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The goal of this short note is to point out three observations around the Grothendieck norm and semidefinite programming. The first is that the Grothendieck norm captures the difficulty of relating the off-diagonal entries of a real,…

Functional Analysis · Mathematics 2022-10-11 Thomas Sinclair , Naveen Vivek

This is a letter to editor, about a previously published paper and comments.

General Physics · Physics 2007-05-23 Juhi-Lian Julian Ting

Recently developed applications in the field of machine learning and computational physics rely on automatic differentiation techniques, that require stable and efficient linear algebra gradient computations. This technical note provides a…

Numerical Analysis · Mathematics 2025-11-19 Jan Naumann

We update our paper: The collapse of Bell determinism (Physics Letters A, 359 (2006): 122-125; available online 16 June 2006). First, we point out that Olivier Brunet, using lattice theoretic methods, has recently, and quite independently,…

Quantum Physics · Physics 2007-05-23 James D. Malley

Withdrawn -- a revised version will appear in due course.

Astrophysics · Physics 2007-05-23 Adrian Kent

Grothendieck proposed a theory of regular polyhedra over finite fields in Section 4 of \textit{Esquisse d'un Programme}. He isolates certain key parameters from the automorphism groups of regular polyhedra, which can be extended to any…

Group Theory · Mathematics 2023-04-10 Caleb Ji

Book Chapter from "Coarse-Grained Modeling of Biomolecules" part of the submitted "Series in Computational Biophysics"

Soft Condensed Matter · Physics 2015-09-30 M. G. Guenza

In this letter we propose the development of guidelines by the main editors associations as well as protocols within online journal management systems for keeping track of rejected manuscripts that are resubmitted as well as for the…

Digital Libraries · Computer Science 2013-09-11 Nicolas Robinson-Garcia , Daniel Torres-Salinas , J. M. Campanario , Emilio Delgado López-Cózar

When PageRank began to be used for ranking in Web search, a concern soon arose that older pages have an inherent --- and potentially unfair --- advantage over emerging pages of high quality, because they have had more time to acquire…

Digital Libraries · Computer Science 2015-12-02 Mayank Singh , Rajdeep Sarkar , Pawan Goyal , Animesh Mukherjee , Soumen Chakrabarti

Submission was withdrawn by authors. arXiv:math/0305140

Differential Geometry · Mathematics 2019-01-08 Andrei Moroianu , Liviu Ornea

The content of this paper is now available as part of arXiv:0802.2019

Quantum Physics · Physics 2008-02-15 Cosmo Lupo

Using Singular Rescaling We Prove Some Bifurcation Results. This note Presents short proofs for some Bifurcation results which had been appeared with other authors.

Dynamical Systems · Mathematics 2024-04-16 Ali Taghavi

The exposition has been significantly altered, hopefully improved.

alg-geom · Mathematics 2008-02-03 J. M. Landsberg

In this paper, we present and prove a new truncated $\mathcal{V}$-fractional Taylor's formula using the truncated $\mathcal{V}$-fractional variation of constants formula. In this sense, we present the truncated $\mathcal{V}$-fractional…

Classical Analysis and ODEs · Mathematics 2017-07-10 J. Vanterler da C. Sousa , E. Capelas de Oliveira

In this article, we describe some discursive segmentation methods as well as a preliminary evaluation of the segmentation quality. Although our experiment were carried for documents in French, we have developed three discursive segmentation…

Computation and Language · Computer Science 2020-06-15 Rémy Saksik , Alejandro Molina-Villegas , Andréa Carneiro Linhares , Juan-Manuel Torres-Moreno

Historically, spectroscopic techniques have been essential for studying the optical properties of thin solid films. However, existing formulae for both normal transmission and reflection spectroscopy often rely on simplified theoretical…

In a recent paper, J.-B. Bost establishes a criterion for certain ``formal subvarieties'' of algebraic varieties to be algebraic. His theorem unifies and generalizes results of Chudnovsky's and Y. Andr\'e, motivated by an arithmetic…

Number Theory · Mathematics 2007-05-23 Antoine Chambert-Loir

These notes are a brief summary of the main results from the book `Discriminants, Resultants and Multidimensional Determinants' by Gelfand-Kapranov-Zelevinsky. We sketch the key ideas involved in the proofs, using as little technical…

Algebraic Geometry · Mathematics 2024-12-20 Ed Segal

These brief remarks have been prepared in connection with a conference in honor of my thesis advisor, Richard Rochberg.

Classical Analysis and ODEs · Mathematics 2011-11-09 Stephen Semmes

The paper of Unal [J. Math. Phys. 59, 062104 (2018)], though worthy of attention, contains a conclusion that is in error and may mislead the efforts to extend his results. The aim of the present note is twofold: we provide a correction to…

Quantum Physics · Physics 2019-05-23 Kevin Zelaya , Oscar Rosas-Ortiz