legendre 中文意思是什麼

legendre 解釋
勒讓德爾
  1. Convergence of the legendre nonlinear approximations to the dirac function

    非線性逼近的收斂性
  2. Generalized legendre rational pseudospectral method on the half line

    半直線上的廣義勒讓德有理擬譜方法
  3. 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。
  4. 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。
  5. 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。
  6. 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。
  7. Based on legendre multinomial, a new kind of low pass filter prototype is designed out after analyzing the design rule and inefficiency of some classical filter prototypes

    摘要分析了幾種經典的濾波器原型設計原理及其自身不足，基於勒讓德多項式，給出了一種新的低通濾波器設汁原型。
  8. The long - time behavior of legendre spectral approximation to fitz

    譜逼近的長時間性態
  9. After giving the legendre polynomials approximation to parametric speed of the curve, the author gives the jacobi polynomials approximation to parametric speed with endpoints interpolation. from this, two algebraic offset approximation algorithms, which preserve the direction of normal, are derived

    給出了曲線參數速度的legendre多項式逼近，進一步給出了參數速度的插值區間端點的jacobi多項式逼近，由此導出了保持法矢平移方向的兩個等距代數有理逼近演算法
  10. 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。
  11. In this paper, we convert the complex third order eigenvalue problems into the real third order eigenvalue problems. then, based on the euler - lagrange equation and legendre transformation, a reasonable jacobi - ostrogredsky coordinate system have been found, then using nonlinear method, the lax pairs of the real bargrnann and neumann system are nonlinearized, so as to be a new finite - dimensional integrable hamilton system in the liouville sense is generated. moreover, the involutive representations of the solution for the evolution equations are obtained

    本文將復的三階特徵值問題轉化為實的三階特徵值問題，利用euler - lagrange方程和legendre變換，找到一組合理的實的jacobi - ostrogredsky坐標系，從而找到與之相關的實化系統，再利用曹策問教授的非線性化方法，分別將三階特徵值問題及相應的lax對進行非線性化，從而得到bargmann勢和neumann勢約束系統，並證明它們是liouville意義下的完全可積系統，進而給出了bargmann系統和neumann系統的對合解。
  12. Associated legendre polynomials

    連帶的勒讓德多項式
  13. We also review parallel computing model, parallel programming model and the software engineering for numerical applications. ( 2 ) on spectral element method and parallel computing of 2 - d spectral element shallow water model i ) we put forward a hybrid - local - basis theorem, and give two kinds of local basis schemes fitting for both the chebyshev polynomials and the legendre case

    （ 2 ）關于譜元素方法及兩維半隱譜元素淺水波模式的并行計算? ）依據切比契夫多項式和勒讓德多項式的計算特點，提出了一個混合局部基函數預備定理，給出了兩類混合局部基譜元素格式。
  14. 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
  15. A mixed legendre - hermite spectral scheme is constructed. its convergence is proved. numerical results show the efficiency of this new approach and coincide well with theoretical analysis

    在第三章中，我們提出了legendre - hermite混合譜逼近方法，在一個方向用legendre譜逼近，在另一個方向用hermite譜逼近。
  16. In order to avoid the difficulty in computing the general inverse of flexible matrix in legendre transformation, this paper studies the mixed coordinates formulation for some quadrilateral plate bending elements instead of fully formulating in ( e, n ) plane for their original plane elasticity elements

    為了克服legendre變換中對單元柔度陣求廣義逆的困難，對于原平面彈性單元是在參考坐標系中列式的情形，本文研究了在彎矩函數空間的混合坐標列式。
  17. The application of legendre elliptic integral function in physics

    橢圓積分在物理學中的應用
  18. Number theory, an approach through history from hammurapi to legendre

    數論，從漢默拉比到勒讓德的歷史的方法
  19. Chebyshev - legendre pseudo - spectral methods for solving nonclassical parabolic equations

    擬譜方法解非經典拋物型方程
  20. Firstly, a weak formulation of this problem is derived. the existence, uniqueness and regularity of its solution are discussed. next, the mixed legendre - hermite polynomial approximation in non - isotropic sobolev space is proposed

    首先，我們在第二章中討論無窮帶狀區域上熱傳導方程的弱形式及其解的存在性，唯一性和正則性，這種弱形式適合於數值計算。
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