1) Ringel dual
Ringel对偶
1.
Cartan matrices of Ringel dual algebras associated to linearly ordered sets;
线性序集Ringel对偶代数的Cartan矩阵
2.
The problems of Cartan matrices of Ringel duals of dual expansion algebras, and of dual expansion algebras of quasi-hereditary algebras, are important and interesting subjects in the theories of quasi-hereditary algebras, and are closely associated with some significant open problems.
关于拟遗传代数的对偶扩张代数及其Ringel对偶代数的Cartan矩阵问题，是拟遗传代数理论中重要而有趣的课题，许多重要的公开问题都与之有密切联系。
2) Ringel dual algebra
Ringel对偶代数
1.
The Ringel dual algebras of dual extension algebra of generalized Vtype posets were determined by giving their minimal generator-sets.
部分解决了惠昌常提出的一个公开问题,给出了广义V-型偏序集的对偶扩张代数的Ringel对偶代数的定义理想的生成元集,证明了该类代数仍是零关系代数。
3) duality
[英][dju:'æləti] [美][du'ælətɪ]
对偶
1.
Lagrangian duality for vector optimization of set-valued maps;
集值映射向量最优化中的拉格朗日对偶问题
2.
Study on risk measures-duality method;
风险的测度研究──对偶方法
3.
Optimality and duality for minimax fractional problems;
极大极小分式优化的最优性与对偶
4) dual
[英]['dju:əl] [美]['duəl]
对偶
1.
Fuzzy subgradient algorithm for solving Lagrangian relaxation dual problem;
利用模糊次梯度算法求解拉格朗日松弛对偶问题
2.
A dual characterization for Benson proper efficiency;
Benson真有效性的对偶特征
3.
The generalization of a dual J.M.Child inequality;
J.M.Child不等式的对偶推广
5) antithesis
[英][æn'tɪθəsɪs] [美][æn'tɪθəsɪs]
对偶
1.
Apply of Symmetry and Antithesis in day-to-day Teaching Activities in Science and Technology Aesthetics;
科技美学中对称、对偶在日常教学中的应用
2.
Tai Ji and Antithesis--Research of Psychology and Rhetoric,Series 4;
太极与对偶——心理与修辞研究之四
3.
In Chinese classical poems, "antithesis" is a widely used means to reflect the contrasting parts of the world, achieving beauty in form and in sense.
中国古典诗词中,对偶和对仗(一种比较严格的对应),经常使用,以反映客观世界对立统一的双方。
6) dual pair
偶对
1.
Under the condition of P-reflexivity,a dual pair(X,P) is uniformly smooth(uniformly convex) if and only if its strong dual pair(X′,P′) is uniformly convex(uniformly smooth).
在P-自反的条件下,得到偶对(X,P)是一致光滑的(一致凸的)当且仅当它的强对偶(X,′P′)是一致凸的(一致光滑的)。
2.
We improve the definitions of uniformly convex,locally uniformly convex,strong convex and very convex for the dual pair (X,P) and discuss the mutual relations of these concepts.
对偶对(X,P)一致凸、局部一致凸、弱局部一致凸、强凸、非常凸的定义作了必要修正,并讨论了它们之间的关系。
补充资料：Harnack不等式(对偶Harnack不等式)
Harnack不等式(对偶Harnack不等式)
quality (dual Hatnack inequality) Harnack in-
【补注】一直到G的边界的H助nack不等式，见【AZI.l翻..‘不等式(对停H山丸朗k不等不)[ Har.改沁-勺函勺(d切红Hat’I犯‘k如为uaJ卿);rap.姗二p魄HcT助(月加湘oe)] 给出正调和函数的两个值之比u(x)/“(y)的上界和下界估计的一个不等式，由A.Hai，剐火(汇IJ)得到.令u)0是n维E议当d空间的区域G中的一个调和函数;令E。(y)是中心在点y处半径为;的球{x:}x一y!<;}.若闭包万了刃.CG，则对于所有的、“凡(，)，o
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条