#### D.6.4.6 internalfunctions

Procedure from library `classify.lib` (see classify_lib).

Usage:
  internalfunctions();

Return:
  nothing, display names of internal procedures of classify.lib

Example:

    LIB "classify.lib";
    internalfunctions();
    ==>    Internal functions for the classification using Arnold's method,
    ==>    the function numbers correspond to numbers in Arnold's classifier:
    ==> Klassifiziere(poly f);      //determine the type of the singularity f
    ==>   Funktion1bis (poly f, list cstn)
    ==>   Funktion3 (poly f, list cstn)
    ==>   Funktion6 (poly f, list cstn)
    ==>   Funktion13 (poly f, list cstn)
    ==>   Funktion17 (poly f, list cstn)
    ==>   Funktion25 (poly f, list cstn)
    ==>   Funktion40 (poly f, list cstn, int k)
    ==>   Funktion47 (poly f, list cstn)
    ==>   Funktion50 (poly f, list cstn)
    ==>   Funktion58 (poly fin, list cstn)
    ==>   Funktion59 (poly f, list cstn)
    ==>   Funktion66 (poly f, list cstn)
    ==>   Funktion82 (poly f, list cstn)
    ==>   Funktion83 (poly f, list cstn)
    ==>   Funktion91 (poly f, list cstn, int k)
    ==>   Funktion92 (poly f, list cstn, int k)
    ==>   Funktion93 (poly f, list cstn, int k)
    ==>   Funktion94 (poly f, list cstn, int k)
    ==>   Funktion95 (poly f, list cstn, int k)
    ==>   Funktion96 (poly f, list cstn, int k)
    ==>   Funktion97 (poly f, list cstn)
    ==>   Isomorphie_s82_x (poly f, poly fk, int k)
    ==>   Isomorphie_s82_z (poly f, poly fk, int k)
    ==>   Isomorphie_s17 (poly f, poly fk, int k, int ct)
    ==>   printresult (string f,string typ,int Mu,int m,int corank,int K)
    ==>
    ==>    Internal functions for the classifcation by invariants:
    ==>   Cubic (poly f)
    ==>   parity (int e)             //return the parity of e
    ==>   HKclass (intvec i)
    ==>   HKclass3( intvec i, string SG_Typ, int cnt)
    ==>   HKclass3_teil_1 (intvec i, string SG_Typ, int cnt)
    ==>   HKclass5 (intvec i, string SG_Typ, int cnt)
    ==>   HKclass5_teil_1 (intvec i, string SG_Typ, int cnt)
    ==>   HKclass5_teil_2 (intvec i, string SG_Typ, int cnt)
    ==>   HKclass7 (intvec i, string SG_Typ, int cnt)
    ==>   HKclass7_teil_1 (intvec i, string SG_Typ, int cnt)
    ==>
    ==>    Internal functions for the Morse-splitting lemma:
    ==>   Morse(poly fi, int K, int corank)  //splitting lemma itself
    ==>   Coeffs (list #)
    ==>   Coeff
    ==>
    ==>    Internal functions providing tools:
    ==>   ReOrder(poly f)
    ==>   Singularitaet(string typ,int k,int r,int s,poly a,poly b,poly c,poly d)
    ==>   RandomPolyK
    ==>   Faktorisiere(poly f, poly g, int p, int k)   compute g = (ax+by^k)^p
    ==>   Teile(poly f, poly g);             //divides f by g
    ==>   GetRf(poly f, int n);
    ==>   Show(poly f);
    ==>   checkring();
    ==>   DecodeNormalFormString(string s);
    ==>   Setring(int n, string ringname);
    ==>

User manual for Singular version 4.4.1, 2025, generated by texi2html.