諧波諧函數 的英文怎麼說

中文拼音 [xiébōxiéhánshǔ]
諧波諧函數 英文
harmonic
  • 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...
  • 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...
  • 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 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。
  3. 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。
  4. 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。
  5. 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。
  6. 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。
  7. 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。
  8. 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。
  9. 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。
  10. By use of the relationships between the hermite polynomial and the laguerre polynomial, the eigenequations of one - dimensional harmonic oscillator and hydrogen atom are conversed into the same equations in form. therefore the relationships between energy levels and wave functions of one - dimensional harmonic oscillator and hydrogen atom are found. through the coordinates transform, the relationships between energy levels and wave functions of two - dimensional harmonic oscillator and hydrogen atom are found

    首先綜述了諧振子與氫原子的基本理論的研究現狀，並在此基礎上對諧振子與氫原子的關系展開了研究，通過厄密特方程與拉蓋爾方程的相互轉化，將一維諧振子與一維氫原子的本徵值方程轉化為相同形式的方程，從而比較得出它們能量及波函數間的關系，並通過坐標變換將直角坐標系下二維氫原子的本徵值方程轉化成與曲線坐標系下二維諧振子的本徵值方程相同的形式，從而得出二維氫原子與二維諧振子的能量及波函數的關系。
  11. 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。
  12. A study on the proposed scanlan linearity has discovered that if the self - excited loads and movement of the model and velocity constitute a linear relationship, and the model vibration accounts for a sine function of the frequency, the rate of the high - order harmonic waves should be quite small

    考查了scanlan的線性假定：如果自激力與模型運動的位移、速度成線性關系，模型振動是某一頻率的正弦函數，那麼相應的自激力也應是這一頻率的正弦函數，高次諧波的分量應極小。
  13. 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。
  14. 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。
  15. 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。
  16. The polynomial factors in the harmonic-oscillator wave functions are called hermite polynomials after a french mathematician.

    諧振子波函數的多項式因子隨一法國數學家之名而叫做厄米多項式。
  17. In this paper, the wavefunction is expanded in terms of the two - dimensional harmonic oscillator eigenfunction and the mismatch of the effective mass is considered. we calculate the energy of the ground state, the energy of the first excited state and the oscillator strength of the single electron in a square quantum wire with finite barriers

    本文選取了以二維諧振子本徵函數為基展開的波函數，並且考慮了有效質量的失配性，計算了有限深方形量子線中單電子的基態能，激發態能和振子強度。
  18. In this paper, the exact expressions of the evolution operator and wave function for a driven time - dependent quantum oscillator are obtained by means of the combination of the inhomogeneous bogoliubov transformation ( ibt ) and the evolution equation associated with a su ( 1, 1 ) h ( 4 ). our results agree well with those derived in [ 3 ], but the present method is more simple and definite

    非齊次波戈留波夫變換與su （ 1 ， 1 ） ? h （ 4 ）量子系統的演化方程相結合，給出了求該系統時間演化算符和波函數的精確表達式。作為一個典型例子，我們得到含時受迫諧振子的演化算符和波函數的精確表達式。
  19. 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。
  20. A damped harmonic oscillator without a driving force was studied using canonical tramsformation ; an exact wavefunction and energy level for the damped harmonic oscillator has been obtained

    摘要對于無外界驅動力且阻力與速度成正比的阻尼諧振子，通過正則變換，得出了阻尼諧振子的嚴格波函數及其相應能級。
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