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An algebra A is homogeneous if the automorphism group of A acts transitively on the one dimensional subspaces of A. Suppose A is a homogeneous algebra over an infinite field k. Let L-a denote left mulfiplication by any nonzero element a is an element of A. Several results are proved concerning the s...
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In cellular networks, channels must be assigned to call requests so that interference constraints are respected and bandwidth is minimized. The number of call requests per cell is continually changing, making channel assignment naturally an online problem. We describe two new online channel assignme...
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In this work, we study the modified beta function View the MathML source that appeared in Marus˘ić and Bajzer’s solution [M. Marus˘ić, Z˘. Bajzer, Generalized two-parameter equation of growth, J. Math. Anal. Appl. 179 (1993) 446–462] of the generalized two-parameter equation of tumor growth...
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A theoretical study of the electronic structure of the (111) surfaces of CoSi2 and NiSi2 and their interfaces with Si has been carried out with particular attention paid to the existence of localized states. A Green function method has been used within the empirical tight-binding approximation to ca...
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A tight-binding investigation is performed of the electronic structure of a semi-infinite monatomic chain, whose atomic orbitals are assumed to be non-orthogonal, so that the effects of overlap can be taken into account. In addition to markedly modifying the bulk band-edges, the presence of overlap ...
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A brief overview is given of the theory of surface-ion neutralization (SIN) by highlighting studies from the pioneering days to the present time. Emphasis is placed on the 1-electron time-dependent Newns-Anderson (TDNA) model, which has played such a key role in studying resonance charge transfer. R...
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We study the generalized quantum isotonic oscillator Hamiltonian given by 𝐻 = − 𝑑 2 / 𝑑 𝑟 2 + 𝑙 ( 𝑙 + ...
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A multiplicative semigroup of idempotent operators is called an operator band. We prove that for each K > 1 there exists an irreducible operator band on the Hilbert space l(2) which is norm-bounded by K. This implies that there exists an irreducible operator band on a Banach space such that each ...
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A methodology of transmission through two-dimensional tight-binding lattices is presented. The theory is formulated in terms of matrix algebra and the relationships between the matrices are examined in detail. The features specific to tight-binding systems are contrasted to those for more general tr...
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We study sets on which measurable real-valued functions on a measurable space with negligibles are determined by their range.
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Question: Does fluctuating natural selection on body size of fish among years (balancing selection) influence the frequency of an alternative male reproductive tactic? Hypothesis: When the surviving juveniles of a cohort are larger because of selection, a higher proportion of the population will dev...
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This is a survey paper giving a self-contained account of Shelah's theory of the pcf function pcf(a) = {cf(PI a/D, < D): D is an ultrafilter on a}, where a is a set of regular cardinals such that \a\ < min(a). We also give several applications of the theory to cardinal arithmetic, the exi...
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We present a theoretical model for studying the effects of an electromagnetic (laser) field on the process of neutralization of an ion during scattering by a surface. The model is part of a many-electron theory within the framework of a time-dependent version of the Anderson-Newns model. Where we sp...
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