Singular Manual: tInitialForm

| #### D.13.6.13 tInitialForm Procedure from library `tropical.lib` (see tropical_lib). Usage: tInitialForm(f,w); f a polynomial, w an integer vector Assume: f is a polynomial in Q[t,x_1,...,x_n] and w=(w_0,w_1,...,w_n) Return: poly, the t-initialform of f(t,x) w.r.t. w evaluated at t=1 Note: the t-initialform is the sum of the terms with MAXIMAL weighted order w.r.t. w Example:
    LIB "tropical.lib";
    ring r=0,(t,x,y),dp;
    poly f=t4x2+y2-t2xy+t4x-t9;
    intvec w=-1,-2,-3;
    tInitialForm(f,w);

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