查询词典 mathematical analysis

Base on the principle of analytic geometry, the mathematical model of the intersected pipe s is established in this paper, and the curve of intersection is worked out by numerical analysis.

利用解析几何的原理建立了两管及多管相交问题的数学模型，通过数值分析方法求得了相贯线的几何形状。

It is just for the above reasons, statistical theory and simulated mathematical models, such as fuzzy mathematics, grey system theory, analytic hierarchy process, set pair analysis as well as the remote-sensing technology of geographic information systems are more and more emphasized so as to heighten the scientific value of such assessments.

综述了最近几年环境评价中应用较广或新出现的综合评价方法及其在环境评价中的应用，重点介绍了模糊数学方法、灰色系统理论、层次分析法和集对分析等数学模型评价方法，以及地理信息系统技术的原理和有关应用。

An analytical coupled water-energy balance equation at arbitrary time acale was derived by dimension analysis and mathematical derivation.

本文通过量纲分析和数学推导得到能用于任意时间尺度上的水热耦合平衡方程，该方程含有唯一参数。

An analytical coupled water-energy balance equation at arbitrary time acale was derived by dimension analysis and mathematical derivation. The equation has only one parameter.

本文通过量纲分析和数学推导得到能用于任意时间尺度上的水热耦合平衡方程，该方程含有唯一参数。

In this paper, they have not only illustrated the practical approaches and methods of modern mathematical analysis used in anode baking and thermotechnical procedure, but also provided computational techniques for the approximate solution to thermotechnical differential equations.

它的创新之处在于借助Mathematica系统的强大的符号运算功能与该系统提供的控制语句，能实现系统有效渐近解的自动求解，到目前为止，还很少见到用计算机实现其自动求解过程。

With the advancement of science and technology, some new theories and new ways emerged gradually, some of them merged with specific theoretical tools, this specific theoretical tools include mathematical morphology, fuzzy techniques, neural networks, wavelet and so on. Secondly, in this paper, it described and analyzed the segmentation method based on the edge in the domain of image segmentation in detail. It did experiments on several edge detection operators using MATLAB, it summarized the advantage and the shortcoming of traditional edge detection operators, and the operating environment. On the basis of the experimental analysis, it implemented an edge location more precise, more efficient operating speed edge extraction method——Template Vector. In this method, it optimized differential approximate calculation of first differential operators the paper mentioned. After experimented on this edge extraction method, contracted with the traditional methods, the edge outline is extracted more accurately and more exquisitely, furthermore, it retained the object outline furthest, and achieved more satisfied edge extraction result.

其次，对图像分割领域中常用的基于边缘的分割方法进行了详细的研究与分析，对各种边缘检测算子进行了MATLAB环境下的实验，分析总结了各种传统边缘检测算子的优缺点和适应环境，并针对传统边缘检测算子在处理显微图像时的缺陷，在实验分析的基础上研究并实现了一种边缘定位更加精确、运算速度更加快捷的边缘提取方法——模板向量算法，在该算法中，对文章提到的一阶微分算子中微分的近似计算作进一步优化，经过对该边缘提取方法进行实验，其结果与传统方法相比，轮廓提取更为精确细腻，且最大程度的保留了图像中物体(目标个体或者明显噪声点)的轮廓，得到了比较理想的边缘提取效果。

Applying theories of numerical analysis and higher geometry, the corresponding mathematical model of stem line is established according to different stems. Whereby, the centers, radii of the arc and its tangent points with the water-line can be found and the curve of arc radius is thus determined. A general formula for expressing stem curved surface is introduced.

应用数值分析和计算几何理论，根据船体首部线型特点，建立首柱轮廓线数学模型；计算水线首圆弧圆心、半径和切点，确定首圆弧半径线；给出首部曲面的通用方程式。

The mathematical model was verified in experiment with the method of indirect squeeze cast Archimedean spiral proof sample. And the experimental results show that the maximum deviation between the theoretical value and measured value is less than 8%. This model can be used for quantitative analysis and estimating effects of the craft factors on the filling ability, and can also predict the maximum filling length. It has the important reference value to design the semi-solid alloy rheoforming technology and mould.

采用间接挤压铸造阿基米德螺旋线试样的方法对该数学模型进行了实验验证，实验结果表明：理论计算值与实验测定值之间的最大偏差小于8%；该数学模型可以定量分析和估算工艺因素对充型能力的影响，并可预测充型极限长度，这对半固态合金流变成形工艺设计和模具设计都有参考价值。

This paper reported a new method using tangential curvature to establish a mathematical model of the anterior cornea and an analysis of the regularity of the distribution of the asphericity Q. The curvature in the horizontal meridians is a prolate ellipse. The curvature in the vertical meridians is an oblate ellipse. The curvature of the horizontal meridians is important for anterior corneal asphericity.

本研究分析了运用正切曲率半径值建立人眼前表面角膜数学模型的科学性，显示角膜前表面水平子午线方向非球面性趋向于长椭圆，垂直子午线方向非球面性趋向于扁椭圆，说明人眼角膜的非球面性特性主要由水平子午线实现。

The tax payment appraised the system the appraisal method, mainly is through the use related mathematical model, establishes the tax payment appraisal target system and the target peak value system, carries on the automatic computation analysis to the data message, by discovers deviation to surpass prearranges the standard the questionable point factor, automatically screens the taxpayer by the computer which has the questionable point.

纳税评估系统的评估方法，主要是通过利用相关数学模型，建立纳税评估指标体系和指标峰值体系，对数据信息进行自动计算分析，以找出偏离度超出预定标准的疑点因素，由计算机自动筛选出有疑点的纳税人。

The witness also told the jury at the Royal Courts of Justice in London that he saw a paparazzo fighting with a member of the public who was trying to stop him taking pictures in the minutes before the emergency services arrived.

他还告诉在伦敦皇家法庭的陪审团，在急救服务到来之前，他当时看见一个狗仔队正和一群阻止他拍照的人打架。

The entire N／C program on a tape is made up of an accumulation of these successive data blocks.

纸带上的整个数控程序由这些连续数据单元连接而成。