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<A NAME=preducet> <TITLE>preducet</TITLE></A> <b><a href=r37_idx.html>INDEX</a></b><p><p> <B>PREDUCET</B> _ _ _ _ _ _ _ _ _ _ _ _ <B>operator</B><P> <P> <P> <H3> syntax: </H3> <P> <P> <em>preduce</em>(<p>,{<v>=<exp>...}) <P> <P> <P> where <p> is an expression, <v> are kernels (simple or indexed variables), <em>exp</em> are polynomials. <P> <P> <em>preducet</em>computes the remainder of <p> modulo {<exp>,...} similar to <A HREF=r37_0386.html>preduce</A>, but the result is an equation which expresses the remainder as combination of the polynomials. <P> <H3> example: </H3> <P><PRE><TT> GB2 := {G1=2*X - Y + 1,G2=9*Y**2 - 2*Y - 199} preducet(q=x**2,gb2); - 16*Y + 208= - 18*X*G1 - 9*Y*G1 + 36*Q + 9*G1 - G2 </TT></PRE><P><P> <P>