In this thesis I deal with the design of optimal interconnection networks. Optimality is interpreted as the largest possible number of nodes in the network, under given constraints on the number of connections attached to a node (degree of the node), and on the length of shortest paths between any two nodes (diameter of the network). Any interconnection network with bidirectional channels can b...

We present some equivalent conditions of the reverse order law for the Moore–Penrose inverse in rings with involution, extending some well-known results to more general settings. Then we apply this result to obtain a set of equivalent conditions to the reverse order rule for the weighted Moore-Penrose inverse in C∗-algebras.

Moore’s paradox is the fact that assertions or beliefs such as Bangkok is the capital of Thailand but I do not believe that Bangkok is the capital of Thailand

Spatial and temporal aberration detection methods for disease outbreaks in syndromic surveillance systems Dongmei Chen a , John Cunningham b , Kieran Moore c & Jie Tian d a Department of Geography, Queen's University, Kingston, ON, Canada b Leeds, Grenville & Lanark District Health Unit, ON, Canada c Department of Family Medicine, Queen's University, Kingston, Canada d Department of Geology & G...

In this paper, a link between the Hyers–Ulam stability and the Moore–Penrose inverse is established, that is, a closed operator has the Hyers–Ulam stability if and only if it has a bounded Moore–Penrose inverse. Meanwhile, the stability constant can be determined in terms of the Moore– Penrose inverse. Based on this result, some conditions for the perturbed operators having the Hyers– Ulam stab...

Given a set Un = {0, 1, ..., n−1}, a collectionM of subsets of Un that is closed under intersection and contains Un is known as a Moore family. The set of Moore families for a given n, denoted by Mn, increases very quickly with n, thus |M3| is 61 and |M4| is 2480. In [1] the authors determined the number for n = 6 and stated a 24hcomputation-time. Thus, the number for n = 7 can be considered as...

0.1. This paper presents an investigation of the following problem. Exhibit a class X of topological spaces which contains all peano spaces and which has the following properties: (1) a cyclic element theory exists in each space of the class, (2) the abstract set consisting of all cyclic element of any space X of the class can be topologized so as to be a member of the class X, and (3) the hype...

We investigate the probabilistic behavior of a string-matching heuristic used for searching for the occurrences of a pattern in a random text. Our investigation covers the two cases when the pattern itself is xed or random. Under suitable normalization we show that the total search time is asymptotically normally distributed in the case of xed pattern, whereas in the case of random pattern the ...

A global marine ecosystem mixed-layer model is used to study iron cycling and nutrient-limitation patterns in surface waters of the world ocean. The ecosystem model has a small phytoplankton size class whose growth can be limited by N, P, Fe, and/or light, a diatom class which can also be Si-limited, and a diazotroph phytoplankton class whose growth rates can be limited by P, Fe, and/or light l...