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-- Copyright 2004,2005,2006,2007,2008 by Daniel R. Grayson needs "packages.m2" export { "!", "!=", "#", "#?", "%", "&", "(", "(*)", ")", "*", "**", "+", "++", ",", "-", "->", ".", "..", "..<", ".?", "/", "//", ":", ":=", ";", "<", "<-", "<<", "<=", "<==", "<===", "<==>", "=!=", "=", "==", "===", "===>", "==>", "=>", ">", ">=", ">>", "?", "??", "@", "@@", "^>", "^>=", "^<", "^<=", "_>", "_>=", "_<", "_<=", "·", "⊠", "⧢", "Acknowledgement", "AdditionalPaths", "Adjacent", "AfterEval", "AfterNoPrint", "AfterPrint", "Algorithm", "Alignment", "AngleBarList", "Array", "Ascending", "AssociativeExpression", "AtomicInt", "Authors", "AuxiliaryFiles", "Bag", "Bareiss", "Base", "BaseFunction", "BaseRow", "BasicList", "BasisElementLimit", "Bayer", "BeforePrint", "BesselJ", "BesselY", "Beta", "BettiTally", "Binary", "BinaryOperation", "Binomial", "Boolean", "Boxes", "CC", "CC'", "CacheExampleOutput", "CacheTable", "CallLimit", "CatalanConstant", "Caveat", "Center", "Certification", "ChangeMatrix", "CheckDocumentation", "Citation", "ClosestFit", "CodimensionLimit", "CoefficientRing", "Cofactor", "Command", "CompiledFunction", "CompiledFunctionBody", "CompiledFunctionClosure", "Complement", "CompleteIntersection", "ComplexField", "Configuration", "Consequences", "Constant", "Constants", "Contributors", "Database", "Date", "DebuggingMode", "Decompose", "Default", "Degree", "DegreeGroup", "DegreeLift", "DegreeLimit", "DegreeMap", "DegreeOrder", "DegreeRank", "Degrees", "Dense", "Density", "Descending", "Descent", "Describe", "Description", "Dictionary", "Digamma", "DirectSum", "Dispatch", "Divide", "DivideConquer", "DocumentTag", "Down", "Dynamic", "EXAMPLE", "Eliminate", "Email", "End", "Engine", "EngineRing", "Equation", "EulerConstant", "ExampleFiles", "Exclude", "Expression", "Ext", "Fano", "FastNonminimal", "File", "FileName", "FilePosition", "FindOne", "First", "FlatMonoid", "Flexible", "FollowLinks", "Format", "FractionField", "Function", "FunctionApplication", "FunctionBody", "FunctionClosure", "GBDegrees", "GCstats", "GF", "GLex", "GRevLex", "GaloisField", "Gamma", "GeneralOrderedMonoid", "GenerateAssertions", "Generic", "Global", "GlobalAssignHook", "GlobalDictionary", "GlobalHookStore", "GlobalReleaseHook", "Grassmannian", "GroebnerBasis", "GroebnerBasisOptions", "GroupLex", "GroupRevLex", "HH", "HardDegreeLimit", "HashTable", "HeaderType", "Heading", "Headline", "Heft", "Height", "Hermitian", "Hilbert", "Holder", "Hom", "HomePage", "Homogeneous", "Homogeneous2", "HorizontalSpace", "Ideal", "IgnoreExampleErrors", "ImmutableType", "IndeterminateNumber", "IndexedVariable", "IndexedVariableTable", "InexactField", "InexactFieldFamily", "InexactNumber", "InexactNumber'", "InfiniteNumber", "InfoDirSection", "Inhomogeneous", "Inputs", "InstallPrefix", "Intersection", "InverseMethod", "Inverses", "Invertible", "Iterate", "Iterator", "Jacobian", "Join", "KeepFiles", "KeepZeroes", "Key", "Keyword", "Keywords", "LUdecomposition", "Layout", "Left", "LengthLimit", "Lex", "Limit", "Linear", "LinearAlgebra", "List", "LoadDocumentation", "Local", "LocalDictionary", "LongPolynomial", "Maintainer", "MakeDocumentation", "MakeHTML", "MakeInfo", "MakePDF", "Manipulator", "MapExpression", "Matrix", "MatrixExpression", "MaxReductionCount", "MaximalRank", "MethodFunction", "MethodFunctionBinary", "MethodFunctionSingle", "MethodFunctionWithOptions", "MinimalGenerators", "MinimalMatrix", "Minimize", "MinimumVersion", "Minus", "Module", "Monoid", "MonoidElement", "Monomial", "MonomialIdeal", "MonomialOrder", "MonomialSize", "Monomials", "MultigradedBettiTally", "MutableHashTable", "MutableList", "MutableMatrix", "midpoint", "NCLex", "Name", "Net", "NetFile", "NewFromMethod", "NewMethod", "NewOfFromMethod", "NewOfMethod", "NoPrint", "Nothing", "Number", "NumberedVerticalList", "OneExpression", "Option", "OptionTable", "OptionalComponentsPresent", "Options", "Order", "OrderedMonoid", "Outputs", "POSIX", "Package", "PackageDictionary", "PackageExports", "PackageImports", "PairLimit", "PairsRemaining", "ParallelizeByDegree", "ParallelF4", "Parenthesize", "Partition", "PolynomialRing", "Position", "Postfix", "Power", "Precision", "Prefix", "PrimaryTag", "PrimitiveElement", "Print", "Product", "ProductOrder", "Projective", "ProjectiveHilbertPolynomial", "Program", "ProgramRun", "Prune", "Pseudocode", "PseudocodeClosure", "QQ", "QRDecomposition", "Quotient", "QuotientRing", "RR", "RR'", "RRi", "RRi'", "RaiseError", "Range", "RealField", "Reduce", "References", "Reload", "RemakeAllDocumentation", "RerunExamples", "Result", "RevLex", "Reverse", "Right", "Ring", "RingElement", "RingFamily", "RingMap", "RowExpression", "RunDirectory", "RunExamples", "right", "SPACE", "SVD", "SYNOPSIS", "Schubert", "ScriptedFunctor", "SeeAlso", "SelfInitializingType", "SeparateExec", "Sequence", "Set", "SizeLimit", "SkewCommutative", "Sort", "SortStrategy", "SourceCode", "SourceRing", "SparseMonomialVectorExpression", "SparseVectorExpression", "Standard", "StopBeforeComputation", "StopIteration", "StopWithMinimalGenerators", "Strategy", "Strict", "String", "Subnodes", "SubringLimit", "Subscript", "Sugarless", "Sum", "Superscript", "Symbol", "SymbolBody", "Syzygies", "SyzygyLimit", "SyzygyMatrix", "SyzygyRows", "TEST", "Table", "Tally", "Task", "TensorProduct", "TeXmacs", "Test", "TestInput", "Thing", "Threads", "Time", "Tor", "Toric", "Torsion", "TotalPairs", "Tries", "Truncate", "Type", "TypicalValue", "URL", "Undo", "Unique", "Unmixed", "Up", "UpdateOnly", "UpperTriangular", "Usage", "UseCachedExampleOutput", "UseHilbertFunction", "UseSyzygies", "UserMode", "Variable", "VariableBaseName", "Variables", "Vector", "VectorExpression", "Verbose", "Verbosity", "Verify", "Version", "VerticalList", "VerticalSpace", "VirtualTally", "VisibleList", "WebApp", "Weights", "WeylAlgebra", "Wrap", "WrapperType", "diameter", "ZZ", "ZeroExpression", "[", "\\", "\\\\", "]", "<|", "|>", "^", "^!", --"^#", "^*", "^**", "^^", "^~", "|_", "_", "_!", --"_#", "_*", "_~", "about", "abs", "accumulate", "acos", "acosh", "acot", "acoth", "addCancelTask", "addDependencyTask", "addEndFunction", "addHook", "addStartTask", "adjoint", "adjoint'", "agm", "alarm", "all", "ambient", "ancestor", "ancestors", "and", "annihilator", "antipode", "any", "append", "applicationDirectory", "apply", "applyKeys", "applyPairs", "applyTable", "applyValues", "apropos", "argument", "ascii", "asin", "asinh", "assert", "atEndOfFile", "atan", "atan2", "atanh", "autoload", "baseFilename", "baseName", "baseRing", "baseRings", "basis", "beginDocumentation", "benchmark", "betti", "between", "binomial", "borel", "break", "breakpoint", "cache", "cacheValue", "cancelTask", "capture", "catch", "ceiling", "centerString", "changeBase", "changeDirectory", "char", "characters", "check", "chi", "class", "clean", "clearAll", "clearEcho", "clearOutput", "close", "closeIn", "closeOut", "code", "codim", "coefficient", "coefficientRing", "coefficients", "cohomology", "coimage", "cokernel", "collectGarbage", "columnAdd", "columnMult", "columnPermute", "columnRankProfile", "columnSwap", "columnate", "combine", "commandInterpreter", "commandLine", "commonRing", "commonest", "comodule", "compareExchange", "complement", "complete", "components", "compose", "compositions", "compress", "concatenate", "cone", "conjugate", "connectionCount", "content", "continue", "contract", "contract'", "copy", "copyDirectory", "copyFile", "copyright", "cos", "cosh", "cot", "coth", "cover", "coverMap", "coverageSummary", "cpuTime", "createTask", "csc", "csch", "currentColumnNumber", "currentDirectory", "currentFileDirectory", "currentFileName", "currentPosition", "currentRowNumber", "currentString", "currentTime", "dd", "debug", "decompose", "deepSplice", "default", "degree", "degreeGroup", "degreeLength", "degrees", "degreesMonoid", "degreesRing", "delete", "demark", "denominator", "depth", "describe", "determinant", "diagonalMatrix", "dictionary", "diff", "diff'", "difference", "dim", "directProduct", "directSum", "disassemble", "dismiss", "divideByVariable", "do", "document", "drop", "dual", "eagonNorthcott", "echoOff", "echoOn", "edit", "eigenvalues", "eigenvectors", "eint", "elapsedTime", "elapsedTiming", "elements", "else", "end", "endPackage", "endl", "entries", "environment", "erase", "erf", "erfc", "error", "euler", "eulers", "even", "examples", "exchange", "exec", "exit", "exp", "expm1", "exponents", "export", "exportFrom", "exportMutable", "expression", "extend", "exteriorPower", "factor", "false", "fileDictionaries", "fileExecutable", "fileExists", "fileLength", "fileMode", "fileReadable", "fileTime", "fileWritable", "fillMatrix", "findFiles", "findHeft", "findProgram", "findSynonyms", "first", "firstkey", "fittingIdeal", "flagLookup", "flatten", "flattenRing", "flip", "floor", "flush", "fold", "for", "forceGB", "fork", "format", "formation", "frac", "fraction", "frames", "from", "functionBody", "gb", "gbRemove", "gbSnapshot", "gcd", "gcdCoefficients", "genera", "generateAssertions", "generator", "generators", "genericMatrix", "genericSkewMatrix", "genericSymmetricMatrix", "genus", "get", "getChangeMatrix", "getGlobalSymbol", "getIOThreadMode", "getNetFile", "getNonUnit", "getPrimeWithRootOfUnity", "getSymbol", "getWWW", "getc", "getenv", "global", "globalAssign", "globalAssignFunction", "globalAssignment", "globalAssignmentHooks", "globalReleaseFunction", "gradedModule", "graphIdeal", "graphRing", "groebnerBasis", "groupID", "hash", "hashTable", "headlines", "heft", "height", "help", "hilbertFunction", "hilbertPolynomial", "hilbertSeries", "hold", "homogenize", "homology", "homomorphism", "homomorphism'", "hooks", "horizontalJoin", "html", "httpHeaders", "hypertext", "id", "ideal", "identity", "if", "ii", "image", "imaginaryPart", "importFrom", "in", "incomparable", "independentSets", "indeterminate", "index", "indexComponents", "indices", "inducedMap", "inducesWellDefinedMap", "infinity", "info", "infoHelp", "input", "insert", "installAssignmentMethod", "installHilbertFunction", "installMethod", "installPackage", "installedPackages", "instance", "instances", "integrate", "intersect", "interval", "inverse", "inverseErf", "inversePermutation", "inverseRegularizedBeta", "inverseRegularizedGamma", "irreducibleCharacteristicSeries", "isANumber", "isAffineRing", "isBorel", "isCanceled", "isCommutative", "isConstant", "isDirectSum", "isDirectory", "isEmpty", "isExact", "isField", "isFinite", "isFinitePrimeField", "isFreeModule", "isGlobalSymbol", "isHomogeneous", "isIdeal", "isInfinite", "isInjective", "isInputFile", "isIsomorphism", "isListener", "isMember", "isModule", "isMonomialIdeal", "isMutable", "isNormal", "isOpen", "isOutputFile", "isPolynomialRing", "isPrime", "isPrimitive", "isPseudoprime", "isQuotientModule", "isQuotientOf", "isQuotientRing", "isReady", "isReal", "isRegularFile", "isRing", "isSkewCommutative", "isSmooth", "isSorted", "isSquareFree", "isSubmodule", "isSubquotient", "isSubset", "isSurjective", "isTable", "isUnit", "isVeryAmple", "isWellDefined", "isWeylAlgebra", "iterator", "jacobian", "join", "kernel", "keys", "kill", "koszul", "last", "lcm", "leadCoefficient", "leadComponent", "leadMonomial", "leadTerm", "left", "length", "lift", "liftable", "limitFiles", "limitProcesses", "lines", "linkFile", "list", "listForm", "listLocalSymbols", "listSymbols", "listUserSymbols", "lngamma", "load", "loadPackage", "loadedFiles", "local", "localDictionaries", "locate", "log", "log1p", "lookup", "lookupCount", "makeDirectory", "makeDocumentTag", "makePackageIndex", "map", "markedGB", "match", "mathML", "matrix", "max", "maxAllowableThreads", "maxPosition", "memoize", "memoizeClear", "memoizeValues", "merge", "mergePairs", "method", "methodOptions", "methods", "min", "minExponent", "maxExponent", "minPosition", "mingens", "mingle", "minimalBetti", "minimalPresentation", "minimalPresentationMap", "minimalPresentationMapInv", "minimize", "minimizeFilename", "minors", "minus", "mkdir", "mod", "module", "modulo", "monoid", "monomialCurveIdeal", "monomialIdeal", "monomialSubideal", "monomials", "moveFile", "multidegree", "multigraded", "mutableIdentity", "mutableMatrix", "nanosleep", "needs", "needsPackage", "net", "netList", "new", "newClass", "newCoordinateSystem", "newNetFile", "newPackage", "newRing", "newline", "next", "nextPrime", "nextkey", "norm", "normalCone", "not", "notImplemented", "null", "nullSpace", "nullaryMethods", "nullhomotopy", "numColumns", "numRows", "number", "numerator", "numeric", "numericInterval", "numgens", "odd", "of", "ofClass", "on", "openDatabase", "openDatabaseOut", "openFiles", "openIn", "openInOut", "openListener", "openOut", "openOutAppend", "operatorAttributes", "options", "or", "order", "override", "pack", "package", "pad", "pager", "pairs", "parallelApply", "parent", "part", "partition", "partitions", "parts", "pdim", "peek", "peek'", "permanents", "permutations", "pfaffians", "pi", "pivots", "plus", "poincare", "poincareN", "polarize", "position", "positions", "power", "powermod", "precision", "preimage", "prepend", "presentation", "pretty", "print", "printerr", "printString", "printingTimeLimit", "processID", "product", "profile", "profileSummary", "projectiveHilbertPolynomial", "programPaths", "promote", "protect", "prune", "pruningMap", "pseudoRemainder", "pseudocode", "pullback", "pullbackMaps", "pushForward", "pushout", "pushoutMaps", "quit", "quotient", "quotient'", "quotientRemainder", "quotientRemainder'", "random", "randomKRationalPoint", "randomMutableMatrix", "randomSubset", "rank", "rays", "read", "readDirectory", "readPackage", "readlink", "realPart", "realpath", "recursionDepth", "reducedRowEchelonForm", "reduceHilbert", "regex", "regexQuote", "registerFinalizer", "regularity", "regularizedBeta", "regularizedGamma", "relations", "relativizeFilename", "remainder", "remainder'", "remove", "removeDirectory", "removeFile", "reorganize", "replace", "reshape", "restart", "return", "returnCode", "reverse", "ring", "rootPath", "rootURI", "roots", "rotate", "round", "rowAdd", "rowMult", "rowPermute", "rowRankProfile", "rowSwap", "rsort", "run", "runHooks", "runLengthEncode", "runProgram", "same", "saturate", "scan", "scanKeys", "scanLines", "scanPairs", "scanValues", "schedule", "schreyerOrder", "searchPath", "Body", "sec", "sech", "seeParsing", "select", "selectInSubring", "selectKeys", "selectPairs", "selectValues", "selectVariables", "separate", "separateRegexp", "sequence", "serialNumber", "set", "setEcho", "setGroupID", "setIOExclusive", "setIOSynchronized", "setIOUnSynchronized", "setRandomSeed", "setup", "setupEmacs", "setupLift", "setupPromote", "shield", "show", "showClassStructure", "showHtml", "showStructure", "showTex", "showUserStructure", "sign", "sin", "singularLocus", "sinh", "size", "size2", "sleep", "smithNormalForm", "solve", "someTerms", "sort", "sortColumns", "source", "span", "splice", "splitWWW", "sqrt", "stack", "stacktrace", "standardForm", "standardPairs", "stashValue", "status", "stderr", "stdio", "step", "store", "sublists", "submatrix", "submatrix'", "submatrixByDegrees", "subquotient", "subscript", "subsets", "substitute", "substring", "subtable", "sum", "super", "superscript", "support", "switch", "symbol", "symbolBody", "symlinkDirectory", "symlinkFile", "symmetricAlgebra", "symmetricPower", "synonym", "syz", "table", "take", "tally", "tan", "tanh", "target", "taskResult", "temporaryFileName", "tensor", "tensorAssociativity", "terms", "tests", "tex", "texMath", "then", "threadLocal", "throw", "time", "times", "timing", "to", "toAbsolutePath", "toCC", "toExternalString", "toField", "toList", "toLower", "toRR", "toRRi", "toSequence", "toString", "toUpper", "topCoefficients", "trace", "transpose", "trim", "true", "truncate", "truncateOutput", "try", "tutorial", "typicalValues", "uniquePermutations", "ultimate", "unbag", "uncurry", "undocumented", "uniform", "uninstallAllPackages", "uninstallPackage", "union", "unique", "unsequence", "unstack", "urlEncode", "use", "userSymbols", "utf8", "utf8check", "utf8substring", "value", "values", "vars", "vector", "version", "viewHelp", "wait", "wedgeProduct", "weightRange", "when", "while", "width", "wrap", "xor", "youngest", "zero", "zeta", "{", "|", "|-", "||", "}", "~" } export \\ toString \ toList augmentedAssignmentOperators export { -- synonyms: "ann" => "annihilator", "coker" => "cokernel", "det" => "determinant", "gens" => "generators", "intersection" => "intersect", "ker" => "kernel", "member" => "isMember", "minPres" => "minimalPresentation", "mutable" => "isMutable", "numcols" => "numColumns", "numrows" => "numRows", "sub" => "substitute", "threadVariable" => "threadLocal", -- TODO: eventually remove this? -- unicode synonyms: "ℚ" => "QQ", "ℝ" => "RR", "ℤ" => "ZZ", "ℂ" => "CC", "∞" => "infinity", "⊗" => "**", "←" => "<-", "→" => "->", "⇒" => "=>", "≠" => "!=", "⊕" => "++", "≪" => "<<", "≫" => ">>", "∀" => "all", "∃" => "any", "∈" => "isMember", "∏" => "product", "∑" => "sum", "√" => "sqrt", "∧" => "and", "∨" => "or", "∫" => "integrate", "≤" => "<=", "≥" => ">=", "⊢" => "|-" } exportMutable { "HomologicalAlgebraPackage", "OutputDictionary", "allowableThreads", "applicationDirectorySuffix", "backtrace", "blockMatrixForm", "compactMatrixForm", "current", "currentLayout", "currentPackage", "debugError", "debugLevel", "debuggingMode", "defaultPrecision", "dictionaryPath", "engineDebugLevel", "errorDepth", "fileExitHooks", "gbTrace", "handleInterrupts", "homeDirectory", "interpreterDepth", "lastMatch", "lineNumber", "loadDepth", "loadedPackages", "notify", "numTBBThreads", "oo", "ooo", "oooo", "path", "prefixDirectory", "prefixPath", "printWidth", "printingAccuracy", "printingLeadLimit", "printingPrecision", "printingSeparator", "printingTrailLimit", "recursionLimit", "scriptCommandLine", "stopIfError", "topLevelMode" } -- Local Variables: -- compile-command: "make -C $M2BUILDDIR/Macaulay2/m2 " -- End: