《Frontiers of Mathematics in China》

作品数:905被引量:758H指数:10
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《Frontiers of Mathematics in China》
主办单位:Higher Education Press, China
最新期次:2025年1期更多>>
发文主题:TENSORTENSORSGENERALIZEDEQUATIONALGEBRA更多>>
发文领域:理学自动化与计算机技术一般工业技术电子电信更多>>
发文基金:国家自然科学基金国家教育部博士点基金中国博士后科学基金河北省自然科学基金更多>>
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Cotorsion dimensions and FP-projective dimensions of weak Hopf actions
《Frontiers of Mathematics in China》2025年第1期17-24,共8页Xiaoyuan CHEN 
Let H be a finite dimensional weak Hopf algebra and A be an Hmodule algebra.In this paper,we mainly discuss the relations of cotorsion dimension and FP-projective dimension between A#H and A.As applications,sufficient...
关键词:Cotorsion dimension FP-projective dimension weak Hopf algebra 
A nonmonotone inexact Broyden-like algorithm for nonlinear complementarity problems
《Frontiers of Mathematics in China》2025年第1期25-37,共13页Xiaomei DING Ping WANG Changfeng MA 
In this paper,by constructing a new smoothing complementary function,we reformulate the nonlinear complementarity problem as a nonlinear smooth system of equations.Combining non-monotonic line search techniques with a...
关键词:Complementarity problem global convergence local quadratic convergence Broyden-like algorithm 
Optimality conditions for a class of variational inequalities with cone constraints
《Frontiers of Mathematics in China》2025年第1期39-53,共15页Wen DONG Junrong ZHANG Yiyun WANG La HUANG 
In this paper,through the use of image space analysis,optimality conditions for a class of variational inequalities with cone constraints are proposed.By virtue of the nonlinear scalarization function,known as the Ger...
关键词:Variational inequalities with constraints image space analysis nonlinear separation function optimality condition 
A survey on the Weinstein conjecture
《Frontiers of Mathematics in China》2025年第1期1-15,共15页Yanqiao DING 
The Weinstein conjecture predicts that there is at least one periodic orbit for every compact contact hypersurface in a symplectic manifold,which turns out an important research direction in symplectic topology and co...
关键词:Weinstein conjecture periodic orbit contact manifold J-holomorphic curves Reeb flow 
(q,r)boundedness of general rough pseudo-differential operators
《Frontiers of Mathematics in China》2024年第6期367-378,共12页Yiwu HE Xiangrong ZHU 
In this paper,we consider the(q,r)boundedness ofthe pseudo-differential operators with the amplitude a∈L^(P)S_(p)^(m)(p≥1,m∈R,0≤p≤1).When 0
关键词:Pseudo-differential operator rough Hrmander class (q r)boundedness 
FRONTIERS OF MATHEMATICS IN CHINA
《Frontiers of Mathematics in China》2024年第6期I0003-I0004,共2页
Means and equations of means
《Frontiers of Mathematics in China》2024年第6期317-355,共39页Qian ZHANG 
Over the past two decades,means and mean equations have been popular directions of research in the field of functional equations.This paper first introduces the definition and properties of mean as well as the develop...
关键词:Mean EQUALITY INVARIANCE Cauchy mean Bajraktarevic mean 
Exact controllability of mild solutions for a class of semilinear differential equations
《Frontiers of Mathematics in China》2024年第6期357-366,共10页Jianli LI Lizhen CHEN Gang LI 
In this paper,by using the noncompact measure,we study the exact controllability of mild solutions for semilinear differential equation when the nonlocal term is Lipschitz continuous in general Banach space.Here,the r...
关键词:EXACT CONTROLLABILITY noncompact MEASURE SEMILINEAR DIFFERENTIAL equation NONLOCAL condition 
The q-log-concavity of q-ballot numbers
《Frontiers of Mathematics in China》2024年第5期247-254,共8页Xinmiao LIU Jiangxia HOU Fengxia LIU 
Carlitz and Riordan introduced the q-analogue f_(q)(n,k)of ballot numbers.In this paper,using the combinatorial interpretation of f_(q)(n,k)and constructing injections,we prove that f_(q)(n,k)is q-log-concave with res...
关键词:q-log-concavity q-ballot number lattice path INVERSION 
Further research on simple projection prediction under a general linear model
《Frontiers of Mathematics in China》2024年第5期255-275,共21页Bo JIANG Luping WANG Yongge TIAN 
Linear model is a kind of important model in statistics.The estimation and prediction of unknown parameters in the model is a basic problem in statistical inference.According to different evaluation criteria,different...
关键词:Linear model SPP BLUP EQUIVALENCE ROBUSTNESS 
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