homogeneous polynomial
A polynomial of degree is called homogeneous if for all constants .
An equivalent definition is that all terms of the polynomial have the same degree (i.e. ).
Observe that a polynomial is homogeneous iff .
As an important example of homogeneous polynomials one can mention the symmetric polynomials.
Title | homogeneous polynomial |
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Canonical name | HomogeneousPolynomial |
Date of creation | 2013-03-22 13:21:11 |
Last modified on | 2013-03-22 13:21:11 |
Owner | jgade (861) |
Last modified by | jgade (861) |
Numerical id | 11 |
Author | jgade (861) |
Entry type | Definition |
Classification | msc 12-00 |