数学分析

In this paper the method of combinational mathematics is used to deduce the probability generation function of the longest run in the Bernoulli trials,and get the probability generation function without using its probability function of kth order geometric distribution.

游程及其相关理论广泛地应用于随机检验、质量控制、DNA数据分析等许多领域，提出使用组合数学的方法推导出贝努利试验中最长游程的概率发生函数的计算公式，利用所得到的结果可以不用k阶几何分布的概率函数而很容易地得出它的概率发生函数。

With respect to phonetics, Distinctive Features for the phonetic syncopation of spatial information are extracted based on Bertin's retinal variables. The importance of geographic reality, cognitive laws and geometric laws in the syncopation is pointed out following the thorough inspection of the physical characteristics of spatial information and a phonetic hierarchy of phoneme、 phoneme combination is proposed after the summarization of different methods of syncopation in Psychology, Pattern Recognition, Mathematic Morphology and Cartography, which provides linguistic interpretation for cartographic symbol design and understanding. With respect to the property that map symbol is represented as the combination of attribute and geometry in digital form of spatial information, suprasegmental phoneme as unit is proposed which deals with the high level phonetic units and their structure with the bend of curve and the simple area of complex area as primitive.

在语音结构方面，基于Bertin的视觉变量，提取了产生空间信息语音切分的区别特征；对空间信息的物理特征进行了详尽分析，指出了地理真实、认知规律和几何规律在语音切分中的重要作用；在总结心理学、模式识别、数学形态学和地图学等相关切分理论的基础上，提出了空间信息音位系统以及音位组合规律，为地图符号设计与理解提供了语言学解释；针对地图符号通常在空间信息中表现为属性和形态相结合的特点，提出在超音段音位层次上重点关注以线切分单元——弯曲和复杂面切分单元——弯曲构成的简单面为基本元素的语音高级层次及其结构。

A mathematical model of spiral bevel gear tooth surface was built by analyzing manufacture method and meshing theory.

通过分析锥齿轮的加工方法和齿轮啮合理论，建立了螺旋锥齿轮齿面数学模型。

On the other hand, various algorithms of morphological arithmetic of binary image and grayscale image are analyzed deeply, then expanded to color image.

另一方面，在深入研究二值图像、灰度图像的各种形态学分析算法的基础上，将数学形态学扩展到彩色图像中。

The mathematical model of the binocular vision sensor is analyzed.

分析了双目视觉传感器的测量数学模型，提出了一种基于自由移动的一维靶标的双目视觉传感器标定方法。

We constructed biomathematic model by using Matlab5.1 neural network toolbox.

数学模型的建立及分析运用Matlab5.1神经网络工具箱操作。

In the view of biomechanics and biomathematics, we build the simple model with pivot and 4-rigid model, and make further analysis.

本文是在前人已有工作的基础上，对已有的模型进行了改进，运用运动生物力学和运动生物数学分别建立了带有支点的简单模型和四刚体模型，并对模型进行了更进一步的讨论和分析。

In this dissertation,the biostatistics and biomathematics methods are used to analyze the characteristics of motif in protein superfamily.The paper mainly includes the analysis of motif characteristics,conservative motif distribution,features extraction and the identification of the protein superfamily.

本文以蛋白质超家族中的模体和序列为研究对象，用生物统计学和生物数学中的方法，从蛋白质超家族中的模体功能特征分析及相对位置分布统计、信息特征提取和蛋白质超家族识别这三个方面进行了研究。

It covers mathematical and statistical methods concerning data analysis and modeling, the classical basis of biometry.

该杂志涵盖了有关数据分析、数据模型和经典生物统计学基础的数学和统计方法。

The aim of this paper is to propose a quantitative analysis of the texture,including density,size,shape and spatial distribution,of the biotite in Guéret granite by thin section study.

应用形态数学、图象分析及立体学原理，通过岩石薄片研究，对Guéret花岗岩内黑云母的结构特征进行了定量分析，揭示了黑云母矿物粒子在花岗岩中的密度、粒径、形状及空间分布的规律。

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。