| #### D.13.6.38 initial Procedure from library `tropical.lib` (see tropical_lib). Usage: initial(f,w); f poly, w intvec or bigintmat initial(I,w); I ideal, w intvec or bigintmat Assume: I reduced Groebner basis, w in the maximal Groebner cone of I with respect to the current ordering Return: poly or ideal, the initial form of f or the initial ideal of I with respect to w Example:
    LIB "tropical.lib";
    ring r = 0,(x,y,z),dp;
    ideal I = cyclic(3);
    intvec w = 1,1,1;
    option(redSB);
    ideal stdI = std(I);
    stdI;
    ==> stdI[1]=x+y+z
    ==> stdI[2]=y2+yz+z2
    ==> stdI[3]=z3-1
    ideal inI = initial(stdI,w);
    inI;
    ==> inI[1]=x+y+z
    ==> inI[2]=y2+yz+z2
    ==> inI[3]=z3

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