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By using the expansion of spherical wave functions for a cylindrical wave function and with the help of the theory of hypergeometric functions, the Sommerfeld type integral contained in the electromagnetic fields is expressed as a rapidly and absolutely convergent series of spherical wave functions; and the coefficients of the series are the Legender Polynomials with the complex argument for the constitutive parameter.

应用圆柱波函数的球面波展开式和超几何函数理论,场分量中的索末菲尔德型积分被表示成快速、绝对收敛的球面波函数系展开式;展开系数是以物性参数为复宗量的勒让德多项式。

By using the expansion of spherical wave functions for a cylindrical wave function and with the help of the theory of hypergeometric functions, the Sommerfeld type integral contained in the electromagnetic fields is expressed as a rapidly and absolutely convergent series of spherical wave functions; and the coefficients of the series are the Legender Polyno...

应用圆柱波函数的球面波展开式和超几何函数理论,场分量中的索末菲尔德型积分被表示成快速、绝对收敛的球面波函数系展开式;展开系数是以物性参数为复宗量的勒让德多项式。

The zonal translation networks on the unit sphere is constructed with the best approximation of spherical harmonic polynomials and the Riesz means. The Jackson theorem of approximation by such kind of zonal translation is established.

借助于球调和多项式的最佳逼近多项式和Riesz平均构造出了单位球面S上的带形平移网络,并建立了球面带形平移网络对LS(上标 q中函数一致逼近的Jackson型定理。

This paper presentes the spherometer of designed with the principle of Archimedes spiral, it has main advantage: both continuity measurement and direct reading to curvature radius of sphere, over against some classical instruments requested the conversion of the measuring result.

本文提出的应用阿基米德螺线原理设计的球面曲率计,克服了某些经典仪器需间接换算测量结果的缺陷,其主要优点是能直接读出所测球面的曲率半径和进行连续性测量,在使用上极为方便。

Calculation method of asphericity of high order aspherical surface.

伍凡。高次非球面球面度的计算方法。

With the increase of the refractive error before refractive surgery, the asphericity of the anterior cornea changes from negative to positive, which leads to the increase of the spherical aberration.

考虑了激光斜入射和反射后的术后非球面系数与Munnerlyn公式的预期值差别不大,术后非球面系数的大小与光区的关系不大。

In view of methods for calculating asphericity of optical aspheric surface are nonuniform, a least maximum residual error method for calculating asphericity of high-order optical aspheric surface is proposed on the basis of analyzing common calculating methods.

针对现有光学非球面度计算方法不统一的问题,在分析常用方法特点的基础上,对於高次光学非球面度的计算提出最小最大残差法。

Abstract] Objective To describe the shape of the planar space of the corneal anterior surface of children with emmetropia by using a conic section, and then to plot the changes in asphericity on 36 meridians to deduce the formulae of the three-dimensional shape of the corneal anterior surface.

目的 通过二次曲线方程来描述正视儿童角膜前表面的二维空间形态,根据各子午线非球面性的变化规律推导出其三维形态的数学表达式及非球面性变化规律表达式。

The paper discusses the position relationship between the litter circles of torus and the section circle of sphere figured out the intersection of torus and sphere when the central axis of torus and sphere center in XOZ coordinate plane through coordinate transformation.

利用坐标变换使圆环中心轴与球心同在XOZ平面内,讨论了在该平面内圆环截圆与球圆的位置不相交、相切和相交时圆环面和球面的相交情况,并给出了判别圆环面、球面相交情况的流程图以及圆环面和球面相交实例。

In order to make the crank be continuous rotation one-way and the mechanisms have good transmission quality, the condition of crank existing of the spherical Stephenson Ⅲ six-bar mechanisms is deduced, and the formula of transmission angle is derived.

在研究球面六杆StephensonⅢ型机构轨迹综合的基础上,建立该可调球面六杆机构的多任务轨迹综合方程组,并分析可调球面六杆机构能实现的精确点数、任务数与综合时任选变量数之间的关系。

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