数学基础

Excimer laser refractive surgery is an important adjunct to the subspecialty of refractive surgery. The principles of the excimer laser refractive surgery and surgery categories are analyzed.

在初始角膜模型假设的基础上，提出了能够用于近视、远视和散光等屈光手术的数学模型，计算出切削量和切削的层数，并给出了相应的算法框图。

It synthesizes the succinctness of comprehensive landscape maps and the abstractness of mathematical models.

在分析地学信息图谱、生态系统发展战略、DLU土地利用战略、数学模型与地理信息系统集成等研究成果的基础上，提出了一个区域可持续发展虚拟系统。

2Based on experiments, the calibration model was established to predict the sugar content in the unknown apple sample.

2在实验的基础上，建立近红外技术预测苹果含糖量的数学模型，用此模型进行近红外技术检测苹果中含糖量的计算。

Pupil's mathematics inductive suppositional ability is in positive relation to the level of their basic knowledge and skill.

学生的数学归纳猜想能力是与其自身基础知识与基本技能的掌握程度成正相关的 2。

Several have integral, mark and 0; have; of sheer number, relative number, average to plus, negative, reciprocal,; also includes rational number, surd; median of even number, odd, decimal;, mode, logarithm,, these are maths the basiccest in kingdom indispensable, it is scientific domain enumerated foundation.

数有整数、分数和零；有绝对数、相对数、平均数；有正数、负数、倒数、；也包含有理数、无理数；偶数、奇数、小数；中位数、众数、对数、指数、函数等等，这些都是数学王国里最基本的不可缺少的，是科学领域计数的基础。

The Logic-information method is one kind of theories of quantification, and it is a comprehensive mathematical analysis method based on symbolic logic, Comprehensive analysis, and mathematical statistics.

逻辑信息法是数量化理论的一种，该方法是以数理逻辑、组合分析及数理统计为基础的一种综合数学分方法。

As a kind of method based on symbolic logic, Formal method has gained more and more attention because of its preciseness. It has been applied broadly in systems in which the security and reliability are the key issues. For example, protocol security analysis, operating system security model, software development.

作为一种以数学逻辑为基础的方法，形式化方法以其严密性越来越受到众多领域的重视，尤其是在安全性和可靠性作为关键问题的系统，如协议安全性分析、操作系统安全模型、软件开发等方面得到了较为广泛的应用。

The basic theories of mathematical morphology for binary image are stated, and the most simple structure elements of morphologic transformation for binary images are proposed and proved. The geodetic morphologic transformation models are also developed. For the purpose of improving the speed of transformation in computer, the"set symmetric difference"is introduced to adapt each model. Some new morphologic filtering models and quantitative evaluating model of filtering effects in image processing are proposed, under the applied condition. The morphologic thinning methods are studied, and two new morphologic thinning models are developed. On the basis of analyzing the characteristics of mining maps, the image vectorizing tactics and a series of algorithms are proposed, including dynamic adaptive image thresholding using two thresholds, graphic and text separation, noise removal, and multi elements extracting models with mathematical morphology. Accuracy preserving compressed vectorizing model for image vectorization is put forward to generate vector data in multi layer.

论文对二值图象形态学的基础理论进行了较系统的阐述，提出并证明了二值图象处理中形态变换的最简单结构元素，并发展了测地形态变换模型；为了提高形态变换的计算机实现速度，引入了集合论中"对称差"的概念对各形态变换模型进行了改化；针对数学形态学在图象处理中的实际应用，提出了新的形态滤波模型及滤波效果的度量评价模型；研究了形态细化方法，提出了快速形态细化和保形快速形态细化算法；在研究矿图基本特征基础上，提出了人机协同矿图扫描图象矢量化处理策略及一系列扫描图象处理算法模型，包括双阈值动态自适应图象二值化、图文分离、噪声去除、图面多种要素提取形态变换模型等；在图象栅格—矢量转换中，提出了保精度压缩矢量化模型，以生成分层要素矢量数据。

At this time, the interaction between the two phased would promote each other. This phenomenon is just like the "sympathetic vibration" in mechanical engineering.

最后，在前面二维模拟的基础上，建立了三维气粒两相湍流流动数值模拟的数学模型，并用此模型对气粒两相气粒两相矩形射流进行数值研究。

On the base of these tested results and other experimental data of environment temperature, main factors which affect the temperature distribution are analyzed, the viewpoint that periodical environment temperature can be simplified as a syntonic curve is presented.

在现场试验研究和其它环境温度的大量实测资料的基础上，对影响预应力混凝土构件内部温度分布的主要因素进行分析，提出了周期性变化的环境温度可在数学上简化为一条简谐波曲线。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。