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Gravitational-wave astronomy of compact binaries relies on theoretical models of the gravitational-wave signal that is emitted as binaries coalesce. These models do not only need to be accurate, they also have to be fast to evaluate in…

Instrumentation and Methods for Astrophysics · Physics 2020-03-04 Yoshinta Setyawati , Michael Pürrer , Frank Ohme

The aim of this paper is to investigate different types of multi-integrals of finite variation and to obtain decomposition results.

Functional Analysis · Mathematics 2019-12-09 Domenico Candeloro , Luisa Di Piazza , Kazimierz Musial , Anna Rita Sambucini

We give a short survey on plurisubharmonic interpolation, with focus on possibility of connecting two given plurisubharmonic functions by plurisubharmonic geodesic.

Complex Variables · Mathematics 2023-07-07 Alexander Rashkovskii

We present a brief review on the Impulse Approximation method to study processes of scattering off composite particles. We first construct the model in a non-relativistic fashion that enables us to extend the model to a covariant Impulse…

Nuclear Theory · Physics 2007-05-23 Maurizio De Sanctis , Mario A. Acero , Diego A. Milanes , Carlos E. Sandoval

A possibility to realize isotropic artificial backward-wave materials is theoretically analyzed. An improved mixing rule for the effective permittivity of a composite material consisting of two sets of resonant dielectric spheres in a…

Materials Science · Physics 2015-06-25 L. Jylha , I. Kolmakov , S. Maslovski , S. Tretyakov

We construct an integral PBW basis and an integral crystal basis of the quantum affine algebra of type A$_{2}^{(2)}$.

Quantum Algebra · Mathematics 2016-09-07 Tatsuya Akasaka

In this paper, we establish some new general Opial inequalities for Widder derivatives.

Functional Analysis · Mathematics 2014-03-12 Sajid Iqbal , Josip Pecarić

We describe the additive subgroups of fields which are closed with respect to taking inverses. In particular, in characteristic different from two any such subgroup is either a subfield or the kernel of the trace map of a quadratic…

Rings and Algebras · Mathematics 2011-11-09 Sandro Mattarei

Phasing formulas in a recent paper of ours' (Phys. Rev. D 63, 044023-1 (2001) are updated taking into account the recent 3.5PN results. Some misprints in the published version of the recent paper are also corrected.

General Relativity and Quantum Cosmology · Physics 2009-11-07 Thibault Damour , Bala R. Iyer , B. S. Sathyaprakash

The obvious way to construct a GDD (group-divisible design) recursively is to use Wilson's Fundamental Construction for GDDs (WFC). Then a PBD (pairwise balanced design) is often obtained by adding a new point to each group of the GDD.…

Combinatorics · Mathematics 2024-03-27 Douglas R. Stinson

We discuss on very general grounds possible lineshapes of composite particles with one unstable constituent. Expressions are derived in a coupled-channel formalism for constituents interacting in an S-wave with no assumption made on the…

High Energy Physics - Phenomenology · Physics 2014-11-20 C. Hanhart , Yu. S. Kalashnikova , A. V. Nefediev

Contents: I. Introduction; II. Summary of optimal signal filtering; III. Newtonian binary polarization waveforms; IV. Newtonian orbital phase evolution; V. Post-Newtonian wave-generation; VI. Inspiral binary waveform.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Luc Blanchet

Explicit generators are found for the group of automorphisms of the algebra of one-sided inverses of a polynomial algebra in $n$ variables. An analogue of the polynomial Jacobian homomorphism is found.

Algebraic Geometry · Mathematics 2009-06-22 V. V. Bavula

In this note, we present an algorithm that yields many new methods for constructing doubly stochastic and symmetric doubly stochastic matrices for the inverse eigenvalue problem. In addition, we introduce new open problems in this area that…

Spectral Theory · Mathematics 2012-02-15 Bassam Mourad , Hassan Abbas , Ayman Mourad , Ahmad Ghaddar , Issam Kaddoura

Generalized inverses of tensors play increasingly important roles in computational mathematics and numerical analysis. It is appropriate to develop the theory of generalized inverses of tensors within the algebraic structure of a ring. In…

Rings and Algebras · Mathematics 2021-09-24 Ratikanta Behera , Jajati Keshari Sahoo , R. N. Mohapatra , M. Zuhair Nashed

We compute the motivic nearby cycles of functions obtained by composition of two functions with distinct sets of variables with a two variable function

Algebraic Geometry · Mathematics 2011-02-25 G. Guibert , F. Loeser , M. Merle

An improved inverse simulated annealing method is presented to determine the structure of complex disordered systems from first principles in agreement with available experimental data or desired predetermined target properties. The…

Materials Science · Physics 2014-10-07 Jan H. Los , Silvia Gabardi , Marco Bernasconi , Thomas D. Kühne

We present an efficient technique for calculating the angular two-point correlation functions (or ``overlap reduction functions'') induced by gravitational waves in both the pulse arrival times of pulsars and in the angular deflections of…

Cosmology and Nongalactic Astrophysics · Physics 2024-09-27 Keisuke Inomata , Marc Kamionkowski , Celia M. Toral , Stephen R. Taylor

The periodic standing-wave method for binary inspiral computes the exact numerical solution for periodic binary motion with standing gravitational waves, and uses it as an approximation to slow binary inspiral with outgoing waves. Important…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Zeferino Andrade , Christopher Beetle , Alexey Blinov , Benjamin Bromley , Lior M. Burko , Maria Cranor , Robert Owen , Richard H. Price

We look for differential equations satisfied by the generalized Jacobi polynomials which are orthogonal on the interval [-1,1] with respect to a weight function consisting of the classical Jacobi weight function together with point masses…

Classical Analysis and ODEs · Mathematics 2007-05-23 J. Koekoek , R. Koekoek