Difference between revisions of "ApCoCoA-1:Weyl.WMulByMonom"
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<description> | <description> | ||
| + | This function multiplies a Weyl monomial M with a polynomials F and returns M*F as a Weyl polynomial in normal form. | ||
| − | + | <itemize> | |
| + | <item>@param <em>M</em> A Weyl monomial.</item> | ||
| + | <item>@param <em>F</em> A Weyl polynomial.</item> | ||
| + | <item>@return The product M*F, a Weyl polynomial in normal form.</item> | ||
| + | </itemize> | ||
| + | |||
| + | <em>Note:</em> Monomials and polynomials that are not in normal form should be first converted into normal form using <ref>Weyl.WNormalForm</ref>, otherwise you may get unexpected results. | ||
<example> | <example> | ||
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</example> | </example> | ||
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</description> | </description> | ||
<seealso> | <seealso> | ||
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<types> | <types> | ||
<type>cocoaserver</type> | <type>cocoaserver</type> | ||
| + | <type>poly</type> | ||
</types> | </types> | ||
<key>weyl.wmulbymonom</key> | <key>weyl.wmulbymonom</key> | ||
| + | <key>wmulbymonom</key> | ||
<wiki-category>Package_weyl</wiki-category> | <wiki-category>Package_weyl</wiki-category> | ||
</command> | </command> | ||
Revision as of 12:32, 23 April 2009
Weyl.WMulByMonom
Computes the product M*F of Weyl monomial M and a Weyl polynomial F in normal form.
Syntax
Weyl.WMulByMonom(M:POLY,F:POLY):POLY
Description
This function multiplies a Weyl monomial M with a polynomials F and returns M*F as a Weyl polynomial in normal form.
@param M A Weyl monomial.
@param F A Weyl polynomial.
@return The product M*F, a Weyl polynomial in normal form.
Note: Monomials and polynomials that are not in normal form should be first converted into normal form using Weyl.WNormalForm, otherwise you may get unexpected results.
Example
A1::=QQ[x,d]; --Define appropriate ring
Use A1;
M:=x^3d^4; F:=x^3+d^3+3xd+5;
Weyl.WMulByMonom(M,F);
x^6d^4 + x^3d^7 + 3x^4d^5 + 12x^5d^3 + 17x^3d^4 + 36x^4d^2 + 24x^3d
-------------------------------
Weyl.WMulByMonom(F,M); -- note the input
ERROR: 1st parameter should be a Monomial!
CONTEXT: Error("1st parameter should be a Monomial!")
-------------------------------
See also
