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According to that characteristic and based on the differential equation of the deformed surface of the orthotropic plate, with one principal direction size fixed, changing another principal direction size linearly, maintaining elasticity coefficient the same as in the first principal direction and Poisson ratio equal to the geometric mean of two principal Poisson ratios, the original orthogonal plate is equivalent to an isotropic plate. Results obtained show that the deflections of the equivalent isotropic plate are the same as the deflections of the original orthotropic plate at the corresponding points, the forces of the correspondent points have simple relations.

根据这一特性、从正交各向异性板挠曲面的偏微分方程出发，保持一个主方向尺寸不变，另一主方向的尺寸做线性缩放，保持弹性模量与第一主方向相同，泊松比取2个主方向泊松比的几何平均值，将这类正交各向异性板等效为一块各向同性板；通过分析得到：各向同性板任意点的挠度就是原正交各向异性板对应点的挠度，各对应点内力之间存在简单的比例关系，该文的方法将为工程技术人员提供方便，同时可以更加直观的认识正交各向异性板的受力。

The stochastic Bonhoeffer-Van der Pol system is first transformed into an equivalent deterministic system using the Chebyshev polynomial approximation, so that the problem of controlling stochastic chaos is reduced to the problem of controlling deterministic chaos in the equivalent system.

首先运用Chebyshev多项式逼近的方法，将随机Bonhoeffer-Van der Pol系统转化为等价的确定性系统，使原系统的随机混沌控制问题转换为等价的确定性系统的确定性混沌控制问题，继而可用Lyapunov指数指标来研究等价确定性系统的确定性混沌现象和控制问题。数值结果表明，随机Bonhoeffer-Van der Pol系统的随机混沌现象与相应的确定性Bonhoeffer-Van der Pol系统极为相似。

Chiropodist/Podiatrist denotes a person with a degree in podiatry, podiatric medicine or podiatric studies or equivalent and is eligible for registration with the United Kingdom Council for Professions Supplementary to Medicine or for applying a license in the United States of America or equivalent.

足病诊疗师指持有足病诊疗学、足病医学或足病学学位或具备同等学历，并符合资格向英国辅助医疗专业管理局注册或在美国申领牌照或具备同等资格的人。

Results show that the equivalent mass in normal direction depends on the modes of collision. In the case of reversed sliding and sticking, the coefficient of restitution varies as a result of the instantaneously changes of the equivalent mass during impacting process. The coefficient of restitution depends not only on the contact force, but also on the kinematical and dynamic parameters of the two rigid bodies. Moreover, a formula is proposed to calculate the coefficient of restitution.

指出法向等效质量依赖于碰撞状态，在反向滑动和停止滑动这两状态下的法向等效质量是变化的，因此导致其恢复系数是变化的，这样，恢复系数不仅与接触力有关，而且还与两刚体的运动和动力参数有关，同时给出各种碰撞状态下的恢复系数计算式。

Based on theoretical and experimental analysis, the problem of shape coefficient measurement is solved through conducting granule settling experiment in virtue of the replacement of the equivalent diameter of equal volume by the equivalent diameter of equal sedimentation velocity.

基于理论和试验分析，用颗粒的等沉降速度当量直径取代了等体积当量直径，进而利用沉降试验解决了颗粒的形状系数测定问题，并通过携砂试验得到了埕北地区东营组油藏砂粒的最小携砂速度计算公式。

Further some equivalent conditions for a trivial algebra are given, and that the mapping which maps the subset of the universal to the maximal congruence that saturates the subset being a -homomorphism, being order preserving, being constant mapping, the algebra being trivial are equivalent is proved.

最后利用该同余给出了关于平凡代数的几个等价条件，证明了泛代数的子集到渗透该集的最大同余的映射为保序映射、该映射为-同态、该泛代数平凡等是等价的。

Then a new way was defined to prove that the unique set of sequences equivalent to context-free languages can be obtained by mixed self-assembly of mole-cules with 1-,2-,3- sticky ends,which is a supplement for Winfree's theory that the self-assem-bly of dendrimer nanostructures is equivalent to context-free language.

另一方面，文中定义了一种新的通过上下文无关语言通过自装配产生线性语言的方法，即证明了等价于上下文无关语言的特定序列集能通过1-，2-，3-粘头分子的混合自装配产生线性语言，同时，这是对Winfree关于树状纳米结构自装配等价于上下文无关语言理论的一个较好的补充。

By academic analyzing, it is concluded that two order discrete paraxial approximation formula of the paper, multiple transmitting formula and polynomial extrapolation formula are the different forms of continuous paraxial approximation formula, so they are with nearly equivalent precision and stability and with equivalent applicability and limitation.

据此文献[3]将傍轴近似公式归结为一类从特定的无限域模型导出的人工边界条件，并且提出了新的从一般无限域模型导出的具有普适性的、称为"多次透射公式"的局部人工边界条件。那么，是否也可以从一般无限域模型导出具有普适性的傍轴近似公式呢？

With regard to the section of coset in algebraic structure, a series of well-mastered concepts including equivalent relationship and division are applied, and typical examples are cited to introduce the conception of equivalent relationship-coset relationship defined through subgroup.

对于其中代数结构部分的陪集一节，应用已经熟知的等价关系和划分的概念，通过引例导出由子群定义的等价关系―陪集关系，进而得到群的划分―陪集，再研究陪集的性质。

Experiments carried on color negative film and color paper showed that these bi-equivalent couplers perform higher photographic activity and higher stability compared with conventional quadra-equivalent magenta couplers and are also different from DIR couplers.

文摘：本文叙述硫醚类二当量品红成色剂的合成和性能研究，经彩色胶卷和彩色相纸应用试验，与四当量成色剂比较，有着更高照相活性与稳定性，并说明了与DIR品成色剂的区别。

This is the inheritance of the tribe of the children of Issachar according to their families, the cities and their villages.

19：23 这些城并属城的村庄就是以萨迦支派按着宗族所得的地业。

I've have enough of your garbage.

我听了你的废话。