# Difference between revisions of "ApCoCoA-1:DA.InitialOfDer"

From ApCoCoAWiki

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<example> | <example> | ||

Use Q[x[1..2,0..20]]; | Use Q[x[1..2,0..20]]; | ||

− | Use Q[x[1..2,0..20]], Ord(DA.DiffTO( | + | Use Q[x[1..2,0..20]], Ord(DA.DiffTO(<quotes>Lex</quotes>)); |

F:=x[1,2]^3x[2,2]^2 + x[1,1]^3x[2,2]^2 + 1/4x[1,2]; | F:=x[1,2]^3x[2,2]^2 + x[1,1]^3x[2,2]^2 + 1/4x[1,2]; |

## Revision as of 13:16, 27 April 2009

## DA.InitialOfDer

Computes the initial wrt. a given derivative.

### Syntax

DA.InitialOfDer(F:POLY, X:INDET):POLY

### Description

DA.InitialOfDer returns the polynomial leading coefficient of polynomial F regarded as polynomial in the derivative X.

@param

*F*A differential polynomial.@param

*X*A indeterminate.@return Initial of F wrt. X.

#### Example

Use Q[x[1..2,0..20]]; Use Q[x[1..2,0..20]], Ord(DA.DiffTO(<quotes>Lex</quotes>)); F:=x[1,2]^3x[2,2]^2 + x[1,1]^3x[2,2]^2 + 1/4x[1,2]; DA.InitialOfDer(F, x[1,2]); ------------------------------- x[2,2]^2 -------------------------------