Basic assumptions of two distributive network models designed to explain the 3/4 power scaling between metabolic rate and body mass are re-analysed. It is shown that these models could have consistently accounted for the observed scaling patterns if and only if body mass M had scaled as L4, where L is body length, in the model of Banavar et al. (1999, Nature 399, 130-132), or if spatial volume ...

I t can be easily seen that the graph [l , p. 9 ] , 1 of the Boolean algebra B of 2 elements (consisting of the vertices and edges of an n-cube) has 2(n\) "link-automorphisms," whereas B has only (n\) lattice-automorphisms. In an unpublished book, one of us has developed new operations in B and other distributive lattices, which admit such a wider group of invariance. The purpose of this note i...

1. Introduction. A typical result of this paper is the following. Let Lt, i e I be distributive lattices satisfying the countable chain condition. Then the free product L of these lattices also satisfies the countable chain condition. To be able to state the general result we need some notations. Let trt be an infinite cardinal. A poset (partially ordered set) P is said to satisfy the m-chain c...

Given a class F of posets, let ex(F; n) denote the maximum number of covering pairs achieved by an n-element poset in F. We determine this number for the class of N-free lattices and give crude lower and upper bounds for the classes of distributive and covering lattices. The structural characterization of covering lattices leads us to a class of lattices whose elements have a bounded number of ...

This paper presents an abstract, mathematical formulation of classical propositional logic. It proceeds layer by layer: (1) abstract, syntax-free propositions; (2) abstract , syntax-free contraction-weakening proofs; (3) distribution ; (4) axioms p ∨ p. Abstract propositions correspond to objects of the category G(Rel L) where G is the Hyland-Tan double glue-ing construction, Rel is the standar...

Distributive lattices defined for representations of rank two semisimple Lie algebras L. Wyatt Alverson II1, Robert G. Donnelly1, Scott J. Lewis1, Marti McClard2, Robert Pervine1, Robert A. Proctor3, N. J. Wildberger4 1Department of Mathematics and Statistics, Murray State University, Murray, KY 42071 2Department of Mathematics, University of Tennessee, Knoxville, TN 37996 3Department of Mathem...

Decentralizing Equality of Opportunity and Issues Concerning the Equality of Educational Opportunity Caterina Calsamiglia 2005 This dissertation explores issues concerning local versus global equality of opportunity, the presence of inequality for education attainment and the optimality of policies addressing such problems. The literature distinguishes between two different approaches to distri...

In 1982, L. Iturrioz introduced symmetrical Heyting algebras of order n (or SHnalgebras). In this paper, we define and study tense SHn-algebras namely, SHnalgebras endowed with two tense operators. These algebras constitute a generalization of tense Łukasiewicz-Moisil algebras. Our main interest is the duality theory for tense SHn-algebras. In order to do this, we requiere Esakia’s duality for ...

Article about objective laws of formation of a distributive infrastructure of e-commerce. The distributive infrastructure of e-commerce, according to the author, plays an important role in formation of network economy. The author opens strategic value of institutional regulation of distributive logistics for the decision problems of modernization of Russian economy.