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A few families of counterexamples are provided to "A proof that the discrete singular convolution (DSC)/Lagrange-distributed approximation function (LDAF) method is inferior to high order finite differences", Journal of Computational…

Numerical Analysis · Mathematics 2009-11-11 G. W. Wei , Shan Zhao

We offer further results on a general size-biased distribution related to the Riemann xi-function we presented in [9] using the work of Ferrar. Curious properties associated with its expected value are presented, which are related to…

Number Theory · Mathematics 2026-04-14 Alexander E. Patkowski

Correction to Annals of Applied Probability 17 (2007) 781--808 [doi:10.1214/105051607000000032].

Probability · Mathematics 2007-11-07 Stephen B. Connor , Wilfrid S. Kendall

This article was originally published in Topology 22 (1983). The present hyperTeXed redaction includes references to post-1983 results as Addenda, and corrects a few typographical errors. (See math.GT/0411115 for a more comprehensive…

Geometric Topology · Mathematics 2007-05-23 Lee Rudolph

I could not get this paper published; it was considered uninteresting by the referee. And now, several years later, I also detect (what seems to be) a serious error in it. This general line of research may still, however, be of some…

Algebraic Geometry · Mathematics 2009-07-12 Pelle Salomonsson

A complete characterization of near subnormality for bilateral weighted shifts is obtained. As an application of the main results, many new answers to the Hilbert space problem 160 are presented at the end of the paper.

Functional Analysis · Mathematics 2007-05-23 Wang Gong-bao , Ma Ji-pu

In the article [Petojevic 2006], A. Petojevi\' c verified useful properties of the $K_{i}(z)$ functions which generalize Kurepa's [Kurepa 1971] left factorial function. In this note, we present simplified proofs of two of these results and…

Number Theory · Mathematics 2007-06-13 Branko J. Malesevic

Due to a significant error in the main result (pointed out by J. Wahl), the paper has been withdrawn by the authors. A corrected and expanded version is 'Rational blow-downs and smoothings of surface singularities' by A. Stipsicz, Z. Szabo…

Geometric Topology · Mathematics 2007-05-23 Andras I. Stipsicz , Zoltan Szabo

Error estimation is given for a regularized Shannon's sampling formulae, which was found to be accurate and robust for numerically solving partial differential equations.

Numerical Analysis · Mathematics 2025-10-20 Liwen Qian , G. W. Wei

I review the progress in fundamental spin physics over the past several years and the prospects for the future. The progress is striking and the prospects are excellent.

High Energy Physics - Phenomenology · Physics 2009-11-07 Robert L. Jaffe

Paper erroneously re-submitted as duplicte. Readers should look at math-ph/9909004.

Quantum Physics · Physics 2007-05-23 Gavriel Segre

The Comments are devoted to the paper ``Solutions of Multitime Reaction-Diffusion PDE'' (Mathematics, vol. 10 (2022), 3623), in which main results are misleading and can be derived in a simple way from those obtained earlier. Moreover, it…

Analysis of PDEs · Mathematics 2023-02-27 Roman Cherniha

There is a mathematical error in the first version of this paper. A new corrected version will be posted when the error is fixed, possibly with a modified title.

Probability · Mathematics 2009-01-07 Carl Graham

In this appendix we provide additional supplementary material to "A Collective, Probabilistic Approach to Schema Mapping." We include an additional extended example, supplementary experiment details, and proof for the complexity result…

Databases · Computer Science 2017-02-14 Angelika Kimmig , Alex Memory , Renee J. Miller , Lise Getoor

In this paper we first introduce the Heron and Heinz means of two convex functionals. Afterwards, some inequalities involving these functional means are investigated. The operator versions of our theoretical functional results are…

Functional Analysis · Mathematics 2018-12-20 Mustapha Raïssouli , Shigeru Furuichi

This expository article written for the Notices of the American Mathematical Society provides an overview of transcendental functions arising as solutions of the discrete Painlev\'e equations, for which the developments of the last two…

Classical Analysis and ODEs · Mathematics 2020-02-26 Nalini Joshi

This is a preface introducing a Special Issue on the topic of "Guided-Wave Optics" published by Applied Sciences. The Special Issue is a collection of 20 original and review articles dealing with various fundamental and applied aspects of…

Optics · Physics 2017-09-19 Boris A. Malomed

The paper study the discrete sets of translations of the Gaussian function that span the spaces L1(R) and L2(R).

Classical Analysis and ODEs · Mathematics 2008-12-03 Gerard Ascensi

Considering the class of almost periodic functions in the Stepanov sense we extend and generalize the results of the first author [4]. as well as the results of L. Leindler [3] and P. Chandra [1,2].

Classical Analysis and ODEs · Mathematics 2012-12-06 Wlodzimierz Lenski , Bogdan Szal

We determine the precise conditions under which any skew Schur function is equal to a Schur function over both infinitely and finitely many variables.

Combinatorics · Mathematics 2007-06-22 Stephanie van Willigenburg
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