查询词典 mathematical

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。

An example is demonstrated for comparing between the mathematical model and the approximate method.

结果表明，本文提出的动防洪库容计算方法与采用数学模型的计算结果基本吻合。

Taylor Formula is a very important content of mathematical analysis, it can intensively embody the soul of "approximation" of calculus, and it is extensively applied in the theoretical analysis and practical application.

泰勒公式是数学分析中的重要内容，集中体现了微积分中"逼近法"的思想，在理论分析和实际应用中经常涉及。

It is the aim of this book to present various basic and important results of vector optimization in an abstract mathematical setting and to demonstrate its usefulness in vector approximation and cooperative differential game theory.

本书的目的是在抽象数学柜架下给出向量优化的各种基本和重要结果并阐述它们在向量逼近和合作微分对策理论中的应用。

A: It might be used as Arabic numbers or some mathematical signs.

中国字倒有可能成为如同阿拉伯数字或数学符号一样通用的信息载体。

Based on the mathematical model, the variation of arc length is bigger than that of wire extension.

结果表明，高速旋转电弧焊接时，弧长的变化较焊丝伸出长度的变化更为显著。

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 of arch dam optimization is simply introduced.

第1部分简要说明建立拱坝优化的数学模型。

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。

I can still vividly recall the impressive scenes you gave. You were among my friends and relatives who accompanied me from my house to the seaport and when the porters were slow to show up, you obligingly carried my suitcase for me.

你对我的种种感人情意，使我记忆犹新，那天你随着我的亲友从家里送我上轮船，搬运工迟迟不来，你毅然替我提着皮箱上船。

St. Nicholas became the patron saint of Russia, where he was famous for his red cape, flowing white beard, and bishop's mitre.

圣尼古拉成了俄罗斯人的守护神，在那里，他以身披红斗篷，留着飘逸的白胡须，戴着主教法冠而闻名。