数学处理

Comprehensively making use of the basic theory, such as Space Analytic Geometry, Gear Meshing Engagement Theory, Method of Mathematical Calculation, Theory for Error Analyzing and Data Processing, the author has established the mathematical models of the new method, which has included the analytic mathematical model for precision orientation, the mathematical model for the ball's diameter and the measuring diameter, the mathematical model about the ball's centre, the calculation model for tooth alignment diviations and the model for tooth alignment error evaluation.

本文综合应用空间解析几何学、啮合原理、计算方法、误差理论与数据处理等有关基础理论，推导建立了新方法的数学模型，包括：确定定位关系的解析法数学模型，测球直径与测量半径的数学模型，测球球心的数学模型，齿向偏差的计算模型以及齿向误差的评定数学模型等。

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。

Chapter Five shows the case study of the beauty of math in high school teaching. Conic section is taken as an example to unearth the beauty of mathematics in from the following three aspects: 1. the language beauty of conic section reveals the external formal beauty; 2. the methodological beauty and the logical beauty of conic section reflect the internal rational beauty; 3. the beauty of mathematics in conic section reveals the new value in internal knowledge structure of textbooks. Moreover, the application of the beauty of mathematics in high school math teaching is also discussed from the following four points of view: the pursuit of conciseness, the construction of symmetry, the utilization of unity and the discovery of uniqueness.

首先，以圆锥曲线教学为案例来挖掘中学数学教学中的数学美，具体从三个层次探讨①圆锥曲线语言之美，是数学美的外在形式美具体展现；②圆锥曲线方法美、逻辑美，是深层次数学美的内在理性美的反映；③在圆锥曲线的教学过程中，利用其数学美处理教材，揭示内在知识结构的新价值；其次，提出数学美在中学数学学习中的具体案例运用，并具体从追求简洁性、构造对称性、利用统一性和发现奇异性四个方面来举例探讨。

With the development of computer technology, the computer business has been based on a single arithmetic, document handling, based on the simple links to the internal network of internal processing, office automation, development of enterprises based on complex intranets, external network, the global Internet enterprise-class computer systems and the scope of information sharing and processing.

随着计算机技术的发展，在计算机上处理业务已由基于单机的数学运算、文件处理，基于简单连结的内部网络的内部业务处理、办公自动化等发展到基于企业复杂的内部网、企业外部网、全球互联网的企业级计算机处理系统和世界范围内的信息共享和业务处理。

With the development of computer technology, the computer business has been based on a single arithmetic, document handling, Based on the simple links to the internal network of internal processing, office automation, development of enterprises based on the complexity of the internal network, external network, the Global Internet enterprise-class computer systems and the worldwide information sharing and processing.

帮我翻译一下论文摘要嘛！谢谢了！随着计算机技术的发展，在计算机上处理业务已由基于单机的数学运算、文件处理，基于简单连结的内部网络的内部业务处理、办公自动化等发展到基于企业复杂的内部网、企业外部网、全球互联网的企业级计算机处理系统和世界范围内的信息共享和业务处理。

Due to its good effect in the reservation of information of signal abrupt change, mathematical morphology is often applied in the detection and location of short-term power quality disturbance, however, there is still a defect of invalid detection existing in partial detection methods based on mathematical morphology while some zero-crossing disturbances are detected. In this paper three mathematical morphology based disturbance detection and location methods, i.e., the method based on first-order derivation and morphological gradient, the method based on morphological gradient and soft threshold processing and the method based on dq decomposition and top-hat transform, are analyzed, that is, by means of simulation the adaptability of these methods in the analysis on the signals of voltage sag, voltage swell and electromagnetic transient oscillation is compared.

数学形态学因其在保留信号突变点信息方面有很好的效果，因此常用于短时电能质量扰动的检测和定位，但基于数学形态学的部分方法仍存在对某些过零点扰动检测失效的缺点，文章分析了3种基于数学形态学的扰动检测和定位方法，即基于1阶求导和形态梯度的方法、基于形态梯度和软阈值处理的方法、基于dq分解和高帽变换的方法，通过仿真比较了3种方法在分析电压暂降、电压暂升、电磁暂态振荡等信号方面的适应性，结果发现基于dq分解和高帽变换的方法在检测过零点扰动时具有很好的效果，因此选取这种方法对实测扰动数据进行了检测和定位分析。

In this paper we describe hierarchy stages about how a teacher (1) manages child methods (2)cuts in as a guide and animater (3)practices"cognitive conflict". We also use questionaire to collect children's opinions about mathematical classroom learning activities. These phenonmenens and evidences well represent the transformation of mathematical teaching and learning patterns.

本文藉由提出教师处理儿童的「自然想法」，扮演引导者、促动者的「适时介入」，对儿童「认知冲突」的处理等行为模式，及问卷调查中儿童对数学教学活动的一些描述；以呈现数学教室活动型态的转变的现象及证据。

Through analysis of the basic diathetic requirements that the reformation of maths education in high school in the twentyfirst century has set for teachers of maths of high school, authors of the thesis have outlined the goals of maths education in teachers′universities for the maths education major students.

本文从分析二十一世纪中学数学教育改革对数学教师的基本素质要求出发，提出师范院校数学教育专业的培养目标，并以此为基础，分析了现行数学教育专业课程体系的现状，找出课程体系改革中应处理好的几个问题，提出了以模块为基础的数学教育专业课程体系改革的初步设想。

For preparing for the researches of text digital watermarking and advantaging other researchers" development when using the Chinese mathematical expression theory, this paper designs and realizes a development platform of Chinese mathematical expression. It has been proved by experiments that the platform"s function, execution speed and stability can satisfy the requirements of conversion and operation of enormous data.This research found out that the structure information of Chinese have plenty redundant information that can be used by the Chinese mathematical expression for the digital watermarking, the data embedded can possess better robustness. Based on this finding, this paper designs a kind of text digital watermarking method of embedding watermarking by using Chinese structure, and realizes the method by using the Chinese mathematical expression platform.Considering the watermarking embedding algorithms importance to the robustness of the text digital watermarking, this paper makes fully use of the advantage of the Chinese mathematical expression theory to design a kind of layered text method, which has being realized by using the Chinese mathematical expression platform. The layered text method can handle the text as a solid structure, and the embedding data havepreferable robustness.Finally, based on the researches of the text digital watermarking method and the text layered method, this paper integrates the method of making use of the Chinese structure embedding watermarking with the robust algorithm based on text layered, and realizes a brand-new text digital watermarking method. Proved by lots of experiments, this brand-new method has good robustness and better invisibility.

为了为研究工作做准备和方便其他使用汉字数学表达式理论体系的人进行开发，本文基于汉字数学表达式理论设计实现了一个汉字数学表达式平台，实现了Unicode汉字集中的汉字、汉字数学表达式、汉字的Unicode码之间的相互转化、依据汉字数学表达式提取汉字的结构信息、由汉字数学表达式在非中文平台上不依赖字库显示汉字的图像等功能，使用复合文档技术和流压缩技术进行数据的存储，使用对汉字数学表达式进行二叉树拆分来处理汉字数学表达式中包含的信息，使用自定义哈希函数来提高运行速度，实验证明，该平台功能、速度和稳定性完全能满足大量数据的转化和运算要求；通过研究表明汉字的结构信息中存在大量可使用汉字数学表达式理论加以利用的水印加载空间，加载在该空间的数据可以具有较好的鲁棒性，基于此，本文设计了一种利用汉字结构加载水印的文本数字水印方法，并使用汉字数学表达式平台将其实现；由于水印嵌入算法对于文本数字水印的鲁棒性至关重要，本文充分利用汉字数学表达式理论的优点，设计了一种文本分层的方法，并使用汉字数学表达式平台将其实现，使文本成为一个立体的空间，使嵌入在其中的数据具有更好的鲁棒性；最后在基于汉字数学表达式的文本数字水印嵌入方法的研究和基于汉字数学表达式的文本分层方法的研究的基础上，结合利用汉字结构嵌入水印的方法和基于文本分层的抗攻击文本水印嵌入算法实现了一种全新的文本数字水印方法，经实验证明，该方法有良好的鲁棒性和较好的隐蔽性。

Develops business enterprise that according to the business enterprise class calculator of the internal net, business enterprise exterior net, world Internet sophisticates to handle the system shares with world information in the scope to handles with business.

随着计算机技术的发展，在计算机上处理业务已由基于单机的数学运算、文件处理，基于简单连结的内部网络的内部业务处理、办公自动化等发展到基于企业复杂的内部网、企业外部网、全球互联网的企业级计算机处理系统和世界范围内的信息共享和业务处理。

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。