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We investigate the cofinality of the partial order N-kappa of functions from a regular cardinal kappa into the ideal N of Lebesgue measure zero subsets of R. We show that when add(N) = kappa and the covering lemma holds with respect to an inner model of GCH, then cf(N-kappa) = max{cf(kappa(kappa)), ...
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We focus on matrix semigroups (and algebras) on which rank is commutable [rank(AB) = rank(BA)]. It is shown that in a number of cases (for example, in dimensions less than 6), but not always, commutativity of rank entails permutability of rank [rank(A(1)A(2)...A(n)) = rank(A(sigma(1))A(sigma(2))... ...
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A dynamical-systems model of plasma glucose concentration, andits regulation by insulin and glucagon, is described, as pertains to types 1 and2 diabetes. The hyperglycemic case is seen to be dependent only on insulinconcentration, while the hypoglycemic case requires consideration of both in-sulin a...
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The theory of resonant charge transfer is refined to deal with the overlap between the ion orbital and substrate orbitals, to introduce new numerical methods for estimating the interaction and most significantly to construct pseudo-states to model realistic densities of states for substrates.
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Let F be a nonempty collection of subsets of [n] = {1, 2,..., n}, each having cardinality t. Denote by P-F the poser consisting of all subsets of [n] which contain at least one member of F, ordered by set-theoretic inclusion. In 1980, K. W. Lih conjectured that P-F has the Sperner property for all 1...
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OBJECTIVE: To evaluate use of infrared spectroscopy for diagnosis of traumatic arthritis in horses. ANIMALS: 48 horses with traumatic arthritis and 5 clinically and radiographically normal horses. PROCEDURES: Synovial fluid samples were collected from 77 joints in 48 horses with traumatic arthritis....
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Cigarette smoking is the predominant risk factor for bladder cancer in males and females. The tobacco carcinogens are metabolized by various xenobiotic metabolizing enzymes such as N-acetyltransferases (NAT) and glutathione S-transferases (GST). Polymorphisms in NAT and GST genes alter the ability o...
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This paper studies the effect of varying substrate temperatures on the resonant charge-transfer process between a scattered particle and a solid surface. Two possible mechanisms for an effect are considered: (1) coupling of the transferring electron to the thermal motion of the target atom on the su...
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We prove the following theorem: For a partially ordered set Q such that every countable subset of Q has a strict upper bound, there is a forcing notion satisfying the countable chain condition such that, in the forcing extension, there is a basis of the null ideal of the real line which is order-iso...
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A matrix M is nilpotent of index 2 if M2=0. Let V be a space of nilpotent n×n matrices of index 2 over a field k where and suppose that r is the maximum rank of any matrix in V. The object of this paper is to give an elementary proof of the fact that . We show that the inequality is sharp and const...
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A (non-associative) algebra A, over a field k, is called homogeneous if its automorphism group permutes transitively the one dimensional subspaces of A. Suppose A is a nontrivial finite dimensional homogeneous algebra over an infinite field. Then we prove that x(2) = 0 for all x in A, and so xy = yx...
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BACKGROUND: Inactivity is a leading contributor to chronic health problems. Here, we examined the effects of a pedometer-based physical activity intervention (Prince Edward Island-First Step Program, PEI-FSP) on activity and specific health indices in 106 sedentary workers. METHODS: Participants wer...
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An empirical tight-binding (ETB) approach combined with a Green's-function (GF) method has been employed to investigate the electronic structure of the Si(111) and arsenic-passivated Si(111) surfaces. An accurate silicon band structure has first been developed keeping up to second-nearest-neigh...