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Some basic geometric properties of doubly twisted product immersions are established.

Differential Geometry · Mathematics 2020-11-24 Abdoul Salam Diallo , Fortuné Massamba

In this paper, we propose new generalizations of amicable numbers. We also give examples and prove properties of these new concepts.

Number Theory · Mathematics 2025-08-08 S. I. Dimitrov

Starting from a symmetrization and extension of the basic definitions and results of dissipativity theory we obtain new results on cyclo-dissipativity; in particular their external characterization and description of the set of storage…

Optimization and Control · Mathematics 2020-03-24 Arjan van der Schaft

Though the notion of exchangeability has been discussed in the causal inference literature under various guises, it has rarely taken its original meaning as a symmetry property of probability distributions. As this property is a standard…

Methodology · Statistics 2023-10-04 Olli Saarela , David A. Stephens , Erica E. M. Moodie

Substitutability, interchangeability and related concepts in Constraint Programming were introduced approximately twenty years ago and have given rise to considerable subsequent research. We survey this work, classify, and relate the…

Artificial Intelligence · Computer Science 2010-10-25 Shant Karakashian , Robert Woodward , Berthe Y. Choueiry , Steven Prestwhich , Eugene C. Freuder

In this paper, we give some generalizations the concept of element order and we study some of the properties of these generalized order. In particular, with using this generalization we derive two solvability criteria.

Group Theory · Mathematics 2020-03-24 Mohsen Amiri

Here we generalize the concept of spatial tensor product, introduced by Skeide, of two product systems via a pair of normalized units. This new notion is called amalgamated tensor product of product systems, and now the amalgamation can be…

Operator Algebras · Mathematics 2014-05-16 B. V. Rajarama Bhat , Mithun Mukherjee

We review various aspects of disk instability models. We discuss problems and difficulties and present ways that have been suggested to solve them.

Astrophysics · Physics 2009-10-30 Jean-Pierre Lasota , Jean-Marie Hameury

We introduce decomposition complexes of posets, which generalize order complexes. The main advantage of our construction is that decomposition complexes are closed under taking products. Other special instances of this theory include nested…

Combinatorics · Mathematics 2013-01-18 Martin Dlugosch

A recent general model of entanglement, [5], that goes much beyond the usual one based on tensor products of vector spaces is further developed here. It is shown that the usual Cartesian product can be seen as two extreme particular…

General Physics · Physics 2008-07-10 Elemer E Rosinger

In the context of locally constant skew-products over the shift with circle fiber maps we introduce the notion of measures with periodic repetitive pattern, inspired by \cite{GorIlyKleNal:05} and which includes the non-hyperbolic measures…

Dynamical Systems · Mathematics 2020-09-15 Bruno Santiago , Régis Varão

In this article the infinite product of bicomplex numbers is defined and the convergence and divergence of this product are discussed.

Complex Variables · Mathematics 2017-06-26 Chinmay Ghosh

The first article in this series presented a thorough discussion of particle weights and their characteristic properties. In this part a disintegration theory for particle weights is developed which yields pure components linked to…

High Energy Physics - Theory · Physics 2007-05-23 Martin Porrmann

A star-product formalism describing deformations of the standard quantum mechanical harmonic oscillator is introduced. A number of existing generalized oscillators occur as particular choises of star-products between the elements of the…

High Energy Physics - Theory · Physics 2008-02-03 Demosthenes Ellinas

We describe the crossover from generalized hydrodynamics to conventional hydrodynamics in nearly integrable systems. Integrable systems have infinitely many conserved quantities, which spread ballistically in general. When integrability is…

Statistical Mechanics · Physics 2020-05-13 Aaron J. Friedman , Sarang Gopalakrishnan , Romain Vasseur

Generalized product formulas and index transforms, involving products of Whittaker's functions of different indices are established and investigated. The corresponding inversion formulas are found. Particular cases cover index transforms…

Classical Analysis and ODEs · Mathematics 2025-06-09 Semyon Yakubovich

A characterization of mixed Poisson processes in terms of disintegrations is proven. As a consequence some further characterizations of such processes via claim interarrival processes, martingales and claim measures are obtained. Some…

Probability · Mathematics 2012-10-30 D. P. Lyberopoulos , N. D. Macheras

Some finite series of harmonic numbers involving certain reciprocals are evaluated. Products of such reciprocals are expanded in a sum of the individual reciprocals, leading to a computer program. A list of examples is provided.

Number Theory · Mathematics 2012-03-08 Maarten Kronenburg

When imperfect quality products are produced in a production process, rework may be performed to make them become serviceable. In an inventory system, items may deteriorate. Selling deteriorated items to customers will create negative…

Optimization and Control · Mathematics 2012-09-11 Allen H. Tai

A classification of the ways in which an element of a free group can be expressed as a product of commutators or as a product of squares is given. This is then applied to some particular classes of elements. Finally, a question about…

Group Theory · Mathematics 2008-02-03 Leo P. Comerford , Charles C. Edmunds