master index

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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

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(betti, ChainComplex)

(degree,Matrix)

(symbol _,Function,Thing)

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Acknowledgements

addStartFunction

adjoints of maps

algebraic geometry

algebraic varieties

assigning values

associated primes of an ideal

associative algebras

AssociativeExpression

bases of parts of modules

basic arithmetic of matrices

basic construction source and target of a ring map

basic construction, source and target of a ring map

BasisElementLimit

BinaryOperation

BinaryPowerMethod

briefDocumentation

cacheFileNameKeys

Canonical Embeddings of Plane Curves and Gonality

chain complexes

ChainComplexMap

classes and types

CodimensionLimit

coefficientRing

coherent sheaves

combinatorial functions

communicating with programs

commutative algebra

CompleteIntersection

component example

computing Groebner bases

computing resolutions

computing with partial results

concatenating matrices

conditional execution

connectionCount

control structures

ConversionFormat

ConvertFixedRepeat

ConvertToExpression

convex hulls and polar cones

Copyright and license

creating an ideal

creating and writing files

currentDirectory

currentFileName

Daniel R. Grayson

determinants and minors

Developer's Corner

diff and contract

differentiation

dimension, codimension, and degree

divideByVariable

editing Macaulay 2 code with emacs

Elementary uses of Groebner bases

elimination of variables

elimination theory

EliminationOrder

EmptyMarkUpType

engine communication protocol

equality and containment

evaluation and composition of ring maps

executing other programs

exterior algebras

exterior power of a matrix

exterior power of a module

extracting generators of an ideal

extracting information from chain complexes

factoring polynomials

Factory library

finding a Groebner basis

fine control of a Groebner basis computation

finite field extensions

finite fields, part II

format and display of matrices in Macaulay 2

formatDocumentTag

fraction fields

free resolutions of modules

FunctionApplication

GC garbage collector

gcdCoefficients

GeneralOrderedGroup

GeneralOrderedMonoid

generatorExpressions

generatorSymbols

genericSkewMatrix

genericSymmetricMatrix

getChangeMatrix

getting input from the user

Getting started

globalAssignFunction

GlobalAssignHook

globalReleaseFunction

GlobalReleaseHook

GradedModuleMap

gradedModuleMap

graphing curves and surfaces via 'surf'

Groebner bases and related computations

HardDegreeLimit

high level gb engine commands

Hilbert functions

Hilbert functions and free resolutions

hilbertFunction

hilbertPolynomial

homomorphisms (maps) between modules

how to get documentation on a library

How to get this program

ICfractionsLong

ideal quotients and saturation

ideals and modules

ideals to and from matrices

ideals to and from modules

importing and exporting matrices

IndeterminateNumber

indexComponents

IndexedVariable

IndexedVariableTable

inducesWellDefinedMap

inheritance from parents

initialization file

input and output

installing methods

integralClosure

intersection of ideals

invariants of finite groups

Invoking the program

irreducibleCharacteristicSeries

isMonomialIdeal

isPolynomialRing

isQuotientModule

kernel and image of a ring map

kernel, cokernel and image of a matrix

Language and Programming Overview

leadCoefficient

leadCoefficient f

Lenstra-Lenstra-Lovasz (LLL) lattice basis reduction

listUserSymbols

loading a library

local variables in a file

local variables in a function

low level gb engine commands

Macaulay2/COPYING

making a new method function

making chain complexes by hand

making functions

making functions with a variable number of arguments

making new classes

making new functions with optional arguments

manipulating chain complexes

manipulating polynomials

mapping over hash tables

mapping over lists

maps between chain complexes

maps between rings

Mathematical Overview

Mathematical Vignettes

matrices to and from modules

MatrixExpression

Michael E. Stillman

minimal primes of an ideal

minimal primes of an ideal

MinimalGenerators

MinorsComputation

minPresMapIdeal

Miscellaneous Topics

monomial orderings

monomialCurveIdeal

MonomialOrdering

monomialSubideal

multi-graded polynomial rings

MutableHashTable

newCoordinateSystem

newDegreesMonoid

NewMonomialOrder

NewOfFromMethod

n

NonAssociativeProduct

not documented yet

numbered variables

obsolete functions and symbols

oldCoefficients

openDatabaseOut

operations on modules

over local rings

over polynomial rings over a field

over polynomial rings over the integers

over the ring of integers

over Weyl algebras

PfaffiansComputation

poincareComputation

polynomial rings

polynomial rings with other monomial orderings

primary decomposition

primaryComponent

primaryDecomposition

primaryDecompostion

PrimitiveElement

printing and formatting for new classes

printing to the screen

ProjectiveHilbertPolynomial

projectiveHilbertPolynomial

ProjectiveVariety

pseudoRemainder

PushforwardComputation

quasi- and multi-graded polynomial rings

radical of an ideal

random and generic matrices

rank of a matrix

Reading the Documentation

Reference Manual

removeLowestDimension

replacements for commands and scripts from Macaulay

Resources required

rings that are available for Groebner basis computations

runEndFunctions

running Macaulay 2 in emacs

runStartFunctions

ScriptedFunctor

selectInSubring

SelfInitializingType

setrecursionlimit

showUserStructure

simple information about a matrix

SimplePowerMethod

SingleArgumentDispatch

Singular-Factory

Singular-Libfac

SkewCommutative

solving systems of polynomial equations

SparseMonomialVectorExpression

SparseVectorExpression

specifying typical values

StopBeforeComputation

StopWithMinimalGenerators

subquotient modules

subscripted variables

substitute values for variables

substitution and maps between rings

sums, products, and powers of ideals

symmetric algebras

symmetricAlgebra

temporaryFileName

tensor products of rings

tensorAssociativity

toExternalString

topCoefficients

transmitting a matrix

transmitting a monomial

transmitting a polynomial

transmitting a positive integer

transmitting a sequence

transmitting a vector

transmitting an integer

transmitting an integer mod n

two dimensional formatting

UseHilbertFunction

using external libraries

using functions

using functions with optional arguments

VariableBaseName

variables and symbols

viewing the symbols defined so far

w

what a class is

what is a Groebner basis?

working with multiple rings

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

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