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A problem concerning the shift of roots of a system of homogeneous algebraic equations is investigated. Its conservation and decomposition of a multiple root into simple roots are discussed.

Numerical Analysis · Mathematics 2025-10-20 S. Tanabe , M. N. Vrahatis

The relationships between the fundamental dynamics and diffraction phenomena in scattering from two-body composite system are discussed. A new simple formula for the shadow corrections to the total cross-section in scattering from deuteron…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. A. Arkhipov

This is a survey of the spectral theory of tensors.

Spectral Theory · Mathematics 2012-01-18 Liqun Qi

This is a survey on the local structure about a fixed point of discrete finite-dimensional holomorphic dynamical systems, discussing in particular the existence of local topological conjugacies to normal forms, and the structure of local…

Dynamical Systems · Mathematics 2007-05-23 Marco Abate

An overview of recent theoretical progress on Non-Relativistic QCD and related effective theories is provided.

Nuclear Theory · Physics 2008-11-26 Joan Soto

Recent developments in theory and phenomenology relevant to deep inelastic lepton scattering are reviewed, concentrating on the following topics: Predicted behaviour of non-singlet and polarized structure functions at small $x$; Theoretical…

High Energy Physics - Phenomenology · Physics 2007-05-23 B. R. Webber

Recent developments in the field of high precision calculations in the Standard Model are illustrated with particular emphasis on the evidence for radiative corrections and on the estimate of the theoretical error in perturbative…

High Energy Physics - Phenomenology · Physics 2007-05-23 Paolo Gambino

A brief history of the investigation of the Weil-Petersson curvature and a summary of Teichm\"{u}ller theory are provided. A report is presented on the program to describe an intrinsic geometry with the Weil-Petersson metric and…

Differential Geometry · Mathematics 2008-09-23 Scott A. Wolpert

We study deformations of complex projective varieties that are homotopically or homologically trivial. We formulate several conjectures and give some examples and partial answers.

Complex Variables · Mathematics 2012-01-16 Javier Fernandez de Bobadilla , János Kollár

We give a proposal for future development of the model theory of valued fields. We also summarize some recent results on p-adic numbers.

Logic · Mathematics 2007-05-23 Raf Cluckers

We give an overview of analytical results concerned with chemotaxis systems where the signal is absorbed. We recall results on existence and properties of solutions for the prototypical chemotaxis-consumption model and various variants and…

Analysis of PDEs · Mathematics 2023-04-06 Johannes Lankeit , Michael Winkler

This paper considers the structure of uncertain linear systems building on concepts of robust unobservability and possible controllability which were introduced in previous papers. The paper presents a new geometric characterization of the…

Systems and Control · Computer Science 2013-04-11 Ian R. Petersen

We introduce a new definition of a model for a formal mathematical system. The definition is based upon the substitution in the formal systems, which allows a purely algebraic approach to model theory. This is very suitable for applications…

Logic · Mathematics 2026-03-03 Matthias Kunik

In this short note, we present certain generalized versions of the commutator formulas of some natural operators on manifolds, and give some applications.

Differential Geometry · Mathematics 2011-04-08 Kefeng Liu , Sheng Rao

A new kind of deformed calculus was introduced recently in studying of parabosonic coordinate representation. Based on this deformed calculus, a new deformation of Legendre polynomials is proposed in this paper, some properties and…

Mathematical Physics · Physics 2007-05-23 Wei Min Yang , Hu Li , Si Cong Jing

Fiducial production cross sections measurements of Standard Model processes, in principle, provide constraints on new physics scenarios via a comparison of the predicted Standard Model cross section and the observed cross section. This…

High Energy Physics - Experiment · Physics 2019-12-05 Gabriel Facini , Kyrylo Merkotan , Matthias Schott , Alexander Sydorenko

As data from monitored structures become increasingly available, the demand grows for it to be used efficiently to add value to structural operation and management. One way in which this can be achieved is to use structural response…

Applications · Statistics 2025-05-14 Nicholas E. Silionis , Konstantinos N. Anyfantis

A review on the fluctuation relation, fluctuation theorem and related topics.

Statistical Mechanics · Physics 2024-01-02 Giovanni Gallavotti

In this brief article we try to find an ''interpretation'' for the formalism $\sqrt{dx}$.

General Mathematics · Mathematics 2025-09-16 Camosso Simone

I discuss our current understanding of parton distributions. I begin with the underlying theoretical framework, and the way in which different data sets constrain different partons, highlighting recent developments. The methods of examining…

High Energy Physics - Phenomenology · Physics 2009-11-10 R. S. Thorne
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