简化法

The author has simplified this methed by using couples of redundant forces to set up a typical equation and pointing out the rule that the matrix of the coefficients of simultaneous linear equations which are organized from the expansion of that typical equation.

本文利用了成对的未知力以建立冗力法的典型方程，指明了由典型方程所组成的联立方程中其系数排列的规律，从而简化了建立方程的过程和减少错误的机会。

In the same way, a Four-coloring of a maximal planar graph of 25 order G(subscript M25), is obtained with "simplified method of reduction of order".

利用"简化降阶法"对一个一定拓扑结构的12阶最大平面图G(下标 M12)进行着色，得到G(下标 M12)的四色着色方案；以同样的方法对一个一定拓扑结构的25阶最大平面图G(下标 M25)进行着色，得到了G(下标 M25)的四色着色方案。

The experiment of linear expansion coefficients of metals using micrometer caliper,in place of light lever is introduced,this makes experimental apparatus simpler,the operation easier,and reduces the unstable factor in experiment.

介绍采用千分表代替光杠杆法测量金属线胀系数的实验方法，该方法简化了实验设备，减少了实验中的不稳定因素，且易于操作。

To analyze the relation between education and rural economy, the paper chooses the real data from Chongqing as the experimental reform area for testing comprehensive harmonious urban-rural development. We use Gray Relational Analysis to measure the linkage level of education and rural economy; apply Mincer's model to measure the output elasticity of rural economy; and at last the paper use the simplified labor method to measure the contribution rate of education to rural economy.

为反映教育与西部地区农村经济发展的关系，本文选择统筹城乡综合配套改革实验区重庆的实际数据，运用灰色关联分析测算教育与农村经济的关联度，然后利用Mincer模型计算教育时农村经济的产出弹性，最后利用复杂劳动简化系数法测算教育对农村经济的贡献率。

Estimation of the normal and curvature on meshes with good precision and rapidness is the foundation of many applications, such as characteristic detecting, partitioning, simplification, smoothing, distortion, reconstruction on mesh.

精确、快速地计算网格曲面的法向量和曲率等微分量是众多离散曲面应用的重要基础，对网格曲面的特征提取、网格分割、网格简化、网格光顺、网格变形、网格重建等处理过程均有重要的作用。

Based on the simplified model, through modification and interpolation to the normal of surface, and making use of Phong shading to build lighting-model, it makes model more real in the status which has little detail and less facets.

在简化模型的基础上，通过对其表面法向量的修正与插值，并利用Phong着色处理构造的光照模型，使模型在极低的细节与面片数的状况下仍具有较高的真实感。

Proceeding by Bubnov-Galerkin method in combination with numerical method based on the quadrature formula the problem was reduced to a solution of a system of nonlinear integro-differential equations with singular kernel of relaxation.

根据Bubnov-Galerkin法，结合基于求积公式的数值方法，将问题简化为求解具有松弛奇异核的非线性积分－微分方程的问题。

OKA method may initial with any set of flows that satisfies conservation of flow, thus the algorithm is particularly useful for large-scale system.

OKA法只需要一个初始相容流，且不必是可行流，使得初始迭代点的确定简化。这对求解复杂系统具有明显优势。

A method is proposed in order to accelerate the convergence of artifcial neural network modeling of chemical process,in which the principal components analysis is applied in the data processing in training sets.

文摘：达到提出应用主成分分析法对样本进行预处理，减少网络的输入因子数，消除输入因子间的相关性并简化网络结构，达到提高网络学习速率的目的，得到的人工神经网络模型能达到所要求的精度。

According to the characteristic that the definition point of the Q matrix of wave front is always located on the extremum point on the axis of the beam, a three-dimensional formula for the rectificative factor of phase in complex ray paraxial approximation is proposed, which calculates the rectificative factor of phase directly without considering the calculation of the main directions and curvatures and the rotation of the coordinates, thus simplifying the paraxial approximation calculation by the complex ray expansion method.

根据波前Q矩阵的定义点总位于波束轴上极值点的特点，提出了三维复射线近轴近似相位校正因子计算公式。该公式不用考虑主方向和主曲率的计算和坐标旋转，直接计算相位校正因子，从而简化了复射线展开法的近轴近似计算。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失