查询词典 hyperbolic automorphism

The automorphism groups of the two posets are given and the numbers of orbits of the automorphism groups are counted. At the same time, the number of words in every rank of the posets is obtained.

本章给出了偏序集P和Q的自同构群，计算了在各自的自同构群作用下轨道的个数以及每一轨道中元素的个数，得到了偏序集中每一秩中元素的个数。

Routh-Hurwitz is used to determine that the characteristic equation has negative real root, and Center-Manifold theorem is used to study the stability of autonomous differential system in the case of hyperbolic and non-hyperbolic at the equilibrium point.

利用Routh-Hurwitz判定特征方程有负实部根，并利用中心流形定理研究了自治微分系统在平衡点处双曲和非双曲情况下的稳定性，由此产生系统趋于不同稳定点时病毒分裂的临界值，同时利用数值模拟验证了分析的合理性。

In chapter 3, combining the traditional augmented Lagrange function and the hyperbolic cosine function, we construct a new hyperbolic penalty function multiplier method for the equality constrained optimization and deduced the iterative formulas, and proved the convergence under some conditions.

在第三章中，我们把传统的增广Lagrange函数和双曲余弦函数结合，构造了一类新的在等式约束下的双曲罚函数乘子法，推导出了双曲乘子迭代公式。

To understand the hyperbolic motion of the probe and give necessary orbit information not only the discrete positions to both ground-base or satellite autonomy device, we studied the variation of hyperbolic orbit and gave the variation equations like that of elliptic orbit.

这段轨道相比其它段虽然很短，但却是实现最终探测目标的关键弧段。为了更好地了解探测器的在这一关键弧段的运行状态，给地面测控系统或是星上自主设备提供必要的轨道信息，而不仅仅是探测器在一些孤立点上的位置和速度，有必要对双曲线轨道及其变化特征进行研究，给出类似于椭圆轨道及其变化的一些基本规律。

Since 1950 s, the research of numerical method for hyperbolic conservation laws is one of key research directions in computational mathematics. The finite difference method, specially TVD and ENO schemes, for hyperbolic conservation laws are very successful.

双曲型守恒律方程数值计算方法的研究，是二十世纪五十年代以来，计算数学中的一个重要研究方向。

The purpose of the paper is to investigate the convergence of the mixed finite element method for the initial-boundary value problem for the Hyperbolic type integro-differential equation and Hyperbolic type equation.

本文讨论了双曲型和双曲型积分微分方程的标准混合有限元和H~1-Galerkin混合有限元方法的L~2模和H~1模的误差估计。

A new hyperbolic function s method for finding exact solutions of nonlinear partial differential equations;2. The control strategy based on hyperbolic function is proposed and relative mathematical model is built.

为此讨论了车辆变速行为的一般规律，提出基于双曲函数的车辆变速控制策略，建立了相应的数学模型，并针对实例进行了具体分析。

Solving the problem of faces ambiguity by using hyperbolic asymptote and the problem of inferior ambiguity by judging the relationship of hyperbolic asymptote on inferior parallel plane.

对原始MC方法存在的问题和局限进行改进，并以此为基础重构脊柱三维模型，使之满足术前分析和远程手术的要求。

These pulses include a Gaussian pulse, a hyperbolic secant pulse, a Lorentzian pulse, a Poisson spectrum pulse, a asymmetrical hyperbolic secant pulse, a rectangular pulse, a chirped Gaussian pulse and a chirped super-Gaussian pulse.

本论文基于上述提及的基本概念、分析方法和衍射积分理论，以描述超短脉冲光束的数学物理模型(包括超短脉冲高斯光束、超短脉冲贝塞耳—高斯光束、超短脉冲拉盖尔—高斯光束和超短啁啾脉冲光束等)为主要研究对象，研究超短脉冲光束在自由空间、色散介质和通过光阑的传输特性和位相奇点附近的光谱异常行为。

The results show that relationship between flow stress and strain rate is applied to hyperbolic sine equation in the hot compressive deformation of 6061 aluminum alloy; at the same time, relationship between logarithmic hyperbolic sine of its flow stre...

研究表明，6061铝合金热压缩塑性变形时的流变应力和应变速率之间的关系满足双曲正弦函数关系式；其热压缩塑性变形时流变应力的双曲正弦对数项与绝对温度倒数之间满足线性关系，其高温压缩变形受热激活能的控制。

For every one of my New Year resolutions, I have been a backslider for years.

说到我的新年决心，我每年都做

With empathy and focus on a feeling level, we can all relate to the common ground of mutuality of emotions.

有了同情心和感觉上一级的重点，我们都可以涉及到相互的情感共同点。