查询词典 arc hyperbolic function

In Chapter Ⅲ, we introduce some special case of Unitary groups, and give out the normality of the elementary group of hyperbolic Unitary group.

在第三章中，本文介绍了几类特殊的酉群和双曲空间上酉群U_(2n)的基本子群的正规性定理。

Utilized the correlative knowledge of mathematics and theoretical mechanics, the movement measure of the rolling forming of rectangle ring have been studied that based on the ring rolling theory. And the corresponding geometrical models and mathematical models have been established. It was revealed the variation law of ring in the cold rolling process.With the rolling processing, the inside and outside diameters of ring gradually increased with the cures similarly hyperbolic and the augment speed of the inside diameter was obviously larger than the augment speed of the outside diameter. With the rolling processing, the displacement, speed and acceleration of the ring centre gradually increased in the feeding direction in the horizontal and vertical ring rolling mill. With the rolling processing, the moment of inertia which ring reeled its centre and the whirligig of ring gradually increased. It caused the rotary speed gradually decreased. And it was benefit to decrease the circle tolerance and improve the precision of final molding.

本文基于环件轧制理论，运用相关的数学知识和理论力学知识，研究了冷轧过程中矩形截面环件轧制成形的运动测量，并建立相关的几何模型和数学模型，揭示了冷轧过程中环件的变化规律：随着轧制过程的进行，环件的内外径随类似于双曲线的曲线逐渐增大，且环件内径增大速度大于外径增大速度；在卧式轧环机和立式轧环机下，随着轧制过程的进行，环件中心的位移、速度及加速度不断增大；随着轧制过程的进行，环件绕其中心的转动惯量不断增大，导致环件的转速不断减小，这样有利于环件的整圆和最终成形环件的精度。

Common conversion point binning and non hyperbolic normal moveout are two key points to CCP stacking for converted waves.

转换波共转换点(CommonConversionPoint简称CCP)叠加的关键在于CCP抽道集和非双曲线正常时差校正NMO 。

After studying CCP stacking technique in details, we presented new formulas for CCP points and non hyperbolic time distance relation, and as well, gave an implementation for CCP binning.

我们对CCP叠加技术进行了系统研究，导出了新的CCP位置计算公式和非双曲线时距关系式，并给出了具体的CCP抽道集方法。

In particular, we propose conditional correlations with a bivariate hyperbolic distributions method to dominate GSV hedge ratios.

特别的，我们提出在双重双曲线分配方法下的条件关系系数，并且应用在控制广义的半变异数期货避险值上。

The nonlinear hyperbolic conservation laws of the transient flow of the media in gas pipeline are hard to he solved, so, the control conservation laws are constituted of mass, momentum arid energy conservation laws, TVD/Godunov hydrid algorithm is used to simulate the transient flow in gas pipeline, and the traditional splitting approach processing nonlinear convection in momentum equation is dismissed ,the convection tern; is directly processed, in the way, the stablization of the algorithm and emulating accuracy of the transient flow are greatly improved.

针对管道中介质瞬变流动的非线性偏微分方程组难以解析求解的问题，由质量、动量、能量三个偏微分方程构成的控制方程组，应用TVD/Godunov混合算法数值模拟天然气管道中气体的瞬变流动，摒弃了传统的差分方法时动量方程非线性时流项的线性化处理，而直接处理非线性对流项，从而大大提高了算法的稳定性和管道瞬变流动的仿真精度。

According to the analysis, the 3D interference images are hyperboloidal beams and the 2D interference images are hyperbolic beams.

同时也分析出三维干涉图像为双曲面族，以及二维干涉图像为双曲线族的图像特征。

The author argued that noncyclic, flat and hyperbolic models lead to some pathologies in the phase space.

本文主旨是，只有时间上循环和空间封闭的，具有一个很小或0值的宇宙学常数的宇宙模型在物理上才是可接受的。从相空间看，其他模型将导致一些病态现象。

In [2], we also consider nondegenerate homoclinic tangency and shows that the homoclinic point is accumulated by a sequence of uniformly hyperbolic invariant sets.

在[2]中，我们研究非退化性的同临相切，证明了同临相切点会被一串一致双曲不变集所聚集。

In chapter 1, Galerkin alternating-direction procedures and an approximation to the Jacobian of the isoparametric map are applied to discuss a three-level and a four-level Galerkin alternating-direction procedures for two kinds of nonlinear hyperbolic equations which are given on a nonrectangular, curved region.

第一章结合[10]中对矩形域上双曲型问题提出的交替方向有限元方法和[19]中利用等参元，等参变换的Jacobi行列式的逼近来研究的思想，给出了两类非线性双曲型方程在非矩形域上的交替方向有限元方法。

Pachomius manual labour was organized as an essential part of the monastic life; and since it is a principle of the monks as distinguished from the mendicants, that the body shall be self-supporting, external work of one sort or another has been an inevitable part of the life ever since.

根据圣pachomius体力劳动组织作为一个重要组成部分寺院生活；以来，这是一个原则的和尚，作为有别于乞丐，该机构应自支撑，对外工作的这种或那种已一个必然的一部分，生活至今。

In order to study the effects of parametrical rolling on the ship movement and tilts, in allusion to ship's navigating in regular following waves, the equation of ship rolling motion is transformed into normal Mathieu equation by proper variable replacement when strong parametrical excitation in restoring moment varied according to sine or cosine wave.

为研究参数横摇对船舶运动和倾覆的影响，通过对船在规则波上随浪航行时，恢复力矩中出现的1个以正余弦规律变化的强参数激励项进行适当的变量置换，将船舶的横摇运动方程转换成标准形式的Mathieu方程。