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In this paper, we present a unified approach using model category theory and an associative law to compare some classic variants of the geometric realization functor.

Algebraic Topology · Mathematics 2018-04-03 Yi-Sheng Wang

This is the introduction I wrote for the multi-authored book "From Riemann to differential geometry and relativity", edited by L. Ji, A. Papadopoulos and S. Yamada (Berlin, Springer verlag, 2017). The book consists of twenty chapters,…

History and Overview · Mathematics 2017-09-04 Athanase Papadopoulos

We extend the results of Xh. Z. Krasniqi [Acta Comment. Univ. Tartu. Math. 17 (2013), 89-101] and the authors [Acta Comment. Univ. Tartu. Math. 13 (2009), 11-24]. to the case where in the measures of estimations there are used…

Classical Analysis and ODEs · Mathematics 2019-04-08 Wlodzimierz Lenski , Bogdan Szal

The main object of this paper is to present generalizations of gamma, beta and hypergeometric functions. Some recurrence relations, transformation formulas, operation formulas and integral representations are obtained for these new…

Classical Analysis and ODEs · Mathematics 2021-03-16 Enes Ata

There were some errors in paper hep-th/9303018 in formulas 6.1, 6.6, 6.8, 6.11. These errors have been corrected in the present version of this paper. There are also some minor changes in the introduction.

High Energy Physics - Theory · Physics 2009-10-22 Pavel Etingof

A recently introduced canonical divergence $\mathcal{D}$ for a dual structure $(\mathrm{g},\nabla,\nabla^*)$ is discussed in connection to other divergence functions. Finally, open problems concerning symmetry properties are outlined.

Differential Geometry · Mathematics 2019-03-07 Domenico Felice , Nihat Ay

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

This paper is a corrigendum to the article 'On the ideal theorem for number fields`. The main result of this paper proves to be untrue and is replaced by an estimate of a weighted sum with an improved error term.

Number Theory · Mathematics 2020-06-25 Olivier Bordellès

This text is a slightly edited version of lecture notes for a course I gave at ETH, during the Winter term 2000-2001, to undergraduate Mathematics and Physics students. Contents: Chapter 1 - Examples of Dynamical Systems Chapter 2 -…

History and Overview · Mathematics 2007-05-23 Nils Berglund

In the note two errors in Low and Lapsley's article "Optimization Flow Control, I: Basic Algorithm and Convergence", "IEEE/ACM Transactions on Networking", 7(6), pp. 861-874, 1999, are shown. Because of these errors the proofs of both…

Networking and Internet Architecture · Computer Science 2016-10-11 Andrzej Karbowski

This is the second paper in a series of papers aimed at providing a geometric construction of modular functors and topological quantum field theories from conformal field theory building on the constructions in [TUY] and [KNTY]. We give a…

Differential Geometry · Mathematics 2008-11-26 Jorgen Ellegaard Andersen , Kenji Ueno

Discussion of "Feature Matching in Time Series Modeling" by Y. Xia and H. Tong [arXiv:1104.3073]

Methodology · Statistics 2012-01-09 Qiwei Yao

Discussion of "Feature Matching in Time Series Modeling" by Y. Xia and H. Tong [arXiv:1104.3073]

Methodology · Statistics 2012-01-09 Edward L. Ionides

Discussion of "Feature Matching in Time Series Modeling" by Y. Xia and H. Tong [arXiv:1104.3073]

Methodology · Statistics 2012-01-09 Kung-Sik Chan , Ruey S. Tsay

Discussion of "Feature Matching in Time Series Modeling" by Y. Xia and H. Tong [arXiv:1104.3073]

Methodology · Statistics 2012-01-09 Bruce E. Hansen

This is a renovated list of open problems, to appear in: "Affine Algebraic Geometry" conference Proceedings volume in Contemporary Mathematics series of the Amer. Math. Soc. Ed. by Jaime Gutierrez, Vladimir Shpilrain, and Jie-Tai Yu.

Algebraic Geometry · Mathematics 2007-05-23 Mikhail Zaidenberg

We present functional-type a posteriori error estimates in isogeometric analysis. These estimates, derived on functional grounds, provide guaranteed and sharp upper bounds of the exact error in the energy norm. {Moreover, since these…

Numerical Analysis · Mathematics 2014-09-23 Stefan K. Kleiss , Satyendra K. Tomar

We correct the statements and proofs of the (auxiliary) Propositions 4.1 and 4.2 of our paper `Evaluation of motivic functions, non-nullity, and integrability in fibers' in Advances in Mathematics, Vol. 409, Part A, Paper No. 108635, 29…

Algebraic Geometry · Mathematics 2026-05-11 Raf Cluckers , Immanuel Halupczok

A new transformation involving the error function $\textup{erf}(z)$, the imaginary error function $\textup{erfi}(z)$, and an integral analogue of a partial theta function is given along with its character analogues. Another complementary…

Number Theory · Mathematics 2016-05-31 Atul Dixit , Arindam Roy , Alexandru Zaharescu

We correct a partial mistake for a metric presented in the article "Lattice constellation and codes from quadratic number fields" [IEEE Trans. Inform. Theory, vol. 47, No. 4, May. 2001]. We show that the metric defined in the article is not…

Information Theory · Computer Science 2014-12-01 Murat Güzeltepe