legendre function 中文意思是什麼
legendre function
解釋
勒讓德函數-
Convergence of the legendre nonlinear approximations to the dirac function
非線性逼近的收斂性 -
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。 -
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。 -
In a same standard, pcb based on butterworth 、 chebyshev 、 legendre are dsigned out, the dimension and filter function are compared
同一指標下，設討出巴特沃斯、契比雪夫、勒讓德原型濾波器印製板，給出並比較了實現尺寸與濾波特性。 -
In order to calculate easily and do n ' t influence the single - chip microcomputer ' s calculate velocity, we put forward two scheme to deal with the numerical value, one is to use a simple function to close or approach a normal function f ( x ) ( mainly is lagrange ' s intepolation, newton ' s intepolation, hermite ' s intepolation, cubic spline interpolation, etc. ) the other one is function approach ( mainly is chebyshev ' s polynomic. legendre ' s polynomic, laguerre ' s polynomic, method of least squares, etc. ), we analyze and compare the lagrange ' s intepolation and chebyshev ploynomic, at last, we select the chebyshev polynomic to do the value calculating on single - chip microcomputer
提出了數值處理的二種方案。即用簡單函數近似或逼近一個一般函數f （ x ） （主要有拉格朗日插值、牛頓插值、埃爾米特插值、三次樣條插值等）和函數逼近（主要有切比雪夫多項式、勒讓德多項式、拉蓋爾多項式、最小二乘法等） ，對上述兩個方案中的典型函數?拉格朗日插值和切比雪夫多項式進行了分析比較，最後選取切比雪夫多項式完成單片機上的數值計算。 -
In this paper, by means of the euler systems on the symplectic manifold, the bargmann system and the neumann system for the 4f / lorder eigenvalue problems : are gained. then the lax pairs for them are nonlinearized respectively under the bargmann constraint and the neumann constraint. by means of this and based on the euler - lagrange function and legendre transformations, the reasonable jacobi - ostrogradsky coordinate systems are found, which can also be realized
本文主要通過流形上的euler系統，討論四階特徵值問題所對應的bargmann系統和neumann系統，藉助于lax對非線性化及euler - lagrange方程和legendre變換，構造一組合理的且可實化的jacobi - ostrogradsky坐標系? hamilton正則坐標系，將由lagrange力學描述的動力系統轉化為辛空間（ r ~ （ 8n ） ， ）上的hamillton正則系統。 -
A constructing method of non - linear discriminating function based on mdl criterion using legendre polynomials
標準的勒讓德多項式構造法 -
The application of legendre elliptic integral function in physics
橢圓積分在物理學中的應用
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