| Quellcodebibliothek Statistik Leitseite products/sources/formale Sprachen/GAP/pkg/toolsforhomalg/doc/ (Algebra von RWTH Aachen Version 4.15.1©) Datei vom 2.4.2025 mit Größe 1 kB |
|
Quelle _Chunks.xml Sprache: XML |
|||||||||
|
<#GAPDoc Label="AsZFunctionWithInductiveSides">
<Example><![CDATA[ gap> f := function (i) Print( "Current i is ", i, "\n" ); return i^2; end;; gap> seq := AsZFunction( f ); <ZFunction> gap> seq[ 0 ]; Current i is 0 0 gap> seq[ 0 ]; 0 gap> upper_func := function ( a ) > if a[ 2 ] <> 0 then return [ a[ 2 ], a[ 1 ] mod a[ 2 ] ]; fi; return a; end;; gap> lower_func := IdFunc;; gap> gcd_seq := ZFunctionWithInductiveSides( 0, [ 111, 259 ], > lower_func, upper_func, \= ); <ZFunction> gap> HasStableLowerValue( gcd_seq ); false gap> gcd_seq[ -1 ]; [ 111, 259 ] gap> HasStableLowerValue( gcd_seq ); true gap> StableLowerValue( gcd_seq ); [ 111, 259 ] gap> IndexOfStableLowerValue( gcd_seq ); 0 gap> gcd_seq[ 0 ]; [ 111, 259 ] gap> gcd_seq[ 1 ]; [ 259, 111 ] gap> gcd_seq[ 2 ]; [ 111, 37 ] gap> gcd_seq[ 3 ]; [ 37, 0 ] gap> HasStableUpperValue( gcd_seq ); false gap> gcd_seq[ 4 ]; [ 37, 0 ] gap> HasStableUpperValue( gcd_seq ); true gap> StableUpperValue( gcd_seq ); [ 37, 0 ] gap> IndexOfStableUpperValue( gcd_seq ); 3 gap> sum := ApplyMap( gcd_seq, Sum ); <ZFunction> gap> sum[ 0 ]; 370 gap> sum[ 100 ]; 37 gap> c := CombineZFunctions( [ gcd_seq, sum ] ); <ZFunction> gap> c[ 0 ]; [ [ 111, 259 ], 370 ] ]]></Example> <#/GAPDoc> ¤ Dauer der Verarbeitung: 0.22 Sekunden (vorverarbeitet) ¤*© Formatika GbR, Deutschland |
|
2026-03-28