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We present additions and improvements in Version 7.5 of FormCalc, most notably OPP methods, Output in C, MSSM initialization via FeynHiggs, and Analytic tensor reduction, as well as a parallelized Cuba library for numerical integration.

High Energy Physics - Phenomenology · Physics 2012-10-10 S. Agrawal , T. Hahn , E. Mirabella

This note concerns a search for publications in which the pragmatic concept of a test as conducted in the practice of software testing is formalized, a theory about software testing based on such a formalization is presented or it is…

Software Engineering · Computer Science 2010-08-17 C. A. Middelburg

Let $M$ be a closed simply connected $7$-manifold. In this paper we establish homotopy decompositions of the reduced suspension space $\Sigma M$ into a wedge sum of simpler spaces when localized at a set of primes. These decompositions are…

Algebraic Topology · Mathematics 2025-08-19 Ruizhi Huang , Pengcheng Li

In the paper, the authors find two closed forms involving the Stirling numbers of the second kind and in terms of a determinant of combinatorial numbers for the Bernoulli polynomials and numbers.

Combinatorics · Mathematics 2015-09-15 Feng Qi , Robin J. Chapman

Binet formulae for three versions of third-order Pell polynomials are derived.

Number Theory · Mathematics 2020-12-03 Helmut Prodinger

This short paper discusses continually updated causal abstractions as a potential direction of future research. The key idea is to revise the existing level of causal abstraction to a different level of detail that is both consistent with…

Artificial Intelligence · Computer Science 2023-01-10 Matej Zečević , Moritz Willig , Jonas Seng , Florian Peter Busch

This article summarizes recent trends in mobile biometrics.

Cryptography and Security · Computer Science 2014-10-07 Stefan G. Weber

In this paper we prove that a generic rational equation of degree $7$ is solvable by 2-fold origami. In particular we show how to septisect an arbitrary angle. This extends the work of Alperin & Lang and Nishimura on 2-fold origami.…

Algebraic Geometry · Mathematics 2015-04-28 Joachim König , Dmitri Nedrenco

Technologies in mathematical education has been a theme present at CERME from the first edition. The available technologies have evolved a lot during these years. At CERME 5 conference, the conclusions of the technology Working Group…

History and Overview · Mathematics 2010-07-26 Ghislaine Gueudet , Bottino Rosa-Maria , Chiappini Giampaolo , Hegedus Stephen , Weigand Hans-Georg

In this survey we discuss some combinatorial aspects of higher cluster categories.

Representation Theory · Mathematics 2010-12-22 Aslak Bakke Buan

This paper briefly reviews past milestones in the field of medical image reconstruction and describes some future directions. It is part of an overview paper on "open problems in signal processing" that will appear in IEEE Signal Processing…

Medical Physics · Physics 2017-07-20 Jeffrey A. Fessler

This paper is a companion to our prior paper arXiv:0705.4619 on the `Small Ball Inequality in All Dimensions.' In it, we address a more restrictive inequality, and obtain a non-trivial, explicit bound, using a single essential estimate from…

Classical Analysis and ODEs · Mathematics 2007-09-19 Dmitriy Bilyk , Michael T Lacey , Armen Vagharshakyan

Epistemic protocols represents a current field of interest, with numerous approaches still being studied. In this paper we formalize parallel sessions of the The Muddy Children Puzzle using Public Observation Logic, a system that allows…

Logic in Computer Science · Computer Science 2023-09-26 Bogdan Macovei

We present a concise review of the status of the Standard Model and of the search for new physics.

High Energy Physics - Phenomenology · Physics 2008-12-22 Guido Altarelli

Some recent additions to FORM are discussed. In particular large file support and the tablebases are presented.

High Energy Physics - Phenomenology · Physics 2009-11-07 J. A. M. Vermaseren

This is a list of several open problems dealing mainly with univariate polynomials.

Classical Analysis and ODEs · Mathematics 2015-03-19 B. Shapiro

We obtain a small improvement of Gallagher's larger sieve and we extend it to higher dimensions. We also obtain two interesting upper bounds for the number of solutions to polynomial congruences.

Number Theory · Mathematics 2018-12-27 Patrick Letendre

This is a Snowmass whitepaper on physical mathematics. It briefly summarizes and highlights some of the key questions drawn from a much more extensive essay, by the same authors, entitled, "A Panorama Of Physical Mathematics 2021."

High Energy Physics - Theory · Physics 2022-03-11 Ibrahima Bah , Daniel Freed , Gregory W. Moore , Nikita Nekrasov , Shlomo S. Razamat , Sakura Schäfer-Nameki

These notes contain everything necessary to run a flipped course on "The Atmosphere" at an introductory undergraduate level. There are notes for the students to read before each course meeting and problems for them to work on in small…

Earth and Planetary Astrophysics · Physics 2019-06-27 Dorian S. Abbot

A survey of dictionary models and formats is presented as well as a presentation of corresponding recent standardisation activities.

Computation and Language · Computer Science 2009-11-30 Laurent Romary
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