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pro vyhledávání: '"Ronald J. Evans"'
Publikováno v:
The Electronic Journal of Linear Algebra. 37:177-192
Let $S(n,k)$ denote the $n \times n$ symmetric Toeplitz band matrix whose first $k$ superdiagonals and first $k$ subdiagonals have all entries $1$, and whose remaining entries are all $0$. For all $n > k >0$ with $k$ even, we give formulas for the nu
Publikováno v:
Linear Algebra and its Applications. 593:276-304
For all n > k ≥ 1 , we give formulas for the nullity N ( n , k ) of the n × n skew-symmetric Toeplitz band matrix whose first k superdiagonals have all entries 1 and whose remaining superdiagonals have all entries 0. This is accomplished by counti
Autor:
Ronald J. Evans
Publikováno v:
Publicationes Mathematicae Debrecen. 22:41-42
Autor:
Mark Van Veen, Ronald J. Evans
Publikováno v:
Finite Fields and Their Applications. 54:151-175
Let F q be a field of q elements, where q is a power of an odd prime. Fix n = ( q + 1 ) / 2 . For each s ∈ F q , we describe all the irreducible factors over F q of the polynomial g s ( y ) : = y n + ( 1 − y ) n − s , and we give a necessary an
Publikováno v:
Linear Algebra and its Applications. 532:397-405
Let $M_n(K)$ denote the algebra of $n \times n$ matrices over a field $K$ of characteristic zero. A nonunital subalgebra $N \subset M_n(K)$ will be called a nonunital intersection if $N$ is the intersection of two unital subalgebras of $M_n(K)$. Appe
Autor:
Mark Van Veen, Ronald J. Evans
Publikováno v:
Finite Fields and Their Applications. 46:139-146
Let n > 1 be an integer, and let F p denote a field of p elements for a prime p ≡ 1 ( mod n ) . By 2015, the question of existence or nonexistence of n -th power residue difference sets in F p had been settled for all n 24 . We settle the case n =
Autor:
Hal Galbraith, Barbara K Lomeli, Keith Z. Hazleton, Jacques Ravel, Ronald J. Evans, Blaire L. Osborn, Jared Schettler, Nebojsa Janjic, George A Saviolakis, Catherine A. Lozupone, Thale C. Jarvis, Urs A. Ochsner, Stacie J Bell, Wael El-Amin, Shahida Baqar
Publikováno v:
Antimicrobial Agents and Chemotherapy
CRS3123 is a novel small molecule that potently inhibits methionyl-tRNA synthetase of Clostridioides difficile, inhibiting C. difficile toxin production and spore formation. CRS3123 has been evaluated in a multiple-ascending-dose placebo-controlled p
Autor:
Ronald J. Evans, John Greene
Publikováno v:
Proceedings of the American Mathematical Society. 145:1071-1076
In 1984, the second author conjectured a quadratic transformation formula which relates two hypergeometric 2 F 1 {}_2\hspace {-1pt}F_1 functions over a finite field F q \mathbb {F}_q . We prove this conjecture in Theorem 2. The proof depends on a new
Autor:
Kenneth S. Williams, Ronald J. Evans
Publikováno v:
International Journal of Number Theory. 11:2487-2503
We prove a general theorem that evaluates the Legendre symbol [Formula: see text] under certain conditions on the integers A, B, m and the prime p. The evaluation is in terms of parameters appearing in a binary quadratic form representing p. The theo
Autor:
Lihua Huang, Ronald J. Evans
Publikováno v:
Mathematics Magazine. 87:252-262
SummaryWe generalize two mind-switching problems that arise in connection with the popular sci-fi television series Futurama and Stargate SG-1. Optimal solutions to these problems are found by answering the following question about a permutation σ e