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Symmetries and reductions of some algebraic equations are considered. Transformations that preserve the form of several algebraic equations, as well as transformations that reduce the degree of these equations, are described. Illustrative…

Numerical Analysis · Mathematics 2024-07-26 Inna K. Shingareva , Andrei D. Polyanin

This article presents an equivalent formulation of the implicit complementarity problem. We demonstrate that solution of the equivalent formulation is equivalent to the solution of the implicit complementarity problem. Moreover, we provide…

Optimization and Control · Mathematics 2023-12-08 Bharat Kumar , Deepmala , A. K. Das

Some explanations to Kaldi's PLDA implementation to make formula derivation easier to catch.

Machine Learning · Computer Science 2018-04-03 Ke Ding

This note contains a short proof of the functional equation for the zeta function.

Number Theory · Mathematics 2022-01-19 Keith Ball

This is a Reply to the Comment posted as arXiv:1207.1261.

Superconductivity · Physics 2015-06-12 Qi Li , D. Belitz , John Toner

This paper addresses different aspects of "coupled" model descriptions in computational electromagnetics. This includes domain decomposition, multiscale problems, multiple or hybrid discrete field formulation and multi-physics problems.…

Computational Engineering, Finance, and Science · Computer Science 2023-03-16 Markus Clemens , Sebastian Schöps , Carsten Cimala , Nico Gödel , Simon Runke , Daniel Schmidthäusler , Thomas Timm

A consistently specified halting function may be computed.

Logic in Computer Science · Computer Science 2016-06-29 Eric C. R. Hehner

This note provides new closed forms evaluations of a few classes of exponential sums associated with elliptic curves and hyperelliptic curves.

Number Theory · Mathematics 2011-03-23 N. A. Carella

In this paper, we study the weighted sums of multiple t-values and of multiple t-star values at even arguments. Some general weighted sum formulas are given, where the weight coefficients are given by (symmetric) polynomials of the…

Number Theory · Mathematics 2019-08-09 Zhonghua Li , Ce Xu

In terms of the derivative operator and three hypergeometric series identities, several interesting summation formulas involving generalized harmonic numbers are established.

Combinatorics · Mathematics 2016-06-29 Chuanan Wei , Xiaoxia Wang

Howes et al. Reply to Comment on "Kinetic Simulations of Magnetized Turbulence in Astrophysical Plasmas" arXiv:0711.4355

In this paper, we give estimates for both upper and lower bounds of eigenvalues of a simple matrix. The estimates are shaper than the known results.

Numerical Analysis · Mathematics 2014-04-15 J. Chen

Comment on ``Microarrays, Empirical Bayes and the Two-Groups Model'' [arXiv:0808.0572]

Methodology · Statistics 2008-08-06 Kenneth Rice , David Spiegelhalter

Comment on ``Microarrays, Empirical Bayes and the Two-Groups Model'' [arXiv:0808.0572]

Methodology · Statistics 2008-08-06 Yoav Benjamini

This note contains my response to the comment written by J. Franklin on my paper ``Covariant formulation of electrodynamics in isotropic media''.

Classical Physics · Physics 2024-01-09 Palash B. Pal

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

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

Estimates of some integrals related to variations of smooth functions are presented.

Classical Analysis and ODEs · Mathematics 2014-06-24 Anatoly Neishtadt

We define evaluation forms associated to objects in a module subcategory of Ext-symmetry generated by finitely many simple modules over a path algebra with relations and prove a multiplication formula for the product of two evaluation…

Representation Theory · Mathematics 2009-02-03 Jie Xiao , Fan Xu

This document is a companion for the Maple program \textbf{Summing a polynomial function over integral points of a polygon}. It contains two parts. First, we see what this programs does. In the second part, we briefly recall the…

Computational Geometry · Computer Science 2009-05-13 Velleda Baldoni , Nicole Berline , Michèle Vergne

A condensed survey of various aspects of LEP 1 physics is presented with a critical examination of the ingredients that are available for theoretical predictions. A prototype of comparisons for 2f calculations can be found in…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. Passarino