finite dimensional operator 中文意思是什麼

finite dimensional operator 解釋
有限維運算元
  • finite : adj. 有限的；【語法】限定的；【數學】有窮的，有盡的。n. 〈the finite〉 有限（性）； 〈集合詞〉有限物。adv. -ly ,-ness n.
  • dimensional : adj. 1. 尺寸的。2. 空間的。3. 【數學】因次的；…次（元）的。
  • operator : n 1 操作者，機務員；司機，駕駛員；【軍事】電話兵；【電話】接線員，話務員（＝telephone operator）...
  1. Program : to present new research results in the representation theory of finite and infinite dimensional algebras, lie algebras, algebraic groups, quantum groups, superalgebras, vertex operator algebras, and related applications to other fields of mathematics and physics

    會議內容:這次會議將交流我國及世界其它國家在以下領域中的最新研究成果:有限維及無限維結合代數的表示理論;李群，李代數，代數群，有限群，以及量子群的表示理論;頂點運算元代數及其表示理論;與以上表示理論有關的數學物理及量子場論
  2. When the author sets up the mathematics model with describing the process of two - dimensional debris flow, he develops the continuity equation by the law of conservation of mass and establishes the momentum equations by the law of conservation of momentum. the author makes full use of the advanced computer technologies, establishes the finite difference equation of numerical simulation by the differential operator fission method, and writes programs for computers which contact friendly with the other programs. the parameters are directly input on the keyboard

    在泥石流堆積數值模擬方面，作者以前人工作成果為基礎，在建立數學模型時，根據質量守恆原理，推導建立了泥石流連續性方程，根據動量守恆原理，推導建立了泥石流運動方程;在數值解法上，充分利用高速發展的計算機技術，採用運算元分裂法建立數學模型的差分格式，開放式編製程序，人機對話方式設置參數，計算機程序具有通用性、可擴展性和易維護性。
  3. The same rank lipschitz continuous development of single - valued mappings is proven by means of partially ordered theory on finite dimensional euclidean spaces. the problem that under what conditions the - resolvent operator of a maximal tj - monotone set - valued mapping is a lipschitz continuous single - valued mapping on whole space, which also answers the open problem mentioned above, is studied on finite dimensional euclidean spaces. the problem is researched that under what conditions the - resolvent operator of - subdifferential mapping of a proper functional is a lipschitz continuous single - valued mapping on whole space

    ?引入了集值映射的-預解運算元概念；藉助于偏序理論證明了有限維歐氏空間中的單值映射可同秩lipschitz連續拓展；討論了有限維歐氏空間中的極大-單調集值映射的-預解運算元在什麼條件下是整個空間上的一個lipschitz連續的單值映射，這一結果也在有限維空間上解決了上面提到的公開問題；還討論了真泛函的-次微分映射的-預解運算元在什麼條件下是整個空間上的一個lipsehitz連續的單值映射。
  4. One is, based on answering the above open problem on a finite dimensional euclidean space by means of partially ordered theory, to research the existence of solutions, global error bounds of proximal solutions and sensitivity of parametric unique solutions and present a class of variable - parameter three - step iterative algorithms for generalized set - valued variational inclusion problems by using - resolvent operator of set - valued mapping. two is to consider the convexity, closedness and boundedness of the solution set of general set - valued variational inclusion problems and the sensitivity of the parametric solution set by means of graphical convergence theory. three is to discuss directly the existence of solutions by using analytical methods for set - valued mixed quasi - variational - like inequalities and suggest a class of direct variable - parameter three - step iterative algorithms for solving generalized set - valued variational inclusions

    研究分有三個方面：一是藉助于偏序理論在有限維歐氏空間中解決了上述公開問題，在此基礎上利用集值映射的-預解運算元，研究了廣義集值變分包含問題解的存在性、逼近解的全局誤差界、參數唯一解的靈敏性，並提出了一類變參數三步迭代演算法；二是藉助于圖收斂理論研究了一般集值變分包含問題解集的凸性、閉性和有界性以及參數解集的靈敏性；三是用分析的方法直接討論了集值混合擬類變分不等式問題解的存在性並提出了一類求解廣義集值變分包含問題的直接變參數三步迭代演算法。
  5. The related problem of how to construct the finite dimensional approximation of the integral operator by using radial basis functions, formulate the discrete euler ' s equation with its trigonaliza - tion, fastly realize the rules of selecting the regularization parameter are discussed

    文中討論了利用徑向基函數作積分運算元的有限維逼近，離散euler方程的形成及其三對角化，以及在此形式下的各種選擇正則參數準則的快速實現等問題。
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