查询词典 analytic method

This paper introduces simply chaos and its characteristic, the chaos output mechanism and condition, and the calculable method of analytic simulation of nonlinear circuit.

简要介绍了混沌及其特征，混沌产生的机理和条件，以及非线性电路分析仿真的算法。

The boundary element method for the Riemann-Hilbert boundary value problems for the generalized analytic function uses Cauchy integral formula as the foundation . The singularity of the Cauchy

广义解析函数的Riemann-Hilbert边值问题的边界元方法是以Cauchy公式为基础，Cauchy核具有奇性，这是所面临的困难，可以设法利用Cauchy主值积分来解决，最后给出问题的解。

By combining the theory of sectionally holomorphic function, the analytical extending method, Cauchy model integral, the analysis of the singularity of complex functions and Riemann boundary problem, analytic relations between the complex potentials were obtained.

研究压电材料在均匀热流作用下螺型位错与圆弧裂纹的相互作用，综合运用复变函数分区全纯理论、解析函数奇性主部分析方法、解析延拓原理、Cauchy型积分以及Riemann边值问题求解方法，获得各复势函数之间的解析关系，进一步得到了特殊情况下所讨论问题的封闭解，并求解出像力随温度梯度和位错位置变化的表达式。

By combining the theory of sectionally holomorphic function,the analytical extending method,Cauchy model integral,the analysis of the singularity of complex functions and Riemann boundary problem,analytic relations between the complex potentials were obtained.

综合运用复变函数分区全纯理论、解析函数奇性主部分析方法、解析延拓原理、Cauchy型积分以及Riemann边值问题求解方法，获得各复势函数之间的解析关系，进一步得到了特殊情况下所讨论问题的封闭解，并求解出像力随温度梯度和位错位置变化的表达式。

By analytic geometry method and solving quadratic equation,a computer simulation algorithm of digital projection under arbitrary scanning locus was proposed.The algorithm is based on the rules of attenuation of monochromatic X-rays.Through mathematical modeling and computer simulation,digital projections of ellipsoid and cylinder in circular and helix scanning modes are exemplified respectively,which are proved to be correct by FDK and PI-line reconstruction algorithms.

介绍了一种利用解析几何和求解二次方程仿真任意扫描轨迹下的锥束射线投影数据算法，该方法基于单色射线贯穿物体的衰减理论，通过数学建模与计算机仿真，给出了椭球、圆柱两种典型模型分别在单圆、螺旋线扫描轨迹下的投影数据仿真结果，并利用FDK和PI线重建算法进行验证，证明了该种数值仿真方法的正确性。

Further study of this paper has shown that reason for"camel peak"phenomenon in the adhesion-creep test curves is difference between sliding-and static coefficient of friction and discussed the analytic formulae for line contact as well as one direction slip and special correction Lemk's method for point contact when their change is considered as stage jump function.

通过进一步的理论研究指出造成轮/轨粘着率与弹性滑移率实验曲线呈"驼峰"状的原因是滑动区和粘着区的动、静摩擦系数变化，给出了当它们为阶跃变化时线接触条件下的解析解和对点接触情况的独特的"修正"Lemke算法。

By using Floquet theory, Comparison theorem of impulsivedifferential equation and analytic method, we investigate the dynamics of thesystem in detail.

通过利用脉冲微分方程的Floquet理论和比较原理，证明了当脉冲周期小于某个临界值时，系统存在一个全局渐近稳定的害虫根除周期解，最后给出了系统持续生存的条件。3。

For the sake of obtaining the force analytic results of strings, the deformation compatibility condition of strings and the middle rod are determined in this paper with the method of Hook's law.

在利用虎克定律确定了弦丝和中间细杆变形协调条件的基础上，得到了弦丝的受力分析结果。

In order to study the effect of Coriolis acceleration on the natural frequency and dynamic stress of high spinning steam turbine blades, a computational model of Coriolis force and dynamic stress induced by Coriolis acceleration in blades is presented using analytic method.

该模型克服了以往在叶片动态特性分析时难以考虑科氏力影响的问题，导出了科氏动应力和非稳态气流动应力比值的计算公式以及科氏力和离心力比值的计算公式，并进行了实例分析。

Via the stochastic averaging method, the four-dimensional system is reduced to a two-dimensional one. Through the logarithmic polar transformation , and then Girsanov theorem and Feynmann-Kac formula, the backword differential operator is then obtained. By expanding the eigenfunctions as a Fourier cosine series, the approximate analytic expansion of the moment Lyapunov exponent is then obtained.

首先在经典二元机翼颤振方程加入随机激励，通过随机平均法，Girsanov定理和Feynmann-Kac公式得到关于矩Lyapunov指数的特征值问题，其次采用Fourier余弦级数对特征函数进行正交展开得到系统矩Lyapunov指数的近似解析式。

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This new product will become our best seller.

这个新产品会成为我们最畅销的产品。