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We describe an algorithm to decompose rational functions from which we determine the poset of groups fixing these functions.

Number Theory · Mathematics 2008-08-21 John McKay , David Sevilla

We study properties of classes of closure operators and closure systems parameterized by systems of isotone Galois connections. The parameterizations express stronger requirements on idempotency and monotony conditions of closure operators.…

Logic in Computer Science · Computer Science 2017-01-11 Vilem Vychodil

We show that the class of $\mathcal{L}$-constructible functions is closed under integration for any $P$-minimal expansion of a $p$-adic field $(K,\mathcal{L})$. This generalizes results previously known for semi-algebraic and sub-analytic…

Logic · Mathematics 2015-02-24 Pablo Cubides Kovacsics , Eva Leenknegt

A way to add an extra dimension is briefly discussed.

Classical Analysis and ODEs · Mathematics 2007-10-15 Stephen Semmes

Rational inner functions are a generalization of finite Blaschke products to several variables. In this article we survey a variety of results about rational inner functions related to interpolation, sums of squares formulas, and boundary…

Functional Analysis · Mathematics 2025-02-20 Greg Knese

In this paper we study the consequences of overinterpolation, i.e., the situation when a function can be interpolated by polynomial, or rational, or algebraic functions in more points that normally expected. We show that in many cases such…

Complex Variables · Mathematics 2015-06-26 Dan Coman , Evgeny A. Poletsky

Recent progress in the field of spin physics of high energy particle interactions is reviewed with particular emphasis on the spin structure functions as measured in polarized deep inelastic lepton-nucleon scattering (DIS). New measurements…

High Energy Physics - Experiment · Physics 2011-07-19 Uta Stosslein

Present data on the partonic content of the photon are reviewed. The results on the unpolarized structure functions from DIS experiments and on large pt jet production processes in gamma-gamma and gamma-p collisions are discussed for both…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Krawczyk , M. Staszel , A. Zembrzuski

We extract parton distribution functions (PDFs) and structure functions from recent experimental data of polarized lepton-DIS on nucleons at next-to-leading order (NLO) Quantum Chromodynamics. We apply the Jacobi polynomial method to the…

High Energy Physics - Phenomenology · Physics 2011-03-22 Ali N. Khorramian , S. Atashbar Tehrani , S. Taheri Monfared , F. Arbabifar , F. I. Olness

This talk gives a brief discussion of extended fracture functions, which parametrise the non-perturbative physics in the target fragmentation region of semi-inclusive DIS. In the forward limit z -> 1, it can be seen that fracture functions…

High Energy Physics - Phenomenology · Physics 2009-10-31 B. E. White

We study convex subsets of buildings, discuss some structural features and derive several characterizations of buildings.

Metric Geometry · Mathematics 2007-05-23 Andreas Balser , Alexander Lytchak

In this note we analyse the harmonic functions in $L^2$-sense for an irreducible diffusion on an interval.

Probability · Mathematics 2022-03-30 Liping Li

We define an operation of evaluation at a point for motivic constructible (exponential) functions from the Cluckers-Loeser framework of motivic integration and show that two such motivic functions are abstractly equal if and only if their…

Algebraic Geometry · Mathematics 2021-12-08 Raf Cluckers , Immanuel Halupczok

In this paper, I describe the construction of certain functional integrals in the gradient on finitely ramified fractals, which have a sort of self-similarity property.

Analysis of PDEs · Mathematics 2013-12-12 Roberto Peirone

A characterization of multiplicative (and additive) arithmetical functions is given. Using this characterization, we show that the group of multiplicative arithmetical functions is isomorphic to the group of additive arithmetical functions.

Number Theory · Mathematics 2011-06-28 Masood Aryapoor

The parabolic functions are introduced in analogy to the circular and hyperbolic cases. We discuss the relevant properties, the geometrical interpretation and touch on possible generalizations and their link with the modular elliptic…

Mathematical Physics · Physics 2011-02-09 G. Dattoli , M. Migliorati , M. Quattromini , P. E. Ricci

We establish the relationship between distribution and fragmentation functions and the structure functions appearing in the cross section of polarized 1-particle inclusive deep-inelastic scattering. We present spectator model evaluations of…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. Bacchetta , S. Boffi , R. Jakob

The purpose of this contribution is to give an outlook of recent results connected with deuteron physics, with electromagnetic and strong interacting probes at intermediate energy. Special attention will be devoted to polarization…

Nuclear Theory · Physics 2007-05-23 Egle Tomasi-Gustafsson , Michail P. Rekalo

This is the second chapter in our "Toric Topology" book project. Further chapters are coming. Comments and suggestions are very welcome.

Algebraic Topology · Mathematics 2012-10-10 Victor Buchstaber , Taras Panov

This current article aims to study a new subclass of meromorphic functions with positive coefficients by reconstructing a new operator in the punctured open disc. Also, some geometric properties are considered and investigated, such results…

Complex Variables · Mathematics 2024-08-16 Ali H. Maran , Abdul Rahman S. Juma , Raheam A. Al-Saphory
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