homogeneous polynomial


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Words related to homogeneous polynomial

a polynomial consisting of terms all of the same degree

References in periodicals archive ?
n] be the vector space of homogeneous polynomials on [C.
Equivariant cohomology [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] also has a Schubert basis indexed by Young diagrams, and the equivariant Littlewood-Richardson coefficients are homogeneous polynomials in A = Z[[t.
j] = j(j + n - 1), j [greater than or equal to] 0 and the corresponding eigenfunctions, the so called spherical harmonics, are given as the restriction to the sphere of homogeneous polynomials H([x.
j](u, v) are homogeneous polynomials in (u, v) of degree j,j = 2, 3,.
i,[phi]], where each of the spaces Pi,[phi] contains only homogeneous polynomials of degree i.
A homogeneous polynomial (of degree n) P : A [right arrow] B is said to be orthogonally-additive if P(x + y) = P (x) + P (y) whenever x, y [member of] A are orthogonally (i.
TiSSEUR,Perturbation theory for homogeneous polynomial eigenvalue problems, Linear Algebra Appl.
n]] consisting of homogeneous polynomials P of degree d that are symmetric in [x.
v] be a homogeneous polynomial of degree n, which is solution of (14) (here, the sums runs over sequences of non-negative integers of sum n).
n] converts each polynomial of the constant weight s into a polynomial of the constant weight s - 1 and each homogeneous polynomial of degree d again into a homogeneous polynomial of degree d.
It was shown by Kellogg [2] (see also [4]) that for every homogeneous polynomial of degree m given by [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII]
A homogeneous polynomial [Mathematical Expressions Omitted] is called decomposable if it can be factorized into linear facotrs over some finite extension field G of K.
alpha]](x) is a homogeneous polynomial of degree [absolute value of [alpha]].
p,q](x,z) is a homogeneous polynomial of degree p + 2q except the two cases: [[bar.
1] is a homogeneous polynomial of two variables, problem can be reduced to the two-dimensional case.