In this note we extend a 2018 result of Bardos and Titi \cite{BT} to a new class of functional spaces $C^{0,α}_λ(\barΩ)$. It is shown that weak solutions $\,u\,$ satisfy the energy equality provided that $u\in L^3((0,T);C^{0,α}_λ(\barΩ))$ with...
impact factor of 7.942. It is among the very top journals in the category "Medical Informatics". "Highly Cited Research from JAMIA". Archived from the
We propose and solve exactly the Schrödinger equation of a bound quantum system consisting in four particles moving on a real line with both translationally invariant four particles interactions of Wolfes type \cite{Wolf74} and additional non transl...
In this paper, firstly, we will study the structure of the path complex $(Ω_*(G;\Z),\partial)$ of a digraph $G$ via the $\Z$-generators of $Ω_*(G,\Z)$ under strongly regular condition, which is called the minimal path in \cite{HY}. In particular, w...
Copilot Search in Bing gives you quick, summarized answers with cited sources and suggestions for further exploration, making it easier than ever to discover more.
The latent order book of \cite{donier2015fully} is one of the most promising agent-based models for market impact. This work extends the minimal model by allowing agents to exhibit mean-reversion, a commonly observed pattern in real markets. This mod...
Cell Block H in the United States and Britain and Caged Women in Canada. Note that episode numbers cited are for first and last appearances; many characters
UK-based clinical trial registry, International Standard Randomised Controlled Trial Number (ISRCTN) is [rolling out a significant update to the portal](https://insights.citeline.com/pink-sheet/r-and-...
original composition and humor. Portal is often cited as one of the greatest video games ever made. Excluding Steam download sales, over four million copies
We prove that the Oseledets splittings of an ergodic hyperbolic measure of a $C^{1+ r}$ diffeomorphism can be approximated by that of atomic measures on hyperbolic periodic orbits. This removes the assumption on simple spectrum in \cite{Liang} and st...
In this paper, we present a new formula of the determinant tensor $det_n$ for $n \times n$ matrices. In \cite{kim2023newdet4}, Kim, Ju, and Kim found a new formula of $4 \times 4$ determinant tensor $det_4$ which is available when the base field is n...
In this paper we consider the original and different generalizations of Postnikov-Shapiro algebra which enumerate forests and trees of graphs, see~\cite{PSh}. Our main result is that the algebra counting forests depends only on graphical matroid and...
Let $A$ be a basic finite-dimensional algebra and denote by $\operatorname{tors} A$ the collection of all all torsion classes of $A$. It has been proved in \cite{Demonet} that $\operatorname{tors} A$ is always a completely semidistributive lattice. I...
We study the Robe's restricted three-body problem. Such a motion was firstly studied by A. G. Robe in \cite{Robe}, which is used to model small oscillations of the earth's inner core taking into account the moon attraction. For the linear stability o...
Abstract This paper provides a compressive synthesis of the most recent and widely cited literature on the economic efects of information and communications technology adop-tion at the country, firm, and individual levels. The study surveys and analyzes the av…
Trump cited debunked claims in video address that Iran was on verge of nuclear weapons to justify US casualties
Marjorie Taylor Greene responded to alarming conjecture Donald Trump could cite a "national emergency" to cancel the upcoming midterm elections.
We present several steps towards large formal mathematical wikis. The Coq proof assistant together with the CoRN repository are added to the pool of systems handled by the general wiki system described in \cite{DBLP:conf/aisc/UrbanARG10}. A smart re-...
In 2024, after thirty years of research on this subject, I published a book entitled: \textit{Poincaré, Einstein and the discovery of special relativity. An end to the controversy} \cite{Ginoux2024}. In September 2025, Galina Weinstein published a r...
This is an addendum to the article of Qi Zhong cited above [arXiv:0705.2000]. It outlines how to apply the main result of that article to calculate the asymptotics of the expected energy of zeros of random polynomials on the Riemann sphere $S^2$ with...