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A
AbelianBasis ( grp^abl ) -> seq(), seq()
AbelianExtension ( map() ) -> fld^abl
AbelianExtension ( map(), elt-ids^int/ord^num ) -> fld^abl
AbelianExtension ( map(), elt-ids^int/ord^num, seq(elt-ord^rat) ) -> fld^abl
AbelianGroup ( grp^abl ) -> grp^abl, map()
AbelianGroup ( seq(elt-ord^rat) ) -> grp^abl
Abelian Groups
AbelianInvariants ( grp^abl ) -> seq()
abl
Abs ( elt-alg^pol ) -> elt-alg^pol
Abs ( elt-fld^com ) -> elt-fld^rea
Abs ( elt-fld^rat ) -> elt-fld^rat
Abs ( elt-fld^rea ) -> elt-fld^rea
Abs ( elt-ord^inf ) -> elt-ord^inf
Abs ( elt-ord^rat ) -> elt-ord^rat
AbsoluteCharacteristicPolynomial ( elt-fld^fra ) -> elt-alg^pol
AbsoluteCharacteristicPolynomial ( elt-ord^num ) -> elt-alg^pol
AbsoluteDegree ( fld^abl ) -> elt-ord^rat
AbsoluteDegree ( fld^fra ) -> elt-ord^rat
AbsoluteDegree ( fld^fun ) -> elt-ord^rat
AbsoluteDegree ( ord^fun ) -> elt-ord^rat
AbsoluteDegree ( ord^num ) -> elt-ord^rat
AbsoluteField ( fld^fra ) -> fld^fra
AbsoluteField ( fld^num ) -> fld^num
AbsoluteFunctionField ( fld^fun ) -> fld^fun
AbsoluteLogarithmicHeight ( elt-fld^fra ) -> elt-fld^rea
AbsoluteLogarithmicHeight ( elt-ord^num ) -> elt-fld^rea
AbsoluteMinimalPolynomial ( elt-fld^fra ) -> elt-alg^pol
AbsoluteMinimalPolynomial ( elt-ord^num ) -> elt-alg^pol
AbsoluteNorm ( elt-fld^fin ) -> elt-fld^fin
AbsoluteNorm ( elt-fld^fra ) -> elt-fld^rat
AbsoluteNorm ( elt-ids^fra/ord^num ) -> elt-fld^rat
AbsoluteNorm ( elt-ids^int/ord^num ) -> elt-ord^rat
AbsoluteNorm ( elt-ord^num ) -> elt-fld^rat
AbsoluteOrder ( ord^fun ) -> ord^fun
AbsoluteOrder ( ord^num ) -> ord^num
AbsolutePrecision ( elt-fld^pad ) -> elt-ord^rat
AbsolutePrecision ( elt-ord^pad ) -> elt-ord^rat
AbsolutePrecision ( elt-res^pad ) -> elt-ord^rat
AbsoluteRepresentationMatrix ( elt-fld^fra ) -> elt-alg^mat
AbsoluteRepresentationMatrix ( elt-ord^num ) -> elt-alg^mat
AbsoluteTrace ( elt-fld^fin ) -> elt-fld^fin
AbsoluteTrace ( elt-fld^fra ) -> elt-fld^rat
AbsoluteTrace ( elt-ord^num ) -> elt-fld^rat
AbsoluteValue ( elt-alg^pol ) -> elt-alg^pol
AbsoluteValue ( elt-fld^com ) -> elt-fld^rea
AbsoluteValue ( elt-fld^rat ) -> elt-fld^rat
AbsoluteValue ( elt-fld^rea ) -> elt-fld^rea
AbsoluteValue ( elt-ord^inf ) -> elt-ord^inf
AbsoluteValue ( elt-ord^rat ) -> elt-ord^rat
AbsoluteValues ( elt-fld^fra ) -> seq()
AbsoluteValues ( elt-ord^num ) -> seq()
Accessing GAP groups/objects
Add ( alist, any, any ) -> alist
Add ( list, any ) -> list
Add ( seq(), any ) -> seq()
Add ( string, char ) -> string
AddAssoc ( alist, any, any ) -> alist
AddAssoc ( alist, list ) -> alist
AddAssoc_ ( alist, any, any )
AddAssoc_ ( alist, list )
AddColumn ( elt-alg^mat, elt-rng, elt-ord^rat, elt-ord^rat ) -> elt-alg^mat
AddColumn_ ( elt-alg^mat, elt-rng, elt-ord^rat, elt-ord^rat )
AdditiveGroup ( fld^fin ) -> grp^abl, map()
AdditiveGroup ( ord^rat ) -> grp^abl, map()
AdditiveGroup ( res^pad ) -> grp^abl, map()
AdditiveGroup ( res^rat ) -> grp^abl, map()
AddRelation ( elt-ord^num ) -> elt-alg^boo
AddRow ( elt-alg^mat, elt-rng, elt-ord^rat, elt-ord^rat ) -> elt-alg^mat
AddRow_ ( elt-alg^mat, elt-rng, elt-ord^rat, elt-ord^rat )
Add_ ( alist, any, any )
Add_ ( list, any )
Add_ ( seq(), any ) -> seq()
Add_ ( string, char ) -> string
Adjoint ( elt-alg^mat ) -> elt-alg^mat
alg
Algebraic Structures
alg^boo
alg^mat
alg^pol
Alist -> alist
Alist ( nof(list) ) -> alist
AlistKeys ( alist ) -> list
AlistValues ( alist ) -> list
AllFaces ( newtgon ) -> seq()
AllIrreduciblePolynomials ( fld^fin, elt-ord^rat ) -> seq()
AllRoots ( elt-fld^fin, elt-ord^rat ) -> seq()
AllSqrts ( elt-res^rat ) -> seq()
AllSquareRoots ( elt-res^rat ) -> seq()
AllVertices ( newtgon ) -> seq()
AlternatingSum ( map(), elt-ord^rat ) -> elt-fld^rea
elt-alg^boo
and
elt-alg^boo -> elt-alg^boo
And ( seq(elt-alg^boo) ) -> elt-alg^boo
And ( seq(elt-alg^boo), seq(elt-alg^boo) ) -> seq()
And_ ( seq(), seq(elt-alg^boo) )
AntisymmetricMatrix ( rng, seq() ) -> elt-alg^mat
AntisymmetricMatrix ( seq() ) -> elt-alg^mat
any
Append ( list, list ) -> list
Append ( seq(), seq() ) -> seq()
Append ( string, string ) -> string
AppendTo ( string, nof() )
Append_ ( list, list )
Append_ ( seq(), seq() )
Append_ ( string, string )
Apply ( alist, func ) -> alist
Apply ( func, alist ) -> alist
Apply ( func, list ) -> list
Apply ( list, func ) -> list
Apply_ ( alist, func )
Apply_ ( func, alist )
Apply_ ( func, list )
Apply_ ( list, func )
Arccos ( elt-fld^com ) -> elt-fld^com
Arccos ( elt-fld^rea ) -> elt-fld^rea
Arccos ( elt-rng^ser/fld^com ) -> elt-rng^ser
Arccos ( elt-rng^ser/fld^rea ) -> elt-rng^ser
Arccosec ( elt-fld^rea ) -> elt-fld^rea
Arccot ( elt-fld^rea ) -> elt-fld^rea
Arcsec ( elt-fld^rea ) -> elt-fld^rea
Arcsin ( elt-fld^com ) -> elt-fld^com
Arcsin ( elt-fld^rea ) -> elt-fld^rea
Arcsin ( elt-rng^ser ) -> elt-rng^ser
Arctan ( elt-fld^com ) -> elt-fld^com
Arctan ( elt-fld^rea ) -> elt-fld^rea
Arctan ( elt-fld^rea, elt-fld^rea ) -> elt-fld^rea
Arctan ( elt-rng^ser ) -> elt-rng^ser
arg
Arg ( elt-fld^com ) -> elt-fld^rea
Argcosech ( elt-fld^rea ) -> elt-fld^rea
Argcosh ( elt-fld^com ) -> elt-fld^com
Argcosh ( elt-fld^rea ) -> elt-fld^rea
Argcosh ( elt-rng^ser/fld^com ) -> elt-rng^ser
Argcosh ( elt-rng^ser/fld^rea ) -> elt-rng^ser
Argcoth ( elt-fld^rea ) -> elt-fld^rea
Argsech ( elt-fld^rea ) -> elt-fld^rea
Argsinh ( elt-fld^com ) -> elt-fld^com
Argsinh ( elt-fld^rea ) -> elt-fld^rea
Argsinh ( elt-rng^ser ) -> elt-rng^ser
Argtanh ( elt-fld^com ) -> elt-fld^com
Argtanh ( elt-fld^rea ) -> elt-fld^rea
Argtanh ( elt-rng^ser ) -> elt-rng^ser
Argument ( elt-fld^com ) -> elt-fld^rea
ASCII ( char ) -> elt-ord^rat
AssignNames_ ( alg^pol, seq(string) )
AssignNames_ ( elt-alg^pol, seq(string) )
AssignNames_ ( elt-dvs/fld^fun, seq(string) )
AssignNames_ ( elt-fld^fun, seq(string) )
AssignNames_ ( elt-fld^pol, seq(string) )
AssignNames_ ( elt-pls/fld^fun, seq(string) )
AssignNames_ ( elt-res^pol, seq(string) )
AssignNames_ ( elt-rng^ser, seq(string) )
AssignNames_ ( fld^com, seq(string) )
AssignNames_ ( fld^fin, seq(string) )
AssignNames_ ( fld^fra, seq(string) )
AssignNames_ ( fld^fun, seq(string) )
AssignNames_ ( fld^num, seq(string) )
AssignNames_ ( fld^pad, seq(string) )
AssignNames_ ( grp^abl, seq(string) )
AssignNames_ ( ord^pad, seq(string) )
AssignNames_ ( res^pad, seq(string) )
AssignNames_ ( res^pol, seq(string) )
AssignNames_ ( rng, seq(string) )
AssignNames_ ( rng^ser, seq(string) )
Assoc ( alist, any ) -> any
AUTO ( any )
Automorphisms ( fld^fra ) -> elt-alg^boo
Built: Mon Nov 14 21:15:56 UTC 2005 on mack
The KANT Group