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orthogonality relations
相关语句
  正交关系
     Orthogonality relations and inverse formulas
     正交关系与反演公式
短句来源
     Orthogonality relations among modes in left-handed materials slab waveguide
     左手材料薄板波导中模式之间的正交关系
短句来源
     Introducing the definitions of two kinds of inner product and utilizing the principle of mechanical energy conservation of a conservative system, this paper presents the general form of orthogonality relations and unifiedproof for the system to be considered.
     本文引进两种内积的定义,给出了无阻尼混合参数系统的固有振型的正交关系的一般形式,且利用机械能守恒原理普遍地、简明地证明了固有振型的正交性关系。
短句来源
     On the basis of Hamilton's principle and a linear potential flow theory,generalized orthogonality relations of wet modes for 3—D fluid-structure system are proved. The decoupling conditions of the equations of motion are also discussed.
     本文基于Hamilton原理和线性势流理论,严格证明了三维流固耦合系统湿模态的广义正交关系,并给出了运动方程的解耦条件。
短句来源
     A exponential generating function was introduced by using of the method of combinatorial analysis; Two new analysis expressions about stirling number of the second kind were given through iteration by using of orthogonality relations.
     以组合分析方法引入指数型生成函数,利用正交关系通过迭代给出第二类Stirling数的两个新的解析表示式.
短句来源
  “orthogonality relations”译为未确定词的双语例句
     The Orthogonality Relations of the Normal Modes of an Undamped System Having Both Lumped and Distributed Parameters
     无阻尼混合参数系统的固有振型的正交性
短句来源
     The identified modal matrix is decomposed by means of singular-value decomposition technique combining with the eigenequation and modal orthogonality relations, and thus general modified equation for the analytical model is obtained.
     该方法通过对识别出的模态矩阵进行奇异值分解并结合特征方程和模态正交条件导出了修正理论模型的通解表达式。
短句来源
     Using orthogonality relations of Fourier series,we reduce governing nonlinear partial differential equations to an infinite set of system of nonlinear algebraic equations containing Fourier cofficients.
     利用该级数正交性,可以把非线性偏微分控制方程化为含级数系数的非线性代数方程组并通过迭代解出所有系数。
短句来源
     The mode shapes can satisfy all the boundary conditions of plate and possess the orthogonality relations between themselves. The forms of the mode shapes are accordant with the deformation patterns permitted by the edge supports.
     该振形曲线基本符合板边界条件所限定的变形曲线形态 ,可以满足全部边界条件 ,又具有振形的正交性。
短句来源
  相似匹配句对
     Orthogonality relations and inverse formulas
     正交关系与反演公式
短句来源
     The relations of E.
     而E.
短句来源
     On Relations
     论关系
短句来源
     ON SINGER ORTHOGONALITY
     关于Singer正交性(英文)
短句来源
     Orthogonality relations among modes in left-handed materials slab waveguide
     左手材料薄板波导中模式之间的正交关系
短句来源
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  orthogonality relations
Half-range orthogonality relations basic to the solution of time-dependent boundary value problems in the kinetic theory of gase
      
Characterizations of real inner product spaces among normed linear spaces have been obtained by exploring properties of and relationships between various orthogonality relations which can be defined in such spaces.
      
We develop a general theory of LU factorizations related to complete systems of orthogonal polynomials with discrete orthogonality relations which admit a dual system of orthogonal polynomials.
      
In particular, we deduce some structure and orthogonality relations for the successive partial derivatives of the polynomials.
      
It is based on the orthogonality relations for uniform B-splines in weighted Sobolev spaces, as introduced in (Reif, 1997).
      
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Tellegen's theorem in various forms is derived by the orthogonality relation between the current subspace and voltage subspace. It is shown that the physical meaning of Tellegen's theorem can be taken as an expression of the law of energy conservation for a network in different states, and it is understood that a network state can be specified simultaneously with any vector j in current subspace and any vector V in voltage subspace.

本文利用电流子空间和电压子空间互相正交的条件,得出了各种形式的特勒根定理.同时使用电流子空间中任一向量J和电压子空间中任一向量V,必能确定网络的一个状态的概念,着重阐明了似功率定理形式的特勒根定理,它的物理意义就是相对于另一个网络状态的能量守恒定律.

Introducing the definitions of two kinds of inner product and utilizing the principle of mechanical energy conservation of a conservative system, this paper presents the general form of orthogonality relations and unifiedproof for the system to be considered. At the end of this paper, some applications to various structures are presented.

本文引进两种内积的定义,给出了无阻尼混合参数系统的固有振型的正交关系的一般形式,且利用机械能守恒原理普遍地、简明地证明了固有振型的正交性关系。最后给出了若干应用。

In this paper, according to the characteristics of linear vibrating defective systems, a complete set of linearly independent generalized eigenvectors is found for the defective system. Such eigenvectors many be called as generalized modes. The partially bi-orthogonality relation between the generalized modes of the original and the adjoint systems i's also found and demonstrated. By use of the bi-orthogonality relation, the most general expressions of the transfer function and the pulse response...

In this paper, according to the characteristics of linear vibrating defective systems, a complete set of linearly independent generalized eigenvectors is found for the defective system. Such eigenvectors many be called as generalized modes. The partially bi-orthogonality relation between the generalized modes of the original and the adjoint systems i's also found and demonstrated. By use of the bi-orthogonality relation, the most general expressions of the transfer function and the pulse response function of linear vibrating system are derived.A sample example is given to show the correctness and effectiveness of the suggested theory and method.

本文求出了线性振动亏损系统的一个完备的广义特征向量系,称之为广义模态;找出并证明了系统与其伴随系统的广义模态之间的部分双正交关系,并据此导出线性振动系统最一般的传递函数和脉冲响应函数表达式,示例表明了本文理论和方法的正确性和有效性。

 
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