Matrix cracking initiation, propagation and laminate failure in multiple plies of general symmetric composite laminates - ScienceDirectA. LaminatesB. Damage toleranceB. Transverse crackingC. Analytical modelingThin-ply compositesThis paper formulates an analytical model based on intrinsic material properties ...
Of course, it is advantageous to prove the nonsingularity of the matrix T of form (1.1) before considering the problem of finding its inverse. A very efficient and reliable algorithm for this purpose is the DETGTRI algorithm given in [3]. To the best of our knowledge, the first complete...
S., and M. Marcus: Symmetric means and matrix inequalities. Proc. Amer. Math. Soc. 12, 285–290 (1961). MathSciNet MATH Google Scholar Mitrinovié, D. S., and P. M. VASIé: Inégalités pour les fonctions symétriques élémentaires. Univ. Beograd. Publ. Elektrotehn. Fak. Ser....
We then notice that these theories satisfy a much stronger condition: the ETQT terms vanish identically when evaluated on the non-stationary spherically symmetric metric! That is, metric of the following form ds2 = −h(t, r)dt2 + 2b(t, r)dtdr + 1 f (t, dr2 r) + r2dΣ2D−2,...
James's submodule theorem for W [The representation theory of the symmetric groups, Lect. Notes Math. 682 (1978; Zbl 0393.20009)] is proved (4.8); this says that if U is a submodule of M λ then either US λ or US λ⊥ (here ⊥ is defined with respect to the form (,)). Now ...
A submodule S F (s,λ) of M F (s,λ) which is analogous to a Specht module of the symmetric group is constructed using certain idempotents in the group algebra. It is shown (7.19) that M F (s,λ) has a "Specht series" in which the subquotients are of the form S F (s,μ...
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where the first d indices are spatial and the second d indices are momentum variables. indices are raised and lowered with the standard symplectic form \(\omega =\left( {\begin{matrix}0 & \mathbb {1}_d \\ -\mathbb {1}_d & 0\end{matrix}}\right) \) and repeated indices are ...
4) generalized anti-bi symmetric matrix 广义双反对称矩阵 5) generalized anti centrosymmetric matrix (广义)反中心对称矩阵 6) general-antisymmetrizable matrix 广义可反对称化矩阵 例句>> 补充资料:反对称波函数 分子式: CAS号: 性质:满足反对称性的波函数。对于电子体系而言,波函数对于电子坐标的交换必须是...
1) general anti-symmetric unitary anti-symmetric matrix 广义反对称酉反对称矩阵1. By applying the properties of general anti-symmetric unitary anti-symmetric matrix and the theory of reflexive inverse of matrix,the sufficient conditions for the existence and the common expressions of general anti-...