查询词典 transcendental equation

The transcendental characteristic equation is converted into a polynomial equation at the imaginary axis without any substitutions.

针对具有单输入反馈控制的单时滞电力系统，提出了一种求解时滞稳定裕度的简便方法。

Because the workpiece is in dynamic balance, the resultant moment acting on it should be zero. Introducing the moment from lapping tool and press head a moving differential equation is built. In this equation only workpiece rotating speed is unknown. It means that workpiece rotating speed can be got by this equation. Since there is a transcendental function in integral function of the equation an analytic result can not be got, only digital result can be got by a computer. Thus a change rule of workpiece rotating speed with lapping parameters is known, e.g. the radius of press disc ball socket, radius of press head ball, the distance between the workpiece rotating axis and lapping tool rotating axis, workpiece radius, modulus of elasticity of the press head and press disc, friction coefficients between the lapping tool and workpiece, and between the head and disc, pressure between the lapping tool and workpiece and pressure between the press head and press disc.

因工件处于动态平衡状态，其上所受到的来自于磨具和压头的力矩应相等，将二力矩表达式联立，建立工件运动微分方程，该方程中只有工件的旋转角速度是未知量，因此可以求出工件旋转角速度，但该方程积分式中含有超越函数，得不出解析解，只能通过计算机求出数值解，得出工件旋转角速度随各研磨参数的变化规律，如压盖球座半径、压头的球头半径、工件回转中心相对磨具回转中心的偏心距、工件半径、压头和压盖材料的弹性模量、磨具与工件间的摩擦系数、压头压盖间的摩擦系数、磨具与工件间的压强、压头压盖间的压力等。

In chapter 4, the relation between Fatou components of a transcendental meromorphic function or a transcendental meromorphic solution of some differential equation and the set of singular values is discussed, the main considered question is the relation between wandering domains or Baker domains and the set of singular values.

第四章讨论了超越亚纯函数或微分方程超越亚纯解Fatou分支与奇值集的关系问题，主要是研究游荡域或Baker域与奇值集的关系，得到在一定条件下，某些超越亚纯函数的多连通游荡域以及某些微分方程超越亚纯解的Baker域必定含有奇值。

The research works are listed as followings: 1. The computing method developed with the Matlab software has been proposed to solve transcendental equation containing elliptical integral. With this method the dimensionless contact parameter, contact stress and deformation in different ceramic materials have been computed for the first time, and its the efficiency and reliability has been proved. 2. The internal speed and motions of ball bearings as well as relevant quasi-statics formulae are conducted.

本文以轴承拟静力学分析为理论基础，围绕着轴承的数字化设计和高速陶瓷球轴承的结构参数进行了相关研究，主要内容如下：提出基于软件Matlab为平台的计算方法，首次得到了不同陶瓷材料的接触应力和变形等以前不易计算的数据，验证了这种方法具有简便可靠、适合于轴承计算、易于普及等优点。

Kinds and selecting principle of phase shifter of the key devices in television receiving system of autotrackinging synchronous telecommunication satellite are analyzed. Transcendental equation of the propagation constant of latching ferrite phase shifter is derived, its properties are discussed.

分析了自动跟踪同步通信卫星电视接收系统中的关键元件移相器的分类及选取原则，推导了锁式铁氧体移相器传播常数的超越方程，并对它进行了详细地讨论。

It solved the transcendental equation of different terminalcondition rigid suspension bar cable force and the frequency byprogramming composition with the determinant search method.

采用行列式搜索法，通过编制程序对不同边界条件吊杆拉力与频率关系的超越方程进行求解。

The simulation results show that the three models are all selfconsistent with electromagnetic field. Gauss law model tends to be affected by the width of the first cell and yield nonphysical oscillation. 1D diode model with reasonable discrete grid gets almost the same results as Child law model, but it needs to solve a transcendental equation, which would cost much time.

模拟结果表明，三种模型都能与电磁场自洽并反映外加磁场对发射电流的影响，但高斯定律模型受网格剖分粗细程度的影响较大且容易产生振荡，一维二极管模型在网格参数合理的情况下结果与查尔特定律模型基本接近，但需要求解超越方程，花费时间多。

The constructing process of the algorithms itself indicate that they are brevity and have definite geometric meaning, scientific iterative terminal criterions and no strict requirement to function. Finally, some digital experimentation is presented to indicate the algorithms application in solving the problem of maximum of function, transcendental equation,integer programming and so on. The results indicate that the algorithms have more global and more adaptability compared to traditional algorithms and have more calculating efficiency and more scientific iterative terminal criterions compared to some present popular artificial intelligence algorithms.

算法的构造过程本身表明了该算法简单明了、几何意义明确、迭代终止准则科学、对函数的要求较低；最后举了几个数值试验的例子以说明该类算法在求函数的最值，解超越方程以及整数规划等问题中的应用；数值试验的结果标明该算法比单纯由"微分"思想演化而来的传统算法有更好的全局性和对问题的更广泛的适应性，比现在流行的一些人工智能方法有更高的运算效率和更适当的迭代中止准则。

A simplified numeric algorithm expression for solving transcendental equation of optical constants was obtained by analyzing the test principle of ellipsometer. A Microsoft Windows based calculating program for optical constants of thin films with "Solve Block" module of MathCAD by ellipsometer was developed. It can be used to calculate refractive index and thickness of thin films with little absorption or even no absorption as its feature.

通过对椭圆偏振仪测试原理的分析，得到求解薄膜光学常数超越方程的数值算法简化公式，并利用MathCAD的"Solve Block"模块开发了基于Windows系统的椭圆偏振测量薄膜光学常数的计算程序，该程序可用于单层有吸收薄膜或无吸收薄膜折射率和厚度的计算。

A simplified numeric algorithm expression for solving transcendental equation of optical constants was obtained by analyzing the test principle of ellipsometer. A Microsoft Windows based calculating program for optical constants of thin films with "Solve Block" module of MathCAD by ellipsometer was developed.

通过对椭圆偏振仪测试原理的分析，得到求解薄膜光学常数超越方程的数值算法简化公式，并利用MathCAD的"Solve Block"模块开发了基于Windows系统的椭圆偏振测量薄膜光学常数的计算程序，该程序可用于单层有吸收薄膜或无吸收薄膜折射率和厚度的计算。

I'm strongly against the death penalty — it's an eye for an eye.

我不赞成死刑——这是以牙还牙的报复行为。

And to get you the support you need, we're enlisting all elements of our national power: our diplomacy and development, our economic might and our moral suasion, so that you and the rest of our military do not bear the burden of our security alone.

并给你们所须的支援，我们正徵召国家所有各种的力量：我们的外交及发展，我们的经济力量与道德劝说，所以你们与其他军人不须要孤独地负起国家安全的责任。