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本刊英文版2025年68卷第3期(507–760)摘要: 《中国科学:数学》2025年第3期I0003-I0006,共4页; Extriangulated ideal quotients and Gabriel-Zisman localizations Yu Liu&Panyue Zhou Abstract Let (B, E, s) be an extriangulated category and S be an extension closed subcategory of B. In this article, we prove that the...; 关键词：structure. conditions. QUOTIENT

Rational and Continuous Measurement of Emotional-Fingerprint, Emotional-Quotient and Categorical vs Proportional Recognition of Facial Emotions with M.A.R.I.E., Second Half: 《Open Journal of Psychiatry》2024年第4期400-450,共51页Philippe Granato Shreekumar Vinekar Jean-Pierre Van Gansberghe Raymond Bruyer; Context: The advent of Artificial Intelligence (AI) requires modeling prior to its implementation in algorithms for most human skills. This observation requires us to have a detailed and precise understanding of the i...; 关键词：M.A.R.I.E. Universality Idiosyncrasy Measurement of Emotional Quotient Emotional Fingerprint Emotional Decision-Making Limbic Lobe

Rational and Continuous Measurement of the Emotional Decision Making in Visual Recognition of Facial Emotional Expressions with M.A.R.I.E.: First Half: 《Open Journal of Psychiatry》2024年第3期223-264,共42页Philippe Granato Shreekumar Vinekar Jean-Pierre Van Gansberghe Raymond Bruyer; Context: The advent of Artificial Intelligence (AI) requires modeling prior to its implementation in algorithms for most human skills. This observation requires us to have a detailed and precise understanding of the i...; 关键词：M.A.R.I.E. UNIVERSALITY Idiosyncrasy Measurement of Emotional Quotient Emotional Fingerprint Emotional Decision-Making Limbic Lobe

New Asymptotic Results on Fermat-Wiles Theorem: 《Advances in Pure Mathematics》2024年第6期421-441,共21页Kimou Kouadio Prosper Kouakou Kouassi Vincent Tanoé François; We analyse the Diophantine equation of Fermat xp yp = zp with p > 2 a prime, x, y, z positive nonzero integers. We consider the hypothetical solution (a, b, c) of previous equation. We use Fermat main divisors, Diopha...; 关键词：Fermat’s Last Theorem Fermat-Wiles Theorem Kimou’s Divisors Diophantine Quotient Diophantine Remainders Balzano Weierstrass Analysis Theorem

Power Flow Analytical Solutions and Multi-dimensional Voltage Stability Boundaries Based on Multivariate Quotient-difference Method: 《CSEE Journal of Power and Energy Systems》2024年第3期1168-1178,共11页Chengxi Liu Qiupin Lai; supported by the National Natural Science Foundation of China under Project 52007133 and U22B20100。; This paper proposes a novel Multivariate Quotient-Difference(MQD)method to obtain the approximate analytical solution for AC power flow equations.Therefore,in the online environment,the power flow solutions covering d...; 关键词：Analytical power flow solution multivariate power series multivariate Padéapproximants multivariate quotient-difference multi-dimensional voltage stability boundary

Locally Self-Injective Property of FI^(m): 《Algebra Colloquium》2024年第1期97-110,共14页Duo Zeng; partially supported by the National Natural Science Foundation of China(11771135)。; We consider the locally self-injective property of the product FI^(m) of category FI of finite sets and injections.Explicitly,we prove that the external tensor product commutes with the coinduction functor,and hence p...; 关键词：self-injective property Serre quotient FI^(m)-modules

Correlation between rate-pressure product or pressure-rate quotient and urinary albumin-creatinine ratio in the Chinese older population:The REACTION study: 《Chinese Medical Journal》2024年第2期238-240,共3页Linghuan Wang Peixin Wu Kang Chen Binqi Li Jie Wang Yiming Mu; To the Editor:Chronic kidney disease(CKD)is a critical health threat.An elevated urinary albumin-creatinine ratio(UACR)is a marker of impaired renal function and is a key risk factor for cardiovascular disease.The rat...; 关键词：URINARY IMPAIRED CREATININE

A CLASS OF INVERSE QUOTIENT CURVATURE FLOW IN THE ADS-SCHWARZSCHILD MANIFOLD: 《Acta Mathematica Scientia》2023年第6期2553-2572,共20页纪正超; supported by the Postdoctoral Fund of Zhejiang Province,China (ZJ2022004).; In this paper,we study the asymptotic behavior of a class of inverse quotient curvature flow in the anti-de Sitter-Schwarzschild manifold.We prove that under suitable convex conditions for the initial hypersurface,one...; 关键词：STAR-SHAPED quotient curvature support function

Finite Abelian Groups of K3 Surfaces with Smooth Quotient: 《Chinese Annals of Mathematics,Series B》2023年第1期99-162,共64页Taro HAYASHI; The quotient space of a K3 surface by a finite group is an Enriques surface or a rational surface if it is smooth.Finite groups where the quotient space are Enriques surfaces are known.In this paper,by analyzing effec...; 关键词：K3 surface Finite Abelian group Abelian cover of a smooth rational surface

Second Powers of Cover Ideals of Paths: 《Algebra Colloquium》2022年第4期669-686,共18页Nursel Erey Ayesha Asloob Qureshi; supported by the TUBiTAK grant no.118C033.; We show that the second power of the cover ideal of a path graph has linear quotients.To prove our result we construct a recursively defined order on the generators of the ideal which yields linear quotients.Our const...; 关键词：cover ideal power of ideals linear quotient path vertex cover

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