波數運算元 的英文怎麼說

中文拼音 [bōshǔyùnsuànyuán]
波數運算元 英文
wave-number operator
  • 波 : Ⅰ名詞1 （波浪） wave 2 [物理學] （振動傳播的過程） wave 3 （意外變化） an unexpected turn of even...
  • 數 : 數副詞（屢次） frequently; repeatedly
  • 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...
  • 運算 : [數學] operation; arithmetic; operating
  1. After introducing the conventional edge detection operator and multiscale wavelet edge detection operator, we discussed the well quality of b - spline function > n - class derivative of gauss function n harmonic function and hermite function in wavelet theory and their concrete application in the image edge detection

    在對單尺度下的傳統邊緣檢測運算元和多尺度小波邊緣檢測運算元介紹的基礎上，討論了b樣條、 gauss函數的n階導數、諧波函數以及hermite函數在小波理論中所具有的良好性質，以及它們在圖像邊緣檢測中的具體應用。
  2. Using the wave equation prestack depth migration on seg - eage 2 - d salt dome model as an example, the two - order generalized screen propagator increases 30 % calculation work relative to the conventional one - order ) generalized screen propagator

    以seg - eage二維鹽丘模型數據的波動方程疊前深度偏移為例，二階廣義屏傳播運算元相對于常規（一階）廣義屏傳播運算元增加了30 %的計算量。
  3. This paper studies to get the image of thenar by using a video camera, and carries on the necessary image processing by software with the information captured, and gets the ideal image to provide the image data basis for follow - up cad after the processing such as median filtering, sobel or kirsch ' s operator edge detection, image reversal and image enhancement etc. in this paper, the pressed image information of thenar captured by camera have been carried on processing and analyzing, and the result has been compared with that of image acquired by the scanner

    本文研究了利用攝像頭獲取腳底圖像，再通過軟體將所獲信息進行必要的圖像處理，經中值濾波、 sobel或kirsch運算元邊緣檢測、亮度調整及反置、圖像增強等處理后，得到滿意的圖像為后續的cad提供圖像數據依據。本文對攝像頭採集的足底受壓圖像信息進行了處理和分析並與掃描儀的圖像處理結果進行了比較，由結果得知攝像頭輸入方法是一種簡單實用的輸入方法，且能很好的滿足設計要求。
  4. The eigenfunctions of the gaudin differential / / - operators as the laughlin wavefunction are solved by bethe ansatz

    同時， gaudin模型l -運算元的本徵函數作為laughlin波函數也可以用betheansatz方法來求解。
  5. In the thesis, the fundamental formula of ffd method derives from the square root that is approximated by a continued fraction expansion in the one - way wave equation. optimizations of the parameters of the finite - difference operator improve the validity of the method

    本論文用連分式近似單程波波動方程中的平方根導出ffd演算法的基本公式，並對ffd演算法中的有限差分運算元進行了系數優化，進一步提高了計算的有效性。
  6. And by far, most theories of wavelet analysis are established in, but this method is rare to be known and exists defects in the reproducing kernel space with good properties. then in the reproducing kernel space, isometric isomorphism of relation is founded between and by differential operator. and starting from the haar basis, multi - resolution analysis inis gived by folding method ; then multi - resolution analysis and orthonormal wavelet in are obtained through integral transform from to. then the reproducing kernel space can be expressed by wavelet spaces

    於是，在再生核空間中，利用積分運算元建立了空間與hilbert空間的等距同構關系；並且從haar小波出發，由折疊法實現的空間中多尺度分析通過積分變換得到中多尺度分析和正交小波，使得再生核空間可以由小波空間來刻劃；從而對空間中的函數，給出了小波逼近具體表達式和相應的采樣公式，形式簡單易於數值分析。
  7. By employing the theory of operator representation, the reflection / transmission operator is decomposed into the form of double domains in the scheme, so it is adaptable to laterally heterogeneous media and fluctuating reflectors, can mimic ava of reflections when the incident angle is less than 45

    文中利用運算元可分表示理論將反射透射運算元分解成適合於雙域（空間域和波數域）運算的表達形式，使得本文得到的地震波數值模擬演算法可適應於一定程度橫向非均勻介質和界面起伏情況，在入射角小於45時能夠準確模擬振幅隨入射角（ ava ）的關系。
  8. It has been deduced that the search direction remains the same but that the step length decreases in optimizing the improved cost function with the conjugate gradient algorithm from the gradient of the cost function that the fir filter apporaches the contrary point spread function ( psf ) more, and that the estimated image is closer to the original one

    從代價函數的梯度入手推導出共軛梯度演算法，其搜索方向保持不變而搜索步長變小，使濾波系數更加退近於點擴展函數逆運算元，從而使估計圖像與原始圖像更加接近。
  9. By choosing some appropriate exponential weight functions we prove that the essential spectra and the eigenvalues ( except the simple zero eigenvalue ) have negative real parts, thus we get the locally asymptotically exponential stability of travelling waves ( al ) and ( a2 ) in some weighted spaces

    通過選用合適的權函數，我們證得在加權空間線性化運算元的本質譜和除簡單特徵值零以外的特徵值均具有負實部。因此，我們得到行波（ a1 ） ， （ a2 ）在加權的l ~ 2 （ r ）空間的局部漸近指數穩定。
  10. In this paper, a " step - by - step " recursive 3 - d frequency - space wed scheme is presented to deal with real data

    本文採用三維頻率空間域有限差分波場延拓運算元以「逐步累加」的方式實現了三維波動方程基準面校正，並對實際數據進行了處理。
  11. The dissertation focuses on seismic wavefield forward modeling and migration for the fractured reservoir. the paper integrates and researches the wavefield extrapolation operator for lateral variation of velocity, analysis of the wavefield characteristic, forward modeling and depth migration of prestack and poststack seismic wavefield, creation of wavelet, design of the model with fracture and cavity, and computation of reflectivity

    本文圍繞縫洞儲層地震波場正演與偏移問題，對橫向變速波場延拓運算元；疊前與疊后正演模擬；疊前與疊后深度偏移；子波的生成；縫洞模型的設計、反射系數的求取、正演、偏移及其波場特徵分析進行了一體化研究。
  12. In term of analyzing and summarizing the existing achievement, propose an advanced and practical wavefield extrapolation operator and arithmetic of forward modeling and migration, which obtain numerical simulation and analysis completely and systemically and exploited new field of fractured reservoir seismic wavefield numerical simulation and applicationin in frequency - wavenumber domain

    在總結、分析前人研究成果的基礎上，提出了具有前瞻性和實用性的波場延拓運算元與正演、偏移演算法，較系統全面地進行了數值計算與分析，開辟了頻率?波數域縫洞儲層地震波場數值模擬與應用的新領域。
  13. 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。
  14. The paper concentrates on seismic wave - field forward modeling and migration for the fractured reservoir. it researches the wavefield extrapolation operator for lateral variation of velocity, design four theoretical models and seven practical models with fracture and cavity. base on the progenitor, in the frequency - wavenumber domain with the pspi wavefield extrapolation operator and arithmetic of forward modeling and migration that applied lateral variation of velocity which is strong, the paper obtains the result of numerical simulation and the wavefield characteristic by the way of the forward modeling and depth migration of poststack seismic wavefield

    本文圍繞縫洞儲層地震波場正演與偏移問題，研究了適用於橫向變速波場延拓運算元，建立了四個理論的縫洞模型和七個實際的縫洞模型，在總結、分析前人的研究成果的基礎上，利用適合橫向速度劇烈變化的相移加插值的波場延拓運算元，在頻率?波數域對上述的地質模型進行正演、偏移處理，最後得到了縫洞儲層地震波場的一些特徵。
  15. 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。
  16. In this paper the basic principle of the method of characteristics is described, and is constructed an explicit scheme for dam break simulation of one - dimensional dam instant all break waves flow of a low dam with rectangle section and a huge dam with trapezia section, and of two - dimensional dam instant part break waves flow with simplest space operator splitting

    本文模擬了一維矩形斷面低壩和梯形斷面巨型壩瞬間全潰的洪水波演進過程，給出了與分析解的比較，並結合運算元分裂的特徵線法對二維瞬間部分潰壩時洪水波的演進過程進行了數值模擬。
  17. For viscous shock waves c, by the spectral analysis we prove that in l2 ( r ) space the essential spectra and the eigenvalues ( except the simple zero eigenvalue ) of the linearized operator have negative real parts, thus we show that the viscous shock waves c is locally asymptotically exponentially stable in l2 ( r ) space

    對粘性沖擊波c利用類似方法，我們證得在l ~ 2 （ r ）空間線性化運算元的本質譜和除簡單特徵值零以外的特徵值均具有負實部。於是，我們得到粘性沖擊波c在l ~ 2 （ r ）空間的局部漸近指數穩定。
  18. Further, analyse the characteristic of the seismic wavefield of fractural reservoir and the influence caused by fracture density, property of the filled material and the strike of fracture. fifthly, in term of research of zhangshulun et al., concisely discuss the arithmetic of the plane wave forward modeling and migration with phase shift method, in prestack common offset gathers and check the arithmetic by numerical simulation

    第四，用基於彈性?聲學近似的反射系數計算公式和本文提出的付氏變換子波生成法得到縫洞模型的反射系數模型和子波模型並用vrselrf波場延拓運算元對其進行地震波場數值模擬；進一步分析了縫洞儲層的地震波場特徵及縫洞密度、充填物性質和裂縫走向對其波場特徵的影響。
  19. In the wavefield - spread area, we uses the phase - shift operator as constraint in frequency - wavenumber field, while beyond the wavefield - spread data, we uses zero point at the ends of phase - shift operator as constraint to take discrete smooth interpolation so that the resulted operator satisfies two - order smooth and the length of this operator can be selected shorter in frequency - space field

    通過離散光滑插值法，在頻率波數域中，以傳播區內的相移運算元為約束，在傳播區外的運算元兩端處以零點為約束，進行離散光滑插值，使得所得運算元具有二階光滑可導性，則其對應的頻率空間域中的運算元就可以取得很短。
  20. 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。
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