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Choice-Free Dualities for Lattice Expansions: Application to Logics with a Negation Operator
Studia Logica: An International Journal for Symbolic Logic, 2023Constructive dualities have recently been proposed for some lattice-based algebras and a related project has been outlined by Holliday and Bezhanishvili, aiming at obtaining “choice-free spatial dualities for other classes of algebras […\documentclass ...
Chrysafis Hartonas
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A canonical and relational analysis of reference frames and gauge-fixing in general relativity
Classical and quantum gravityThis study develops a canonical framework that relates gauge-fixing procedures with the dynamics of reference frames in general relativity. The central idea is that gauge-fixing conditions can be reinterpreted as the dynamical equations obeyed by the ...
Nicola Bamonti
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Interbasis expansions for the isotropic 3D harmonic oscillator and bivariate Krawtchouk polynomials
, 2013An explicit expression for the general bivariate Krawtchouk polynomials is obtained in terms of the standard Krawtchouk and dual Hahn polynomials. The bivariate Krawtchouk polynomials occur as matrix elements of the unitary reducible representations of ...
Vincent X. Genest, L. Vinet, A. Zhedanov
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Learning single-index models via harmonic decomposition
arXiv.orgWe study the problem of learning single-index models, where the label $y \in \mathbb{R}$ depends on the input $\boldsymbol{x} \in \mathbb{R}^d$ only through an unknown one-dimensional projection $\langle \boldsymbol{w}_*,\boldsymbol{x}\rangle$.
Nirmit Joshi +3 more
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Classical and quantum gravity
We derive the gravitational radiation-reaction (RR) force in the harmonic coordinate system for general orbits in a general frame at the fourth-and-a-half post-Newtonian (4.5PN) order in the case of compact binary systems. Dimensional regularization is
Luc Blanchet +3 more
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We derive the gravitational radiation-reaction (RR) force in the harmonic coordinate system for general orbits in a general frame at the fourth-and-a-half post-Newtonian (4.5PN) order in the case of compact binary systems. Dimensional regularization is
Luc Blanchet +3 more
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Harmonic Number Expansions of the Ramanujan Type
Results in Mathematics, 2018Weiping Wang
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