查询词典 cylindrical coordinates

IGMs are a kind of experimentally new-identified optical mode, standing with apparent potential in design and application. However, the mathematical expression of IGMs under Elliptic Cylindrical coordinates, preventing us from understanding IGMs instinctively, stands a formidable challenge in application. The pure mathematical expressions of IGMs are composed by a great deal of calculation, which also bids us no help in common use. I am, therefore, prompted to build an easier mathematical approach in this study.

Ince- Gaussian modes为在实验中可见的一种崭新型态的光学模态，对於我们在应用和设计上的实现，拥有许多潜力；然而，由於IGMs是在椭圆圆柱座标系下的数学来表示，造成了我们无法直觉的去了解，也成了我们在使用上的一大考验； IGMs的不易亲近，也让我们无从进一步去了解其物理特性，若纯粹以数学出发，又包含了庞大的运算，无法达到普遍的运用，是故我希望能在这篇论文使用简单的数学描述来达成对IGMs较平易近人的理解。

It is governed by the equation of continuity and momentum for the liquid in cylindrical coordinates with axial symmetry, the isentropic equation of state for water.

曲面头部的水弹高速冲击刚性表面的流体动力学问题，可以归结为无粘性、可压缩的不定常流动问题，受轴向对称园柱座标的连续和动量方程、水的等熵状态方程支配。

When a solid region in three-space has an axis of symmetry, the evaluation of triple integrals overis often facilitated by using cylindrical coordinates.

当空间立体区域有一个对称轴时，计算上的三重积分通常使用柱坐标比较容易。

It is solved by means of the Fourier expansion and Hankel transform. A general solution is got on the cylindrical coordinates.

自从Biot[1，2 ] 建立饱和多孔介质本构关系和运动方程以来，人们已经作了大量研究工作[3 ，4，5] 。

The Fourier transformations about the azimuthal angle and Hankel transformation about the radial direction have been used to convert the basic equations of elasticity into a non-homogenous first-order ordinary differential equation system in cylindrical coordinates.

在柱坐标系下，利用关于方位角的Fourier变换及关于径向的Hankel变换，将弹性力学基本方程组转化为非齐次的一阶常微分方程组的标准形式。

In development of these programs under cylindrical coordinates, the singularity at the pole and transfer phenomenon across the pole were studied deeply and a numerical method which has made these programs efficient in 3D function was advanced and employed to eliminate the singularity by setting up a special mesh at the pole on the polar plane.

针对炼钢生产钢包吹气搅拌精炼工艺，本论文从开发数值仿真程序入手，分别对吹气搅拌条件下钢包金属熔池体系的流体流动、传热和传质、夹杂物碰撞长大和排除等传输现象进行了数学模型或物理模型研究。

Simple finite difference method is proposed for calculating polarizability of conductors and dielectrics in various shapes in radial and cylindrical coordinates.

bstract：使用简单的有限差分法来计算在圆与圆柱座标系中导体和介电质在不同的形状的可极化性。

A numerical model was established by combining the seven-flux model of light propagation with the two-dimensional hyperbolic heat conduction model in cylindrical coordinates. It showed that there exists a great discrepancy between the results obtained by treating the laser irradiation as volumetric absorption (i.e. taking laser scattering and absorption into consideration) and those obtained by treating the laser irradiation as the second boundary condition.

将激光传输的七流模型与圆柱坐标系内的二维双曲型导热模型相结合建立了理论模型；将激光照射处理为容积吸收(即考虑激光在生物组织中的散射和吸收)所得到的计算结果，与将激光照射处理为第二类传热边界条件所得到的计算结果相比，两者差别很大；考察了激光照射下散射系数和吸收系数对生物组织内双曲型导热的影响。

It can perform deformation by building the skeleton of the model based on the cross section of the mesh, and using the transformation of the cylindrical coordinates.

1概述对于人体表面模型的变形方法早先是刚性的变形，其中人体由彼此独立的皮肤片断组成，这些皮肤片断相对骨架静止，随着骨架一起运动。

As a special example, we calculated global errors and reflective coefficient on the interface of quasi-PML in the Cassinian transformation cylindrical coordinates. Numerical results validated the effectiveness of absorbing in quasi-perfectly matched layers for the conformal mapping case.

本文还以Cassinian变换柱形坐标为例，计算了准PML的全局误差和准PML界面中点的反射系数，证实了保角变换柱形坐标系准PML的吸收作用。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新