Index

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Inst. f. Mathematik

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Algebra und Zahlentheorie

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KASH³ Index

other A B C D E F G H I J K L M N O P Q R S T U V W X Z

R

RadicalExtension ( rng, elt-ord^rat, elt-rng ) -> fld^fra

RamificationDegree ( elt-ids^int/ord^fun ) -> elt-ord^rat

RamificationDegree ( elt-ids^int/ord^num ) -> elt-ord^rat

RamificationDegree ( elt-ids^int/ord^num, elt-ord^rat ) -> elt-ord^rat

RamificationDegree ( elt-pls/fld^fun ) -> elt-ord^rat

RamificationDegree ( fld^pad ) -> elt-ord^rat

RamificationDegree ( fld^pad, fld^pad ) -> elt-ord^rat

RamificationDegree ( ord^pad ) -> elt-ord^rat

RamificationDegree ( ord^pad, ord^pad ) -> elt-ord^rat

RamificationDegree ( ord^pow ) -> elt-ord^rat

RamificationDegree ( res^pad ) -> elt-ord^rat

RamificationDegree ( res^pad, res^pad ) -> elt-ord^rat

RamificationDegree ( res^pow ) -> elt-ord^rat

RamificationDivisor ( elt-dvs/fld^fun ) -> elt-dvs/fld^fun

RamificationDivisor ( fld^fun ) -> elt-dvs/fld^fun

RamificationIndex ( elt-ids^int/ord^fun ) -> elt-ord^rat

RamificationIndex ( elt-ids^int/ord^num ) -> elt-ord^rat

RamificationIndex ( elt-ids^int/ord^num, elt-ord^rat ) -> elt-ord^rat

RamificationIndex ( elt-pls/fld^fun ) -> elt-ord^rat

RamificationIndex ( fld^pad ) -> elt-ord^rat

RamificationIndex ( fld^pad, fld^pad ) -> elt-ord^rat

RamificationIndex ( ord^pad ) -> elt-ord^rat

RamificationIndex ( ord^pad, ord^pad ) -> elt-ord^rat

RamificationIndex ( res^pad ) -> elt-ord^rat

RamificationIndex ( res^pad, res^pad ) -> elt-ord^rat

Ranbig ( elt-ord^rat ) -> elt-ord^rat

Random ( alg^boo ) -> elt-alg^boo

Random ( elt-ids^fra/ord^num, elt-ord^rat ) -> elt-rng

Random ( elt-ord^rat ) -> elt-ord^rat

Random ( elt-ord^rat, elt-ord^rat ) -> elt-ord^rat

Random ( fld^fin ) -> elt-fld^fin

Random ( fld^fra, elt-ord^rat ) -> elt-rng

Random ( fld^fun, elt-ord^rat ) -> elt-fld^fun

Random ( grp^abl ) -> elt-grp^abl

Random ( grp^abl, elt-ord^rat ) -> elt-grp^abl

Random ( mdl ) -> elt-mdl

Random ( mdl^mat ) -> elt-mdl^mat

Random ( mdl^vec ) -> elt-mdl^vec

Random ( ord^fun, elt-ord^rat ) -> elt-ord^fun

Random ( ord^num, elt-ord^rat ) -> elt-ord^num

Random ( ord^pad ) -> ord^pad

Random ( res^pad ) -> elt-res^pad

Random ( res^rat ) -> elt-res^rat

Random ( seq() ) -> any

RandomBits ( elt-ord^rat ) -> elt-ord^rat

RandomBytes ( elt-ord^rat ) -> string

RandomConsecutiveBits ( elt-ord^rat, elt-ord^rat, elt-ord^rat ) -> elt-ord^rat

RandomPartition ( elt-ord^rat ) -> seq()

RandomPlace ( fld^fun, elt-ord^rat ) -> elt-alg^boo, elt-pls/fld^fun

RandomPoint ( grp^ell ) -> elt-grp^ell

RandomPointWithInf ( grp^ell ) -> elt-grp^ell

RandomPrime ( elt-ord^rat ) -> elt-ord^rat

RandomPrime ( elt-ord^rat, elt-ord^rat, elt-ord^rat, elt-ord^rat ) -> elt-alg^boo, elt-ord^rat

RandomPrimePolynomial ( alg^pol, elt-ord^rat ) -> elt-alg^pol

Rank ( alg^pol ) -> elt-ord^rat

Rank ( elt-alg^mat ) -> elt-ord^rat

Rank ( elt-alg^mat/ord^pow ) -> elt-ord^rat

Rank ( elt-alg^mat/res^pow ) -> elt-ord^rat

Rank ( fld^pol ) -> elt-ord^rat

Rank ( mdl ) -> elt-ord^rat

Rank ( mdl^mat ) -> elt-ord^rat

Rank ( mdl^vec ) -> elt-ord^rat

Rassoc ( alist, any ) -> any

RationalExtensionRepresentation ( fld^fun ) -> fld^fun

RationalField -> fld^rat

RationalForm ( elt-alg^mat ) -> elt-alg^mat, elt-alg^mat, seq()

RationalFunction ( elt-fld^fun ) -> elt-rng

RationalFunction ( elt-fld^fun, rng ) -> elt-rng

RationalFunctionField ( rng ) -> fld^pol

RationalFunctionField ( rng, elt-ord^rat ) -> fld^pol

RationalReconstruction ( elt-alg^mat ) -> elt-alg^mat

RationalReconstruction ( elt-alg^pol, elt-alg^pol, elt-ord^rat, elt-ord^rat ) -> elt-alg^boo, elt-alg^pol, elt-alg^pol

RationalReconstruction ( elt-fld^fin ) -> elt-alg^boo, elt-fld^rat

RationalReconstruction ( elt-mdl ) -> elt-mdl

RationalReconstruction ( elt-mdl^mat ) -> elt-mdl^mat

RationalReconstruction ( elt-mdl^vec ) -> elt-mdl^vec

RationalReconstruction ( elt-res^pol ) -> elt-alg^boo, elt-fld^pol

RationalReconstruction ( elt-res^rat ) -> elt-alg^boo, elt-fld^rat

Rationals -> fld^rat

RayClassField ( map() ) -> fld^abl

RayClassField ( map(), elt-ids^int/ord^num ) -> fld^abl

RayClassField ( map(), elt-ids^int/ord^num, seq(elt-ord^rat) ) -> fld^abl

RayClassGroup ( elt-ids^int/ord^num ) -> grp^abl, map()

RayClassGroup ( elt-ids^int/ord^num, seq(elt-ord^rat) ) -> grp^abl, map()

RayResidueRing ( elt-ids^int/ord^num ) -> grp^abl, map()

RayResidueRing ( elt-ids^int/ord^num, seq(elt-ord^rat) ) -> grp^abl, map()

Re ( elt-fld^com ) -> elt-fld^rea

Read ( string )

ReadKeyboardShy -> string

ReadKeyboardShy ( string ) -> string

ReadLib ( string )

ReadString ( string ) -> string

Real ( elt-fld^com ) -> elt-fld^rea

RealField -> fld^rea

RealField ( elt-ord^rat ) -> fld^rea

RealField ( fld^com ) -> fld^rea

RealRoots ( elt-alg^pol, rng, elt-rng ) -> seq()

Reals and Complex

Realtime -> elt-fld^rea

Realtime ( elt-fld^rea ) -> elt-fld^rea

rec ( nof(any) ) -> record

RecFields ( record ) -> list

Records and Extended Objects

ReducedDiscriminant ( elt-alg^pol ) -> elt-rng

ReducedDiscriminant ( fld^fra ) -> elt-ord^rat

ReducedDiscriminant ( ord^num ) -> elt-ord^rat

Reduction ( elt-dvs/fld^fun ) -> elt-dvs/fld^fun, elt-ord^rat, elt-dvs/fld^fun, elt-fld^fun

Reduction ( elt-dvs/fld^fun, elt-dvs/fld^fun ) -> elt-dvs/fld^fun, elt-ord^rat, elt-dvs/fld^fun, elt-fld^fun

Regexp ( string, string ) -> elt-alg^boo, string, seq()

Regulator ( fld^num ) -> elt-fld^rea

Regulator ( ord^num ) -> elt-fld^rea

RegulatorLowerBound ( fld^num ) -> elt-fld^rea

RegulatorLowerBound ( ord^num ) -> elt-fld^rea

RelationMatrix ( fld^num, elt-ord^rat ) -> elt-mdl^mat

RelationMatrix ( ord^num ) -> elt-mdl^mat

RelationMatrix ( ord^num, elt-ord^rat ) -> elt-mdl^mat

Relations ( grp^abl ) -> seq()

Relations ( ord^num ) -> elt-mdl^mat

Relations ( seq(elt-dif/fld^fun), rng, elt-ord^rat ) -> mdl^vec

Relations ( seq(elt-fld^fun), rng, elt-ord^rat ) -> mdl^vec

Relations ( seq(elt-fld^pol), rng, elt-ord^rat ) -> mdl^vec

RelativeField ( fld^fra, fld^fra ) -> fld^fra

RelativeField ( fld^rat, fld^fra ) -> fld^fra

RelativePrecision ( elt-fld^pad ) -> elt-ord^rat

RelativePrecision ( elt-fld^rea ) -> elt-ord^rat

RelativePrecision ( elt-ord^pad ) -> elt-ord^rat

RelativePrecision ( elt-res^pad ) -> elt-ord^rat

RelativePrecision ( elt-rng^ser ) -> elt-ord^rat

RemAssoc ( alist, any ) -> alist

RemAssoc_ ( alist, any )

Remove ( alist, any ) -> alist

Remove ( list, elt-ord^rat ) -> list

Remove ( seq(), elt-ord^rat ) -> seq()

RemoveColumn ( elt-alg^mat, elt-ord^rat ) -> elt-alg^mat

RemoveColumn_ ( elt-alg^mat, elt-ord^rat )

RemoveRow ( elt-alg^mat, elt-ord^rat ) -> elt-alg^mat

RemoveRowColumn ( elt-alg^mat, elt-ord^rat, elt-ord^rat ) -> elt-alg^mat

RemoveRowColumn_ ( elt-alg^mat, elt-ord^rat, elt-ord^rat )

RemoveRow_ ( elt-alg^mat, elt-ord^rat )

Remove_ ( alist, any )

Remove_ ( list, elt-ord^rat )

Remove_ ( seq(), elt-ord^rat )

Replace ( string, string, string ) -> string

Replace_ ( string, string, string )

RepresentationMatrix ( elt-fld^fra ) -> elt-alg^mat

RepresentationMatrix ( elt-fld^fra, rng ) -> elt-alg^mat

RepresentationMatrix ( elt-fld^fun ) -> elt-alg^mat

RepresentationMatrix ( elt-fld^fun, rng ) -> elt-alg^mat

RepresentationMatrix ( elt-ord^fun ) -> elt-alg^mat

RepresentationMatrix ( elt-ord^fun, rng ) -> elt-alg^mat

RepresentationMatrix ( elt-ord^num ) -> elt-alg^mat

RepresentationMatrix ( elt-ord^num, rng ) -> elt-alg^mat

RepresentationMatrix ( elt-res^pol ) -> elt-alg^mat

Residue ( elt-dif/fld^fun, elt-pls/fld^fun ) -> elt-rng

ResidueClassDegree ( elt-ids^int/ord^fun ) -> elt-ord^rat

ResidueClassDegree ( elt-pls/fld^fun ) -> elt-ord^rat

ResidueClassField ( elt-ids^int/ord^fun ) -> rng, map()

ResidueClassField ( elt-ids^int/ord^num ) -> fld^fin, map()

ResidueClassField ( elt-pls/fld^fun ) -> rng

ResidueClassField ( elt-pls/fld^num ) -> rng

ResidueClassField ( ord^num, elt-ids^int/ord^num ) -> fld^fin, map()

ResidueClassField ( ord^pad ) -> fld^fin, map()

ResidueClassField ( ord^pow ) -> fld^fin

ResidueClassField ( res^pad ) -> fld^fin, map()

ResidueClassField ( res^pow ) -> fld^fin

ResidueClassRing ( elt-ord^rat ) -> res^rat

RestrictField ( mdl, fld^fin ) -> mdl, map()

RestrictField ( mdl^mat/fld, fld^fin ) -> mdl^mat/fld, map()

RestrictField ( mdl^vec/fld, fld^fin ) -> mdl^vec/fld, map()

Resultant ( elt-alg^pol, elt-alg^pol ) -> elt-rng

RetrieveDocumentation ( string ) -> record

Reverse ( elt-rng^ser ) -> elt-rng^ser

Reverse ( list ) -> list

Reverse ( seq() ) -> seq()

Reversed ( list ) -> list

Reverse_ ( seq() )

Reversion ( elt-rng^ser ) -> elt-rng^ser

Reversion ( seq() ) -> seq()

Reversion_ ( seq() )

RiemannRochSpace ( elt-dvs/fld^fun ) -> mdl/fld, map()

Ring ( ids/ord^num ) -> rng

RingOfFractions ( rng ) -> rng

RingOfIntegers -> ord^rat

RingOfIntegers ( elt-ord^rat ) -> res^rat

RingOfIntegers ( fld^fra ) -> ord^num

RingOfIntegers ( fld^pad ) -> ord^pad

RingOfIntegers ( fld^rat ) -> ord^rat

RingOfIntegers ( rng ) -> rng

RingOfIntegers ( seq() ) -> res^rat

RMatrixSpace ( alg^mat, rng ) -> mdl^mat

RMatrixSpace ( mdl, mdl ) -> mdl^mat

RMatrixSpace ( rng, elt-ord^rat, elt-ord^rat ) -> mdl^mat

RMatrixSpaceWithBasis ( seq(elt-mdl^mat) ) -> mdl^mat

RModuleWithBasis ( seq(elt-mdl/fld) ) -> mdl/fld

Root ( elt-fld^fin, elt-ord^rat ) -> elt-fld^fin

Root ( elt-fld^fra, elt-ord^rat ) -> elt-fld^fra

Root ( elt-fld^pad, elt-ord^rat ) -> elt-fld^pad

Root ( elt-fld^rat, elt-ord^rat ) -> elt-fld^com

Root ( elt-fld^rea, elt-ord^rat ) -> elt-fld^rea

Root ( elt-ids^fra/ord^num, elt-ord^rat ) -> elt-ids^fra/ord^num

Root ( elt-ids^int/ord^fun, elt-ord^rat ) -> elt-ids^int/ord^fun

Root ( elt-ord^num, elt-ord^rat ) -> elt-ord^num

Root ( elt-ord^pad, elt-ord^rat ) -> elt-ord^pad

Root ( elt-ord^rat, elt-ord^rat ) -> elt-fld^com

Root ( elt-res^pad, elt-ord^rat ) -> elt-res^pad

Root ( elt-rng, elt-ord^rat ) -> elt-rng

RootOfUnity ( elt-ord^rat, fld^fin ) -> elt-fld^fin

RootOfUnity ( elt-ord^rat, fld^rat ) -> elt-fld^rat

Roots ( elt-alg^pol ) -> seq()

Roots ( elt-alg^pol, elt-ord^rat ) -> seq()

Roots ( elt-alg^pol, rng ) -> seq()

RootsInSplittingField ( elt-alg^pol ) -> seq(), fld^fin

RootsNonExact ( elt-alg^pol/fld^com ) -> seq(), seq()

RootsNonExact ( elt-alg^pol/fld^rea ) -> seq(), seq()

Rotate ( elt-mdl, elt-ord^rat ) -> elt-mdl

Rotate ( elt-mdl^vec, elt-ord^rat ) -> elt-mdl^vec

Rotate ( seq(), elt-ord^rat ) -> seq()

RotateRows ( elt-alg^mat, elt-ord^rat, elt-ord^rat, elt-ord^rat ) -> elt-alg^mat

RotateRows_ ( elt-alg^mat, elt-ord^rat, elt-ord^rat, elt-ord^rat )

RotateRows_ ( elt-mdl^mat, elt-ord^rat, elt-ord^rat, elt-ord^rat )

Rotate_ ( elt-mdl, elt-ord^rat )

Rotate_ ( elt-mdl^vec, elt-ord^rat )

Rotate_ ( seq(), elt-ord^rat )

Round ( elt-alg^pol ) -> elt-alg^pol

Round ( elt-fld^rat ) -> elt-ord^rat

Round ( elt-fld^rea ) -> elt-ord^rat

Round ( elt-ord^inf ) -> elt-ord^inf

Round ( elt-ord^rat ) -> elt-ord^rat

RowNullSpace ( elt-mdl^mat ) -> mdl^vec

RowSpace ( elt-alg^mat ) -> mdl^vec

Rowspace ( elt-alg^mat ) -> mdl^vec

RowSpace ( elt-mdl^mat ) -> mdl^vec

Rowspace ( elt-mdl^mat ) -> mdl^vec

RowSubmatrix ( elt-alg^mat, elt-ord^rat ) -> elt-alg^mat

RowSubmatrix ( elt-alg^mat, elt-ord^rat, elt-ord^rat ) -> elt-alg^mat

RowSubmatrixRange ( elt-alg^mat, elt-ord^rat, elt-ord^rat ) -> elt-mdl^mat

RSpace ( rng, elt-ord^rat ) -> mdl^vec

RSpace ( rng, elt-ord^rat, elt-alg^mat ) -> mdl^vec

RSpace ( rng, elt-ord^rat, seq() ) -> mdl^vec

RSpace ( rng, seq(elt-rng) ) -> mdl^vec

RSpaceWithBasis ( elt-mdl^mat ) -> mdl^vec

RSpaceWithBasis ( seq(elt-mdl^vec) ) -> mdl^vec

RSpaceWithModuli ( rng, seq(elt-rng) ) -> mdl^vec

RunHookWithArg ( list, any )

Built: Mon Nov 14 21:15:56 UTC 2005 on mack