近似误差

The calculations show that the approximation for the birefringence and the rotatory property of interaction material leads to an error in the optimum incident angle for TeO2 more than 10%, a diviation in fa-λ0 relation from experiment results, and make the spectral resolution and angular aperture of the device to be degrade.

结果指出，在该波长下，对晶体双折射取近似表达式和不计入晶体的旋光特性，对光波最佳入射角θi的选取(在θi小于60°的范围内)，将引入大于10%的误差，这个误差由于涉及到是否满足动量匹配条件，因此会对器件的性能有直接的影响。

Based on the Influence factors of location error in clamping apparatus design, this paper has established the relation function between the procedure size s or angles and the location norm parameters, in which the positioning error substituted by the approximate differential value of function.

分析夹具设计中定位误差的影响因素，建立了工序尺寸或角度与定位基准有关量的函数表达式，由函数的微分近似代替定位误差。

First, the S-CDMA-HFC system with integrated traffic is introduced and the method of traffic integration is given. Second, the upstream channel capacity of the S-CDMA-HFC system with integrated traffic that has the same rate is analyzed. The chronoff limit and Gaussian approximate equation of the upstream channel cutoff probability are derived. Third, the impact of the selection of the line transmission rate on the upstream channel capacity of the S-CDMA-HFC system with integrated traffic is discussed in detail. The cutoff probability and throughout equations of the upstream channel with different integrated traffic are derived. Fourth, the impact of the power control error on the capacity is discussed. Results show that the power control error will degrade the upstream channel capacity and have different influence on the different traffic. Finally, the capacity requirement of the initialization process is raised. Analytical results show that the initialization process will impact on the capacity slightly.

首先，简单介绍了综合业务S-CDMA-HFC系统，给出了业务综合的方法；然后，分析了具有相同码率的综合业务条件下的S-CDMA-HFC系统上行信道容量，导出上行信道中断概率的切尔诺夫上限和高斯近似公式；然后，详细讨论了基本传输速率的选择对综合业务S-CDMA-HFC系统上行信道容量的影响，导出了不同业务综合条件下上行信道的中断概率和吞吐量公式；然后，讨论了功率控制误差对综合业务S-CDMA-HFC系统上行信道容量的影响，结果表明功率控制误差会使上行信道容量下降，且对不同业务的影响程度是不同的；最后给出了初始接入的容量要求，分析结果表明初始接入将对综合业务S-CDMA-HFC系统上行容量带来影响，但不明显。

Finishing calculation of mean value, standard deviation, skewness, kurtosis of Beta distribution.(2) Fitting parameters of many kinds of typical distribution and using residual deviation to evaluate fitting precision.(3) Using Beta distribution as an agreed indication distribution applied to many kinds of practical photoelectric measurement distributions.(4) Deriving theory formula of Bayes point estimation about Beta distribution parameters and mean value and standard deviation on the condition of mean square error loss function and supposed the prior distribution is uniform distribution.(5) Generating MCMC sample from post distribution by the method of Gibbs sample algorithm. Calculating bayes point estimation from sample on the condition of mean square error loss function. Calculating confidence interval by an approximate method to complete interval estimation.

本文的主要工作有：(1)解决了Beta分布参数a和b的精确计算以及均值、标准差、偏度、峰度的计算问题；(2)拟合出10余种典型分布的Beta分布的两个参数，并且采用剩余标准差评价该Beta分布的拟合精度；(3)对多种典型的光学与光电测量系统的测量分布进行了Beta分布统示表示；(4)在假设先验分布为均匀分布前提下，得到参数a和b以及均值μ和标准差σ在均方误差损失函数下的贝叶斯点估计理论计算公式；(5)利用直接抽样的Gibbs抽样算法，从后验分布中产生MCMC样本，从样本直接计算均方误差损失函数下的贝叶斯点估计，并使用一种近似方法计算其置信区间，完成区间估计。

According to the definition of the minimum zone method, the mathematical model is presented for evaluating flatness error and establishing datum plane equation.

分析了常用的近似评定法(三点法、对角线法、最小二乘法等)存在的局限性，根据最小区域法的定义，给出了基准平面方程及平面度误差评定目标函数数学模型的建立方法，并举例说明了采用Matlab进行平面度误差的计算。

He proved that:if the total moving times of mesh M is a finite number and independent ofΔt andh.the L2-norm error estimate is optimal;if Mh is independent ofΔt and bounded,energy norm error estimate is optimal.

并证明了当网格变动次数M是不依赖于Δt和h的有限数时，近似解与真解的L2误差估计是最优的；当Mh不依赖于Δt且有界时，能量模误差估计最优。

The convergence by use of ellipsoid function is more quickly than that by use of spherical functions as basic function.

提出了基于椭球函数适配的最小能量误差近似的声全息变换方法，解决了拉长体声源声场重建时，采用球函数适配近似收敛性差的问题。

By study the method of approximate development of surface of revolution,the mathematiccal model of approximate development,precision analysis and error correction has been gained.

通过对不可展回转曲面近似展开方法的研究，得到了回转曲面近似展开、精度分析和误差矫正的数学模型。

In the first part, first of all, we have a priori estimate for solution of the reaction-diffusion equation with initial condition and Dirichret boundary conditions. Then, we construct a semidiscrete Legendre pseudospectral scheme, and have a priori estimate for approximate solution. We discuss the asymptotic stability of approximate solution. At last, we get a error estimation on large time for solution of the semidiscrete system.

首先，对此类方程初边值问题的解进行了先验估计；然后建立方程半离散的Legendre拟谱格式，并对近似解进行了先验估计，讨论了近似解的渐近稳定性；最后，得到了半离散系统解的长时间误差估计。

Groups the population according to the search width and integrated partition region principle, and determines task allocation on the basis of balanced task. Further regarding the center of the square grid as the point of the graph, transforms the original problem to be an approximate Hamilton question, then obtain one path like "one stroke" starting from the jumping-off point and rendezvousing for the midpoint of left side.

根据搜索宽度和整分搜索区域原则进行人数分组，再根据区域分配的均衡原则确定任务分配，最后把每个方格中心看作图中的点，将搜索问题转化为一个近似的哈密尔顿问题，设计出一条从起点处出发集结于一边中点的&一笔画&路径，而该路径的搜索效率达到95%，即得到的是误差很小的近似最优解。

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。