近代数学

NP问题。“P等于NP吗？”是近代数学中一个重要的待解问题之一。（图片由麻省理工开放式课程提供）

An NP completeness problem . " Does P equal NP ?" is one of the most important unsolved questions in modern mathematics . ( Image courtesy of MIT OCW . )

孙子定理在近代数学中的若干应用

Some applications of the Chinese Remainder Theorem in modern mathematics

它是建立在近代数学最优化方法和计算机程序之上，解决复杂设计问题的一种有效工具，是计算机辅助设计（CAD）应用中的一个重要方面。

It is an available tool based on modern optimization method and computer program , resolving complex design problem . It is an important aspect on computer aided design ( CAD ) .

动力系统的几何理论是近代数学的一个重要分支，通过微分几何方法的应用，人们逐渐认识到状态空间的几何结构有时对动力系统产生重要影响。

The theory of dynamical systems is the important parts of mathematics .

中国近代数学研究落后的社会原因

Social Reasons of Recent China 's Backward in Mathematics Research

对中国近代数学落后原因的分析

Analysis on Reasons for Backwardness of Mathematics in Modern China

结论肯定了该学派的学术思想和在中国近代数学发展史上的作用。

Conclusion Its scientific thought and significance in modern mathematics history were affirmed .

问题解决与中国古代和近代数学的发展

Problems Resolved and Math Development in Antiquity and Modernity

近代数学教育的历史研究

Research on the Developing History of Modern Mathematics Education

工业炉的近代数学模拟方法

The late mathematical modelling method for industrial furnaces

“数学符号”贯穿于近代数学和现代数学之中，它是数学高度抽象的表现。

" Mathematical symbols " runs through modem mathematics and modem mathematics , it is highly abstract mathematical performance .

又因为对于它的研究要涉及到较多的近代数学知识，因而成为工程科学和基础科学共同关心的课题。

Because it relates to the morden mathematical knowledge , it is concerned by the engineering science and foundation science .

不动点问题是近代数学的重要分支，与许多数学学科有着紧密的联系，在解决方程的定解和近似解方面有着重要的应用。

The problems of fixed point are important branch of modern mathematical , and have close connection with many mathematics subjects .

西南联合大学数学系在中国近代数学史上占有重要地位。

The Department of Mathematics in the National South-West Associated Universityoccupies an important position in the history of modern Chinese mathematics .

模糊数学是近代数学发展的产物，模糊贴近测度是模式识别中的有力工具。

A fuzzy mathematics origin from modem mathematics , the theory of fuzzy close measure is a powerful tool of pattern identification .

群是近代数学的基本结构之一，而有限群则是整个群论的核心。

Groups are one of the fundamental structures in modern mathematics , and finite groups are the core of the whole group theory .

概率论是近代数学领域中的一门重要学科，其思想方法被广泛应用于其它数学分支。

Probability theory is an essential subject in modern mathematic field and its way of thinking is widely used in other branches of mathematics .

近代数学的一些学科，如代数结构理论与泛函分析可以在矩阵论中寻找到它们的根源。

Some subjects of modern mathematics , such as the algebraic structure theory and functional analysis , would be found in the Matrix theory .

中厚钢板生产过程的智能化信息处理就是利用人工智能工具和近代数学方法，对中厚板生产过程采集到的数据进行加工处理，从中提取出知识。

The intelligent-information disposal of plate steel process is to utilize traditional mathematics and artificial intelligence to deal with the data and get knowledge from plate steel process .

本文将区间数学这一近代数学工具引入尺寸链的分析计算，并提出了应用区间数学解尺寸链的方法，同时给出了应用举例及适应范围。

In this paper , interval mathematics , one of the modern mathematics tools , is introduced into the field of calculating and analysing dimensional chains , Examples are given .

利用近代数学中的压缩映射定理和不动点原理，提出了一种解维纳-霍夫（W&H）议程的新方法-非线性迭代算法。

Based on compressing mapping theorem and fixed-point principle in modern mathematics , a non-linear iterative method for solution to famous Wiener-Hopf ( W-H ) equation is proposed in this paper .

数学从萌芽时期开始，历经了初等数学时期、变量数学时期、近代数学时期和现代数学时期.人们已经从数学的内容、表现形式、作用等方面为研究数学的特点提供了框架。

People had already provided the frame for the research of mathematical characteristics from the aspects of the content , forms of expression , the role and the research procedure of mathematics .

向量是近代数学最基本的概念之一，它具有代数形式和几何形式的双重身份，是沟通几何、代数、三角函数等内容的桥梁。

Vector is the most basic concept of modern mathematics . It has a " double identity " of algebraic and geometric form and is a bridge among the geometry , algebra and triangle .

不动点问题与近代数学的许多分支有着紧密的联系，特别是在建立各类方程解的存在唯一性问题中起着重要的作用。

The problems of fixed point have close connection with many branches of modern mathematics . Especially , it plays an important role in the existence and uniqueness of the solution to various equations .

函数作为近代数学的重要内容，高中数学内容的核心知识点，使得函数概念的学习成为中学数学教学的重要环节。

Function is an important foundation of modern mathematics and the core knowledge of high school mathematics course , that make the learning of the concept of function become an important part of the School Mathematics Teaching .

向量是现代数学与初等数学衔接的组成部分之一，也是近代数学最基本的概念之一，向量在现代数学、工程学、物理学、等学科中有着广泛的应用而受到人们的关注。

As one important component of linking modern maths and elementary mathematics and one of the basic concepts of modern maths , vector is widely used in the subjects like modern maths , engineering , physics and it is given much attention .

风险理论是近代数学的一个重要分支，主要应用于金融、保险、证券投资以及风险管理方面，也是当今精算界和数学界研究的热门课题。

Risk theory is an important branch of modem mathematics , which is mainly applied in finance , insurance , securities investment and the risk management . Nowadays , the collective risk theory is one of the most intriguing fields both actuarial and mathematical science .

该方法综合运用车流组织、近代数学、数学逻辑及计算技术等理论及方法，采取多种措施压缩方案数，效果显著。

Theories and methods in the fields of train flow organization , modern mathematics , mathematic logic and computational technique are employed in a combined way here , along with the introduction of a number of measures , to achieve the result of screening out candidate plans .

但它在数学发展过程中也产生了一些负面影响，这也应是中国古代数学未能发展成近代数学的一个重要原因。

Plays an important part in the development of Chinese ancient economy , but has some negative influences on the development of mathematics . It is just the reflection of mathematic skills . This is also the reason that Chinese ancient mathematics isn 't developed into modern mathematics .

可以说，明清之际近代数学的东渐既是一种技术意义下的工具，也是与我国固有传统文化极不相同的一种文化。

We can say , the western science methodology was spread to China when the Ming and Qing Dynasties , it was " tool " under a kind of technological meaning , it was not a kind of the same culture extremely with China 's inherent traditional culture too .