# homogeneous polynomial

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## homogeneous polynomial

[‚hä·mə′jē·nē·əs ‚päl·ə′nō·mē·əl]
(mathematics)
A polynomial all of whose terms have the same total degree; equivalently it is a homogenous function of the variables involved.
References in periodicals archive ?
We can therefore reject the hypothesis that students will master inverse demand if they are given enough time; rather surprisingly, they do better with novel homogeneous forms that they've never used.
In the next section we will apply Newton to the homogeneous form of (1.
Suppose we have an approximate eigenvector u [approximate equal to] x of unit length and a corresponding approximate eigenvalue [theta] := [alpha]/[beta] [approximately equal to] [lambda] in homogeneous form, where [alpha]/[beta] is the Rayleigh quotient of u and satisfies
The fact that [alpha]/[beta] is in homogeneous form means that [alpha] and [beta] can still be simultaneously scaled by a nonzero scalar; it is their ratio that matters.

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