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This paper aims to examine the version of the topological group structure in proximity and especially descriptive proximity spaces, that is, the concepts of proximal group and descriptive proximal group are introduced. In addition, the…

General Topology · Mathematics 2023-09-06 Melih İs

We present the mass functions for different mass estimators for a range of cosmological models. We pay particular attention to how universal the mass function is, and how it depends on the cosmology, halo identification and mass estimator…

Astrophysics · Physics 2008-11-26 Martin White

We review some approaches to the quark-lepton mass problem. The ideas of mass-protection and approximate chiral flavour symmetries as a framework for resolving the mass hierarchy problem are presented. Dynamical calculations of the top…

High Energy Physics - Phenomenology · Physics 2007-05-23 C. D. Froggatt

Numerical approximate computation can solve large and complex problems fast. It has the advantage of high efficiency. However it only gives approximate results, whereas we need exact results in many fields. There is a gap between…

Algebraic Geometry · Mathematics 2015-06-26 Jingzhong Zhang , Yong Feng

This chapter is a collection of techniques, warnings, facts and ideas that are sometimes regarded as theoretical curiosities in high-energy physics but have important consequences in condensed matter physics. In particular, we describe…

Mesoscale and Nanoscale Physics · Physics 2019-09-09 Adolfo G. Grushin

We review the precision measurement of the mass of the W-boson at LEP. We discuss the techniques used by the four LEP experiments to determine the mass of the W-boson as well as the major sources of systematic uncertainty. The measurement…

High Energy Physics - Experiment · Physics 2007-05-23 Raimund Ströhmer

Accuracy-driven computation is a strategy widely used in exact-decisions number types for robust geometric algorithms. This work provides an overview on the usage of error bounds in accuracy-driven computation, compares different approaches…

Computational Geometry · Computer Science 2026-04-15 Martin Wilhelm

The problem of determining the angle at which a point mass launched from ground level with a given speed is a standard exercise in mechanics. Similar, yet conceptually and calculationally more difficult problems have been suggested to…

Classical Physics · Physics 2016-11-23 Nikola Poljak

The future goals of particle physics are classified from a theorist's point of view. The prospects of mass and mixing angle determination and of the top quark and Higgs boson discovery are discussed. It is shown that the most important…

High Energy Physics - Phenomenology · Physics 2007-05-23 Bodo Lampe

Estimating large covariance and precision matrices are fundamental in modern multivariate analysis. The problems arise from statistical analysis of large panel economics and finance data. The covariance matrix reveals marginal correlations…

Methodology · Statistics 2015-04-17 Jianqing Fan , Yuan Liao , Han Liu

We review recent developments on the characterization of random landscapes in high-dimension. We focus in particular on the problem of characterizing the landscape topology and geometry, discussing techniques to count and classify its…

Disordered Systems and Neural Networks · Physics 2023-04-12 Valentina Ros , Yan V. Fyodorov

Measurements of the top quark mass are presented, obtained from CMS data collected in proton proton collisions at the LHC at centre-of-mass energies of 7 TeV and 8 TeV. The mass of the top quark is measured using several methods and…

High Energy Physics - Experiment · Physics 2016-10-07 Simon Spannagel

Two topics on the standard electroweak theory are discussed based on its remarkable success in precision analyses. One is a test of structure of the radiative corrections to the weak-boson masses as a further precision analysis. The other…

High Energy Physics - Phenomenology · Physics 2007-05-23 Zenrō Hioki

In the theory of belief functions, many measures of uncertainty have been introduced. However, it is not always easy to understand what these measures really try to represent. In this paper, we re-interpret some measures of uncertainty in…

Artificial Intelligence · Computer Science 2011-09-19 Florentin Smarandache , Arnaud Martin , Christophe Osswald

Enumeration of various types of lattice polygons and in particular polyominoes is of primary importance in many machine learning, pattern recognition, and geometric analysis problems. In this work, we develop a large deviation principle for…

Probability · Mathematics 2018-04-20 Ilya Soloveychik , Vahid Tarokh

I give an overview of the effects of neutrino masses in cosmology, focussing on the role they play in the evolution of cosmological perturbations. I discuss how recent observations of the cosmic microwave background anisotropies and the…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-03 Yvonne Y. Y. Wong

Advantages and disadvantages of fixation of fundamental physical constants' values for definition of SI units are considered. The case with a new definition of the mass unit on the base of a fixed value of the Avogadro constant is studied…

Atomic Physics · Physics 2011-02-24 V. V. Khruschov

Significant progress has been made in the determination of the light quark masses, using both lattice QCD and sum rule methods, in the last year. We discuss the different methods and review the status of current results. Finally, we review…

High Energy Physics - Lattice · Physics 2011-01-27 Tanmoy Bhattacharya , Rajan Gupta

Transparencies of the 18th Henry Primakoff lecture at the University of Pennsylvania, Philadelphia, USA, April 11, 2001 and of the Special lecture given at the 7th International Workshop on Topics in Astroparticle and Underground Physics,…

Popular Physics · Physics 2015-06-26 L. B. Okun

Whether we live in a spatially finite universe, and what its shape and size may be, are among the fundamental long-standing questions in cosmology. These questions of topological nature have become particularly topical, given the wealth of…

Astrophysics · Physics 2009-11-11 M. J. Reboucas
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