推导出

The equations of buckled equilibrium were derived based on the displacement field of the first order shear-deformation theory.

用一阶剪切变形理论的位移场推导出5个屈曲平衡方程。

Based on the approximation expression of the oil film force of CSFD presented in chapter 6 for the short bearing, effectiveness of the active vibration control of CSFD on the rigid rotor、flexible rotors with one disk and two disks are studied both theoretically and experimentally.

在第六章推导出了CSFD在短轴承π油膜假设下油膜力的计算公式之后，分别从理论及试验两方面详细地分析了CSFD对刚性转子、单盘柔性转子、双盘柔性转子系统的振动进行分段控制的控制作用；讨论了不同的控制规律、切换滞后、切换次数以及转子角加速度等对控制效果的影响，以及在双稳态区切换时转子运动的方向性问题。

The procedure estimating the regularization parameter is the same as that the adaptive Marquardt algorithm used. The Frechet derivative is directly derived from the forward methods: SAM and FEM. With the theory of SAM and Zhang′s geometric factor, the relationship between the Frechet derivative and the geometric factor is established, at the same time, one useful corollary is given, i.

选取正则化因子时，沿用自适应的Marquardt算法中阻尼因子的选取计算方法；计算Frechet导数时，根据逐次逼近解法和张氏几何因子理论，推导出了Frechet导数与张氏几何因子的关系，得出了Frechet导数为张氏一阶积分几何因子的结论。

Based on the analytic model of an eccentric slider crank mechanism with elastic effects at both joints of the coupler and four coupler Mathieu-typed equations of motion in terms of the generalized coordinates of the system,the extract solution is developed from the improved Hill method with accelerated convergence.

在所建立的连杆接头处具有弹性效应的曲柄滑块机构的动态解析模型以及在广义坐标下推导出的4个马修型运动方程的基础上，由具有加速收敛性的改进希尔法进行了精确求解。

Thirdly, illuminance distribution of LED arrays is researched with the combination of theoretical analysis and simulation of computer.

推导出LED阵列对与其平行的平面上的光照度分布公式，并用计算机模拟加以验证，两者吻合较好。

By usingthe relation between the Bergman kernel and the Riemann mapping and Plemly for-mulae,the second boundary integral equation about the Bergman kernel is obtained,moreover,the integral kernel is a continuous,without any singularity,parametized Neu-mann kernel.We discuss the case of some symmetric property,and get correspondingresults.

主要利用Bergman核与Riemann映照之间的关系，推导出Bergman核满足带有参数化Neumann核的第二类边界积分方程，积分核是连续的没有任何奇性，并讨论了具有某种对称性质的情形。

Time demand functions are deduced for two types of sub-tasks in terms of task interference function, respectively.

通过计算任务影响函数，分别推导出2类子任务的时间需求函数。

Application of HHGL to lithium atom As a starting point for exactly solving schrodingerequation for lithium,the part has twofold purpose,one isto derive the coupled hyperradial differential equation,and discuss whether HHGL can be used or not,the other isto build the symmetric basis functionfor twodimensional irreducible representation of 〓 permutationgroup and estimate the ground-state eigenenergy.

首先根据Pauli原理的要求，将N电子原子的波函数向〓群不可约表示之基展开，积分掉角度部分，推导出N电子原子的超球径耦合微分方程，其形式与氦原子耦合微分方程相似，差别表现在矩阵元〓的计算上。

Finally we studied the problem of the lower Bayesian confidence limit on the process capability index C_ The Jeffreys'non-informative prior distribution depending on Fisher's information is explored. The posterior distribution of C_is conducted.

最后，研究了C_pm指数置信下限的问题，通过Fisher信息阵确定Jeffrey无信息先验分布，推导出C_pm的后验分布，并据此采用最大后验密度方法构造了贝叶斯置信下限。

The question whence the foreign elements were derived, which were its distinctive characteristics, has of late been so learnedly discussed, that only the conclusions arrived at require to be stated.

何处的问题的外国势力，推导出，这是其独特的特点，最近被learnedly讨论，只有得出的结论需要加以说明。

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷