数学对象

数学对象是人类抽象思维的产物；

Math is a product of human abstract thought ;

理解性数学教学，就是要在数学教育中，以理解为目的，在数学对象的知识性、科学性、文化性等角色上，去理解数学，理解数学教育。

Understanding math teaching is to understand math and math education from its objects ' knowledge feature , scientific feature , cultural feature and so on .

它定义数学对象的模型以及该模型的各种编码，现在最重要的一个模型是XML编码的。

It defines a model of mathematical objects and various encodings of that model , the most important one now being XML encoding .

由于RNA二级结构经常被抽象为离散的数学对象，从而使得离散数学和分子生物学密切联系在一起。

RNA secondary structures are usually abstracted to discrete mathematic objects , which establishes a connection between Discrete Mathematics and Computational Molecular Biology .

CPN（有色Petri网）是严格定义的数学对象，可以模拟和检验用UML描述的系统对象的行为属性。

A colored Petri net is a well-defined mathematics object , and it can simulate and validate the behavioral characteristics of the system object described by UML .

存在许多在程序中表示数学对象的方法，而MartinJohansen的Dcas系统则证明了这些方法可以如何的千差万别。

There are many ways of representing the objects of mathematics in programs , and Martin Johansen 's Dcas system demonstrates just how different these methods can be .

提出贯穿高等代数理论的三条主线。它们是：从具体的数学对象向抽象的代数系统的转变；

This article advances three main leads of higher algebra theory .

关于描述计算机科学数学对象的形式系统的无矛盾性问题

On the Consistency of the Formal System Describing Mathematical Objects of Computer Science

许多数学对象，例如数集和函数集合，表现出内部结构。

Many mathematical objects , such as sets of numbers and functions , exhibit internal structure .

有一些类型的数学对象的问题，这是一个同构起完整的问题。

There are a number of classes of mathematical objects for which the problem of isomorphism is a GI-complete problem .

其突出特性是强类型的数学对象层次结构和对对象进行分组和控制的常用编程数据结构。

It features a strongly typed hierarchy of mathematical objects and commonly used programming data structures for grouping and controlling the objects .

关于数学对象，哈代持极端的实在论观点，它有利于理解数学主观的客观实在性；

Hardy holds a realism opinion on mathematical object , which is in favor of understanding the " subjective " objectivity of mathematics .

不是数字，不是向量，也不是矩阵，它们是不同的数学对象。

And they are not numbers , they are not vectors , they are not matrices , they are a different kind of object .

不过，西算新法跟以往中西两家之法都不一样，数学对象主要是一般关系。

However , the new western mathematics different from traditional Chinese mathematics and the former western mathematics , the main object of mathematics was general relationship .

概括针对数学对象的本质属性和共同特征，具有两重性、过程性、层次性的特点。

Generalization is aimed at the essential attribute and common character of mathematics object , generalization has such character as duality , process , and gradation .

为了提高学生的学习效率及学习效果，从多个侧面学习数学对象，即用数学多元表征的学习理念学习数学，具有优越性。

To enhance the study efficiency and effectiveness , studying mathematics through multiple aspects , which is also studying mathematics by the learning idea of mathematical multi-representations , has the priority .

众所周知，一个数学对象可以用数学符号、图象、图表、陈述性的语言、甚至现实原型等进行描述，这就涉及数学多元表征的问题。

As is known to all , a mathematical object can be described with mathematical symbol , image , chart , stating language , even actual model , which involving the Multi-representations of mathematics .

彭加勒对逻辑主义预期理由的批判，对数学对象存在性的辩护和对实无穷假设的反对，都为数学哲学中直觉主义学派的发展开辟了道路。

Poincare 's criticism onthe expected reason , justification for the existence of mathematical object and opposition to the postulate of real infinite provide the developmental approach for the intuitionism in philosophy of mathematics .

各种数学对象，即数学中的概念、定义、证明、算法、法则和理论，相互之间有着一定的联系，而且与外部世界也有着一定的联系。

Each mathematical objects , namely mathematics concepts , the definitions , the proofs , the algorithm , the laws and the theories , have certain relation , moreover also have certain contacting with the outside world .

如果学生在概念学习时，受到经验的消极影响，就会造成主体对数学对象的感知障碍，以至于影响对事物各种属性的概括，当然也影响到数学概念的形成。

If the students get inactive influence during the conception learning , they will have a sensitivity hindrance , so as to influence the generalization of the different properties of the matter , as well as the form of the mathematics conception .

而我国的新课程改革理念也为我们深入研究提供了教育平台，倡导将集合作为一种语言来学习，培养学生能够利用集合语言叙述数学对象，描述关系等。

In China , the concept of the new curriculum reform provides education platform for us to study thoroughly . And the concept advocate that we should study the set as a language and make the students express the mathematical object , describe relations using the mathematical set language .

数学学习对象的探讨

A Discussion on the Object of Mathematical Study

作为思想事物的纯的数学研究对象是内在于人的较高层次的认识客体；

As target of purely mathematical studies of ideological things is the knowledge object of higher stratification in man ;

从高等数学教学对象、教学内容出发，就教学中若干问题提出了一些观点。

From the teaching object and contents of higher mathematics , this article gives some opinions on several problems in teaching higher mathematics .

讨论了树型数学数式对象和DOM之间的转换问题，提出了一个数型数式通用的相互转换的方法，即基于函数转换表的转化方法，说明了这种方法的通用性和灵活性。

This paper discuss of conversion between expression tree and DOM ( Document Object Model ), and present a conversion method by function conversion table .

论文将模糊数学与面向对象建模技术（OMT）相结合，提出了针对问题领域中模糊信息的模糊对象图建模方式。

In the paper , fuzzy object graphic is proposed by applying fuzzy mathematics to object modeling technique ( OMT ) .

构建形状从几何原语，从而创造数学描述的对象。

Construct shapes from geometric primitives , thereby creating mathematical descriptions of objects .

模糊控制可对复杂及难于建立数学模型的对象或过程实施有效的控制。

Fuzzy control can succeed in complex plant or process , which is hard to get mathematical model .

像这样一种我们不能得到其精确数学模型的对象，采用模糊控制方法就可以针对性的解决。

Like this we can not get a precise mathematical model of the object , the fuzzy control method has specific solutions .

本文设计了一系列基于三容水箱液位控制实验装置的控制实验，包括数学分析建立对象数学模型和测试法获取对象特性。

This dissertation designs a series of control experiments based on the three-tankwater control device , including modeling through mathematical analysis and testing .