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Using simultaneously two operator identities, we consider the inversion of the convolution operators on a rectangular. The structure of the inverse operators and of some corresponding forms, which are important in signal processing, is…

Classical Analysis and ODEs · Mathematics 2017-01-31 Alexander Sakhnovich

We propose a new definition of actual cause, using structural equations to model counterfactuals. We show that the definition yields a plausible and elegant account of causation that handles well examples which have caused problems for…

Artificial Intelligence · Computer Science 2007-05-23 Joseph Y. Halpern , Judea Pearl

In the paper we present some new inversion formulas and two new formulas for Stirling numbers.

Combinatorics · Mathematics 2010-12-20 Zhi-Hong Sun

This article gives a brief survey of the theory and applications of anomalies.

High Energy Physics - Theory · Physics 2007-05-23 Stephen L. Adler

This is a brief overview of some turning points in the history of infinitesimals.

History and Overview · Mathematics 2007-05-23 S. Kutateladze

We provide a necessary and sufficient condition for a rough control driving a differential equation to be reconstructable, to some order, from observing the resulting controlled evolution. Physical examples and applications in stochastic…

Probability · Mathematics 2014-11-17 I. Bailleul , J. Diehl

The paper is an introduction to intuitionistic mathematics.

Logic · Mathematics 2021-02-03 Wim Veldman

We study the complexity of deterministic and probabilistic inversions of partial computable functions on the reals.

Logic · Mathematics 2026-01-14 George Barmpalias , Mingyang Wang , Xiaoyan Zhang

We give a systematic construction of inverse-closed (Banach) subalgebras in general higher-dimensional non-commutative tori

Operator Algebras · Mathematics 2017-06-21 Karlheinz Gröchenig , Michael Leinert

This thesis develops the theory of bundle gerbes and examines a number of useful constructions in this theory. These allow us to gain a greater insight into the structure of bundle gerbes and related objects. Furthermore they naturally lead…

Differential Geometry · Mathematics 2007-05-23 Stuart Johnson

This is a short survey of amenable equivalence relations.

Logic · Mathematics 2018-09-05 Justin Tatch Moore

The concepts of negative refractive index and near-field imaging are explained in the form of a tutorial.

Optics · Physics 2010-08-20 Johannes Skaar

I present a brief update on the transverse polarization distributions, focusing on model calculations and phenomenological perspectives.

High Energy Physics - Phenomenology · Physics 2009-10-31 V. Barone

In this paper, we introduce the notion of a (generalized) right core inverse and give its characterizations and expressions. Then, we provide the relation schema of (one-sided) core inverses, (one-sided) pseudo core inverses and EP…

Rings and Algebras · Mathematics 2018-04-04 Long Wang , Dijana Mosic , Yuefeng Gao

Work in progress concerning alternative formalizations of arithmetic.

Logic · Mathematics 2018-01-04 David M. Cerna

The purpose of this report is a study of the algebraic approach possibilities to reconstruct images. This approach is reduced to solution of the large system of linear algebraic equations. We also point out some possible further…

General Physics · Physics 2016-01-01 E. E. Libin , S. V. Chakhlov , D. Trinca

A short introduction to the mathematical methods and technics of differential algebras and modules adapted to the problems of mathematical and theoretical physics is presented.

Rings and Algebras · Mathematics 2018-08-29 Victor Zharinov

This paper has several purposes. We present through a critical review the results from already published papers on the constructive semigroup theory, and contribute to its further development by giving solutions to open problems. We also…

General Mathematics · Mathematics 2023-06-22 Melanija Mitrovic , Mahouton Norbert Hounkonnou , Marian Alexandru Baroni

Another approach to constructing an upper bound for the Riemann-Farey sum is described.

General Mathematics · Mathematics 2007-05-23 Scott B. Guthery

In this paper we shall study the inverse problem relative to dynamics of the w function which is a special arithmetic function and shall get some results.

Number Theory · Mathematics 2015-05-13 Chaohua Jia
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