抽象数学

After the circuit is abstracted as a directed graph, circuits matching problem is solved by subgraph isomorphism algorithm.

将电路抽象成有向图的数学模型后，采用了子图同构算法实现电路匹配。

The initial-boundary value problem of dispersive equation is a kind of mathematical model, in this paper, it has been followed the ways of other scholars and used a new method and got a new difference scheme. It was a three layers ten-point implicit difference schemes.

色散方程的初边值问题是在孤立波这样的物理现象中抽象出来的一类数学模型，在前人构造的众多差分格式的基础上，使用新的构造方法，给出了该问题的三层十，点隐式差分格式。

They have also suggested that the very concept of abstract numbers - the idea of a oneness, a twoness, a threeness that applies to any class of objects and is a prerequisite for doing

他们还表示抽象的数字概念，如可表示任何一类物品并且是在做比摆桌子有更高数学要求的任何事时都必备的一、二、三意识，远远不是天生就具备的。

These mathematical subjects are abstract, not easy to grasp for uninitiated persons.

这些数学对象是抽象的，不易掌握的外行人士。

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。

The acquirability of the data is the condition for applying it. With a mathematic index system of business analysis based on multi-criteria evaluation,the modle of designing business analysis GIS data base is drawn out involving multi-criteria evaluation,establishing indexes,standardizing and diffusing index value. The paper finds the feasibility of applying the business analysis GIS data base in to Xuzhou City.

基于GIS多准则评价法对商业分析活动进行数学抽象，建立基础数据指标体系，对指标值标准化、指标值空间扩散方法以及商业分析的算法流程进行研究，形成了构建商业分析GIS基础数据平台的模式，以徐州市商业分析GIS基础数据平台的构建为例，实证该模式的可行性。

A firstness, a twfirstss, a Number 3ness these applies to any class of objects orsetting a tcapable - is itself far since innate.

她们还表达抽象的数字概念，如可表达任何一类物品并且是在做比摆桌子有更高数学要求的任何事时都必需的一、二、三意识，远远否则天生就具备的。

Process error included using general knowledge and prototype and image replaced mathematics concept, irrationality of classification and comparison, faultiness of generalize and abstract, separation of definition and concept, irrelevancy of applying and relating, and mistake of extending and connecting.

包括用日常生活概念、概念原型、&形象描述&等代替数学概念，分类与比较不合理，概括与抽象不完善，概念定义与概念相脱离，概念运用僵化，建立不恰当的联系，对联系作不正确的推广或依据个人经验强行进行不正确的联系等错误。(2)&合理性&错误。

They have also suggested that the very concept of abstract numbers - the idea of a oneness, a twoness, a threeness that applies to any class of objects and is a prerequisite for doing anything more mathematically demanding than setting a table - is itself far from innate.

他们还表示抽象的数字概念，如可表示任何一类物品并且是在做比摆桌子有更高数学要求的任何事时都必备的一，二，三意识，远远不是天生就具备的。

They have also suggested that the very concept of abstract numbers - the idea of a oneness, a twoness, a threeness that applies to any class of objects and is a prerequisite for doing anything more mathematically demanding than setting a table - is itself far from innate.

他们还表示抽象的数字概念，如可表示任何一类物品并且是在做比摆桌子有更高数学要求的任何事时都必备的一，二，三意识，远更多精品在大家！

What are your goals and strategies for growth?

你的成长目标和策略是什么？

And unto the angel of the church in Sardis write; These things saith he that hath the seven irits of God, and the seven star I know thy works, that thou hast a name that thou livest, and art dead.

3：1 你要写信给撒狄教会的使者，说，那有神的七灵和七星的，说，我知道你的行为，按名你是活的，其实是死的。