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- strictly convex set 嚴格凸集
- Projection onto convex sets (POCS) is used in this paper. 本文採用POCS方法進行超解析度圖像復原研究。
- This paper generalizes the general equilibrium theorem to the case of indivisible markets where preferences is strictly convex, continuous and strongly monotonous. 摘要給出了不可分市場中一般均衡存在的一個充分條件:消費者偏好函數是強凸、連續和嚴格單調的。
- 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. 在實自反、嚴格凸Banach 空間X 中,論證了關於極大單調運算元T 值域的擾動定理
- 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. 證明了閉的極大線性子空間是強正交可補的充分必要條件是;空間X是自反嚴格凸的.
- 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:證明了閉的極大線性子空間是強正交可補的充分必要條件是;空間X是自反嚴格凸的.
- Convex sets and functions have many interesting and useful properties which are not explored in detail here. 凸集和凸函數具有很多重要的和有用的性質,在此不作詳細討論。
- Every weakly countably compact closed convex set in a locally convex space has the quasi-weak drop property. 局部凸空間中每個弱可數緊閉凸集具擬弱滴狀性質.
- This essay use an untraditional way to prove two plenty condition of a fuzzy sets is fuzzy convex sets in the lower semi continuity. 摘要用一種新的更傳統的方法證明了在下半連續的條件下模糊凸性的兩個充分條件。
- 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. 在消費者偏好函數是強凸、連續和嚴格單調的條件下;給出了不可分市場的一般均衡存在定理;因而也給出了離散空間中一般均衡存在的一個充分條件.
- 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. 本文用凸集和凸函數觀點討論按MSAE準則下的一元線性回歸.
- An error robust multiple description coding algorithm was proposed, which combines the over-complete wavelet transform and projection onto convex sets (POCS). 摘要結合過完備小波變換和凸集投影(POCS)演算法,提出了一種對通道差錯魯棒的多描述編碼演算法。
- 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. 提出採用盲均衡與凸集投影的方法估計成像系統的衝激響應,並實現超解析度圖像的重建。
- 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. 對激勵由凸集合建模的線性振動系統提出了響應集的概念,將數學上的微分包含問題簡化為求解多自由度振動系統的響應集問題。
- 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. 摘要為了改善超解析度重建圖像的效果,提出了一種基於線過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. 這本書的目的是為了提供各類凸集和凸函數理論的介紹,它們在極值問題的應用中發揮核心作用。
- This thesis mainly discusses POCS (projection onto the convex sets) super-resolution reconstruction algorithm.Firstly, the mathematic model of the problem is discussed. 本文首先討論了超解析度的問題的模型描述,研究了基於POCS(凸集投影)的超解析度演算法的原理,對其中的參數進行了分析;
- essentially strictly convex norms 本性嚴格凸范數
- 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. 摘要討論了一類廣義的凸集和凸函數:E-凸集和E-凸函數的若干性質,並給出E-凸函數的一個判別準則。
- 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. 摘要給出了賦范共軛空間的點與(緊)凸集、緊凸集之間被原空間中的點分隔的定理。