CoCoA:Eval

From ApCoCoAWiki

Eval

substitute numbers or polynomials for indeterminates

Description

This function substitutes the N-th element of L for the N-th

indeterminate of the current ring for all N less than or equal to the

minimum of the number of indeterminates of the current ring and the number of components of L.

Example

  Use Q[x,y];
  Eval(x^2+y,[2, 3]);
7
-------------------------------
  Eval(x^2+y,[2]);
y + 4
-------------------------------
  F := x(x-1)(x-2)y(y-1)(y-2)/36;
  P := [1/2, -2/3];
  Eval(F, P);
-5/162
-------------------------------
  Eval([x+y,x-y],[2,1]);
[3, 1]
-------------------------------
  Eval([x+y,x-y],[x^2,y^2]);
[x^2 + y^2, x^2 - y^2]
-------------------------------
  Eval([x+y,x-y],[y]);
[2y, 0]
-------------------------------

Syntax

Eval(E:OBJECT,L:LIST):OBJECT

Evaluation of Polynomials

Image

Subst

Substitutions

   <type>polynomial</type>