO file. GNU Libraries * libgcrypt: (gcrypt). Cryptographic function library. * libgomp: (libgomp). GNU Offloading and Multi Processing Runtime Library. * libquadmath: (libquadmath). GCC Quad-Precision Math Library GNU organization * Maintaining Findutils: (find-maint). Maintaining GNU findutils * Standards: (standards). GNU coding standards. GNU Packages * Aspell: (aspell). GNU Utilities * acct: (accounting). The GNU Accounting utilities for process and login accounting * dirmngr: (gnupg). X.509 CRL and OCSP server. * dirmngr-client: (gnupg). X.509 CRL and OCSP client. * gpg-agent: (gnupg). The secret key daemon. * gpg2: (gnupg). OpenPGP encryption and signing tool. * gpgsm: (gnupg). S/MIME encryption and signing tool. * pinentry: (pinentry). Securely ask for a passphrase or PIN. Individual utilities * Gawk Work Flow: (gawkworkflow)Overview. Participating in 'gawk' development. * aclocal-invocation: (automake)aclocal Invocation. Generating aclocal.m4. * addr2line: (binutils)addr2line. Convert addresses to file and line. * ar: (binutils)ar. Create, modify, and extract from archives. * arch: (coreutils)arch invocation. Print machine hardware name. * autoconf-invocation: (autoconf)autoconf Invocation. How to create configuration scripts * autoheader: (autoconf)autoheader Invocation. How to create configuration templates * autom4te: (autoconf)autom4te Invocation. The Autoconf executables backbone * automake-invocation: (automake)automake Invocation. Generating Makefile.in. * autoreconf: (autoconf)autoreconf Invocation. Remaking multiple `configure' scripts * autoscan: (autoconf)autoscan Invocation. Semi-automatic `configure.ac' writing * autoupdate: (autoconf)autoupdate Invocation. Automatic update of `configure.ac' * awk: (gawk)Invoking Gawk. Text scanning and processing. * b2sum: (coreutils)b2sum invocation. Print or check BLAKE2 digests. * base32: (coreutils)base32 invocation. Base32 encode/decode data. * base64: (coreutils)base64 invocation. Base64 encode/decode data. * basename: (coreutils)basename invocation. Strip directory and suffix. * c++filt: (binutils)c++filt. Filter to demangle encoded C++ symbols. * cat: (coreutils)cat invocation. Concatenate and write files. * chcon: (coreutils)chcon invocation. Change SELinux CTX of files. * chgrp: (coreutils)chgrp invocation. Change file groups. * chmod: (coreutils)chmod invocation. Change access permissions. * chown: (coreutils)chown invocation. Change file owners and groups. * chroot: (coreutils)chroot invocation. Specify the root directory. * cksum: (coreutils)cksum invocation. Print POSIX CRC checksum. * cmp: (diffutils)Invoking cmp. Compare 2 files byte by byte. * comm: (coreutils)comm invocation. Compare sorted files by line. * config.status: (autoconf)config.status Invocation. Recreating configurations. * configure: (autoconf)configure Invocation. Configuring a package. * cp: (coreutils)cp invocation. Copy files. * csplit: (coreutils)csplit invocation. Split by context. * cut: (coreutils)cut invocation. Print selected parts of lines. * cxxfilt: (binutils)c++filt. MS-DOS name for c++filt. * date: (coreutils)date invocation. Print/set system date and time. * dd: (coreutils)dd invocation. Copy and convert a file. * df: (coreutils)df invocation. Report file system disk usage. * diff: (diffutils)Invoking diff. Compare 2 files line by line. * diff3: (diffutils)Invoking diff3. Compare 3 files line by line. * dir: (coreutils)dir invocation. List directories briefly. * dircolors: (coreutils)dircolors invocation. Color setup for ls. * dirname: (coreutils)dirname invocation. Strip last file name component. * dlltool: (binutils)dlltool. Create files needed to build and use DLLs. * du: (coreutils)du invocation. Report on disk usage. * echo: (coreutils)echo invocation. Print a line of text. * elfedit: (binutils)elfedit. Update the ELF header of ELF files. * env: (coreutils)env invocation. Modify the environment. * expand: (coreutils)expand invocation. Convert tabs to spaces. * expr: (coreutils)expr invocation. Evaluate expressions. * factor: (coreutils)factor invocation. Print prime factors * false: (coreutils)false invocation. Do nothing, unsuccessfully. * find: (find)Invoking find. Finding and acting on files. * fmt: (coreutils)fmt invocation. Reformat paragraph text. * fold: (coreutils)fold invocation. Wrap long input lines. * groups: (coreutils)groups invocation. Print group names a user is in. * gunzip: (gzip)Overview. Decompression. * gzexe: (gzip)Overview. Compress executables. * head: (coreutils)head invocation. Output the first part of files. * hostid: (coreutils)hostid invocation. Print numeric host identifier. * hostname: (coreutils)hostname invocation. Print or set system name. * id: (coreutils)id invocation. Print user identity. * ifnames: (autoconf)ifnames Invocation. Listing conditionals in source. * install: (coreutils)install invocation. Copy files and set attributes. * install-tl:: Installing TeX Live. * join: (coreutils)join invocation. Join lines on a common field. * kill: (coreutils)kill invocation. Send a signal to processes. * libtool-invocation: (libtool)Invoking libtool. Running the 'libtool' script. * libtoolize: (libtool)Invoking libtoolize. Adding libtool support. * link: (coreutils)link invocation. Make hard links between files. * ln: (coreutils)ln invocation. Make links between files. * locate: (find)Invoking locate. Finding files in a database. * logname: (coreutils)logname invocation. Print current login name. * ls: (coreutils)ls invocation. List directory contents. * md5sum: (coreutils)md5sum invocation. Print or check MD5 digests. * mkdir: (coreutils)mkdir invocation. Create directories. * mkfifo: (coreutils)mkfifo invocation. Create FIFOs (named pipes). * mknod: (coreutils)mknod invocation. Create special files. * mktemp: (coreutils)mktemp invocation. Create temporary files. * mv: (coreutils)mv invocation. Rename files. * nice: (coreutils)nice invocation. Modify niceness. * nl: (coreutils)nl invocation. Number lines and write files. * nlmconv: (binutils)nlmconv. Converts object code into an NLM. * nm: (binutils)nm. List symbols from object files. * nohup: (coreutils)nohup invocation. Immunize to hangups. * nproc: (coreutils)nproc invocation. Print the number of processors. * numfmt: (coreutils)numfmt invocation. Reformat numbers. * objcopy: (binutils)objcopy. Copy and translate object files. * objdump: (binutils)objdump. Display information from object files. * od: (coreutils)od invocation. Dump files in octal, etc. * paste: (coreutils)paste invocation. Merge lines of files. * patch: (diffutils)Invoking patch. Apply a patch to a file. * pathchk: (coreutils)pathchk invocation. Check file name portability. * pr: (coreutils)pr invocation. Paginate or columnate files. * printenv: (coreutils)printenv invocation. Print environment variables. * printf: (coreutils)printf invocation. Format and print data. * ptx: (coreutils)ptx invocation. Produce permuted indexes. * pwd: (coreutils)pwd invocation. Print working directory. * ranlib: (binutils)ranlib. Generate index to archive contents. * readelf: (binutils)readelf. Display the contents of ELF format files. * readlink: (coreutils)readlink invocation. Print referent of a symlink. * realpath: (coreutils)realpath invocation. Print resolved file names. * rm: (coreutils)rm invocation. Remove files. * rmdir: (coreutils)rmdir invocation. Remove empty directories. * runcon: (coreutils)runcon invocation. Run in specified SELinux CTX. * sdiff: (diffutils)Invoking sdiff. Merge 2 files side-by-side. * seq: (coreutils)seq invocation. Print numeric sequences * sha1sum: (coreutils)sha1sum invocation. Print or check SHA-1 digests. * sha2: (coreutils)sha2 utilities. Print or check SHA-2 digests. * shar: (sharutils)shar Invocation. Make a shell archive. * shred: (coreutils)shred invocation. Remove files more securely. * shuf: (coreutils)shuf invocation. Shuffling text files. * size: (binutils)size. List section sizes and total size. * sleep: (coreutils)sleep invocation. Delay for a specified time. * sort: (coreutils)sort invocation. Sort text files. * split: (coreutils)split invocation. Split into pieces. * stat: (coreutils)stat invocation. Report file(system) status. * stdbuf: (coreutils)stdbuf invocation. Modify stdio buffering. * strings: (binutils)strings. List printable strings from files. * strip: (binutils)strip. Discard symbols. * stty: (coreutils)stty invocation. Print/change terminal settings. * sum: (coreutils)sum invocation. Print traditional checksum. * sync: (coreutils)sync invocation. Synchronize memory to disk. * tac: (coreutils)tac invocation. Reverse files. * tail: (coreutils)tail invocation. Output the last part of files. * tar: (tar)tar invocation. Invoking GNU 'tar'. * tee: (coreutils)tee invocation. Redirect to multiple files. * test: (coreutils)test invocation. File/string tests. * testsuite: (autoconf)testsuite Invocation. Running an Autotest test suite. * timeout: (coreutils)timeout invocation. Run with time limit. * tlmgr:: Managing TeX Live. * touch: (coreutils)touch invocation. Change file timestamps. * tr: (coreutils)tr invocation. Translate characters. * true: (coreutils)true invocation. Do nothing, successfully. * truncate: (coreutils)truncate invocation. Shrink/extend size of a file. * tsort: (coreutils)tsort invocation. Topological sort. * tty: (coreutils)tty invocation. Print terminal name. * uname: (coreutils)uname invocation. Print system information. * unexpand: (coreutils)unexpand invocation. Convert spaces to tabs. * uniq: (coreutils)uniq invocation. Uniquify files. * unlink: (coreutils)unlink invocation. Removal via unlink(2). * unshar: (sharutils)unshar Invocation. Explode a shell archive. * updatedb: (find)Invoking updatedb. Building the locate database. * uptime: (coreutils)uptime invocation. Print uptime and load. * users: (coreutils)users invocation. Print current user names. * uudecode: (sharutils)uudecode Invocation. Restore file from 7-bits. * uuencode: (sharutils)uuencode Invocation. Force binary file to 7-bits. * vdir: (coreutils)vdir invocation. List directories verbosely. * wc: (coreutils)wc invocation. Line, word, and byte counts. * who: (coreutils)who invocation. Print who is logged in. * whoami: (coreutils)whoami invocation. Print effective user ID. * windmc: (binutils)windmc. Generator for Windows message resources. * windres: (binutils)windres. Manipulate Windows resources. * xargs: (find)Invoking xargs. Operating on many files. * yes: (coreutils)yes invocation. Print a string indefinitely. * zcat: (gzip)Overview. Decompression to stdout. * zdiff: (gzip)Overview. Compare compressed files. * zforce: (gzip)Overview. Force .gz extension on files. * zgrep: (gzip)Overview. Search compressed files. * zmore: (gzip)Overview. Decompression output by pages. Internationalization and character sets * recode: (recode). Conversion between character sets and surfaces. Kernel * grub2-dev: (grub2-dev). The GRand Unified Bootloader Dev * grub2-install: (grub2)Invoking grub2-install. Install GRUB on your drive * grub2-mkconfig: (grub2)Invoking grub2-mkconfig. Generate GRUB configuration * grub2-mkpasswd-pbkdf2: (grub2)Invoking grub2-mkpasswd-pbkdf2. * grub2-mkrelpath: (grub2)Invoking grub2-mkrelpath. * grub2-mkrescue: (grub2)Invoking grub2-mkrescue. Make a GRUB rescue image * grub2-mount: (grub2)Invoking grub2-mount. Mount a file system using GRUB * grub2-probe: (grub2)Invoking grub2-probe. Probe device information * grub2-script-check: (grub2)Invoking grub2-script-check. * GRUB2: (grub2). The GRand Unified Bootloader Libraries * History: (history). The GNU history library API. * RLuserman: (rluserman). The GNU readline library User's Manual. * Readline: (readline). The GNU readline library API. * libgpg-error: (gnupg). Error codes and common code for GnuPG. Localization * idn: (libidn)Invoking idn. Internationalized Domain Name (IDN) string conversion. Macaulay2 and its packages * A1BrouwerDegrees: (A1BrouwerDegrees). A1-Brouwer degree computations * AInfinity: (AInfinity). AInfinity structures on free resolutions * AbstractSimplicialComplexes: (AbstractSimplicialComplexes). Abstract Simplicial Complexes * AbstractToricVarieties: (AbstractToricVarieties). links abstract simplicial (normal) toric varieties to Schubert2 * AdjointIdeal: (AdjointIdeal). adjoint ideals of plane curves and related computations * AdjunctionForSurfaces: (AdjunctionForSurfaces). Adjunction for Surfaces * AlgebraicSplines: (AlgebraicSplines). splines on simplicial complexes, polytopal complexes, and graphs * AllMarkovBases: (AllMarkovBases). computing all minimal Markov bases of a configuration matrix * AnalyzeSheafOnP1: (AnalyzeSheafOnP1). decompose a Sheaf on P1 * AssociativeAlgebras: (AssociativeAlgebras). Noncommutative algebra * BGG: (BGG). Bernstein-Gelfand-Gelfand correspondence * BIBasis: (BIBasis). involutive Pommaret basis in a Boolean ring * BeginningMacaulay2: (BeginningMacaulay2). Mathematicians' Introduction to Macaulay2 * Benchmark: (Benchmark). standard Macaulay2 benchmarks * BernsteinSato: (BernsteinSato). Bernstein-Sato * Bertini: (Bertini). interface to Bertini * BettiCharacters: (BettiCharacters). finite group characters on free resolutions and graded modules * BinomialEdgeIdeals: (BinomialEdgeIdeals). binomial edge ideals * Binomials: (Binomials). specialized routines for binomial ideals * BoijSoederberg: (BoijSoederberg). Betti diagram operations useful for investigating the Boij-Soederberg conjectures * Book3264Examples: (Book3264Examples). examples to accompany the eponymous book by Eisenbud and Harris * BooleanGB: (BooleanGB). Groebner bases for ideals in Boolean polynomial quotient rings * Brackets: (Brackets). Brackets, Grassmann-Cayley Algebra, and Projective Geometry * Browse: (Browse). a method for browsing and examining Macaulay2 data structures * Bruns: (Bruns). make a 3-generator ideal with an "any" resolution * CellularResolutions: (CellularResolutions). cellular resolutions of monomial ideals * ChainComplexExtras: (ChainComplexExtras). some additional ChainComplex Functions * ChainComplexOperations: (ChainComplexOperations). sym2, wedge2, chi2 of a ChainComplex * CharacteristicClasses: (CharacteristicClasses). CSM and Segre classes and the Euler characteristic for subschemes of smooth complete toric varieties * Chordal: (Chordal). routines that exploit chordal structure * Classic: (Classic). a classic Macaulay parser * CodingTheory: (CodingTheory). tools for coding theory * CohomCalg: (CohomCalg). interface to cohomCalg software for computing sheaf cohomology of line bundles on toric varieties * CoincidentRootLoci: (CoincidentRootLoci). coincident root loci * CompleteIntersectionResolutions: (CompleteIntersectionResolutions). Analyzing Resolutions over a Complete Intersection * Complexes: (Complexes). beta testing new version of chain complexes * ConformalBlocks: (ConformalBlocks). for conformal block divisors * ConnectionMatrices: (ConnectionMatrices). connection matrices and integrable systems from D-ideals * ConvexInterface: (ConvexInterface). interface to Convex * ConwayPolynomials: (ConwayPolynomials). a database of Conway polynomials * CorrespondenceScrolls: (CorrespondenceScrolls). correspondence scrolls * CotangentSchubert: (CotangentSchubert). Cotangent Schubert calculus * Cremona: (Cremona). rational maps between projective varieties * Cyclotomic: (Cyclotomic). cyclotomic fields * DGAlgebras: (DGAlgebras). Data type for DG algebras * DecomposableSparseSystems: (DecomposableSparseSystems). Solving decomposable sparse systems * Depth: (Depth). aids in computations related to depth * DeterminantalRepresentations: (DeterminantalRepresentations). determinantal representations * DiffAlg: (DiffAlg). specialized routines for differential forms * Divisor: (Divisor). Weil divisors * Dmodules: (Dmodules). D-modules * EagonResolution: (EagonResolution). Compute the Eagon Resolution of the residue field * EdgeIdeals: (EdgeIdeals). edge ideals * EigenSolver: (EigenSolver). polynomial system solver via eigen-computations * Elimination: (Elimination). elimination of variables * EliminationMatrices: (EliminationMatrices). resultants * EllipticCurves: (EllipticCurves). group law on elliptic curves (and counting points with brute force methods) * EllipticIntegrals: (EllipticIntegrals). uniformization of elliptic curves * EngineTests: (EngineTests). a test suite for the Macaulay2 engine * EnumerationCurves: (EnumerationCurves). Enumeration of rational curves via torus actions * EquivariantGB: (EquivariantGB). Equivariant Groebner bases and related algorithms * ExampleSystems: (ExampleSystems). database of polynomial systems * ExteriorIdeals: (ExteriorIdeals). monomial ideals over exterior algebras * ExteriorModules: (ExteriorModules). monomial modules over exterior algebras * FGLM: (FGLM). Groebner bases via the FGLM algorithm * FastMinors: (FastMinors). faster linear algebra operations * FiniteFittingIdeals: (FiniteFittingIdeals). Fitting ideals of finite modules * FirstPackage: (FirstPackage). an example Macaulay2 package * ForeignFunctions: (ForeignFunctions). foreign function interface * FormalGroupLaws: (FormalGroupLaws). commutative formal group laws * FourTiTwo: (FourTiTwo). Interface to 4ti2 * FourierMotzkin: (FourierMotzkin). convex hulls and polar cones * FrobeniusThresholds: (FrobeniusThresholds). F-thresholds * FunctionFieldDesingularization: (FunctionFieldDesingularization). desingularization of function fields * GKMVarieties: (GKMVarieties). computations with GKM manifolds and moment graphs * GameTheory: (GameTheory). computing equilibria in game theory * GenericInitialIdeal: (GenericInitialIdeal). find the generic initial ideal of a given ideal * GeometricDecomposability: (GeometricDecomposability). checking whether ideals are geometrically vertex decomposable * GradedLieAlgebras: (GradedLieAlgebras). computations in graded Lie algebras * GraphicalModels: (GraphicalModels). discrete and Gaussian graphical models * GraphicalModelsMLE: (GraphicalModelsMLE). maximum likelihood estimates for graphical statistical models * Graphics: (Graphics). create graphics * Graphs: (Graphs). graphs and directed graphs (digraphs) * GroebnerStrata: (GroebnerStrata). computing Groebner loci in Hilbert schemes * GroebnerWalk: (GroebnerWalk). Groebner bases via the Groebner walk * Hadamard: (Hadamard). Hadamard products of projective subvarieties * HigherCIOperators: (HigherCIOperators). higher CI operators * HighestWeights: (HighestWeights). decompose free resolutions and graded modules with a semisimple Lie group action * HodgeIntegrals: (HodgeIntegrals). Hodge integrals on the moduli space of curves * HolonomicSystems: (HolonomicSystems). Holonomic Systems * HomotopyLieAlgebra: (HomotopyLieAlgebra). Homotopy Lie algebra * HyperplaneArrangements: (HyperplaneArrangements). manipulating finite sets of hyperplanes * IncidenceCorrespondenceCohomology: (IncidenceCorrespondenceCohomology). Cohomology on the incidence correspondence, bundle of principal parts, and Lefschetz properties * IntegerProgramming: (IntegerProgramming). solving integer programs with Gröbner bases * IntegralClosure: (IntegralClosure). integral closure * InvariantRing: (InvariantRing). invariants of group actions * InverseSystems: (InverseSystems). equivariant Macaulay inverse systems * InvolutiveBases: (InvolutiveBases). Methods for Janet bases and Pommaret bases in Macaulay 2 * Isomorphism: (Isomorphism). probabilistic test of isomorphism between modules * JSON: (JSON). JSON encoding and decoding * Jets: (Jets). compute jets of various algebraic, geometric and combinatorial objects * K3Carpets: (K3Carpets). K3 double structure on scrolls * K3Surfaces: (K3Surfaces). Explicit constructions of K3 surfaces * Kronecker: (Kronecker). Kronecker and rational normal forms * KustinMiller: (KustinMiller). unprojection and the Kustin-Miller complex construction * LLLBases: (LLLBases). Lenstra-Lenstra-Lovasz bases * LatticePolytopes: (LatticePolytopes). lattice polytopes * LexIdeals: (LexIdeals). lexicographic-type monomial ideals * LieTypes: (LieTypes). common types and methods for Lie groups and Lie algebras * LinearTruncations: (LinearTruncations). find the multigraded truncations that give linear resolutions * LocalRings: (LocalRings). operations over a local ring R_p * M0nbar: (M0nbar). calculations for divisors and F-curves on the moduli space of stable n-pointed genus zero curves * MCMApproximations: (MCMApproximations). MCM approximations and complete intersections * Macaulay2Doc: (Macaulay2Doc). Macaulay2 documentation * MapleInterface: (MapleInterface). interface to Maple * Markov: (Markov). Markov ideals arising from Bayesian networks in statistics * MatchingFields: (MatchingFields). Toric degenerations of flag varieties via matching fields * MatrixSchubert: (MatrixSchubert). functions for investigating ASM and matrix Schubert varieties * Matroids: (Matroids). computations with matroids * MergeTeX: (MergeTeX). Run Macaulay2 code inside a LaTeX file * MinimalPrimes: (MinimalPrimes). minimal primes and radical routines for ideals * Miura: (Miura). arithmetic of Miura curves * MixedMultiplicity: (MixedMultiplicity). Mixed Multiplicities of ideals * ModuleDeformations: (ModuleDeformations). versal deformations of maximal Cohen-Macaulay modules * MonodromySolver: (MonodromySolver). solving polynomial systems via monodromy * MonomialAlgebras: (MonomialAlgebras). monomial algebras * MonomialIntegerPrograms: (MonomialIntegerPrograms). using integer programming for fast computations with monomial ideals * MonomialOrbits: (MonomialOrbits). Orbit representatives of monomial ideals * Msolve: (Msolve). interface to the msolve library for solving multivariate polynomial systems using Groebner Bases * MultiGradedRationalMap: (MultiGradedRationalMap). degree and birationality of multi-graded rational maps * MultigradedBGG: (MultigradedBGG). the multigraded BGG correspondence and differential modules * MultigradedImplicitization: (MultigradedImplicitization). solving implicitization problems using multigradings * MultiplicitySequence: (MultiplicitySequence). computing the multiplicity sequence of an ideal * MultiplierIdeals: (MultiplierIdeals). multiplier ideals, log canonical thresholds, and jumping numbers * MultiplierIdealsDim2: (MultiplierIdealsDim2). multiplier ideals in 2-dimensional rings * MultiprojectiveVarieties: (MultiprojectiveVarieties). multi-projective varieties and multi-rational maps * NAGtypes: (NAGtypes). types used in Numerical Algebraic Geometry * NCAlgebra: (NCAlgebra). data types for noncommutative algebras * Nauty: (Nauty). interface to nauty * NautyGraphs: (NautyGraphs). interface to nauty (Graphs fork) * NoetherNormalization: (NoetherNormalization). place an ideal in Noether normal position * NoetherianOperators: (NoetherianOperators). algorithms for computing local dual spaces and sets of Noetherian operators * NonminimalComplexes: (NonminimalComplexes). non-minimal strands of a non-minimal resolution of a homogeneous module * NormalToricVarieties: (NormalToricVarieties). routines for working with normal toric varieties and related objects * Normaliz: (Normaliz). interface to Normaliz in Macaulay2 * NumericSolutions: (NumericSolutions). solving systems of polynomial equalities * NumericalAlgebraicGeometry: (NumericalAlgebraicGeometry). numerical algebraic geometry * NumericalCertification: (NumericalCertification). numerical certification * NumericalImplicitization: (NumericalImplicitization). numerical invariants of images of varieties * NumericalLinearAlgebra: (NumericalLinearAlgebra). numerically compute local dual space and Hilbert functions * NumericalSchubertCalculus: (NumericalSchubertCalculus). numerical methods in Schubert Calculus * NumericalSemigroups: (NumericalSemigroups). Compute the Apery set and invariants of a numerical semigroup ring * OIGroebnerBases: (OIGroebnerBases). OI-modules over Noetherian polynomial OI-algebras * OldChainComplexes: (OldChainComplexes). consolidating legacy chain complex code * OldPolyhedra: (OldPolyhedra). convex polyhedra * OldToricVectorBundles: (OldToricVectorBundles). vector bundles on toric varieties * OnlineLookup: (OnlineLookup). Look up mathematical information online * OpenMath: (OpenMath). OpenMath for Macaulay2 * Oscillators: (Oscillators). code to analyze graph oscillators * PHCpack: (PHCpack). interface to PHCpack * PackageCitations: (PackageCitations). citation of Macaulay2 packages * PackageTemplate: (PackageTemplate). an example Macaulay2 package * Parametrization: (Parametrization). rational parametrization of rational plane curves and related computations * Parsing: (Parsing). a framework for creating recursive descent parsers * PencilsOfQuadrics: (PencilsOfQuadrics). Clifford Algebra of a pencil of quadratic forms * Permanents: (Permanents). permanents of a matrix * Permutations: (Permutations). functions for working with permutations * PhylogeneticTrees: (PhylogeneticTrees). invariants for group-based phylogenetic models * PieriMaps: (PieriMaps). maps between representations of the general linear group based on the Pieri formulas * PlaneCurveLinearSeries: (PlaneCurveLinearSeries). Linear series on the normalization of a plane curve * Points: (Points). sets of points * Polyhedra: (Polyhedra). convex polyhedra * Polymake: (Polymake). interfacing with polymake * PolyominoIdeals: (PolyominoIdeals). binomial ideals of collections of cells * Posets: (Posets). partially ordered sets (posets) * PositivityToricBundles: (PositivityToricBundles). check positivity of toric vector bundles * PrimaryDecomposition: (PrimaryDecomposition). primary decomposition and associated primes routines * Probability: (Probability). basic probability functions * PruneComplex: (PruneComplex). pruning chain complexes over polynomial and local rings * PseudomonomialPrimaryDecomposition: (PseudomonomialPrimaryDecomposition). Primary decomposition of square free pseudomonomial ideals * Pullback: (Pullback). pullback of rings * PushForward: (PushForward). push forwards of finite ring maps * Python: (Python). interface to Python * QthPower: (QthPower). An implementation of the Qth-Power algorithm for computing integral closures * QuadraticIdealExamplesByRoos: (QuadraticIdealExamplesByRoos). Examples of Quadratic Ideals with Embedding Dimension Four by Jan-Erik Roos * Quasidegrees: (Quasidegrees). quasidegrees and graded local cohomology * QuaternaryQuartics: (QuaternaryQuartics). code to support the paper 'Quaternary Quartic Forms and Gorenstein Rings' * QuillenSuslin: (QuillenSuslin). the Quillen-Suslin algorithm for bases of projective modules * RInterface: (RInterface). interface to R for statistical computing * RandomCanonicalCurves: (RandomCanonicalCurves). Construction of random smooth canonical curves up to genus 14 * RandomComplexes: (RandomComplexes). random complexes over fields or the integers * RandomCurves: (RandomCurves). random curves * RandomCurvesOverVerySmallFiniteFields: (RandomCurvesOverVerySmallFiniteFields). general canonical curves of genus <= 15 over fields with small characteristic * RandomGenus14Curves: (RandomGenus14Curves). random smooth curves of genus 14 * RandomIdeals: (RandomIdeals). creating random ideals of various sorts * RandomMonomialIdeals: (RandomMonomialIdeals). Erdos-Renyi-type random monomial ideals * RandomObjects: (RandomObjects). a framework for making random objects in algebraic geometry * RandomPlaneCurves: (RandomPlaneCurves). random plane curves * RandomPoints: (RandomPoints). find a point in a given variety over a finite field * RandomSpaceCurves: (RandomSpaceCurves). random smooth space curves * RationalMaps: (RationalMaps). rational maps between varieties * RationalPoints: (RationalPoints). find the common zeroes of a set of polynomials with coefficients in a finite field * RationalPoints2: (RationalPoints2). find the rational points on a variety * ReactionNetworks: (ReactionNetworks). reaction networks * RealRoots: (RealRoots). symbolically exploring, counting, and locating real solutions to general polynomial systems * ReesAlgebra: (ReesAlgebra). Rees algebras * ReflexivePolytopesDB: (ReflexivePolytopesDB). simple access to Kreuzer-Skarke database of reflexive polytopes of dimensions 3 and 4 * Regularity: (Regularity). Castelnuovo-Mumford regularity of a homogeneous ideal * RelativeCanonicalResolution: (RelativeCanonicalResolution). the relative canonical resolution for g-nodal canonical curves with a fixed g^1_k * ResLengthThree: (ResLengthThree). Multiplication in free resolutions of length three * ResidualIntersections: (ResidualIntersections). conditions associated to residual intersection theory * ResolutionsOfStanleyReisnerRings: (ResolutionsOfStanleyReisnerRings). Comparing resolutions of Stanley-Reisner rings and computing various systems of parameters * Resultants: (Resultants). resultants, discriminants, and Chow forms * RunExternalM2: (RunExternalM2). run Macaulay2 functions outside the current Macaulay2 process * SCMAlgebras: (SCMAlgebras). sequentially Cohen-Macaulay modules or ideals * SCSCP: (SCSCP). SCSCP for Macaulay2 * SLPexpressions: (SLPexpressions). straight line programs and algebraic circuits * SLnEquivariantMatrices: (SLnEquivariantMatrices). file ancillary to the paper "A construction of equivariant bundles on the space of symmetric forms" * SRdeformations: (SRdeformations). deformations of Stanley-Reisner rings and related computations * SVDComplexes: (SVDComplexes). SVD (singular value decomposition) of a complex over the reals and related functions * SagbiGbDetection: (SagbiGbDetection). finding term orders for which the given generators of an ideal/algebra form a Gröbner/SAGBI basis * Saturation: (Saturation). quotient, saturation, and annihilator routines for ideals and modules * Schubert2: (Schubert2). characteristic classes for varieties without equations * SchurComplexes: (SchurComplexes). Schur functors of complexes * SchurFunctors: (SchurFunctors). Schur modules and maps between them * SchurRings: (SchurRings). representation rings of general linear groups and of symmetric groups * SchurVeronese: (SchurVeronese). Data for Veronese embeddings of projective space * SectionRing: (SectionRing). the section ring of a Weil Divisor * SegreClasses: (SegreClasses). Segre class computations for containment of varieties and Fulton-MacPherson intersection products * SemidefiniteProgramming: (SemidefiniteProgramming). semidefinite programming * Seminormalization: (Seminormalization). seminormalization of rings * Serialization: (Serialization). reversible conversion of all Macaulay2 objects to strings * SimpleDoc: (SimpleDoc). a simple documentation function * SimplicialComplexes: (SimplicialComplexes). exploring abstract simplicial complexes within commutative algebra * SimplicialDecomposability: (SimplicialDecomposability). various decomposability routines for simplicial complexes * SimplicialPosets: (SimplicialPosets). constructing Stanley simplicial poset rings * SlackIdeals: (SlackIdeals). Slack ideals of polytopes and matroids * SpaceCurves: (SpaceCurves). space curves * SparseResultants: (SparseResultants). computations with sparse resultants * SpechtModule: (SpechtModule). invariants for permutation groups * SpecialFanoFourfolds: (SpecialFanoFourfolds). Hodge-special fourfolds * SpectralSequences: (SpectralSequences). spectral sequences * StatGraphs: (StatGraphs). Graphs specific for algebraic statistics * StatePolytope: (StatePolytope). the state polytope of an ideal * StronglyStableIdeals: (StronglyStableIdeals). studying strongly stable ideals related to Hilbert polynomials * Style: (Style). style sheets and images for the documentation * SubalgebraBases: (SubalgebraBases). Canonical subalgebra bases (aka SAGBI/Khovanskii bases) * SumsOfSquares: (SumsOfSquares). sums of squares * SuperLinearAlgebra: (SuperLinearAlgebra). computations related to supermatrices * SwitchingFields: (SwitchingFields). Switch Base Fields and Obtain Natural Maps * SymbolicPowers: (SymbolicPowers). symbolic powers * SymmetricPolynomials: (SymmetricPolynomials). symmetric polynomials * TSpreadIdeals: (TSpreadIdeals). t-spread ideals of a polynomial ring * TangentCone: (TangentCone). tangent cones * TateOnProducts: (TateOnProducts). Tate resolutions on products of projective spaces * TensorComplexes: (TensorComplexes). multilinear algebra with labeled bases * TerraciniLoci: (TerraciniLoci). Terracini loci of projective varieties * TestIdeals: (TestIdeals). singularities in positive characteristic * Text: (Text). documentation and hypertext * ThinSincereQuivers: (ThinSincereQuivers). Construction of flow polytopes and their associated quivers * ThreadedGB: (ThreadedGB). Compute a Groebner basis using the classical Buchberger with multiple threads * Topcom: (Topcom). interface to the topcom software package which in particular computes triangulations * TorAlgebra: (TorAlgebra). classification of local rings based on multiplication in homology * ToricHigherDirectImages: (ToricHigherDirectImages). computations involving pushforwards and higher direct images of toric maps * ToricInvariants: (ToricInvariants). Euclidean distance degrees, polar degrees, and Chern-Mather classes of toric varieties * ToricTopology: (ToricTopology). toric topology * ToricVectorBundles: (ToricVectorBundles). vector bundles on toric varieties * TriangularSets: (TriangularSets). triangular decompositions of ideals * Triangulations: (Triangulations). triangulations of polyhedra and point sets * Triplets: (Triplets). triplets of degree sequences and associated Betti diagrams and cohomology tables * Tropical: (Tropical). computations in tropical geometry * TropicalToric: (TropicalToric). tropical methods for toric intersection theory * Truncations: (Truncations). truncation of a module * Units: (Units). units conversion and physical constants * VNumber: (VNumber). compute v-number of homogeneous ideals and v-function of monomial ideals * Valuations: (Valuations). implementation of valuations for rings * Varieties: (Varieties). routines for working with affine and projective varieties and coherent sheaves on them * VectorFields: (VectorFields). vector fields * VectorGraphics: (VectorGraphics). producing SVG graphics * VersalDeformations: (VersalDeformations). versal deformations and local Hilbert schemes * VirtualResolutions: (VirtualResolutions). Methods for virtual resolutions on products of projective spaces * Visualize: (Visualize). interactive visualization and manipulation of combinatorial objects in a browser * WeylAlgebras: (WeylAlgebras). D-modules * WeylGroups: (WeylGroups). root systems and Weyl groups * WhitneyStratifications: (WhitneyStratifications). Compute Whitney Statifications Algebraically & Stratifies Maps * XML: (XML). an XML parser * gfanInterface: (gfanInterface). interface to Anders Jensen's Gfan software Miscellaneous * acct: (accounting). User specific process accounting. * bc: (bc). The GNU calculator language. * dc: (dc). The GNU RPN calculator. Network applications * Wget: (wget). Non-interactive network downloader. * awkinet: (gawkinet). TCP/IP Internetworking With 'gawk'. Programming * flex: (flex). Fast lexical analyzer generator (lex replacement). Software development * As: (as). The GNU assembler. * Autoconf: (autoconf). Create source code configuration scripts. * Automake: (automake). Making GNU standards-compliant Makefiles. * Bfd: (bfd). The Binary File Descriptor library. * Binutils: (binutils). The GNU binary utilities. * Check: (check). A unit testing framework for C. * Cpp: (cpp). The GNU C preprocessor. * Cpplib: (cppinternals). Cpplib internals. * Gas: (as). The GNU assembler. * Ld: (ld). The GNU linker. * Libtool: (libtool). Generic shared library support script. * Make: (make). The GNU make utility. * annobin: (annobin). Annotating a compiled program * bison: (bison). The GNU parser generator. * g++: (gcc). The GNU C++ compiler. * gcc: (gcc). The GNU Compiler Collection. * gccinstall: (gccinstall). Installing the GNU Compiler Collection. * gccint: (gccint). Internals of the GNU Compiler Collection. * gcov: (gcc) Gcov. 'gcov'--a test coverage program. * gcov-dump: (gcc) Gcov-dump. 'gcov-dump'--an offline gcda and gcno profile dump tool. * gcov-tool: (gcc) Gcov-tool. 'gcov-tool'--an offline gcda profile processing program. * gprof: (gprof). Profiling your program's execution Software libraries * libidn: (libidn). Internationalized string processing library. Stress * stress: (stress)Invoking stress. System administration * Which: (which). Show full path of commands. * parted: (parted). GNU partitioning software Texinfo documentation system * info stand-alone: (info-stnd). Read Info documents without Emacs. Text creation and manipulation * Diffutils: (diffutils). Comparing and merging files. * Gawk: (gawk). A text scanning and processing language. * Gawk Work Flow: (gawkworkflow). Participating in 'gawk' development. * M4: (m4). A powerful macro processor. * grep: (grep). Print lines matching a pattern. * sed: (sed). Stream EDitor. The Algorithmic Language Scheme * Guile Reference: (guile). The Guile reference manual. * R5RS: (r5rs). The Revised(5) Report on Scheme. Utilities * Source-highlight: (source-highlight). Highlights contents

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