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Resorting to the elliptic variables and quasi-Abel-Jacobi coordinates, the independence of involutive systems of conserved integrals is proved.

在Abel-Jacobi坐标的"窗口"下,各种流的清晰演化图片呈现出来。

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。

anisotropic medium, elliptic cylinder, scattering, mathieu functions, elliptic coordinates, dynamic stress concentration factor

本文利用椭圆坐标中的变量分离方法,由Mathieu函数给出了各向异性介质中椭圆柱面对SH波散射

In the process of elliptic curve digital signature verification, the elliptic curve scalar multiplication and the elliptic point addition, which are under different coordinates, need to be calculated twice and once, respectively. With operands allocation, the two operations in the thesis are using the shared registers and arithmetic units as well as the same modular inverse process. No extra resource is needed for the introduction of point addition. Hence the resource utilization efficiency is optimized.

论文对这两种不同坐标系下的计算进行了寄存器和运算单元的统一调度,使它们的求逆运算共用同样的流程,减小了控制状态机的复杂度,并且在实现标量乘法的基础上,没有增加额外的运算单元或寄存器,点加运算的所有计算资源均和标量乘法公用,最大限度的提高了资源利用率。

In this new material's Coordinates rollout, make sure and select Environ mapping, and Spherical Environment type.

在新的材质坐标卷展栏,确保你选择的是环境贴图,并且是球型环境类型。

The coordinates of the satellites are got according to the boradcast ephemeris received.

卫星的坐标是根据接收到的广播星历来计算的。

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。

A new method for solving the coordinates of circular points in an image of an equilateral triangle and its inscribed circle was proposed.

提出了一种求解等边三角形及其内切圆的图像圆环点坐标新方法。

Meanwhile, by means of generalized transform method, its two-phase equivalent circuit, impedance transformation and nodal admittance matrix in phase coordinates are given in order to analyze and calculate the problems related to the terminals connecting power grid with traction power network.

同时借助端口电气量的一般变换方法,给出了YNvd接线变压器两相等值电路、阻抗变换以及相坐标下的节点导纳矩阵,以便分析和计算与电力系统和牵引网端口有关的问题。

The change of observation error was analyzed in the case of stator flux observer ui model at high speed and in model at low speed when the parameters of motor changed based on the mathematical model in the stationary coordinates.

利用静止坐标系下的异步电机数学模型,分析当电机参数改变时,高速运行状态下定子磁链观测器 u i 模型和低速运行状态下 i n 模型的观测误差变化情况,然后给出定子磁链全阶观测器增益矩阵的确定方法。

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Finally, according to market conditions and market products this article paper analyzes the trends in the development of camera technology, and designs a color night vision camera.

最后根据市场情况和市面上产品的情况分析了摄像机技术的发展趋势,并设计了一款彩色夜视摄像机。

Only person height weeds and the fierce looks stone idles were there.

只有半人深的荒草和龇牙咧嘴的神像。

This dramatic range, steeper than the Himalayas, is the upturned rim of the eastern edge of Tibet, a plateau that has risen to 5 km in response to the slow but un stoppable collision of India with Asia that began about 55 million years ago and which continues unabated today.

这一引人注目的地域范围,比喜马拉雅山更加陡峭,是处于西藏东部边缘的朝上翻的边框地带。响应启始于约5500万年前的、缓慢的但却不可阻挡的印度与亚洲地壳板块碰撞,高原已上升至五千米,这种碰撞持续至今,毫无衰退。