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First, in the composite hypothesis testing, circular dispersion error which is more practicable than horizontal and vertical error is used to discuss some problems of the dispersion of impact points; and the critical area of decision in the dispersion problem is analyzed; the specific expression of Bayesian risk is worked out, which ameliorates the method that only can get the approximate solution by calculating numerical integration.

由此，本文主要应用Bayes方法对以下几方面进行了探讨：首先，在复杂假设下，本文利用圆散布误差这一精度指标对落点散布鉴定问题进行研究，它比以往所用的纵、横向偏差精度指标更具现实意义；分析了此鉴定问题的决策临界区域；给出其Bayes风险的具体表达式，对用数值积分进行近似求解的方法进行了改进；在此基础上，通过极小化试验的风险确定最优试验数n，并讨论了决策中犯两类错误的概率，给出了验前信息的表示。

The numerical examples in linkage synthesis and approximate synthesis show that the method is correct and effective.

机构综合与近似综合实例表明该方法的正确性与有效性。

In order to testify the approximate solution, it is compared with the numerical results.

为验证近似解的正确性，将其与数值解进行了比较。

The methods of research are numerical analysis and approximate analytic solution.

研究方法有数值法和近似解两种。

Due to the unavailability of explicit solution in this case, we present an approximate solution and a numerical algorithm.

最后，我们运用上述的模型框架和数值算法分析了中国居民的高储蓄问题。

The numerical results also show that the Boussinesq approximation will bring large error for big wall temperature difference.

计算结果也表明，在所计算的问题中，如果采用Boussinesq假设将使计算结果误差比较大。

Meanwhile, as a numerical approximation method, calculation error of meshless method is inevitable, so the adaptive process is programmed.

同时，作为一种数值近似计算方法，无网格法的计算误差是不可避免的，因此引入自适应方法。

This paper presents an approximation method to display realistic pictures of numerical control machining simulation very quickly.

提出了一种快速显示数控加工仿真高质量真实感图形的近似方法。

Spline functions are importan tools in approximation theory and numerical analysis.

多元样条是计算数学与函数逼近论领域里重要的工具。

The numerical results show that this method can get a good approximation in the

最后我们对算法的误差也进行了分析。

Objective:To explore the feasibility of laparoscopy in diagnosing and treating of abdominal diseases.

目的：探讨腹腔镜用以诊断腹部外科疾病及选择治疗方案的可行性。

The lifetime of nylon 1010 and nylon 1010/POSS composites decreased with increasing temperature.

热重-红外联用分析表明尼龙1010在氮气气氛下的降解产物主要为小分子的低聚物，POSS并不改变尼龙1010降解产物的组成。