1. Toeplitz Matrix 表达多项式 Toeplitz Matrix 的定义在 [1] 中有,2.1 的第一句话。 The Toeplitz matrix is one whose elements on any line parallel to the main diagonal are all equal. 如果Toeplitz Matrix 是一个 lower triangular matrix 的话,它就能表达一个多项式。我尝试用二次型的方式去解释这个...
splines (mathematics)/ matrix algebramatrix representationsB-spline curvesBezier curvehardwaresoftware/ B0290F Interpolation and function approximation (numerical analysis) C4130 Interpolation and function approximation (numerical analysis)The matrix representation for a Bezier curve or arbitrary degree is given...
Diagrammatic representations of: (a) the full quark-gluon vertex,\({\textrm{I}}\!\Gamma _\mu ^a(q,p_2,-p_1)\), defined in Eq. (2.1); (b) the full three-gluon vertex,\({\textrm{I}}\!\Gamma ^{abc}_{\alpha \mu \nu }(q,r,p)\); (c) the fully-dressed gluon propagat...
9 center). In traditional nomenclature this would simply be a general referenceable grid, neglecting the regularity of the spatial axes – thus causing excessive storage and processing overhead in practice, as the more expensive general representations for irregular grids will be used by the system,...
Using that is an orthogonal matrix, we find that also (1.5) are biorthogonal Riesz bases for . By the crucial relation (1.1), the first element of each couple of primal basis functions is divergence-free, and the second element of each couple of dual basis functions is equal to . So ...
2. A method for generating a composite image as set forth in claim 1 including the preliminary steps of: obtaining data from a satellite camera for use in generating digitized representations in electrical signal form of said less-detailed overview image of a relatively large field of view; and...
p2, and we have introduced the factors κa := −ig2 CF − CA 2 , κb := ig2CA , 2 (3.4) where CF and CA denote the eigenvalues of the Casimir oper- ator in the fundamental and adjoint representations, respec- tively [CF = (N 2 − 1)/2N and CA = N for SU(N )]....