数学化

This software uses Visual Basic programming language which establishes procedures, it made the computer can self-action recognize the network's spanning tree, associated matrix, loop matrix, drag coefficient vector ,and flowrate vector and so on, then solute the problem according to flow calculation simulation model that has been established.

该软件利用可视化的Basic软件编制程序使计算机能够自动识别出用户所输入管网的生成树、关联矩阵、回路矩阵、阻力系数向量、流量向量等，然后根据己建立的数学模型进行求解。

Ln the memory of dynamic data system there are 500,000 measured data. This paper deals mainly with the change of cutting area in self-excitation qualitatively and quantitatively. The changes of position of cutting edge and cutting area are indicated with graphic method. The m...

文中重点叙述了利用上述DDS对自激振动时的切削面积变化规律进行定性与定量分析研究：利用计算机对切削刃位置和切削面积变化用图示法使之"可视化"：通过统计法建立起来的切削面积数学模型，可对动态切削面积进行实时解析计算，最后通过均方差分析，对4种算法进行比较，提供了实用而准确的计算方法与结果。

We call this movement the "Self-reliant Movement in mathematics education".

我们把这时期的教育运动称作为数学教育的"自立化运动"。

There are three main methods in face localization: localization according to face outline, localization according to complexion and localization according to templates constructed by some standard sample images. As to feature extraction, it can be divided into two parts because face features can be divided into geometrical features and algebraic features. While extracting geometrical features, the features of eyes, nose, mouth, eyebrows can be gained by some image processes: binary, sharpen, smooth, projection, calculating gradient and so on. In order to extract algebraic features, we can do some mathematical transformation for the digital images such as singular value decomposition, K-L transformation.

在人脸检测部分，目前存在的方法有利用人脸的几何轮廓进行检测、利用人脸的肤色信息进行检测、构造标准人脸模板进行匹配检测等等；在人脸特征提取部分，可以用一些图像处理的方法如投影、二值化、求梯度图像等提取人脸中各特征器官如眼睛、鼻子、嘴巴等的几何特征，另外也可以借助于数学变换，求取人脸图像的一些代数特征，如对图像进行奇异值分解，以奇异值代表图象的特征，或对图像进行K-L变换，以图像在构造的特征空间上的投影系数作为图像的特征等；在识别部分，可以通过距离度量或相似度来判断输入图像与样本图像的匹配程度，还可以通过神经网络方法进行人脸的识别。

The mathematical model for strategic bid and minimal production costs in a compe titive electricity market is presented in this paper.

提出了在竞争的电力市场中实现发电生产成本最小化的数学模型。

Application predicate logic on data sublanguage as its mathematical foundation would make the study of data sublanguage become the research of predicate logic and the optimization of data sublanguage become the matters of simplification of predicate logic.

本文旨在研究将谓词逻辑及公理化理论应用于关系数据库中表示数据子语言，应用谓词逻辑作为它的数学基础，使得对这些语言的研究成为对谓词逻辑的研究，优化数据子语言的表示成为对谓词逻辑的化简问题。

In this thesis, three major achievements were made in theoretical study: conditions and rules for preparing nano-powders by chemical precipitation are analyzed from the point of view of thermodynamics and kinetics, the principle, standards and experimental method for the aqueous dispersion of nano-scaled metal oxide powders were proposed and verified, mathematical model of nano-filming addition of dopants by chemical coprecipitation was established. In experimental research, nm-ZnO, nm-Bi〓O〓, nm-Co〓O〓 and nm-MnO powder with spherical shape, narrow particle size distribution and small particle size were prepared successfully, highly stable and dispersive aqueous suspensoid of nm-ZnO, nm-TiO〓, nm-Co〓O〓 and nm-MnO powder were prepared successfully and surface modification on these nano-powders was also achieved, 0-3 nanocomposite ZnO varistors with nm-ZnO, nm-TiO〓and nm-MnO respectively were prepared successfully by conventional mechanical attrition, and exhibited much better electrical properties than those of conventional varistors.

综上所述，本文在理论研究方面取得了三项成果：（1）从热力学和动力学角度推导并分析了液相化学沉淀法制备纳米粉体的反应条件和规律，（2）提出了纳米氧化物的水分散体系的设计原理、规范和通用实验步骤，（3）提出了共沉淀的数学模型和计算方法；在实验方面所取得的成果有：（1）成功制备了粒度小、分布窄、形貌对称的纳米氧化锌、纳米氧化铋、纳米氧化钴和纳米氧化亚锰，（2）成功地制备了纳米氧化锌、纳米二氧化钛、纳米氧化钴和纳米氧化锰的高稳定分散悬浮液并实现了干粉体的表面改性，（3）成功地进行了纳米氧化锌、纳米二氧化钛和纳米氧化锰对压敏电阻的0—3复合掺杂实验，试样性能远优于常规压敏电阻，为实现压敏电阻的高能高压化提供了新的方法和思路。

Furthermore, the code can be used for the symbolical implementation of certain mathematical algorithms that require derivatives.

进一步，其代码可以用于某些需要派生的数学算法的符号化实现。

Characteristics and advantages of the modular traction drive accelerating toolholder developed by ourselves are introduced.

介绍了自行研制开发的模块化牵引驱动增速刀柄的特点和优势，基于模糊数学建立了增速刀柄性能的模糊综合评价模型，并对刀柄性能进行了综合评定。

The calculating accuracy is ensured by expelling oddity points from the results. In part four, rotor life-loss caused by shear stress under torsional moment, turbo-generator rotors' combined vibration of bending and torsion are studied, and the maximum shear stresses of a stimulate rotor of N300MW steam turbine are calculated.

在第3章，重点研究了汽轮发电机组转子扭振机理和数学模型，特别是汽轮机特殊结构的模化方法，编写了计算程序，计算了某型300MW汽轮发电机组转子和试验台转子扭振特性。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。