近似误差

By using function theoretic methods,the existence anduniqueness of the above problem are proved,which is generalization and devel-opment of related results.

先将其转化为一阶非线性椭圆型复方程的混合边值问题，然后使用Newton嵌入法得到了这一混合边值问题的近似解，并且在一定条件下给出了近似解的误差估计。

In the numerical simulation, the new formulation not only remedies the boundary deficiency problem in the original SPH but also more efficiently repairs the truncated integral in kernel approximation caused by discontinuity and eliminates the errors from particle inconsistency in discontinuous region.

比较不同SPH方程近似二次函数的结果，新方法不仅改进了传统SPH方法存在的边界缺陷问题，同时在非连续区域内也能更有效地修复由非连续引起的核近似截断积分和消除粒子不一致性所造成的误差。

Then the generalized moving least squares approximation is derived under adding the residual of high orders derivative.

从而，进一步导出了不仅要求近似函数还要求其任意阶导数在各节点处的误差的平方和最小的广义移动最小二乘近似。

However, the generalized moving least squares approximation makes require least squares approximation with regard to functional and its derivative value on all nodes.

而广义移动最小二乘近似要求近似函数及其导数在所有节点处的误差的平方和最小。

For the sake of decrease of the computing time, modifying generalized moving least squares approximation is constructed under adding the residual of arbitrary high orders derivative only at the portion nodes.

为了降低计算工作量，构造了要求近似函数在全部节点处和任意阶导数在部分节点处误差的平方和最小的改进广义移动最小二乘近似。

For the sake of decrease the computing time, modifying generalized moving least squares approximation was constructed under adding the residual of high orders derivative only on the portion nodes.

为了降低计算工作量，本文构造了要求近似函数在全部节点处和任意阶导数在部分节点处误差的平方和最小的改进广义移动最小二乘近似。

The results are the following: When calculating the motion mass, it is better to use idler's equivalent mass instead of the rotating part mass and serial idler's rotating inertias and equivalent mass are calculated. The accurate analysis result for the deflection curve length of the belt shows: The error calculated by the approximate parabola length is lower than 10〓. Thus the approximate method is accurate enough for calculation. The relations between the running resistances coefficient and the belt velocity are studied by experiment, which are the bases for calculating the linear coefficient values between them.

得出：在计算参与运动质量时对托辊应采用托辊的等效质量而不是目前采用的托辊旋转部分质量，并计算出了系列的托辊转动惯量和等效质量；对输送带的挠曲线长度进行了精确的分析，结果表明：采用近似的抛物线长度计算方法其误差在10〓以下，因而得到在计算输送带挠曲线长度时采用近似的抛物线具有足够的精度；对输送机运行阻力系数与带速间的关系进行的实验研究，得出阻力系数与带速线性关糸的系数值。

Varnhorn applied the method of approximate approximation to functions which are defined on compact intervals and investigated the error.

Varnhorn给出了一维紧区间上函数的近似逼近方法，而且还可以控制近似逼近的截断误差。

Computer simulations validate the performance of these algorithms. And the model error of low order approximation distributed sources model, spatial frequency distributed sources model and Jocabi-Anger series expansion distributed sources model are discussed.

通过计算机仿真，验证了低阶近似分布源模型方位估计算法的性能，并且研究了分布源的低阶近似模型、空间频率模型和低阶Jacobi-Anger级数展开模型的模型误差。

The average and maximum relative errors of the approximation do not exceed 1.0% and 2.0% respectively, compared with theoretical results, which explains its accuracy.

对此，提出了一种简单而实用的近似式，该式与理论值的平均和最大相对误差分别不超过1.0%和2.0%，说明了该近似公式的准确性。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。