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We are looking for solutions to nonlinear Schr\"odinger-type equations of the form $$ (-\Delta)^{\alpha / 2} u (x) + V(x) u(x) = h (x,u(x)), \quad x \in \mathbb{R}^N, $$ where $V : \mathbb{R}^N \rightarrow \mathbb{R}$ is an external…

Analysis of PDEs · Mathematics 2018-10-04 Bartosz Bieganowski

Ambiguity is shown in the context of the differential calculus of several variables and with the help of the language of category theory, a way to solve it in its most general form is offered. It is also shown that this new definition is…

Classical Analysis and ODEs · Mathematics 2007-05-23 Andrew E. Chubykalo , Rolando A. Flores , Juan A. Pérez

A brief comment on A variational Bayesian approach for inverse problems with skew-t error distributions (Guha et al., Journal of Computational Physics 301 (2015) 377-393) is given in this letter.

Methodology · Statistics 2016-11-24 Javier E. Contreras-Reyes , Freddy Omar López Quintero

We present a new semidefinite Farkas lemma involving a side constraint on the rank. This lemma is then used to present a new proof of a recent characterization, by Connelly and Gortler, of dimensional rigidity of bar frameworks.

Metric Geometry · Mathematics 2014-05-12 A. Y. Alfakih

We derive a closed form solution for the Kullback-Leibler divergence between two generalized gamma distributions. These notes are meant as a reference and provide a guided tour towards a result of practical interest that is rarely…

Information Theory · Computer Science 2014-01-28 Christian Bauckhage

This reply tries to rectify some misunderstandings that are in our opinion contained in the Comment by Campostrini and Rossi, <hep-lat 99407008> on our paper <hep-lat 9407003>.

High Energy Physics - Lattice · Physics 2007-05-23 A. Patrascioiu , E. Seiler

A recent article by Sassa et al. [Phys. Rev. B 91, 045114 (2015)] reports on a soft x-ray angle-resolved photoemission study of MgB2. The analysis and/or presentation of the collected data and the corresponding calculations appear to be…

Materials Science · Physics 2016-04-13 B. M. Wojek

We prove a conjectural formula for the Brumer--Stark units. Dasgupta--Kakde have shown the formula is correct up to a bounded root of unity. In this paper we resolve the ambiguity in their result. We also remove an assumption from…

Number Theory · Mathematics 2025-12-18 Matthew H. L. Honnor

We discuss new, theoretically clean strategies to determine the angle $\gamma$ of the unitarity triangle from $B_d\to DK_{S(L)}$, $B_s\to D\eta^{(')}, D\phi, ...$ decays, and point out that the $B_s\to DK_{S(L)}$ and $B_d\to D\pi^0,…

High Energy Physics - Phenomenology · Physics 2010-11-23 Robert Fleischer

In a recent letter, new representations were proposed for the pair of sequences ($\gamma,\delta$), as defined formally by Bailey in his famous lemma. Here we extend and prove this result, providing pairs ($\gamma,\delta$) labelled by the…

q-alg · Mathematics 2008-02-03 Anne Schilling , S. Ole Warnaar

We present the complete solution to the classification problem regarding the variational symmetries of the generalized Brans-Dicke cosmological model in the presence of a second scalar field minimally coupled to gravity and the generalized…

General Relativity and Quantum Cosmology · Physics 2024-12-25 Andronikos Paliathanasis

In this addendum note we fill in the gap left in \cite{ls} in the description of 2D homogeneous solutions to the stationary Euler system with the help of the results of \cite{sd}. This gives a complete classification of all solutions. The…

Analysis of PDEs · Mathematics 2016-08-02 Xue Luo , Roman Shvydkoy

We sketch a tentative proof of P-completeness for the $\beta$-convertibility problem on untyped planar (a.k.a. ordered or non-commutative) $\lambda$-terms.

Logic in Computer Science · Computer Science 2024-04-09 Anupam Das , Damiano Mazza , Lê Thành Dũng Nguyên , Noam Zeilberger

The problem \begin{equation} \label{bn} -\Delta u=|u|^{4\over n-2}u+\lambda V u\ \hbox{in}\ \Omega,\ u=0\ \hbox{on}\ \partial\Omega \end{equation} where $\Omega$ is a bounded regular domain in $\mathbb R^n$, $\lambda\in \mathbb R$ and $V\in…

Analysis of PDEs · Mathematics 2023-07-11 Angela Pistoia , Serena Rocci

Errors in the published version of the paper are corrected, and new figures are provided.

High Energy Physics - Phenomenology · Physics 2008-11-26 E. L. Berger , M. Klasen , T. M. P. Tait

An oldish question is resurrected concerning the significance of the ambiguous `b-type' terms encountered in calculations of the vacuum, Casimir energy on the Einstein Universe for conformally coupled scalar fields. Some remarks in the…

High Energy Physics - Theory · Physics 2024-03-07 J. S. Dowker

This is a short communication in reference to the comments in (arXiv: 1605.05147) of our paper in Int. J. Mod. Phys. D 25, 1650051 (2016). We have tried to answer to the comments or criticism in the paper.

General Relativity and Quantum Cosmology · Physics 2017-02-01 Sourav Dutta , Subenoy Chakraborty

We estimate the long-distance contribution to the \Delta{\Gamma}s of B_s system, based mainly on two-body D^(*)_s\Dbar^(*)_s modes and three-body D^(*)_s\Dbar^(*)\Kbar^(*) modes (and their CP conjugates). Some higher c\bar{s} resonances are…

High Energy Physics - Phenomenology · Physics 2012-06-13 Chun-Khiang Chua , Wei-Shu Hou , Chia-Hsien Shen

This paper has been withdrawn by the author due to crucial sign error in Lemma 8.1.

Classical Analysis and ODEs · Mathematics 2012-04-09 Luong Dang Ky

In a recent paper, Vink et al. analyzed some spectropolarimetry data of O-type stars. Here we comment on our disagreement with some points presented in this paper, with the hope of helping to fully grasp the scientific implication of these…

Solar and Stellar Astrophysics · Physics 2010-02-03 Y. Naze , G. Rauw
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