7 citations · 21 across the 8 of their papers we have counts for
8 papers
Tight Bounds on the Coeffcients of Consecutive -out-of-: Systems
Vlad-Florin Drăgoi, Simon R. Cowell, Valeriu Beiu
In this paper we compute the coefficients of the reliability polynomial of a consecutive--out-of-: system, in Bernstein basis, using the generalized Pascal coefficients. B…
Survey of Cubic Fibonacci Identities - When Cuboids Carry Weight
Mariana Nagy, Simon R. Cowell, Valeriu Beiu
The aim of this paper is to present a comprehensive survey of cubic Fibonacci identities, trying to uncover as many as possible. From the outset, our rationale for a very careful s…
Brick-wall lattice paths and applications
Leonard Daus, Valeriu Beiu, Simon Cowell +1
We introduce a new type of lattice path, called brick-wall lattice path, and we derive a formula which counts the number of paths on these lattices imposing certain restrictions on…
On the Computation of the Shannon Capacity of a Discrete Channel with Noise
Simon Cowell
Muroga [M52] showed how to express the Shannon channel capacity of a discrete channel with noise [S49] as an explicit function of the transition probabilities. His method accommoda…
Early Transcendental Analysis
Simon Cowell, Philippe Poulin
In Early Transcendentals (The American Mathematical Monthly, Vol. 104, No 7) Steven Weintraub presents a rigorous justifcation of the "early transcendental" calculus textbook appro…
A Formula for the Reliability of a -dimensional Consecutive--out-of-:F System
Simon Cowell
We derive a formula for the reliability of a -dimensional consecutive--out-of-:F system. That is, a formula for the probability that an arra…
de Branges spaces with bi-Lipschitz phase for large distances
Philippe Poulin, Simon Cowell
We characterize an arbitrary de Branges space with bi-Lipschitz phase for large distances as a subspace of a weighted Paley--Wiener space, consisting of the elements square-integra…
Asymptotic Unconditionality
S. R. Cowell, N. J. Kalton
We show that a separable real Banach space embeds almost isometrically in a space with a shrinking 1-unconditional basis if and only if $\lim_{n \to \infty} \|x^* + x_n^*\| = \…