抽象数学

Abstractness is one of the main features of mathematics, whose research contents and methods are both abstract.

抽象性是数学的主要特点之一，数学研究的内容和方法都是抽象的。

In the situation, this paper brought up the risk analysis and evaluation method on the basis of intelligent control and network communication technology for Network Communication System. The risk analysis and evaluation of Network Communication System firstly discussed the character of network communication and its risk. At the following we estimate a risk evaluation model according the distribution of the systems risk by time and space. Otherwise, we combined Fuzzy Comprehensive Evaluation with Analytic Hierarchy Process, and set up the multi-grade fuzzy comprehensive evaluation model for Network Communication System.

该方案主要通过讨论网络通信系统及其风险的特性，根据风险的时间和空间分布规律，以"风险"为整个网络通信系统安全模型的评估和分析对象，确立网络通信系统风险分布的量化评估模型，同时，就不同区域和不同时段的风险通过引入层次分析的一般方法来确定它们的权重系数，最后，通过模糊综合评判法则对系统中模糊不确定性因素进行数学化的抽象，建立一个反映其本质特征和动态过程的理想化的数学评估模型。

It is seeking a function's worth most and value region problem that the complex number and circular functions to solve problems.

中文摘要：数形结合的思想方法求解数学中的代数问题，用以"形"助"数"的方法为出发点，变抽象思维为形象思维，有助于把握数学问题的本质。

The operator differential equations in abstract spaces is animportant branch of modern mathematics.

抽象空间中的算子微分方程是现代数学的一个重要分支，它与数学的许多其它分支有着密切的联系，其理论对工程、力学、数。。。

"Logicists supposed that abstract mathematical objects can be entirely developed starting from basic ideas of sets and rational, or logical, thought; a variant of logicism, known as mathematical Platonism, views these objects as existing external to and independent of an observer"

逻辑主义认为抽象的数学对象全部可以从基本的几组想法以及合理的或逻辑的思想发展出来，称为数学的柏拉图主义的一个变型把这些对象看作是观察者之外的、独立的存在

"Logicists suppose d that abstract mathematical objects can be entirely developed starting from basic ideas of sets and rational, or logical, thought; a variant of logicism, known as mathematical Platonism, views these objects as existing external to and independent of an observer"

逻辑主义认为抽象的数学对象全部可以从基本的几组想法以及合理的或逻辑的思想发展出来，称为数学的柏拉图主义的一个变型把这些对象看作是观察者之外的、独立的存在

In mathematics, a morphism is an abstraction derived from structure-preserving mappings between two mathematical structures.

数学上，一个态射是两个数学结构之间保持结构的过程的一种抽象。

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.

此类研究表明：数学基础是经过逐渐努力后掌握的。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

此类 研究表明：数学基础是经过逐渐努力后掌握的。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。对不起，匆匆过客没法跟贴

It made the research aim,the research method and the research object invalidating.

在此前提下，财务学大量地运用数学和逻辑的方法，构建了许多精巧而抽象的数学模型进行分析。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。