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Comment on ``Microarrays, Empirical Bayes and the Two-Groups Model'' [arXiv:0808.0572]

Methodology · Statistics 2008-08-06 Yoav Benjamini

The double exponential formula was introduced for calculating definite integrals with singular point oscillation functions and Fourier-integrals. The double exponential transformation is not only useful for numerical computations but it is…

General Mathematics · Mathematics 2017-04-25 Arezoo Khatibi , Omid Khatibi

This article presents a comprehensive overview and supplement to recent developments in second-order elliptic partial differential equations formulated in double divergence form, along with an exploration of their parabolic counterparts.

Analysis of PDEs · Mathematics 2025-04-08 Seick Kim

We present full classification of Q-conditional symmetries for the two-dimensional nonlinear wave equation.

Mathematical Physics · Physics 2009-10-13 Irina Yehorchenko

We introduce several definitions of energy density of Brody curves and show that they give the same value in an appropriate situation.

Complex Variables · Mathematics 2012-02-08 Masaki Tsukamoto

An elementary theory of strict $\infty $-categories with application to concrete duality is given. New examples of first and second order concrete duality are presented.

Category Theory · Mathematics 2007-05-23 G. V. Kondratiev

We use covariants of binary sextics to describe the structure of modules of scalar-valued or vector-valued Siegel modular forms of degree 2 with character, over the ring of scalar-valued Siegel modular forms of even weight. For a modular…

Algebraic Geometry · Mathematics 2019-08-14 Fabien Cléry , Carel Faber , Gerard van der Geer

The current status of the Standard Model predictions for the muon anomalous magnetic moment is described. Various contributions expected in the Standard Model are discussed. After the reevaluation of the leading-order hadronic term based on…

High Energy Physics - Experiment · Physics 2015-05-13 S. I. Eidelman

A brief review of the construction and classifiaction of the bicovariant differential calculi on quantum groups is given.

High Energy Physics - Theory · Physics 2007-05-23 B. Jurco

We describe a 2-dimensional analogue of track categories, called two-track categories, and show that it can be used to model categories enriched in 2-type mapping spaces. We also define a Baues-Wirsching type cohomology theory for track…

Algebraic Topology · Mathematics 2010-02-18 David Blanc , Simona Paoli

We explain how the computation of induced crossed modules allows the computation of certain homotopy 2-types and, in particular, second homotopy groups. We discuss various issues involved in computing induced crossed modules and give some…

Algebraic Topology · Mathematics 2007-05-23 Ronald Brown , Christopher D. Wensley

We prove, under suitable conditions, a lower bound on the number of pinned distances determined by small subsets of two-dimensional vector spaces over fields. For finite subsets of the Euclidean plane we prove an upper bound for their…

Combinatorics · Mathematics 2020-12-16 Ben Lund , Giorgis Petridis

We propose the existence theorem for bounded solutions to the system of 2-nd order ODE. Dynamical applications have been considered.

Dynamical Systems · Mathematics 2015-03-03 Oleg Zubelevich

This note deals with the computation of the factorization number $F_2(G)$ of a finite group $G$. By using the M\"{o}bius inversion formula, explicit expressions of $F_2(G)$ are obtained for two classes of finite abelian groups, improving…

Group Theory · Mathematics 2015-02-18 Marius Tarnauceanu

The main purpose of this work is to introduce and analyse some generalizations of diverse superposition rules for first-order differential equations to the setting of second-order differential equations. As a result, we find a way to apply…

Mathematical Physics · Physics 2015-05-27 J. F. Cariñena , J. de Lucas

We give a canonical form of m-by-2-by-2 matrices for equivalence over any field of characteristic not two.

Representation Theory · Mathematics 2007-10-04 Genrich Belitskii , Maxim Bershadsky , Vladimir V. Sergeichuk

Alternative approaches to Lebesgue integration are considered.

Functional Analysis · Mathematics 2007-05-23 Gyula Lakos

This is supplementary material for the article arxiv:0708.3250. We provide an alternative introduction of the mean Euler Characteristic, additional examples and the percolation thresholds for 2-uniform lattices.

Statistical Mechanics · Physics 2008-01-13 Richard A. Neher , Klaus Mecke , Herbert Wagner

Double Fibonacci sequences are introduced and they are related to operations with Fibonacci modules. Generalizations and examples are also discussed.

Commutative Algebra · Mathematics 2008-10-23 Abdul Rauf Nizami

The method of intermediate-energy Coulomb excitation has been widely used to determine absolute B(E2; 0+ -> 2+) quadrupole excitation strengths in exotic nuclei with even numbers of protons and neutrons. Transition rates measured with…

Nuclear Experiment · Physics 2007-05-23 J. M. Cook , T. Glasmacher , A. Gade
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