運算元定義域 的英文怎麼說

中文拼音 [yùnsuànyuándìngyìyù]
運算元定義域 英文
domain of operator
  • 運 : Ⅰ動詞1 （物體位置不斷變化） move; revolve 2 （搬運; 運輸） carry; transport 3 （運用） use; wield...
  • 算 : Ⅰ動詞1 （計算數目） calculate; reckon; compute; figure 2 （計算進去） include; count 3 （謀劃;計...
  • 定 : Ⅰ形容詞1 （平靜; 穩定） calm; stable 2 （已經確定的; 不改變的） fixed; settled; established Ⅱ動詞...
  • 義 : Ⅰ名詞1 （正義） justice; righteousness 2 （情誼） human ties; relationship 3 （意義） meaning; si...
  • 域 : 名詞（在一定疆界內的地方; 疆域） land within certain boundaries; territory; region
  • 運算 : [數學] operation; arithmetic; operating
  1. In respect that, the concept of region which is made up of infinite interval sequence is introduced. based on this, unary operation about region and binary relationship between region is defined

    基於上述考慮，在本文中，我們提出了由區間的無限序列組成的區域的概念，定義了區域的一些一元運算和二元關系。
  2. Comprehensively discuss the issues in application, adaptive condition and performance, propose a fast arithmetic of forward modeling and depth migration in common shot gathers with one - way acoustic wave equation based on vrselrf, and verify the arithmetic by numerical simulation. concisely discuss the cause of the creation of evanescence and the problem of lateral amplitude discontinuity result from it. fourthly, use the reflectivity model, computed to describe the fracture model, with the formula of computation reflectivity based on elastic - acoustic approximation, and the wavelet model computed by the method, wavelet creation with fourier transform, we proposed, in conjunction with vrselrf wavefield extrapolation operator

    第三，將頻率波數域穩定的變參考慢度rytov近似廣義屏波場延拓運算元（ vrselrf ）應用於疊前與疊后正演模擬、疊前與疊后深度偏移，對演算法應用中應注意的問題、適用范圍、性能等作了較為全面的論述；提出了基於vrselrf的單程聲波方程共炮記錄正演模擬和深度偏移快速演算法，並通過數值模擬試驗對演算法進行了驗證；簡要地討論了倏逝波的產生原因及其帶來的橫向振幅不連續性問題。
  3. Author, starts from the one - way wave equation of wavefield extrapolation, research the relationship and transform condition of wavefield extrapolation operators, and propose the steady variational reference slowness rytov approximation general screen wavefield extrapolation operator ( vrselrf ) which can adapt severe lateral velocity variations, in frequency - wavenumber domain, and the improved wavefield extrapolation scheme, also give the method to improve the computation efficiency. the achievement establishes the theoretic basis of the whole research

    首先，從波場延拓的單程波方程出發，系統地研究了頻率波數域的波場延拓運算元之間的相互關系和轉換條件並在此基礎上提出了能適應劇烈橫向變速的頻率波數域穩定的變參考慢度rytov近似廣義屏波場延拓運算元（ vrselrf ）和部分波場延拓改進方案及提高運算效率的措施，為整個研究打下理論基礎。
  4. Author, secondly, starts from the approximate expandness of square root operator, perform mathematical calculations for finite difference operator in frequency - space domain, fourier finite difference operator in mixing domain ( frequency - space and frequency - wavenumber domain ) and general screen operator in mixing domain, compare and discuss their precision of their wavefield, adaptability for lateral velocity variations, computation efficiency and stability. thirdly, author, applies the steady variational reference slowness rytov approximation general screen wavefield extrapolation operator ( vrselrf ) in frequency - wavenumber domain, to the prestack and poststack forward modeling and depth migration

    第二，從平方根運算元的近似展開出發對頻率?空間域的有限差分運算元、混合域（頻率?空間域；頻率?波數域）的fourier有限差分運算元、混合域的廣義屏運算元進行了推導並對其波場描述精度、對橫向變速的適應性、計算效率和穩定性進行了比較與評述。
  5. Composition operators on a space of analytic operator functions are defined. a sufficient condition is obtained to the composition operators with compact and closed range

    摘要在解析運算元函數所形成的空間上定義復合運算元，給出此復合運算元的緊性和閉值域性質。
  6. At first we get an equivalence characteristic of the numerical range : w ( a ) = jpn ? pn w ( pna en ). from the definition of the quadratic numerical range, we can see that the quadratic numerical range depend on the space decomposition. from contrast, we can see that the quadratic numerical range gives a better information about the localization of the spectrum than the numerical range, perhaps just because of this, the quadratic numerical range of an operator need not to be convex, and even that the quadratic numerical range of an operator need not connected, then we give a condition under which the quadratic numerical range of an operator is not connected

    為了對數值域的本質有更進一步地了解，首先根據toeplitz - hausdorff定理的證明方法，得到了數值域的一個等價刻畫： w （ a ） ： u _ （ p _ n p _ n ） w （ p _ na | e _ n ） ，接著引入了二次數值域的定義，從二次數值域的定義我們可以看出，一般說來，在不同的空間分解下，一個運算元的二次數值域也會截然不同，但是當所給的兩種空間分解有某種關系時，它在這兩種空間分解下的二次數值域是相等的。
  7. By varying the definition domain of each of the two items as well as applying diverse operators, the new model is capable of tackling a variety of image editing tasks. it achieves visually better seamless image cloning effects than existing approaches. it also induces a new and efficient solution to adjusting the color of an image interactively and locally

    通過變化變分方程的兩項的定義域，並同時作用不同的圖像運算元，模型能處理各種圖像編輯問題，並獲得了視覺上更好的無縫的圖像克隆結果，同時還引出一個有效的全局或局部交互地調整圖像顏色的方法。
  8. Chaotic variables have not uniform distribution, and it is worse that chaotic variables are very sensitive to the change of initial value and the defining range of variable ; therefore it is uncertain that the optimal solution can be found. all those shortcomings above bring numerous problems in the process of optimization

    通過分析揭示了混沌優化的本質，首先混沌運算元在變量定義域上並非均勻分佈，所以能否找到最優解是不確定的；再之混沌優化對初值的變化和變量定義域的變化特別敏感，這些給優化過程帶來許多難以確定的問題。
  9. In chapter 1, we establish an integral doubling inequality for p - generalized baouendi - grushin equations and nonexistence for semilinear subelliptic equations. in chapter 2, some hardy type inequalities for the generalized baouendi - grushin operators are obtained and the best constant of la is given

    在第二章，給出了廣義baouendi - grushin運算元在特殊區域上的幾類hardy型不等式，且確定了l _ a中hardy型不等式的最佳常數。
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