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In chapter 4,on the basis of chapter 3,a new formulation of hybrid/mixedsingular plate element based on Reissner's plate theory is set up,and 4-node arbitraryquadrilateral hybrid/mixed singular bending plate element formulas including theeffects of transverse shear deformation is derived,then by the use of this method,alarge quantity of numerical computations are carried out,at the same time,the resultsare compared with theoretical solutions and the results obtained by other singularfinite element methods.

第四章 在第三章的基础之上，建立基于Reissner型板理论之上的杂交/混合奇异板单元列式，推导出了考虑剪切效应的四节点任意四边形杂交/混合奇异弯曲板单元公式，并进行了大量的数值计算，同时与理论解析解和其它有限元解进行了比较，计算结果表明：本文提出的杂交/混合奇异板单元方法是可以用于计算含裂纹平板弯曲应力强度因子的一种高效、可靠、简便易行的方法。

The inverted boundary data becomes closer to the exact solution when the number of elements increases, and numerical experiments show that the rate of convergence is higher for the formulation using the singular integral equation.

数值结果显示，当元素数目增加的时候，收敛性变得较佳；同时，使用奇异积分方程式的收敛性比较好。

By extending the incremental singular value decompositionto the kernel space,the kernel formulation of incremental kernel PCA,which possessed much lower computational complexity and was suitable for online model updating,was obtained.

RKPCA算法通过将递归奇异值分解推广到核空间，给出了核形式描述的递归KPCA算法，运算复杂度比KPCA明显降低，保证非线性监控模型能够在线更新。

A scientific approach to the formulation and application of specialist coatings as applied to slide Gate Valve refractories is a new departure.

科学的方法制定和应用的专业涂料适用于滑板阀耐火材料是一个新的起点。

ABSTRACT A new learning method with self-adaptive deviation and adjustable slope sigmoid function is presented in this paper. The theoretical formulation and its deduction based on B-P are also presented.

本文提出了自适应偏移和可调陡度的B-P神经网络学习算法，给出了这种新的神经网络学习方法的理论推导和计算公式。

OBJECTIVE To investigate the effect of coating on Sodium ferulate porosity osmotic pump tablets in vitro release and to optimize the formulation.

目的考察包衣处方对阿魏酸钠口服微孔渗透泵控释片体外释药性质的影响，并优选最佳包衣处方。

Firstly, this paper has carried on the helpful discussion to the formulation and development of this concept, and has introduced the production and development of soft science in China.

本文首先对这一概念的产生和发展进行了有益的探讨，并介绍了软科学在中国的产生和发展。

Also proided is a formulation for the application of a scent attractant, with or without a solent-soluble dye, singularly dispersed or dissoled into a solent capable of attacking the surface of an artificial bait and promoting a migration of either or both the fish-attractant and dye below the surface of the bait.

也给予了一种应用香精诱食剂的配方，添加了或者未添加溶于溶剂的染料，仅仅扩散或者溶解入一种溶剂，这种溶剂能进入一种人工鱼饵的表面，提供要么鱼诱食剂或者诱食剂和染料进入鱼饵表面之下。

October 1, 2003: The day on which the Solicitor General argued to the Supreme Court that Vice President Cheney was entitled to keep all the details concerning his meetings with oil executives and their influence in his formulation of national energy policy confidential, including the names of the participants.

2003年10月1日：当天，即一般律师辩称，向最高法院指出，美国副总统切尼是有权保留的所有细节，他与石油的执行官和他们的影响力在其制定国家能源政策的机密，包括姓名与会人士。

The framework of most solid-state physics theory is the Schrdinger formulation of non-relativistic quantum mechanics .

固体物理学是研究固体物质的物理性质、微观结构、构成物质的各种粒子的运动形态，及其相互关系的科学。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。