查询词典 mathematical analysis

Composite function is one of the important objects of mathematical analysis research,and some of it's analysis natures such as monotony, boundedness, limit,continuity, derivability,integrability are important content in the mathematical analysis,they are also important tool to study other objects in mathematics.

复合函数是数学分析研究的重要对象之一，它的一些分析性质（如单调性，有界性，极限，连续性，可导，可积性）是数学分析中的重要内容，也是研究数学中其它对象的重要工具。

The job of later period, basically have the following these: Analysis and observation---Effect of analysis of user search behavior, keyword is evaluated, observation of search engine expression, change rate analysis and evaluate, search engine has the action inside frank analysis, station analysis, UE analysis and revise, competitor analysis and monitor,, if be a side a few large and medium-sized the website is done optimize.

后期的工作，主要有以下这些：分析与观察---用户搜索行为分析、关键词效果评估、搜索引擎表现观测、转化率分析及评估、搜索引擎占有率分析、站内行为分析、UE分析及修改、竞争对手分析及监测、资源站群推进、对话SE 实际上，如果是帮一些大中型网站做优化。

In this thesis, with the aid of the method of reconstructive direction cosine matrices of the analysis and synthesis of spatial mechanism, the more overall and systematic theoretical research is done about trident-bar universal joint and drawn some useful conclusions about kinematics analysis, dynamics analysis, kinematical precision analysis, vibration analysis, simulation and experimental results analysis, mechanism type selection analysis based method of fuzzy distinguishable pattern, integrated designing prototype system.

本文以改造的方向余弦矩阵为数学工具，以三叉式万向节为研究对象。进行了机构有关的解析求解、仿真和试验结果分析，基于模式识别技术的机构选型及机构的集成设计原型系统，得出了以下结论：(1)采用改造的方向余弦方法适用于空间机构的运动求解及动力求解。它的特点是解析明了，以矩阵方式体现，适合计算机求解。并以万向节为实例进行了万向节的详细的运动分析，建立了求解的各个变换矩阵，得出了机构的详细的运动关系。

ANSYS has friendly operating environment, strong functions and perfected post-processing. ANSYS can be applied to a lot of project fields and it can carry out structure analysis, nonlinear analysis, thermal analysis, electromagnetic field analysis, electric field analysis, fluid flow analysis and coupled field analysis etc.A combination beam is designed and on this beam simulation test using ANSYS and strength test using electrometric method are studied and contrasted. The result of the test shows that the ANSYS is reliable and can be applied to the engineering design and calculation without accident.

ANSYS软件是融结构、流体、电场、磁场、声场设计计算于一体的大型CAE软件，经过30多年的发展，取得了辉煌的成绩，并形成很多独有功能；ANSYS使用环境友好，功能强大，后处理技术完善；ANSYS在各类工程领域均有应用，可进行结构分析、非线性分析、热分析、电磁场分析、电场分析、流体流动分析、耦合场分析等；设计制造了一个组合梁，分别对其进行了ANSYS静力学强度数值模拟和电测法应力试验，对结果进行了对比分析，试验结果表明：ANSYS功能强大，分析数据安全可靠，可放心用于工程设计与计算。

Taking Changling County, Zhenlai County and Da'an City of Jilin Province as researchareas, based on remote sensing data, graphics operation and spatial analysis are carried out indifferent points of views, including temporal, spatial, scale and landscapeetc; all aspects analysis of this dissertation are abstractively expressed by digital graphics andseries of curves which are not stick to one pattern to discussing multi-dimension andcomplicated attributes of the salinized process. Linking up temporal-spatial characteristicswith landscape indices while combining mathematics model and Geo-informatic TUPUmodel, this dissertation puts forward the fundamental frame: temporal-spatial evolvementpattern, spatial extension process analysis and landscape characteristics analysis of salinizedland. Temporal-spatial evolvement pattern analysis extracts the essential quantity features andtransformation modes of salinized land, and also analyzes patches spatial geometricalparameters scale feature; spatial extending process analysis discusses the change rate andecological modes; landscape feature analysis utilizes landscape graphics indices to describesalinized land microcosmic graphics features and changes.

信息图谱模型为土地盐碱化研究提供了一种谱系化、定量化与定位化相结合的研究方法，本文选取吉林省西部盐碱化典型区域长岭县、镇赉县、大安市作为研究区，以遥感影像为基础数据，在GIS技术支持下，从时空变化、尺度效应、景观特征等多个角度对盐碱化土地进行图形运算、空间分析，通过不拘一格的数字化图形、曲线系列抽象表达出不同维度上的特征与规律，探讨土地盐碱化过程的多维性与复杂性，将盐碱化土地时空特征与景观特征衔接、数学模型与图谱模型结合，以盐碱化土地时空演变基本模式、空间扩展过程和景观特征分析为框架构建盐碱化土地信息图谱模型研究体系，发挥图谱模型数据挖掘、知识发现的特长，将宏观动态变化与微观特征相联系，进一步挖掘土地盐碱化过程与人类活动影响的关系，为探索研究区盐碱化土地成因、过程，预测其未来发展变化趋势及其对环境影响提供相关科学依据。

In the light of the complex, high-level and non-linear feature of the mathematical model which describe the transport of the coalbed methane, this paper study the fully-implicit solving method of the mathematical model in detail. Based on the complexity of the algebraic equations which are formed eventually, according to the alternating direction implicit difference pattern, this paper use the iterative method and the fully main element Gauss-Jordan eliminating method to solve equations, which is to use the iterative method to determine coefficient matrix and use the fully main element Gauss-Jordan method to solve th linear algebraic equation group, at the same time of studying the solving method of the mathematical model, according to the devising requirement of FORTRAN77 program structure, this paper draw up computer program and form the corresponding computer model, and verify the validity and reliability of the model in theory by operating the model.

重点研究了模型内、外边界及有关参数的处理，针对描述煤层甲烷运移的数学模型是一个复杂、高阶非线性数学模型的特点，详细研究了模型的全隐式求解方法，根据最后形成的代数方程组的复杂性，按交替方向隐式差分格式，采用迭代与全选主元高斯约当消去法相结合的方法求解方程：即确定系数矩阵采用迭代法，求解线性方程组时采用全选主元高斯约当消去法，在研究模型解法的同时按FORTRAN结构化程序设计的要求，编制计算机程序，形成相应的CBMRS计算机模型，并通过模型的运行从理论上证明了模型的正确性与可靠性。

Mathematics: Understands and applies basic and advanced properties of the concepts of geometry; Use the Pythagorean theorem and its converse and properties of special right triangles to solve mathematical and real-world problems; Understands the basic concepts of right triangle trigonometry (e.g., basic trigonometric ratios such as sine, cosine, and tangent); Uses trigonometric ratio methods to solve mathematical and real-world problems (e.g., determination of the angle of depression between two markers on a contour map with different elevations); Uses properties of and relationships among figures to solve mathematical and real-world problems e.g., uses the property that the sum of the angles in a quadrilateral is equal to 360 degrees to square up the frame for a building; uses understanding of arc, chord, tangents, and properties of circles to determine the radius given a circular edge of a circle without the center

数学：理解和应用几何概念的初级和高级特性；用毕德哥拉斯定理、逆定理以及特殊直角三角形性质解决数学的和现实世界的问题；理解基本的直角三角形三角比；运用三角比方法解决数学的或现实的问题。（等高线图上的两个标记之间的俯角确定）运用形体之间的关系及其属性解决数学的或现实的问题（利用四边形内角和等于360度来为建筑物框架取正，运用弧，弦，切线和圆的性质确定缺少中心的一段圆弧的圆心

IGMs are a kind of experimentally new-identified optical mode, standing with apparent potential in design and application. However, the mathematical expression of IGMs under Elliptic Cylindrical coordinates, preventing us from understanding IGMs instinctively, stands a formidable challenge in application. The pure mathematical expressions of IGMs are composed by a great deal of calculation, which also bids us no help in common use. I am, therefore, prompted to build an easier mathematical approach in this study.

Ince- Gaussian modes为在实验中可见的一种崭新型态的光学模态，对於我们在应用和设计上的实现，拥有许多潜力；然而，由於IGMs是在椭圆圆柱座标系下的数学来表示，造成了我们无法直觉的去了解，也成了我们在使用上的一大考验； IGMs的不易亲近，也让我们无从进一步去了解其物理特性，若纯粹以数学出发，又包含了庞大的运算，无法达到普遍的运用，是故我希望能在这篇论文使用简单的数学描述来达成对IGMs较平易近人的理解。

According to the problems that are encountered in designing the mathematical knowledge representation language in NKI (national knowledge infrastructure) and after the discussion of ontological assumptions for mathematical objects, two kinds of formalisms for the representation of mathematical knowledge are provided. One is a description logic in which the range of an attribute can be a formula in some logical language; and another is a first order logic in which an ontology represented by the description logic is a part of the logical language.

根据在设计NKI(national knowledge infrastructure)的数学知识表示语言中遇到的问题，并在讨论了数学对象的本体论假设的基础上提出了两种数学知识的表示方法：一种是以一个逻辑语言上的公式为属性值域的描述逻辑；另一种是以描述逻辑描述的本体为逻辑语言的一部分的一阶逻辑。

The basic spirit of Pythagoreanism is the pursuit of the mathematical harmoniousness of the universe, and it can guide scientists to characterize the internal mystery of the physical world in terms of mathematical language and mathematical formula successfully and it fit to the current computationalism.

毕达哥拉斯主义的基本精神，正是追求宇宙的数学和谐性的思想，它能成功地引导科学家使用数学语言、公式来刻画物理世界的内在奥秘，这是与当今流行的"计算主义"相互呼应的。

I'm not an actor. I'm a professor of paleontology.

我不是演员，我是古生物学教授

Spider Network Web site that is a very image of the name.

网络蜘蛛即Web Spider，是一个非常形象的名字。