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In an article entitled The Counterexample of a theorem in Wiener index of a fuzzy graph and application to illegal immigration networks, we have shown a few examples of incorrect proof of a theorem in the Wiener index. Now, in this article,…

综合数学 · 数学 2021-03-30 Masoud Ghods , Zahra Rostami

We revisit the estimation of higher order corrections to the angular power spectra of weak gravitational lensing. Extending a previous calculation of Cooray and Hu, we find two additional terms to the fourth order in potential perturbations…

天体物理学 · 物理学 2011-05-12 Charles Shapiro , Asantha Cooray

In a recent letter [Information Processing Letters~104 (2007) 152-158], it has shown some sufficient conditions for commutativity of quantum weakest preconditions. This paper provides some alternative and simple characterizations for the…

计算机科学中的逻辑 · 计算机科学 2023-07-19 Tianrong Lin

Our published paper contains an incorrect statement of a result due to Artin and Zhang. This corrigendum gives the correct statement of their result and includes a new result that allows us to use their result to prove our main theorem.…

环与代数 · 数学 2012-01-24 Cody Holdaway , S. Paul Smith

This paper has been withdrawn by the authors, due to an error in the proof of Lemma 3.1.

数学物理 · 物理学 2007-05-23 Michael Aizenman , Alexander Elgart , Jeffrey H. Schenker

We do not know whether the main result is true, the proof of theorem 2.1 contains a gap.

几何拓扑 · 数学 2020-04-28 Z. Jelonek , H. Zołądek

This version of the paper corrects an inaccuracy in the proof of Theorem 2.9 in the published version. The main results remain unchanged.

数论 · 数学 2023-01-02 Florin P. Boca , Alexandru Zaharescu

The inequality of Clauser and Horne [ Phys. Rev. D 10, 526 (1974)], intended to overcome the limited scope of other inequalities to deterministic theories, is shown to have a resticted validity even in case of perfect detectors and perfect…

量子物理 · 物理学 2007-05-23 Ramon Risco-Delgado

We prove that rationally connected varieties over the function field of a complex curve satisfy weak approximation for places of good reduction.

代数几何 · 数学 2009-11-10 Brendan Hassett , Yuri Tschinkel

John Lesieutre constructed an example satisfying $\kappa_\sigma\ne \kappa_\nu$. This says that the proof of the inequalities in Theorems 1.3, 1.9, and Remark 3.8 in [O. Fujino, On subadditivity of the logarithmic Kodaira dimension, J. Math.…

代数几何 · 数学 2019-12-24 Osamu Fujino

This is a list of corrections for the book: J. Noguchi and T. Ochiai, Geometric Function Theory in Several Complex Variables, xi + 282 pp., Math.\ Monographs Vol.\ {\bf 80}, Amer.\ Math.\ Soc., Providence, 1990. The authors hope that this…

复变函数 · 数学 2009-09-25 J. Noguchi , T. Ochiai

This paper continues the author's previous study \cite{Kura20}, showing that several weak principles inspired by non-normal modal logic suffice to derive various refined forms of the second incompleteness theorem. Among the main results of…

逻辑 · 数学 2025-08-12 Taishi Kurahashi

(i) We provide a short and simple proof of the first selection lemma. (ii) We also prove a selection lemma of a new type in $\Re^d$. For example, when $d=2$ assuming $n$ is large enough we prove that for any set $P$ of $n$ points in general…

离散数学 · 计算机科学 2015-12-24 Alexandre Rok , Shakhar Smorodinsky

It is a correction paper on "P.J. Wan and C.W. Yi, "Coverage by Randomly Deployed Wireless Sensor Networks", IEEE Transaction On Information Theory, vol.52, No.6, June 2006." In the above paper, Lemma (4), on page 2659 play the key role for…

信息论 · 计算机科学 2009-04-23 Bhupendra Gupta

In a recent paper [ J. Stat. Mech. P07006 (2004)], E.G.D. Cohen and David Mauzerall (CM) have argued that the derivation of the nonequilibrium work relation given in [C. Jarzynski, Phys. Rev. Lett. 78, 2690 (1997)] is flawed. Here I attempt…

统计力学 · 物理学 2007-05-23 Chris Jarzynski

Problems in two axiomatizations of Ja\'skowski's discussive (or discursive) logic D2 are considered. A recent axiomatization of D2 and completeness proof relative to D2's intended semantics seems to be mistaken because some formulas valid…

逻辑 · 数学 2014-04-01 Jesse Alama

In a comment by A.A. Zvyagin the phase diagram in our Letter [Phys. Rev. Lett. 86, 516 (2001)] was critisized of being incomplete and a new fixed point was suggested. We show that this point is in fact not a fixed point and that the phase…

强关联电子 · 物理学 2009-11-07 Sebastian Eggert , David P. Gustafsson , Stefan Rommer

Minor technical changes. Section 4 improved.

代数几何 · 数学 2010-10-12 Pietro Corvaja , Umberto Zannier

This is a new version of our previous work. In this version, we fill a gap included in the original proof of Theorem 1.1 in our previous paper entitled "An iterative method for Kirchhoff type equations and its applications".

偏微分方程分析 · 数学 2021-03-09 Qiuyi Dai

This paper is being withdrawn because an error was discovered in lemma 4.3. Although the rest of the paper appears to be correct, this error invalidates the proof of theorem 3.1 and theorem 3.3.

度量几何 · 数学 2007-05-23 Lewis Bowen