諧函數 的英文怎麼說

中文拼音 [xiéhánshǔ]
諧函數 英文
harmonic function
  • 諧 : Ⅰ形容詞1 （和諧） in harmony; in accord; in tune 2 （詼諧） humorous Ⅱ動詞（商量好; 辦妥） come t...
  • 函 : 名詞1. [書面語] （匣; 封套） case; envelope 2. （信件） letter 3. （姓氏） a surname
  • 數 : 數副詞（屢次） frequently; repeatedly
  • 函數 : [數學] function函數計算機 function computer; 函數計算器 function calculator; 函數運算 functional operation
  1. The angular part of a continuum wave function is, of course, a spherical harmonic.

    連續譜波函數的角度部分當然是球諧函數。
  2. The eigenvalue and eigenfunction of a coupled quantum oscillator

    二維耦合量子諧振子的本徵值和本徵函數
  3. These are called spherical harmonics.

    這些叫做球諧函數。
  4. Firstly, in spherical coordinate system, the sovp formulation for the time - harmonic electromagnetic fields of the current dipole in conductive infinite - space is derived, using reciprocity theorem and transforming relations between special functions. then, selecting appropriate coordinate system, using superposition principle, the boundary - value problem of modified magnetic vector potential on the problem of a time - harmonic current dipole in spherical conductor is solved and analytical solution is obtained. finally, by means of the addition formulas of legendre polynomial and spherical harmonics function of degree n and order 1, the analytical solution in spherical coordinate system specially located is transformed into that in spherical coordinate system arbitrarily located

    首先利用特殊函數間的轉化關系和互易定理推導得到了無限大導體空間中球坐標下時諧電流元電磁場的二階矢量位形式：然後利用疊加原理，選擇合適坐標系，求解了導體球中時諧電流元的修正磁矢量位邊值問題，得到了問題的解析解；最後依據不同坐標系下電磁場解的轉化原理，藉助勒讓德多項式和n次1階球諧函數的加法公式，將坐標系特殊安放時的電磁場解析解變換到坐標系一般安放時的解析解，給出了球內電場和球外磁場的並矢格林函數。
  5. The addition formula of spherical harmonics function of degree n and order 1 is derived using the relations between coordinate varieties after coordinate rotating and the property of the associated legendre polynomial. the relations among the magnetic vector potential, the modified magnetic vector potential and the second - order vector potential ( sovp ) are shown going forward one by one. it is explained that the solutions of electromagnetic fields in different coordinate systems can be transformed and an example having analytical solution is given

    利用坐標旋轉后球坐標變量間的關系和連帶勒讓德多項式的性質推導得到了n次1階球諧函數的加法公式；以遞進的方式說明磁矢量位、修正磁矢量位與二階矢量位的關系，寫出了引入二階矢量位的過程；以時諧場矢量邊值問題為例，闡明了不同坐標系下電磁場解的相互轉化原理，給出了一個解析解的轉化例子；在球坐標下，引入了較球矢量波函數更普遍的兩類矢量函數，給出了其在球面上的正交關系。
  6. 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。
  7. It also roundly researched the solution of the helmholtz equation in the circumrotating ellipsoidal coordinates, and discussed how to calculate the solution of the electro - magnetic field in the circumrotating ellipsoidal coordinates using special functions, and researched circumrotating ellipsoidal cavity ’ s latent value and quality parameter using arithmetic simulation, finally we compared the ellipsoidal cavity with the spheriform cavity. the main content of this thesis are as following : 1. calculated the distribution of the electro - magnetic field inside the ellipsoidal cavity based on maxwell equations and boundary conditions, and confirmed the syntonic mode inside the ellipsoidal cavity using arithmetic methods

    本文從maxwell方程及其邊界條件求解出橢球腔內的電磁場分佈，較為全面的研究了旋轉橢球坐標系下赫姆霍茲方程的解的問題，討論了用特殊函數來求解旋轉橢球坐標系下電磁場的解，並通過數值模擬研究了旋轉橢球諧振腔的本徵值和品質因數，並和球形諧振腔做了比較，主要內容為: 1 .用maxwell方程及其邊界條件求解出橢球腔內的電磁場分佈，並且分析了橢球腔內的諧振模式。
  8. The method is as follows, at first, to calculate the frequency response function of structure corresponding every blasting syntony ponderance, then to calculate the response of structure under this syntony ponderance by using frequency response function, at last, the response of the whole system can be worked out by superposition

    計算方法是先計算每一爆破諧分量對應于結構的頻響函數，然後用頻響函數計算出結構在此諧分量下的響應，最後用疊加法得到整個系統的響應。
  9. First, in virtual of identification of flaws is a typical of in - verse problems, proceeding from time - harmonic electromagnetic maxwell ' s equa - tion and helmholtz equation, the uniqueness and existence of direct scattering problems including the numerical algorithms of diverse of boundary conditions is given. second, the uniqueness and existence of inverse scattering problems and the theory of ill - posed integral equation are briefly looked back upon. finally, indicator function method for boundary identification is set up under all kinds of boundary conditions for inverse scattering of homogenous and inhomogenous objects, meanwhile, the proof of possibility for near - field measurements and nu - merical simulation are given

    由於缺陷的識別是一類典型的反問題，因而首先從時諧電磁maxwell方程和helmholz方程出發，具體地闡述了求解正散射問題的有關方法，包括各種（夾雜）邊界條件下的數值解法，就解的存在性唯一性給予了肯定的回答；隨后對逆散射問題的理論作了簡短的回顧，包括解的唯一性以及非線性不適定積分方程的處理等；然後對均勻介質和非均勻介質的逆散射問題建立了在各種邊界條件下的邊界識別的指示函數方法，鑒于近場數據獲得的重要性，對近場測試時邊界識別的方法給予了相應的證明，並且實現了數值模擬。
  10. In this thesis, summarized the basic theories of fourier transformation and the fast fourier transformation that are generally adopted to detect and analyze the electric power harmonic in the electric power supply system. at the same time, summarized the even sample principle, the phenomenon of frequency mix, the window functions and the frequency leaking as so on, those are closely - related to sample from figure signal

    簡要闡述了電力系統諧波檢測分析所普遍採用的傅利葉變換和快速傅利葉變換的基本理論以及與數字信號采樣密切相關的均勻抽樣定理、頻譜混疊現象、窗函數和頻譜泄漏等的基本理論。
  11. Summarized no - line loads and the present situations of the electric power harmonic pollution in the guangyuan district ' s electric power supply system ; explained the theories of fourier transformation and the fast fourier transformation those are widely adopted by majority scholars to examine and analyze the electric power harmonic in the electric power supply system. summarized the principle of even sample, the frequency mix phenomenon, the window functions and the frequency leaking as so on, those are closely - related to the figure signal

    簡要闡述了電力系統諧波檢測分析所普遍採用的傅利葉變換和快速傅利葉變換的基本理論，簡要闡明了與數字信號采樣密切相關的均勻抽樣定理、頻譜混疊現象、窗函數和頻譜泄漏等的基本理論，同時闡述了電力系統的諧波檢測與分析的相關理論基礎知識。
  12. The excellence and basic thinking of green function method is shown because forced harmonic oscillator is discussed, further more, that the green function method is used widely is clarified

    最後，以普通物理中的受迫諧振子問題為例，突出體現了green函數方法的優點，並進一步說明了green函數方法應用的普遍性。
  13. A new harmonic analysis method for electric power systems based on triangle basis functions neural network was presented, the convergence theorem of the algorithm was proposed, and a window function and interpolation algorithm were employed to correct the frequency of fundamental waves

    摘要提出了一種新的基於三角基函數神經網路的電力系統諧波測量方法，給出了該神經網路演算法的收斂定理，並採用加窗插值演算法修正基波頻率的準確度。
  14. First, the harmonic analysis method based on fft is discussed, and some practical issues in the application of fft are investigated. the factors which affect the calculation precision of harmonics, such as sampling and weighting of window function, are analyzed, and then the instructive conclusions for designing voltage monitor are obtained

    首先闡述了基於fft的諧波分析方法，對fft實際應用中的問題進行了研究，通過實際算例探討了采樣方法、窗函數加權等影響諧波計算精度的因素，得到了對電壓質量監測儀的設計具有指導意義的結論。
  15. Based on the extended boundary condition method and addition theorem of vector spherical functions, this paper study the light scattering problems of aggregate spheres from the angles of a single sphere, two - sphere system and multi - spheres system

    本文基於擴展邊界條件法及矢量球諧函數的加法定理，通過嚴格求解maxwell方程所得到的散射傳輸矩陣，對與入射波波長可比擬的群聚球形粒子的散射問題進行了研究。
  16. Essential to their utility is the requirement that the evolution of the basic functions through the propagation environment constitutes a simplified problem with an exact or approximate closed form solution to the original wave equation. the evolution of a spatial fourier harmonic through a homogeneous medium is governed by a reduced wave equation, obtained by applying the fourier transform to the helmholtz equation, with a simple and well - known solution - the plane wave

    這些方法均採用一組具有全局特性的基本函數對波場進行分解，如占據整個空間的富氏調諧函數或充滿各個方向的dirac函數（點源） ，並通過求解基本函數滿足波動方程的精確解或近似解來達到波場外推的目的。
  17. The two components have identical vertical structure and physical process. the global spectral model component uses spherical harmonics as horizontal basis functions

    這兩部分採用相同的垂直結構和物理過程，都用球諧函數作為水平基本函數。
  18. In this paper, the transitional method of the spherical har monics is applied and a new model is gained. the parameters of the new model are geocentric radius, range cross - deviation and polar is decided by different trajectories

    本文對球諧函數的改進主要是採用了換極法，根據不同的彈道重新選擇極點，將球諧函數變換為以地心距、射程角、側向偏差為參數的新的形式。
  19. In this paper, we not only analysed the different effects of the disturbing gravitation on the trajectories of different ranges, but also discussed shortcomeings of the spherical harmonics model by which the external gravitation potential of the earth is shown usually. when the model is applied directly to the calculation of the trajectory, since the recurrent calculation can not be avoided, an increase in orders of model will result on a decrease in the speed of calculation

    本文重點分析了擾動引力對不同射程導彈的落點偏差的影響，並且討論了原有計算擾動引力的球諧函數法在計算速度上的缺陷（由於勒讓德函數的遞推計算，使得隨著模型階數的增加模型的計算速度下降） ，然後對其進行改進使其能更好的適用於彈道計算。
  20. With the recurrent calculation got rid of, the speed of calculation is increased. practical calculations have shown that the new model not only have the high precision but also enables us to enhance the speed of calculation 6 or 7 times. so it is testified that the new model is superior to the spherical harmonics model

    通過將換極后的球諧函數用於彈道計算，得出換極后的球諧函數不僅在計算精度上可達較高要求，而且計算速度也明顯優于未換極的球諧函數（新模型的計算速度是約為換極前模型的6 7倍） 。
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