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- strictly convex set 严格凸集
- 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。
- 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.
- 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。
- 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 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。
- 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.
- 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.
- An error robust multiple description coding algorithm was proposed, which combines the over-complete wavelet transform and projection onto convex sets (POCS). 摘要结合过完备小波变换和凸集投影(POCS)算法，提出了一种对信道差错鲁棒的多描述编码算法。
- The technique of blind equalization and projection onto convex sets (POCS) is used in this paper to estimate the impulse response of imaging system and reconstruct the SR image. 提出采用盲均衡与凸集投影的方法估计成像系统的冲激响应，并实现超分辨率图像的重建。
- 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。
- In order to improve the super-resolution reconstruction of image, a method of projections onto convex sets (POCS) based on the line process modeling is proposed. 摘要为了改善超分辨率重建图像的效果，提出了一种基于线过程模型的凸集投影方法。
- The purpose of this book is to provide an exposition of the theory of convex sets and functions in which applications to extremum problems play the central role. 这本书的目的是为了提供各类凸集和凸函数理论的介绍，它们在极值问题的应用中发挥核心作用。
- This thesis mainly discusses POCS (projection onto the convex sets) super-resolution reconstruction algorithm.Firstly, the mathematic model of the problem is discussed. 本文首先讨论了超分辨率的问题的模型描述，研究了基于POCS（凸集投影）的超分辨率算法的原理，对其中的参数进行了分析；
- essentially strictly convex norms 本性严格凸范数
- The properties of general convex sets and convex functions: E-convex sets and E-convex functions are investigated, a criterion of E-convex function is given. 摘要讨论了一类广义的凸集和凸函数：E-凸集和E-凸函数的若干性质，并给出E-凸函数的一个判别准则。
- 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。
