spherical harmonic 中文意思是什麼
spherical harmonic
解釋
球簡諧函數-
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。 -
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。 -
Thirdly, multimode - coupling phenomena in cylindrical geometry was analyzed by the simulation. the growth of every mode and its harmonic was qualitatively compared well with the solutions of mode - coupling equation. fourthly, the rt instability in cylindrical and spherical geometries was calculated during an implosion
第三，利用lared一s程序模擬柱幾何中rt不穩定性的多模禍合問題，對各個模及其高次諧波的變化進行了分析，並且與模藕合方程的解定性地進行比較，結果符合得較好。 -
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。 -
The numerical results indicate that the deformation within the solid inner core is very small. however, in the fluid outer core, the changes of the displacement with relatively low spherical harmonic degree ( n < 10 ) is very complicated via the radius, due to the resonance near the eigenfrequenies of the core long - period oscillations. while the spherical harmonic degree of the loading is larger than 10, the deformation and the gravitational perturbation in the core are very small, and the earth ' s deformation response is dominantly represented as the radial displacement in the elastic mantle
研究了地球在日月引潮力和表面負荷作用下的形變特徵，數值計算結果表明，在固體內核中的形變很小，由於在長周期核模本徵頻率附近的共振，液核中低階（ n 10 ）位移隨半徑的變化非常復雜，當負荷階數超過10時，地核中的形變和擾動位都很小，地球的響應主要表現為彈性地幔中的徑向位移，且隨深度增加急劇減弱，地表負荷love數與信號頻率的依賴關系很弱，給出了體潮love數計算的一種有效的近似處理方案。 -
The analytical solution of time - harmonic electromagnetic fields excited by an arbitrary current dipole in spherical conductor is obtained
求解了球導體中時諧電流元的電磁場解析解。 -
In this thesis, studies are made on the problem of time - harmonic electromagnetic fields excited by an arbitrary current dipole in spherical conductor. the problem is presented in eddy - current nondestructive test and geophysical prospecting. under the condition of magnetic quasi - static state, the boundary - value problem about modified magnetic vector potential is solved and the analytical solution is obtained
本論文針對渦流無損檢測和地球物理勘探領域用到的球導體中時諧電流元的電磁問題做了研究，在磁準靜態近似下，求解了修正磁矢量位的邊值問題，獲得了問題的解析解，並利用通用有限元分析軟體做了數值驗證。 -
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。 -
Derivative calculation and application in spherical cap harmonic analysis of local gravity field
局部重力場球冠諧分析中的導數計算及應用 -
By using the method of spherical harmonic, the boundedness of a kind of singular integral operator in product domains is given in this paper
摘要用球調和的方法研究了一類乘積空間上奇異積分運算元的有界性，所獲得的結果給出了以往奇異積分運算元有界性的應用。 -
Then, spherical harmonic transformation is used to generate some data for embedding watermarks. as a result, the watermarks can be embedded in the fourier - frequency domain of the original mesh. experimental results showed that our watermarking algorithm is robust since watermarks can be extracted without mesh alignment or re - meshing under a variety of attacks
提出了基於球面參數化的三維網格模型水印演算法：利用網格全局球面參數化的方法得到網格的球面調和分析系數，將水印嵌入調和分析系數中，然後進行相應的逆變換得到嵌入水印的網格。
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