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Two contributions to the discussion of Fearnhead P. and D. Prangle (2012). Constructing summary statistics for approximate Bayesian computation: Semi-automatic approx- imate Bayesian computation, J. Roy. Statist. Soc. B, 74 (3).

Computation · Statistics 2012-01-10 D. J. Nott , Y. Fan , S. A. Sisson

We give a new approach for the local class field theory of Serre and Hazewinkel. We also discuss two-dimensional local class field theory in this framework.

Number Theory · Mathematics 2013-10-21 Takashi Suzuki

This is a significant revision of the early version of this paper which was posted last December. The speculative section has been removed in light of some recent results of Morita and Kawazumi. Numerous typos have been fixed. The companion…

alg-geom · Mathematics 2008-02-03 Richard Hain

Certain excess versions of the Minkowski and H\"older inequalities are given. These new results generalize and improve the Minkowski and H\"older inequalities.

Probability · Mathematics 2018-07-31 Iosif Pinelis

This paper is an appendix to the paper "Reasoning with Justifiable Exceptions in Contextual Hierarchies" by Bozzato, Serafini and Eiter, 2018. It provides further details on the language, the complexity results and the datalog translation…

Artificial Intelligence · Computer Science 2018-08-07 Loris Bozzato , Luciano Serafini , Thomas Eiter

Some formulas and speculations are presented relative to integrable systems and quantum mechanics.

High Energy Physics - Theory · Physics 2007-05-23 Robert Carroll

Here we give a short survey of our new results. References to the complete proofs can be found in the text of this article and in the litterature.

Combinatorics · Mathematics 2009-10-16 Vitaliy Koshelev

This work is a continuation of what was done in a previous paper and strongly connected to the recent work of U. Abel and I. Rasa [arXiv:1707.00127]

Classical Analysis and ODEs · Mathematics 2018-06-22 Bogdan Gavrea

In the paper based on the question of Zhang and L\"{u}[15], we present one theorem which will improve and extend the results of Banerjee-Majumder [2] and a recent result of Li-Huang [9].

Complex Variables · Mathematics 2022-09-15 Abhijit Banerjee , Bikash Chakraborty

We give a new axiomatization of the N-pseudospace, studied in [2] (Tent(2014)) and [1] (Baudisch,Martin-Pizarro,Ziegler(2014)) based on the zigzags introduced in [2]. We also present a more detailed account of the characterization of…

Logic · Mathematics 2017-05-02 Katrin Tent , Martin Ziegler

We persist in our investigation of the sup-completion of a Dedekind complete Riesz space, extending to the broader context of Riesz spaces. some results initially obtained by Feng, Li, Shen, and also by Erd\"os, and R\'enyi.

Functional Analysis · Mathematics 2024-03-28 Youssef Azouzi , Youssef Nasri

The paper deals with locally bounded solutions of a Schilling's problem.

Classical Analysis and ODEs · Mathematics 2008-02-05 Janusz Morawiec

Addendum to the paper Combinatorics of the Modular Group II The Kontsevich integrals, hep-th/9201001, by C. Itzykson and J.-B. Zuber (3 pages)

High Energy Physics - Theory · Physics 2008-02-03 C. Itzykson , J. -B. Zuber

A discussion on the contribution of Peshkov, Bertin, Ginelli and Chate, arxiv:1404.3275v1, in this special issue.

Statistical Mechanics · Physics 2015-02-24 Thomas Ihle

In this note we give some remarks and improvements on a recent paper of us [3] about an optimization problem for the $p-$Laplace operator that were motivated by some discussion the authors had with Prof. Cianchi.

Analysis of PDEs · Mathematics 2009-01-15 Leandro Del Pezzo , Julián Fernández Bonder

Alternative approaches to Lebesgue integration are considered.

Functional Analysis · Mathematics 2007-05-23 Gyula Lakos

We prove that the inequality used recently by Wilk and W{\l}odarczyk [Phys. Rev. A {\bf 79}, 062108 (2009)] to find a better lower bound in the uncertainty relations for the R\'enyi entropies is invalid. Thus, the problem of improving the…

Quantum Physics · Physics 2015-05-18 Iwo Bialynicki-Birula , Lukasz Rudnicki

A comment on a recent paper (PRL {\bf 94}, 226405 (2005)) by S. De Palo, M. Botti, S. Moroni, and Gaetano Senatore.

Strongly Correlated Electrons · Physics 2007-05-23 Ying Zhang , S. Das Sarma

We begin by introducing the main ideas of the paper under discussion. We discuss some interesting issues regarding adaptive component-wise credible intervals. We then briefly touch upon the concepts of self-similarity and excessive bias…

Statistics Theory · Mathematics 2018-01-30 William Weimin Yoo