We study the class of (locally) anti-blocking bodies as well some associated classes convex bodies. For these bodies, we prove geometric inequalities regarding volumes and mixed volumes, including Godbersen’s conjecture, near-optimal bounds on Mahler Saint-Raymond-type reverse Kleitman for volumes. apply our results to combinatorics posets Sidorenko-type linear extensions pairs [Formula: see te...

Coconvex sets (complements in a convex cone of convex subsets coinciding with the cone far enough from its apex) appear in singularity theory (as Newton diagrams) and in commutative algebra. Such invariants of coconvex sets as volumes, mixed volumes, number of integer points, etc., play an important role. This paper aims at extending various results from the theory of convex bodies to the cocon...

We present several formulas for the intersection multiplicity numbers considered in [3]. These numbers are associated to any dimensional cell of the common intersection of the tropical hypersurfaces. The first formula involves a sum of generalized mixed volumes, and turns out to be equal to the absolute value of the Euler characteristic of some complex toric complete intersection. Another formu...

The berization of aane systems via dual Gramian techniques, that was developed in previous papers of the authors, is applied here for the study of aane frames which have an aane dual system. Gramian techniques are also used to verify whether a dual pair of aane frames is a also a pair of bi-orthogonal Riesz bases. A general method for a painless derivation of a dual pair of aane frames from an ...

In this work we prove that any pair of homogeneous dual multiwavelet frames of L2(R) constructed from a pair of refinable function vectors gives rise to a pair of nonhomogeneous dual multiwavelet frames and vice versa. We also prove that the Mixed Oblique Extension Principle characterizes dual multiwavelet frames. Our results extend recent characterizations of affine dual frames derived from sc...

Why are dual-task costs reduced with ideomotor (IM) compatible tasks (Greenwald & Shulman, 1973; Lien, Proctor & Allen, 2002)? In the present experiments, we first examine three different measures of single-task performance (pure single-task blocks, mixed blocks, and long stimulus onset asynchrony [SOA] trials in dual-task blocks) and two measures of dual-task performance (simultaneous stimulus...

A dual mixed finite element method, for quasi–Newtonian fluid flow obeying to the power law, is constructed and analyzed in [8]. This mixed formulation possesses local (i.e., at element level) conservation properties (conservation of the momentum and the mass) as in the finite volume methods. We propose here an a posteriori error analysis for this mixed formulation.

background: oral vanadyl sulfate (vanadium) induces normoglycemia, proliferates beta cells and prevents pancreatic islet atrophy in streptozotocin-induced diabetic rats. soteriological method is used to quantitate the proliferative effects of vanadium on beta-cell numbers and islet volumes of normal and diabetic rats. methods: adult male sprague-dawley rats were made diabetic with intravenous s...

The purpose of this study is to apply composition duality methods in the qualitative analysis of evolution linear mixed variational problems. Primal and dual evolution mixed formulations are considered, as well as corresponding macro-hybrid variational models for parallel computing. The well-posedness, stability and convergence analysis of macro-hybrid mixed semi-discrete approximations is perf...