potential integral

Based on testifying the integrand divergence free property of the traction boundary integral equation and Stokes' theorem, the computation of traction boundary integral equation can be transformed into the evaluation of the displacement potential function on the boundary points.

证明面力边界积分方程被积函数的散度等于零，应用Stokes公式，对平面线弹性问题，将面力边界积分的求解转化为边界点的位移势函数的点值计算。

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Improve the MoM model based on potential integral equations for accurately computing electromagnetic scattering by inhomogenous dielectric cylinder.

以混合位积分方程组为基础，首次采用三角形离散方案结合插值基函数，建立计算介质柱体散射的矩量法模型。

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Sommerfeld type integral contained in Hertz potential is expressed as the sum of two parts: zeroth order Hankel function and an absolutely convergent series of spherical Hankel function.

赫芝位函数中的索末菲型积分被表达成零阶汉克尔函数与绝对收敛的球汉克尔函数级数之和的形式。

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In order to calculate the coulomb potential scattering, the path integral is investiged in momentum space.

在合理的近似下, 通过在动量表象中计算路径积分,较为方便地求出了库仑散射的相移表达式.

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It is justified that the integral of the gauge potential along path of not only electron but also scalar particle or spinor particle will contribute a geometric phase factor.

证明了规范场不仅沿入射电子在复连通区域运动路径的积分，而且还可沿入射标量或其他旋量粒子之一在复连通区域的运动路径积分，各自都将贡献一几何相因子。

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In this paper, Archimedean spiral antenna is analyzed using a mixed potential integral equation, and the equation is solved by the moment method incorporating with curved piecewise triangle sub-domain basis and pulse testing functions.

从混合位积分方程出发，采用矩量法结合曲线分段的三角基函数和脉冲检验函数分析了阿基米德平面螺旋天线，给出了输入阻抗，电流分布以及辐射方向图结果。

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By using the expansion of spherical wave functions for a cylindrical wave function and the techniques of the hypergeometric functions, the Sommerfeld integral contained in the potential is expressed as a rapidly and absolutely convergent series of spherical wave functions;

利用圆柱波函数的球面波函数展开式和超几何函数理论，位函数中的索末菲尔德积分被表示成快速、绝对收敛的球面波展开式；

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The expression of magnetic potential is given according to the relation between a solenoidal vector function and electric density. The integral constant is firmed according boundary conditions and then magnetic potential of a solenoidal vector is determined.

文章根据磁位函数与电流密度的关系给出杯型转子中磁位函数的表达式，根据边界条件定出积分常数，确定磁位函数。

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Boundary Integral Solution of Potential energy Stage Number Format

位势级数形式的边界积分方程法

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Three electrode system and double high impedance input and double integral A/ D converter are used to obtain potential stability.

仪器采用了三电极系统和双高阻输入、双积分型A/D转换器，电位稳定性高。

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The boundary integral method is used to solve Laplace equation based on potential-flow theory. Coupled with time integral, we establish three-dimensional model of an underwater explosion bubble near a structure.

其基本方法是，基于势流理论采用边界积分法求解拉普拉斯方程，结合对时域的积分求解爆炸气泡的动边界，最终建立起水下爆炸结构物附近三维非对称气泡运动的计算模型。

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This thesis analyzes the theory of self-learning PID ( Proportion Integral Differential) control arithmetic and traditional PID control arithmetic, and their potential applications in different process controls.

本论文探讨了学习型PID（比例积分微分）算法与传统PID算法的原理，分析了它们在各种过程控制中的不同表现。

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