無限維空間 的英文怎麼說

中文拼音 [wúxiànwéikōngjiān]
無限維空間 英文
infinite dime ional ace
  • 無 : 無Ⅰ動詞（沒有） not have; there is not; be without Ⅱ名詞1 （沒有） nothing; nil 2 （姓氏） a surn...
  • 限 : Ⅰ名詞（指定的范圍; 限度） limit; bounds Ⅱ動詞（指定范圍, 不許超過） set a limit; limit; restrict
  • 維 : Ⅰ動詞1 （連接） tie up; hold together; link 2 （保持; 保全） maintain; safeguard; preserve; keep ...
  • 空 : 空Ⅰ形容詞（不包含什麼; 裏面沒有東西或沒有內容; 不切實際的） empty; hollow; void Ⅱ名詞1 （天空） s...
  • 間 : 間Ⅰ名詞1 （中間） between; among 2 （一定的空間或時間里） with a definite time or space 3 （一間...
  • 無限 : infinite; limitless; boundless; immeasurable; unlimited
  • 空間 : space; enclosure; room; blank; interspace
  1. The precision of its calculating results has an direct effect on the design, construction and safe usage. in the typical calculation of the settlement of foundation, additional stress incurring by loading is calculated according to elastic theory which has the same characteristics in semi - indefinated space, the condesion of soil is decided by the condesion experiment of one - demension and the settlement is calculated by adding results of respective layer

    地基沉降計算一直是困擾巖土工程技術人員的一個難題，其準確與否將直接影響建築物的設計、施工和安全使用。在經典的地基沉降計算方法中，荷載作用下地基中附加應力場是根據半無限空間各向同性彈性體理論計算的，土體壓縮性是根據一維壓縮試驗確定的，並採用分層總和法來計算地基的沉降量。
  2. 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。
  3. To deal with the case of 2 dimension spatial self - focusing, it predicts the catastrophic collapse of a self - focusing beam in a kerr medium. this un - physical collapse is due to the invalidity of the paraxial wave equation in the neighborhood of a self - focus

    在該理論應用於空間二維的自聚焦時，出現了光束將無限聚焦的結果，這在物理上是不可想像的，原因是在自聚焦點附近傍軸方程已經失效了。
  4. Russell ( [ 17 ] ) has showed that, a compact perturbation, generated from unitary operator groups in infinite - dimensional linear hilbert spaces, is unable to make the perturbed semigroup exponentially stable

    Russell （ [ 17 ] ）曾指出，無限維hilbert空間中的酉運算元群對生成的緊擾動不能使被擾動半群具有指數穩定性。
  5. Associated with a project of the planned xuefengshan tunnel with 7. 6 km long during the construction of shaoyang to huaihua expressway in hunan province of shanghai to ruili national trunk highway, this paper firstly makes an introduction of the frequently - used analysis & computation methods for tunnel supporting structure. then, based on the analysis of the basic theory about the interaction mechanism of surrounding rock and support structure, a spatial computation model is made, a coupling numerical computation method with 3 - d elastic - plastic finite element and infinite element is proposed, and a comprehensive analysis has been made to the effects of the overall stability and safety of the surrounding rocks of different characteristics, different classes and under different construction methods. and thus the problem of 3 - d infinite region to which applying the general finite ca n ' t do has been resolved

    6公里的雪峰山隧道工程，首先介紹了隧道支護結構的常用分析計算方法；然後通過對隧道施工過程中，洞室穩定性與支護結構相互作用機理的深入分析，建立了隧道施工過程的空間計算模型，提出了採用三維彈塑性有限元-無限元耦合的數值計算方法，綜合分析了隧道在不同圍巖特性和圍巖類別條件下，以及不同施工開挖方案等對隧道圍巖整體穩定和安全性的影響，從而解決了通用有限元方法難以解決的隧道三維無限域問題；其可充分發揮有限元法在分析非線性方面的有效性和成熟性，以及無限元法在分析處理無限域和半無限域方面的精確性和簡便性，為隧道施工過程中圍巖的穩定性分析開辟了一條新的途徑。
  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. Much of his work bears on the concept of parallel universes : evaluating evidence for infinite space and cosmological inflation ; developing insights into quantum decoherence ; and studying the possibility that the amplitude of microwave background fluctuations, the dimensionality of spacetime and the fundamental laws of physics can vary from place to place

    許多他的工作都含有平行宇宙的概念：評估無限大空間與宇宙暴脹的證據，發展對量子去相干現象的洞察，以及研究諸如微波背景輻射漲落的振幅、時空的維度以及物理的基本定律可隨位置而變化的可能性。
  9. 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
  10. Quantum information was originally investigated with the discrete variables ( dv ) and was recently extended to the continuous variables ( cv ) system in the infinite dimension hilbert space

    量子信息最早起源於研究單粒子分離變量系統，近期擴展到具有無限維希爾伯特空間的連續變量體系。
  11. Associated it we define a root system. in a suitable condition we define a lie algebra to realize this root system, namely, using an euler cocycle given by intersection matrix, we define an infinitely dimensional vector space with the lie operation becomes a lie algebra

    在適當的條件之下，我們給出了該根系的一個李代數實現，即利用該相交矩陣確定的一個歐拉cocycle和根系，我們定義了一個無限維向量空間和李運算，並且證明了這個無限維向量空間在該李運算之下構成一個李代數。
  12. Infinite dimensional space

    無限維空間
  13. Research on the sufficient and necessary condition of hermitian operator in the limitless space

    無限維空間中厄米算符的充要條件
  14. In this paper, we have proved that an anti - bounded c _ ( 0 ) - group in infinite - dimensional reflexive banach spaces is not exponentially stable under generating compact perturbation, and that a c _ ( 0 ) - isometric semigroup in infinite - dimensional hilbert spaces has the same property. so, we have extended and improved russell theorem

    在本文中，我們分別證明了無限維自反banach空間中的反有界c _ 0 -群和無限維hilbert空間中的c _ 0 -等距半群在生成的緊擾動下一定不具指數穩定性，從而推廣和改進了russell定理。
  15. Based on the finite layer method and finite element method, a numerical analysis model of pile - soil interaction is established for single pile. it is proposed to transform a half infinite space problem into a 2 - d quasi - plane problem

    對于單樁，本文以有限層地基模型和平面有限元法為基礎，建立了能夠反映水平荷載下樁土共同作用的彈性數值分析模型，把半無限空間問題轉化為準二維平面問題。
  16. Trough comparing the analysis results of two kinds of calculation model, drawing the following conclusion : ( 1 ) this structure - design satisfies the standard ; ( 2 ) in analyzing the complicated high - rise building with transfer - floor, it is very necessary to adopt at least two three - dimension - space analysis procedures with different mechanic model and use the response - spectrum analysis and time - history analysis to analyze the structure earthquake response ; ( 3 ) the calculation model with elastic slab is better than the other with being infinitely rigid in the internal slab and zero in the external slab, which reflects the real load - function situation of the structure

    通過比較兩種分析軟體的計算結果，得出以下結論： （ 1 ）本結構設計滿足規范要求。 （ 2 ）比較satwe和sap2000分析結果可知，對于復雜的帶轉換層的超高層建築結構應採用至少兩個不同力學模型的三維空間分析軟體進行整體計算以及採用振型分解反應譜法和時程分析法進行地震反應分析是必要的。 （ 3 ）在sap2000分析中，將樓板模擬成彈性板，與satwe分析中的樓板平面內無限剛平面外剛度為零的模擬方式相比，這種模擬方式能更真實的反應結構的實際受力情況。
  17. The green ' s function of infinite and half - infinite space, the solutions of a cone under concentrated loads at its apex, and rotating circular and annular plate of magnetoelectroelastic medium are obtained by use of these solutions and given boundary conditions

    在此基礎上，由平衡問題的一般解和邊界條件，得到了磁電彈性介質無限空間和半空間的green函數解、圓錐體頂端受集中荷載作用的解析解、旋轉圓盤和圓環的三維解析解。
  18. 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。
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