orthonormality 中文意思是什麼
orthonormality
解釋
標準正交性-
The orthonormality relations also permit us to express the power carried by the total field in terms of the expansion coefficients.
根據正交性我們還可以用展開系數來表示整個場承載的功率。 -
It can be solved by the modern canonical mathematic tools, for example, adjoint symplectic orthonormality and the expansion theorem etc. the problem of viscoelastic cylinders can be solved by using the analytical and semi - analytical method
藉助于現代辛數學等工具，如辛正交關系和展開原理等對問題進行求解。採用解析、半解析方法等來解決粘彈性柱體問題。 -
In chapter 2, wavelets analysis and multiresolution analysis, the mathematical basis, are introduced, and the characteristics of the wavelets basis functions, including orthonormality, compact support, multiresolution and so on, are also introduced. the advantages of the applications of these functions to the numerical electromagnetic calculations are discussed. in chapter 3, the algorithm basis of mrtd : the combination of the wavelets and the method of moments ( mom ) is studied
文中首先討論了mrtd的建立基礎，其中第二章介紹了其數學基礎小波分析及多分辨分析，討論了小波基函數的性質包括正交性、緊支撐性、多分辨性等及其應用於電磁場數值計算的優勢；第三章討論了其演算法基礎小波與矩量法的結合，闡述了以矩量法作為演算法基礎，以galerkin離散采樣的方式與小波函數結合而產生了mrtd 。 -
( 3 ) the re - orthonormalization technique is used to solve the loss of orthonormality of basis vector during the classical gmres method solving large - scale three dimensional elasto - static be problems. based on the characteristic of fundamental solution and the coefficient matrix, several precondition methods are studied. by using the technique of re - orthonoramalization and precondition, the practical gmres method is developed based on the classical one
（ 3 ）採用重正交技術解決了經典gmres方法在求解大型三維彈性靜力邊界元問題過程中出現的基向量正交性喪失的問題；結合邊界元基本解和系數矩陣的特點以及并行化的要求，研究了幾種預條件技術；並以重正交技術和預條件技術實現了經典gmres的實用化。
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