应用数学

Ant colony algorithm is a simulation of ant foraging behavior of heuristic process This paper introduces the concept of ant colony algorithm and its development trends, analysis of the basic principles of ant colony algorithm to establish a general mathematical model of ant colony algorithm, presented its typical application.

蚁群算法是一种模拟蚂蚁觅食过程行为的启发式算法，本文介绍了蚁群算法的概念及其发展趋势，分析了蚁群算法的基本原理，建立了一般的蚁群算法数学模型，提出了它的典型应用。

Through the analysis, this paper established a mathematical model for an early-warning satellite to forewarn the TBM trajectory. The model comprised locating model of TBM coordinates. Based on the analysis of accuracy of the model, a conclusion which has certain academic meanings and engineering value is reached.

通过分析研究，建立了单颗预警卫星对战术弹道导弹预警的数学模型，主要包括了用预警卫星探测信息确定TBM坐标的模型，并对TBM弹道参数的精度进行了分析，得出了具有一定理论意义和工程应用价值的结论。

However, formalization method is based on profound mathematical theory which seems to be a challenge for most developers.

但是，形式化方法有着严格的数学理论，对开发者的要求比较高，因而，在实践中的应用并不是非常普遍。

It was the first time the sequence stratigraphy study had been done all across Naimanqi Depression. Jiufotang Formation of Naimanqi Depression was divided into two third-class sequences (SQ1 and SQ2) and five system tracts (SQ1 has LST, TST and HST; SQ2 has TST and HST), and in High System Tract of SQ2, two fourth-class sequences were defined (Ssq1 and Ssq2).2. According to the analysis of core and logging data, we considered that it is the delta fan facies and established the electrofacies model.3. The distribution of reservoir sand bodies had been predicted in the areas without well data by combining the methods of sequence stratigraphy and reservoir inversion. In addition, we summarized the method and process of combining geology and geophysics to predict reservoirs and we made a good prediction by applying it.4. Combining with sequence and depositional types, sandstone thicknesses and reservoir properties, based on Petrel Software platform, we used fuzzy mathematics to comprehensively evaluate reservoirs and define favorable areas. We classified the reservoirs in Naimanqi Depression into five types (TypeⅠ, TypeⅡ, TypeⅢ, TypeⅣand TypeⅤ) and pointed out four favorable areas: Block Nai 1, Block of western Naican 1-Zhangjia Depression, Block Nai 6 and Block of Xinfa-Zhangjia Depression.

其主要创新点如下：1、首次在整个奈曼旗凹陷范围内进行了层序地层学的研究，将奈曼旗凹陷九佛堂组地层分为2个三级层序(SQ1和SQ2)和5个体系域(SQ1由LST、TST和HST组成，SQ2由TST和HST组成)，并在SQ2的高位体系域中又识别出两个四级层序(Ssq1和Ssq2)。2、根据岩芯分析和测井资料识别，定义了研究区扇三角洲沉积相类型，并建立了测井相模板。3、通过层序地层学的研究，结合储层反演，对奈曼旗凹陷层序格架内没有井的区域进行了储层砂体的空间展布预测，并总结了地质-地球物理综合储层预测的方法与思路流程，在应用中取得了良好的预测效果。4、结合层序、沉积类型、砂岩厚度和储层物性等方面，以Petrel软件为基础平台，利用模糊数学的方法进行储层综合评价及有利区划分，将奈曼旗凹陷储层划分为五个级别(Ⅰ类、Ⅱ类、Ⅲ类、Ⅳ类和Ⅴ类)，并预测了四个有利区块，分别为：奈1区块、奈参1西-张家洼子区块、奈6区块和新发-张家洼子区块

Based on the normative fractional Fourier transform and the concept of the optical transfer function, using the linear system theory, the mathematic expressions of fractional transfer function in Fresnel diffraction system and Fraunhofer diffraction system are given respectively.

基于规范光学分数傅里叶变换，从光学传递函数概念出发，根据菲涅耳衍射、夫琅和费衍射定义，应用线性系统理论，分别给出了菲涅耳与夫琅和费衍射系统在规范分数傅里叶变换下的光学传递函数数学表达式。

Which may be called"Mathematical French Curve".

该方法模拟手工采用曲线板进行船体型线光顺修改的技巧，建立了曲线板的数学模型，并将其应用于计算机图形的交互修改之中。

In this paper,the non-linear factors,such as spring torque,friction,intake resistance and gear clearance,are considered during the derivation of ETS model.Five controllers are designed in Matlab/Simulink,using PID,fuzzy,sliding model contro...

本文在考虑弹簧扭矩、摩擦力、进气阻力、齿隙等非线性影响因素的基础上，建立ETS系统数学模型，应用PID、模糊、滑膜及其相结合的控制理论在Matlab/Simulink下设计了5种控制器，并对其阶跃响应特性进行比较分析。

In the form of mathematical logic and related branches, functional predicate or function symbol is applied to an object key and generate another object entry logic symbols.

在形式逻辑和相关的数学分支中，泛函谓词或函数符号是应用于一个对象项而生成另一个对象项的逻辑符号。

Mathematical programming is one of the areas to which fuzzy set theory has been applied extensively.

数学规划是模糊集理论应用极其广泛的一个领域。

The research of fuzzy relation plays an important role on fuzzy mathematics theory and application.

模糊关系的研究是模糊数学理论和应用的重要课题。

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。