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This is a part of an ongoing research project, with the aim of finding the connections between properties related to theory combination in Satisfiability Modulo Theories. In previous work, 7 properties were analyzed: convexity, stable…

Logic in Computer Science · Computer Science 2024-05-03 Guilherme Vicentin de Toledo , Yoni Zohar

The fundamental properties of biquaternions (complexified quaternions) are presented including several different representations, some of them new, and definitions of fundamental operations such as the scalar and vector parts, conjugates,…

Rings and Algebras · Mathematics 2015-06-25 Stephen J. Sangwine , Todd A. Ell , Nicolas Le Bihan

We introduce a mathematical model of symbiosis between different species by taking into account the influence of each species on the carrying capacities of the others. The modeled entities can pertain to biological and ecological societies…

Biological Physics · Physics 2012-06-06 V. I. Yukalov , E. P. Yukalova , D. Sornette

We study algebraic and model-theoretic properties of existentially closed fields with an action of a fixed finite group. Such fields turn out to be pseudo-algebraically closed in a rather strong sense. We place this work in a more general…

Logic · Mathematics 2019-05-24 Daniel Max Hoffmann , Piotr Kowalski

Finite covers are a technique for building new structures from simpler ones. The original motivation to study finite covers is in the Ladder theorem of Zilber which describes how totally categorical structures are built from strictly…

Logic · Mathematics 2007-06-13 Elisabetta Pastori

We show that almost commuting real orthogonal matrices are uniformly close to exactly commuting real orthogonal matrices. We prove the same for symplectic unitary matrices. This is in contrast to the general complex case, where not all…

Operator Algebras · Mathematics 2015-04-16 Terry A. Loring , Adam P. W. Sørensen

We present definitions of homology groups associated to a family of amalgamation functors. We show that if the generalized amalgamation properties hold, then the homology groups are trivial. We compute the group H_2 for strong types in…

Logic · Mathematics 2011-05-17 John Goodrick , Byunghan Kim , Alexei Kolesnikov

Some completely positive maps on reduced amalgamated free products of C*-algebras are constructed; these allow a proof that the class of exact unital C*-algebras is closed under taking reduced amalgamated free products. Consequently, the…

Operator Algebras · Mathematics 2007-05-23 Ken Dykema

Invertibility is an important concept in category theory. In higher category theory, it becomes less obvious what the correct notion of invertibility is, as extra coherence conditions can become necessary for invertible structures to have…

Category Theory · Mathematics 2020-10-20 Alex Rice

The theory of quantum dynamical semigroups within the mathematically rigorous framework of completely positive dynamical maps is reviewed. First, the axiomatic approach which deals with phenomenological constructions and general…

Quantum Physics · Physics 2007-05-23 Robert Alicki

In this paper, we introduce the topological structure of fuzzy parametrized soft sets and fuzzy parametrized soft mappings. We define the notion of quasi-coincidence for fuzzy parametrized soft sets and investigated basic properties of it.…

General Topology · Mathematics 2016-03-26 Serkan Atmaca , İdris Zorlutuna

It is argued that correlations and multiplicity distributions constitute one of the most characteristic properties of strong interactions. The progress made in the last years in our understanding of correlations is reviewed.

High Energy Physics - Phenomenology · Physics 2007-05-23 R. M. Weiner

We study some special almost complex structures on strictly pseudoconvex domains. They appear naturally as limits under a nonisotroping scaling procedure and play a role of model objects in the geometry of almost complex manifolds with…

Complex Variables · Mathematics 2007-05-23 H. Gaussier , A. Sukhov

Fusion frames enable signal decompositions into weighted linear subspace components. For positive integers p, we introduce p-fusion frames, a sharpening of the notion of fusion frames. Tight p-fusion frames are closely related to the…

Numerical Analysis · Mathematics 2012-09-27 Christine Bachoc , Martin Ehler

The aim of this article is twofold: first, improve the multiplicity estimate obtained by the second author for Drinfeld quasi-modular forms; and then, study the structure of certain algebras of "almost-$A$-quasi-modular forms"

Number Theory · Mathematics 2013-09-19 Vincent Bosser , Federico Pellarin

We introduce a definition of pressure for almost-additive sequences of continuous functions defined over (non-compact) countable Markov shifts. The variational principle is proved. Under certain assumptions we prove the existence of Gibbs…

Dynamical Systems · Mathematics 2015-05-28 Godofredo Iommi , Yuki Yayama

In the present paper we prove the compactness theorem with respect to partial structures and quasi-truth, using the technique of ultraproducts. Partial structures and quasi-truth are two notions developed within the partial structures…

Logic · Mathematics 2024-05-20 Rodolfo Cunha Carnier

The probabilistic characterization of the relationship between two or more random variables calls for a notion of dependence. Dependence modeling leads to mathematical and statistical challenges, and recent developments in extremal…

Methodology · Statistics 2025-03-11 Giovanni Puccetti , Ruodu Wang

It is shown that (1) if a good set has finitely many related components, then they are full, (2) loops correspond one-to-one to extreme points of a convex set. Some other properties of good sets are discussed.

General Mathematics · Mathematics 2007-05-23 K Gowri Navada

Basic properties of symplectic reflection algebras over an algebraically closed field k of positive characteristic are laid out. These algebras are always finite modules over their centres, in contrast to the situation in characteristic 0.…

Rings and Algebras · Mathematics 2007-09-17 Kenneth A. Brown , Kanokporn Changtong
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