Results 51 to 60 of about 644 (117)
Self-similarity on 4d cubic lattice [PDF]
Open Communications in Nonlinear Mathematical PhysicsA phenomenon of "algebraic self-similarity" on 3d cubic lattice, providing what can be called an algebraic analogue of Kadanoff--Wilson theory, is shown to possess a 4d version as well. Namely, if there is a $4\times 4$ matrix $A$ whose entries
Igor G. Korepanov
doaj +1 more source
Monotone matrix functions of successive orders [PDF]
, 2004 This paper extends a result obtained by Wigner and von Neumann. We prove that a non-constant real-valued function, f(x), in C^3(I) where I is an interval of the real line, is a monotone matrix function of order n+1 on I if and only if a related, modified
Nayak, Suhas
core
Infant Mental Health Journal: Infancy and Early Childhood, Volume 45, Issue 4, Page 397-410, July 2024.Abstract Whether and how remitted clinical depression in postpartum motherhood contributes to poor infant adaptive functioning is inconclusive. The present longitudinal study examines adaptive functioning in infants of mothers diagnosed as clinically depressed at 5 months but remitted at 15 and 24 months. Fifty‐five U. S.
Marc H. Bornstein +2 more
wiley +1 more source
A note of equivalence classes of matrices over a finite field
International Journal of Mathematics and Mathematical Sciences, Volume 4, Issue 2, Page 279-287, 1981., 1981 Let Fqm×m denote the algebra of m × m matrices over the finite field Fq of q elements, and let Ω denote a group of permutations of Fq. It is well known that each ϕϵΩ can be represented uniquely by a polynomial ϕ(x)ϵFq[x] of degree less than q; thus, the group Ω naturally determines a relation ∼ on Fqm×m as follows: if A,BϵFqm×m then A ~ B if ϕ(A) = B ...
J. V. Brawley, Gary L. Mullen
wiley +1 more source
Inequalities for ranks of matrix expressions involving generalized inverses
Journal of Inequalities and Applications, 2014 In this paper, we present several inequalities for ranks of the matrix expressions D−ABXAB with respect to the choice of X, where X is taken, respectively, as B(1)A(1), B(1,2)A(1,2), B(1,3)A(1,3), B(1,4)A(1,4), B(1,2,3)A(1,2,3) as well as B(1,2,4)A(1,2,4)
Zhiping Xiong
semanticscholar +2 more sources
On relationships between two linear subspaces and two orthogonal projectors
Special Matrices, 2019 Sum and intersection of linear subspaces in a vector space over a field are fundamental operations in linear algebra. The purpose of this survey paper is to give a comprehensive approach to the sums and intersections of two linear subspaces and their ...
Tian Yongge
doaj +1 more source
Permutation matrices and matrix equivalence over a finite field
International Journal of Mathematics and Mathematical Sciences, Volume 4, Issue 3, Page 503-512, 1981., 1980 Let F = GF(q) denote the finite field of order q and Fm×n the ring of m × n matrices over F. Let 𝒫n be the set of all permutation matrices of order n over F so that 𝒫n is ismorphic to Sn. If Ω is a subgroup of 𝒫n and A, BϵFm×n then A is equivalent to B relative to Ω if there exists Pϵ𝒫n such that AP = B.
Gary L. Mullen
wiley +1 more source
On Real Solutions of the Equation Φ\u3csup\u3e\u3cem\u3et\u3c/em\u3e\u3c/sup\u3e (\u3cem\u3eA\u3c/em\u3e) = 1/\u3cem\u3en\u3c/em\u3e J\u3csub\u3e\u3cem\u3en\u3c/em\u3e\u3c/sub\u3e [PDF]
, 2001 For a class of n × n-matrices, we get related real solutions to the matrix equation Φt (A) = 1/n Jn by generalizing the approach of and applying the results of Zhang, Yang, and Cao [SIAM J. Matrix Anal. Appl., 21 (1999), pp. 642–645].
Chen, Yuming
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Equivalence classes of matrices over a finite field
International Journal of Mathematics and Mathematical Sciences, Volume 2, Issue 3, Page 487-491, 1979., 1979 Let Fq = GF(q) denote the finite field of order q and F(m, q) the ring of m × m matrices over Fq. Let Ω be a group of permutations of Fq. If A, BϵF(m, q) then A is equivalent to B relative to Ω if there exists ϕϵΩ such that ϕ(A) = B where ϕ(A) is computed by substitution. Formulas are given for the number of equivalence classes of a given order and for
Gary L. Mullen
wiley +1 more source
On the matrix equation $XA+AX^T =0$, II: Type 0-I interactions
, 2013 The matrix equation $XA + AX^T = 0$ was recently introduced by De Ter\'an and Dopico to study the dimension of congruence orbits. They reduced the study of this equation to a number of special cases, several of which have not been explicitly solved.
Chan, Alice Zhuo-Yu +3 more
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