strictly convex space 中文意思是什麼

strictly convex space 解釋
嚴格凸空間
  • strictly : adv. 1. 嚴格地。2. 精密地；嚴密地。3. 斷然；全然。4. 〈美俚〉的確，確實。
  • convex : adj. 中凸的，凸圓的，凸面的。n. 凸狀，凸面，凸圓體。 convex glasses 遠視眼鏡，老花眼鏡。adv. -ly
  • space : n 1 空間；太空。2 空隙，空地；場地；（火車輪船飛機中的）座位；餘地；篇幅。3 空白；間隔；距離。4 ...
  1. In this paper, a concept of strictly efficient solution of the optimization problem for a set - valued mapping is introduced. it is proved that strictly efficient point set of the objective space is connected when objective function is cone convex - like, and that if objective function is cone convex set - valued mapping, then strictly efficient solution set is also connected. as an interesting application of the results in this paper, the connectedness of super efficient solution sets is discussed

    本文對集值映射最優化問題引入嚴有效解的概念.證明了當目標函數為錐類凸的集值映射時，其目標空間里的嚴有效點集是連通的；若目標函數為錐凸的集值映射時，其嚴有效解集也是連通的.作為應用，討論了超有效解集的連通性
  2. 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

    摘要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。
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