諧和函數 的英文怎麼說

中文拼音 [xiéhéhánshǔ]
諧和函數 英文
cllipsoidal harmonics
  • 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...
  • 和 : 和動詞（在粉狀物中加液體攪拌或揉弄使有黏性） mix （powder） with water, etc. : 和點兒灰泥 prepare some plaster
  • 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 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
  2. 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。
  3. 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。
  4. 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。
  5. 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。
  6. 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。
  7. 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。
  8. 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。
  9. In the last, the modern control theory and simulink in matlab have been integrated together, and it has been applied in active control of the platform structure elastically supported ; a mechanical model and an equation of motion in state space have been established. based on coc, dynamic response of the platform structure elastically supported has been studied under simple harmonic load ; the influence of different values of weight function to the active control efficiency of the structure has also been discussed

    本文還將現代控制理論與matlab的simulink動態模擬軟體包相結合，將其應用於彈性支承平臺結構的主動控制中；建立了彈性支承平臺結構主動控制理論的力學模型和狀態空間內的運動方程；應用經典線性最優控制演算法對彈性支承平臺結構在簡諧荷載作用下的動力響應進行閉環控制；分別從理論和數值計算兩個方面討論了狀態權函數矩陣q和控制權函數矩陣r的不同取值對控制效果的影響。
  10. In this paper, according to the wave - packet function of singularity particle in potential field of harmomic oscillator, the wavefunction and associated probability density of coupling harmomic oscillator is calculated and discussed according to the distinguishable particles and indistinguishable particles

    摘要根據諧振子勢場中單個粒子的波包函數，推導出了耦合諧振子的波函數和聯合幾率密度，特別是不可區分粒子的干涉項，並按照可區分粒子與不可區分粒子進行了討論。
  11. In view of the limitation of the traditional inversion theory and method of the gravity and magnetic field, professional an yulin, etc, worked in china university of geoscience, has come into being the theory system of the all - direction imagery for local gravity and magnetic sources after having researched a few years. the theory system broke through the thinking method of traditional theory system, researched all - direction imagery of the 2d local gravity and magnetic sources by means of complex function theory and researched all - direction imagery of the 3d local gravity and magnetic sources by means of spherical harmonic analysis theory, developed greatly the interpretation theory on the gravity and magnetic field

    該理論體系突破了傳統的重、磁場解釋理論體系的思維方式，採用復變函數理論研究二維局部重磁場源全方位成像，採用球諧分析理論研究三維局部重磁場源全方位成像，大大發展了重磁學科解釋理論，可以在起伏地形、有背景疊加和高頻干擾等復雜條件下，直接反演加疊代修改，求解分佈在有限范圍內的二維和三維重磁場源異常場的多種反演問題。
  12. 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。
  13. At first we should construct a suitable green ' s function, which is an essential solution to displacement field for an elastic half space with an arbitrary - shape - canyon impacted by antiplane harmonic line source loading at horizontal surface

    首先構造了一個適合解答本文問題的green函數，該函數為含有任意形凹陷的彈性半空間在其水平面上任意一點承受時間諧和的反平面線源荷載作用時位移場的解答。
  14. First thing is to use a suitable green " function, which is a essential solution of displacement field for the elastic half space with a half circular lining, which impacted by out - plane harmonic line source loading at horizontal surface

    求解該問題的過程中，首先利用一個適合本問題的green函數，該函數為具有半圓環形襯砌的彈性半空間在其水平表面上任意一點承受時間諧和的出平面線源荷載作用時位移場的解答。
  15. ( 3 ). the flattening arithmetic of an edfa was presented based on the inter - correlative function between the gain spectrum function of the edfa and that of the reserve transmission spectrum of the lpfg. for optimal matching between the two spectra, the flattening arithmetic calculates the variation of the resonant amplitude and wavelength of the lpfg

    Iii .提出了一種動態增益均衡的平坦演算法，這種演算法的本質就是利用摻鉺光纖放大器增益譜函數和新型長周期光纖光柵的透射譜反轉譜函數的相關性，給出新型長周期光纖光柵諧振峰幅度和位置的調節量，使改變后的新型長周期光纖光柵的反轉譜線能和edfa的增益輸出譜線進行最佳匹配。
  16. This paper has studied the wavefunction expanded in terms of the two - dimensional harmonic oscillator eigenfunction through calculating the energy of the ground state, the energy of the first excited state and the oscillator strength in a square wire with finite barriers and studied its application in these fields. the most remarkable advantage of this wavefunction is that it can satisfy the continuity of the function and of its derivative divided by the band - mass and it is convenient to calculate some physical magnitudes because the number of the terms is small

    本文通過計算有限深方形量子線中單電子的基態能、第一激發態能和振子強度研究了以二維諧振子本徵函數為基展開的波函數以及它在這些問題中的應用，此波函數的顯著優點是：在邊界處滿足波函數的連續性條件和粒子流的守恆條件，並且展開項數少，計算方便。
  17. In this paper, we study the vdw ( c6h5ch3. . n2 ar ) vibrations in complexes by using a combined experiment and theoretical studies of resonant ionization spectra. for complexes, vdw vibration levels are calculated by the quantum method of linear - combination of three - dimensional harmonic oscillator products and lennard - jones potential, which is very close to the experimental spectrum

    本文採用理論和實驗的方法對vdw復合物c _ 6h _ 5ch _ 3 … n _ 2 、 ar進行了研究，並用三維線性諧振子波函數和納能-瓊斯勢函數的量子計算方法得出vdw復合物的振動能級，計算值和實驗光譜相符合。
  18. First, we concisely recall the formation and development of bose - einstein condensa - tion ' s theory and it ' s experimentation. secondly, we briefly intro - duce some properties of weakly interactive bose gases, and derive the nonlinear gross - pitaevskii equation that is the condensate macroscopic wave function ' s equation. thirdly, we give a exam - pie, an approximation analytical solution of the gross - pitaevskii equation in a spherical symmetric harmonic trap is derived by a perturbation theory approach, this solution is consistent with that numerically obtained

    全文共分為四章：第一章首先簡要的介紹和回顧了玻色-愛因斯坦凝聚理論的產生和發展，以及其實驗研究的過程，然後著重介紹了弱相互作用的玻色氣體的一些性質，並推導出了凝聚體宏觀波函數滿足非線性的gp方程，還以球對稱的諧振子勢為例，用標準的微擾方法求出了定態的gp方程近似解，發現其與已知的數值結果符合得很好。
  19. The frequency response functions of relative displacement and absolute acceleration are derived under acting of harmonic ground excitation

    推導了地面簡諧運動作用下的加速度和位移的頻率響應函數。
  20. Lacking of space locality in time domain, fourier analysis can only make certain of the integral singularity of a function or signal. as a result, it is difficult to detect the spatial position and distribution of broken signal by fourier analysis. wavelet analysis has the characteristic of spatial locality, and its wideness in both windows of the time and the frequency can be adjusted, so it can analyze the details of a signal

    經典的fourier變換把信號按三角正、餘弦基展開，將任意函數表示為具有不同頻率的諧波函數的線性迭加，能較好地刻劃信號的頻率特性，但它在時空域上無任何分辨，不能作局部分析，這在理論和應用上都帶來了許多不便。
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