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This paper has been withdrawn by the author, due to a crucial error in page 5.

General Mathematics · Mathematics 2009-02-06 Julio Alcantara-Bode

We consider a generalization of the classic Sperner lemma. This lemma states that every Sperner coloring of a triangulation of a simplex contains a fully colored simplex. We found a weaker assumption than Sperner's coloring. It is also…

Combinatorics · Mathematics 2014-05-30 Oleg R Musin

For the convenience of readers of the article {\em No-arbitrage pricing under systemic risk: accounting for cross-ownership} (Fischer, 2012, arXiv:1005.0768), a full proof of Lemma A.5 and a shorter proof of Lemma A.6 of that paper are…

Pricing of Securities · Quantitative Finance 2012-06-22 Tom Fischer

The helping Lemma 7 in [Maslowski and Wijsen, ICDT, 2014] is false. The lemma is used in (and only in) the proof of Theorem 3 of that same paper. In this corrigendum, we provide a new proof for the latter theorem.

Databases · Computer Science 2019-04-01 Jef Wijsen

We correct an error in the second part of Theorem 3 of our original paper (arXiv:1512.07161).

Differential Geometry · Mathematics 2017-01-02 Boris Kruglikov , Henrik Winther

The explicit computation of arXiv:hep-th/0112157 and arXiv:hep-th/0108106 prove that all the cubic alpha-prime corrections to the backgrounds composed of metric, NS two-form and dilaton can not be written in term of the modified Riemann…

High Energy Physics - Theory · Physics 2008-01-16 Qasem Exirifard

In this article, we give a positive answer to the cycle double cover conjecture. Ones who are mainly interesting in the proof of the conjecture can only read Sections 2 and 4.

Combinatorics · Mathematics 2017-12-20 Bin Shen

We derive the weak value deflection given in a paper by Dixon et al. (Phys. Rev. Lett. 102, 173601 (2009)) both quantum mechanically and classically. This paper is meant to cover some of the mathematical details omitted in that paper owing…

Unfortunately, some proofs in the first version of this paper were incorrect. In this revised version, some minor gaps are fixed, one serious mistake found. The main theorem is now claimed only under a restrictive technical assumption. This…

Algebraic Geometry · Mathematics 2007-05-23 D. Kaledin

A large class of MDS linear codes is constructed. These codes are endowed with an efficient decoding algorithm. Both the definition of the codes and the design of their decoding algorithm only require from Linear Algebra methods, making…

Information Theory · Computer Science 2020-06-02 José Gómez-Torrecillas , Gabriel Navarro , José Patricio Sánchez-Hernández

This letter aims at resolving the issues raised in the recent short communication [1] and answered by [2] by proposing a systematic approximation scheme based on non-mapped shape functions, which both allows to fully exploit the unique…

Numerical Analysis · Computer Science 2011-07-20 Stephane PA Bordas , Sundararajan Natarajan

Kedem's Comment [arXiv:1402.1352] on our Letter [PRL 112, 040406 (2014)] contains only the criticism that we did not consider complex weak values. We point out follow-up work which uses the same analysis as in our Letter, includes any type…

Quantum Physics · Physics 2014-02-13 Christopher Ferrie , Joshua Combes

We review the available constraints on the low energy supersymmetry. The bulk of the electroweak data is well screened from supersymmetric loop effects, due to the structure of the theory, even with superpartners generically light, ${\cal…

High Energy Physics - Phenomenology · Physics 2007-05-23 P. H. Chankowski

This paper has been withdrawn by the author due to the gaps in the proofs of Proposition 2.2 and Proposition 3.2

Algebraic Geometry · Mathematics 2009-09-29 Ilya Tyomkin

Due to a computational mistake this paper has been withdrawn.

High Energy Physics - Theory · Physics 2007-05-23 T. Ioannidou , B. Piette , W. J. Zakrzewski

This paper has been withdrawn. See v1 still available to understand the problem: Proposition 2.2 is false. The error in the proof is in claim (3). Then, the whole paper collapses. We do not have any correction for now. We apologize to…

Probability · Mathematics 2007-07-31 Michel Benaim , Itai Benjamini , Raphael Rossignol

Vector algebra is a powerful and needful tool for Physics but unfortunately, due to lack of mathematical skills, it becomes misleading for first undergraduate courses of science and engineering studies. Standard vector identities are…

General Physics · Physics 2009-04-14 Miguel Angel Rodriguez-Valverde , Maria Tirado-Miranda

For positive integers $s$ and $L \geq 3$, Berkovich and Uncu (Ann. Comb. $23$ ($2019$) $263$--$284$) conjectured an inequality between the sizes of two closely related sets of partitions whose parts lie in the interval $\{s, \ldots, L+s\}$.…

Combinatorics · Mathematics 2021-08-16 Damanvir Singh Binner , Amarpreet Rattan

We give an exact criterion of a conjecture of L.M.Kelly to hold true which is stated as follows. If there is a finite family $\Sigma$ of mutually skew lines in $\mathbb{R}^l,l\geq 4$ such that the three dimensional affine span (hull) of…

Combinatorics · Mathematics 2022-05-04 C P Anil Kumar , Anoop Singh

We correct the proof of Theorem~8 in [\emph{Weak product spaces of Dirichlet series}, Integral Equations Operator Theory \textbf{86} (2016), no.~4, 453--473.]

Functional Analysis · Mathematics 2023-07-06 Ole Fredrik Brevig , Karl-Mikael Perfekt