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At the same time, under the condition of small strain, firstly, the secant shear modulus was always larger than the tangent shear modulus. Secondly, when the logarithmic coordinates were applied to describe shear strain, the decrease of shear modulus with shear strain could be expressed by reversed S shape curve with two inflexion points, and through analyzing and validating, the deduced equation could perfectly reflect this characteristic. Finally, different stress paths and strain areas would lead to different attenuation trends.

而且，在小应变范围内，割线剪切模量总是大于切线剪切模量；当剪切应变采用对数坐标表示时，剪切模量随着剪切应变的增加而衰减，且衰减的规律都可以表示为带有两个拐点的反S型曲线，经分析验证本文所得公式3可以对此特性进行很好地反映；但应力路径、应变范围不同其衰减幅度不同。

A model is erected for Fs with logarithmic spiral sliding surface which can simulate the genuine sliding surface better than others,then the express of Fs is deduced based on the upper bound theorem of limit analisis.

采用对实际滑裂面模拟较好的对数螺旋曲线滑裂面，建立了整体稳定安全系数F_c的模型，从极限分析中的上限理论推导了整体稳定安全系数F_c的表达式。

Russell made a claim that all pure mathematics could be deduced from logical principles, a belief called logicism.

罗素提出了索赔，所有纯数学可以推断从逻辑的原则，相信所谓 logicism 。

OBJECTIVE The similar formulas were deduced that samples and standards were normal distribution and lognormal distribution.The software was programmed through VB software.

目的研究了样品、标准品的数据均符合正态分布、对数正态分布时的数理相似度计算公式并通过VB编程予以实现。

In theory, the one-dimensional nonlinear longitudinal wave equations are deduced and the approximate analytical solutions are received.

理论上利用摄动法推导了一维非线性纵波方程的近似解析解。

According to the typical configuration of surface ships, dead—reckoning/ Loran C integrated models are presented. An iterated filter algorithm with corelated noise, modified nonlinear Extended Kalman Filter , is deduced.

根据水面舰艇的典型配置，建立了推算艇位／罗兰c组合系统模型，推导了改进的非线性推广卡尔曼滤波——噪声相关的迭代滤波算法。

2Combined design data of rapid-fire guns,the machine structure have beenabstracted reasonable computation model of reduction.The equations thatdescribe relative motion and relative force about between moveable elements havebeen deduced.

2根据某型自动火炮的设计资料并进行合理的简化将具体的机械结构抽象成合理的计算模型，推导出描述自动机可动部件之间相互作用及相对运动的具体表达式。

Then the chemical reduction of[Ni(N_2H_4)_x]~(2+) may occur along the magnetic line of force due to the enhanced electrode potential,leading to the formation of uniform 1 D wires.While with the increase of the concentration of Ni~(2+), the reaction rate increases too,so it can be deduced that the chemical reduction of [Ni(N_2H_4)_x]~(2+) may be taken place quickly in the whole system,leading to the formation of isolated particles coexisted with the wires composed of microspheres which formed along the magnetic line of force.

而当Ni~(2+)浓度较高时，反应速率相对较快，[Ni(N_2H_4)_x]~(2+)可能在还没来得及迁移到磁力线之前，还原反应就已经很快的在整个体系中发生了，导致出现了产物中纳米球和一维镍线共存的现象。

Considering the saltation of magnetic permeability of the ferromagnetic material when its temperature is more than the Curie point, the general solution of Maxwell equation is deduced.

考虑到铁磁性物质在温度跨越Curie点时磁导率的突变，推导了适用于该情况的Maxwell方程一般解。

Besides this, the calculation of magnetic energy and electromagnetic torque of SCLRM is deduced by virtual displacement principle, and the physical essence of the electromagnetic torque is also analyzed in detail.

利用虚位移原理推导出了SCLRM中的磁场能量和电磁转矩的计算方法，并详细分析了电磁转矩产生的物理本质。

The teacher likes the honeymouthed little girl very much.

老师很喜欢这个嘴甜的小姑娘。

Mr. Notker Bien's interests are traveling, spending quality time with the family and long-distance-running.

诺特卡·柏恩先生热爱旅游，长跑，以及和家人一起共度美好时光。