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- strictly convex set 严格凸集
- This paper generalizes the general equilibrium theorem to the case of indivisible markets where preferences is strictly convex, continuous and strongly monotonous. 摘要给出了不可分市场中一般均衡存在的一个充分条件:消费者偏好函数是强凸、连续和严格单调的。
- Prove som e m apping oftheorem s of perturbations for ranges ofm axim al m onotone operatorT in a realreflexive and strictly convex Banach space X. 在实自反、严格凸Banach 空间X 中,论证了关于极大单调算子T 值域的扰动定理
- We proved that every closed maximal linear subspace in a Banach space is strongly orthogonally complemented if and only if the space X is reflexive and strictly convex. 证明了闭的极大线性子空间是强正交可补的充分必要条件是;空间X是自反严格凸的.
- Abstract: We proved that every closed maximal linear subspace in a Banach space is strongly orthogonally complemented if and only if the space X is reflexive and strictly convex. 文摘:证明了闭的极大线性子空间是强正交可补的充分必要条件是;空间X是自反严格凸的.
- Every weakly countably compact closed convex set in a locally convex space has the quasi-weak drop property. 局部凸空间中每个弱可数紧闭凸集具拟弱滴状性质.
- This Paper discusses the linear regression of one variable from the vie-wpoint of convex set and convex function in the light of the MSAE principles. 本文用凸集和凸函数观点讨论按MSAE准则下的一元线性回归.
- Projection onto convex sets (POCS) is used in this paper. 本文采用POCS方法进行超分辨率图像复原研究。
- The problem of the existence of a cone subdifferential for the cone convex set valued maps in the locally convex, linear and topological vector space is discussed. 在局部凸线性拓扑向量空间讨论了一种锥凸集值映射的锥次微分的存在性问题;证明了几个锥次微分的存在定理.
- This paper generalizes the general equilibrium theorem to the case of indivisible markets where preferences is strictly convex,continuous and strongly monotone.The authors thus give a sufficient condition on the existence of discrete equilibrium. 在消费者偏好函数是强凸、连续和严格单调的条件下;给出了不可分市场的一般均衡存在定理;因而也给出了离散空间中一般均衡存在的一个充分条件.
- The existence and uniqueness of the element of best approximation on sequentially weak compact convex set in the normed linear spaces are studied,the conclusion of which improves and generalizes the existing result of Erwin kreysziy. 研究了在严格凸赋范线性空间上无穷维弱列紧凸子集的最佳近似元的存在与唯一性,所得结论改进和推广了Erwin Kreysziy 等已有的结果。
- During on-line computation, an appropriate invariant ellipsoid is chosen from the terminal convex set according to the real state, which enlarges the initial feasible region efficiently. 在线运算时,根据实际的终端状态即时地选择合适的终端不变集,从而有效地扩大了系统的可行域。
- essentially strictly convex norms 本性严格凸范数
- Some important properties of multifacility location models are to be dealt with, and an optimality condition for multifacility location problem on a closed convex set is put forward. 主要讨论多场址模型的性质,并给出了闭凸集上多场址问题的最优性条件。
- A support hyperplane method is presented to find the response set defined for a linear time invariant vibration system under the excitations modeled by some convex sets. 对激励由凸集合建模的线性振动系统提出了响应集的概念,将数学上的微分包含问题简化为求解多自由度振动系统的响应集问题。
- It is shown that a point and a (compact) convex set are separated in this paper, and two compact convex sets are separated by a point of the original space in normed dual space. 摘要给出了赋范共轭空间的点与(紧)凸集、紧凸集之间被原空间中的点分隔的定理。
- Convex sets and functions have many interesting and useful properties which are not explored in detail here. 凸集和凸函数具有很多重要的和有用的性质,在此不作详细讨论。
- It is now our aim to set up a factory. 我们现在的目的是创办一座工厂。
- This essay use an untraditional way to prove two plenty condition of a fuzzy sets is fuzzy convex sets in the lower semi continuity. 摘要用一种新的更传统的方法证明了在下半连续的条件下模糊凸性的两个充分条件。
- The convexity number con (D) of a nontrivial connected oriented graph D is the maximum cardinality of a proper convex set of D. 数值地形图可记录精确的面特徵边界线和属性,却无法详细描述建物表面细节。