infinite dimensional space 中文意思是什麼

infinite dimensional space 解釋
無限維空間
  • infinite : adj （opp finite）1 無限的，無窮的，廣大無邊的。2 無數的，許許多多的。3 【語法】非限定的，不受人...
  • dimensional : adj. 1. 尺寸的。2. 空間的。3. 【數學】因次的；…次（元）的。
  • 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 an infinite dimensional space there always exist two subspaces whose vector sum is different from their span.

    在一無限空間中恆存在兩個子空間，其矢量和與其張成空間不同。
  2. With the feature of fixation and interaction, the living space in classrooms is a dialectical unifying of the finitude and the infinite. at the same time, the transcendence to the one dimensional space is the reason why students can grasp in a short time large amounts of knowledge which is cumulated in a long time by people

    課堂生活空間具有固定性和交互作用性，是有限與無限的辯證統一;同時，課堂生活空間對單重空間的超越，是學生能在短時間內掌握大量人類積累的知識的基礎。
  3. On topological properties of one infinite dimensional space

    一類無窮維空間的拓撲性質
  4. Since the linear or nonlinear electromagnetic field equations can be written as an infinite - dimensional hamiltonian system, whose solution can be viewed as a hamiltonian flow in the phase space which preserves the symplectic structure in the time direction. such important features should not be neglected during the construction of numerical methods for the field equations

    由於線性或非線性的電磁場方程可以轉化成無限維的hamilton系統，其結果可以看作是定義在相空間里的時間上保持辛結構的hamilton流，因而在對場方程構造數值演算法時就不應忽略這樣重要的性質。
  5. In addition, in a certain infinite dimensional space, the paper will provide an example of nonwandering semigroup and a sufficient condition for nonwandering semigroup. according to recent results and methods, we may get the hypercyclic decomposition of nonwandering semigroup. and, we will discuss the hypercyclic decomposition from the multi - hypercyclic operator provided not long ago

    本文還將在特定的無窮維空間找出具體的非游蕩運算元半群例子，將給出非游蕩運算元半群的一個充分條件，且依照已有的結果和方法獲得非游蕩運算元半群的超循環運算元半群分解。
  6. In addition, the paper will analyze the existence condition for nonwandering semigroup by the methods of topological dynamical system. from the mature results of finite dimensional space, such as the topological mixing, we discuss any other methods to solve the problems of infinite dimensional space, so as to provide the similar methods for the similar work

    另一方面，本文將結合微分動力系統和拓撲動力系統的研究方法，主要從微分動力系統的角度，從根本上分析非游蕩運算元半群存在的條件，並結合與此密切相關的有限維空間的一些成熟的理論，如拓撲動力系統中的拓撲混合性等，從不同角度試圖解決無窮維空間的結論。
  7. After we define the n - numerical range of bounded linear operators on a hilbert space, we find that the n - numerical range have a series properties very similar to that of the quadratic numerical range. at the same time, we prove that under certain conditions, wn ( a ) c w ~ ( a ) and that when h is finite dimensional and dimti = n, we have a ( a ) = wn ( a ). therefore, it is nature to guess that when h is an infinite dimensional hilbert space, for any space decomposition dn ? ?

    首先給出了n次數值域的定義，我們發現n次數值域不但具有一系列和二次數值域類似的性質，而且在給定的條件下還有n次數值域包含在二次數值域當中，另外當是n維hilbert空間時，它的n次數值域就等於它的譜集，前面的結論促使我們猜想，當是無限維hilbert空間時，對的任意的空間分解d _ n ，都應該有下面的式子成立： （ a ） = _ （ d _ n d ） w _ （ d _ n ） ~ n （ a ） 。
  8. Let h be an infinite dimensional complex hilbert space, b ( h ] the banach algebra of all bounded linear operators on h, and s ( h ) the space of all symmetric operators on h. let l be a real linear, weakly continuous rank one preserver of s ( h )

    設h是無限維復的hilbert空間， b （ h ）為h上的有界線性運算元全體組成的banach代數， s （ h ）為h上的對稱運算元全體
  9. Infinite dimensional space

    無限維空間
  10. The variational inequality has close relations with the theory of extreme value theory and partial differential equation, therefore, it has been extended to infinite dimensional space during the progress of relevant studies

    他們研究的變分不等式具有如下形式：這種變分不等式與極值理論和偏微分方程都有密切聯系。因此人們在研究中已經把它推廣到了無限維空間。
分享友人
分享到 Line

分享到臉書