A two stage complex image method is proposed to rapidly and precisely calculate the refractive field of an overhead dipole (generalized sommerfeld integral, GSI) in the earth.
为了快速精确计算架空偶极子大地中的透射场，提出了一种广义索末菲积分（GSI）两阶段复镜像等效算法。
Generalized into local frequency from integral frequency, the method of joint time-frequency distribution effectively analyzes the signal based on the variation of frequency with time.
联合时频分布方法把整体频谱推广到局部频率，根据频率随着时间的变化情况，对信号进行有效的分析。
A high accuracy algorithm for numerical solution of nonlinear partial differential equation (PDE) is suggested combining wavelet collocation method with generalized energy integral.
将小波配置法与广义能量积分相结合，提出了一种求解非线性偏微分方程的高精度数值方法。
The algebraic equation from the dual boundary integral equations(DBIE) was solved using the generalized minimum residual method(GMRES).
基于对偶边界积分方程（DBIE）构造代数方程组，采用广义极小残值迭代法（GMRES）求解。
In this paper, using the generalized HuygensFresnel diffraction integral, the focusing properties of twisted GaussianSchell model beams through an aperture lens have been studied in detail.
用广义惠更斯菲涅耳衍射积分对扭曲高斯谢尔模型光束通过有限尺寸透镜的聚焦特性作了详细研究。
The fundamental formulas of generalized indirect BEM for the Poisson 's and linear elasticity problems are proposed initiating from the boundary integral equation.
由边界积分方程推导了泊松问题和线弹性力学问题的广义间接边界元法的基本公式。
The elegant Laguerre-Gaussian (L-G) beams and their propagation properties are studied in detail using the propagation equation derived from the generalized Huygens-Fresnel diffraction integral.
用由广义惠更斯菲涅耳衍射积分推导出的传输方程详细研究了复宗量拉盖尔·高斯光束及其传输特性。
In this paper the theorem in which a curve integral is independent of the integral path on a single connected region is generalized.
本文把在单连通区域上成立的曲线积分与路线无关性定理推广到复连通区域。
It is proved that the substitituon mapping is a proper Fourier integral operator with generalized hypoellipticity.
证明了变量替换映射是一个具广义亚椭园性的适的富里叶积分算子。
The integral representation for acoustic ray is constructed by the product of the generalized reflection-transmission coefficients corresponding to the specification of the generalized ray paths.
任意一条广义声线的积分表达式，则可根据每一条声线段的性质，由各反射界面上的广义反射、透射系数直接给出。
An integral property of the convex function is generalized, and the some integral inequalities of the convex function are given.
给出了凸函数的一个积分性质的推广，并由此得到了凸函数的几个积分不等式。
An efficient approach to calculate the generalized Sommerfeld integral (GSI), which is based on the discrete complex image method, is presented.
提出一种基于离散复镜像法的广义索末菲积分(GSI)快速计算方法。
In this paper, we apply the concept of the generalized restricted Lie algebra to study the relation of the integral and central extensions of a Lie algebra with a triangular decomposition.
本文将应用广义限制李代数的概念来研究具有三角分解李代数的积分元和中心扩张的关系。
Due to intense oscillation of these integral, calculation using direct numerical integral, i. e., GPSS (the generalized point source synthesis method), is complex.
由于这类积分的强烈振荡性，直接数值积分，即通常的广义点源叠加方法(GPSS)，计算比较复杂。
By using the operator generalized line graphs on some integral graphs, a series of infinite integral graphs is constructed.
对一些整谱图，运用一种全新的广义线图算子方法，构造出了一系列无穷多个新的整谱图。
It defines n-ple derivative, n-ary absolutely continuous function, generalized n-ple primitive function and Newton n-ple integral.
定义了n重导数，n元绝对连续函数，广义n重原函数及牛顿n重积分。
Based on the generalized Huygens-Fresnel diffraction integral, the analytic propagation expressions for Lorentz beams passing through first-order axisymmetric optical system are derived.
从广义惠更斯-菲涅耳衍射积分出发，导出了洛伦兹光束通过一阶轴对称光学系统传输变换的解析公式。
This algorithm can be naturally generalized to be an algorithm for factoring multivariate polynomials with integral coefficients.
这个算法还能很自然地推广成分解多元整系数多项式的算法。
In this paper, some relationships between improper double integral and improper iterated are discussed, and the corresponding results are generalized into the improper triple integrals.
本文通过讨论广义重积分与广义逐次积分之间的关系，得出一些结论，并将相应结果推广到广义三重积分与广义三次积分中。
In this paper boundary integral method is generalized to solve the problem of bending of heavy camber cantalever beam.
采用边界积分法求解了大挠度悬臂梁的弯曲问题，给出了求解大挠度悬臂梁的解析解的新方法。
Line graph plays an important role in the study of spectral graph theory. By using the operator generalized line graphs on some integral graphs, a series of infinite integral graphs is constructed.
线图在图的谱理论研究中起着重要的作用。对一些整谱图，运用一种全新的广义线图算子方法，构造出了一系列无穷多个新的整谱图。
And such a proof is generalized to be a new method for proving a kind of special integral limits.
并将其推广，从而证明了一类特殊的积分极限。
This generalized inequality of the classic result can be used to estimate the integral value, or study the quality of the calculus.
这个不等式是经典结果的推广，它可被用来研究积分性质和用来做积分值的估计。
By using the generalized support function, we can get the integral for the power of chords of a convex set.
本文研究了凸域内定长线段的包含测度问题，利用广义支持函数和限弦函数，得到了一类特殊凸域的包含测度。
By using the generalized support function, we can get the integral for the power of chords of a convex set.
本文研究了凸域内定长线段的包含测度问题，利用广义支持函数和限弦函数，得到了一类特殊凸域的包含测度。
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