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- Hamiltonian dynamics is active joint field of modern mathematics and physics. 授课内容：非线性偏微分方程是现代数学体系中的重要内容。
- Discrete mathematics is part of modern mathematics and a branch of studying the structure and interrelation of discrete objects. 离散数学属于现代数学的范畴，是研究离散量的结构及相互关系的学科。
- As a new and important branch of ring theory, generalized polynomial identities(GPIs) play a key role in the development of modern mathematics. 环上的广义多项式恒等式理论是环论中的一个新兴而又重要的分支， 在近代代数学中占有重要地位。
- Group theory is one of the great simplifying and unifying ideas in modern mathematics, and it has important applications in many scientific fields. 我们知道群论是数学的一个重要分支，它在很多学科都有重要的应用，例如在物理中的应用，群论是量子力学的基础。
- Discrete subgroups of Lie groups are foundational objects in modern mathematics and occur naturally in different subjects. 李群的离散群在现代数学中是非常基础的概念，广泛地应用于不同的学科。
- Full attention must be paid to theoretical research in the natural sciences, including such basic subjects as modern mathematics, high energy physics and molecular biology. 要充分重视自然科学理论包括现代数学、高能物理、分子生物学等理论的研究。
- Collection is an important branch of modern mathematics, and is also the theoretical basis of modern mathematics, it is mainly created by the German mathematician Cantor. 集合是现代数学的重要分支之一，也是现代数学的理论基础，它主要由德国数学家康托创立的。
- Ordinary Dirichlet series, of which the Riemann zeta function is the most important, play a prominent role in classical analysis and number theory, and in modern mathematics. 为了解决在物理问题中面临偏微分控制方程式之求解，各式计算方法于焉产生。本文引用王永明研究群提出之微分再生核节点法，进行梁、板结构力学行为之应用研究。
- Young, J.W.A."The Theory of Numbers." Ch. 7 in Monographs on Topics of Modern Mathematics Relevant to the Elementary Field (Ed.J.W.A.Young).New York: Dover, pp. 306-349, 1955. 然后，如果做一些研究，如多媒体方向、如网络方向，都是有很强的基础的。
- Thirdly, during Wasan development, Algebra and infinitesimal algorithm are the most prominent achievements, some of which has approached the level of western modern mathematics. 第三部分，代数学与无穷小算法是和算发展中最为显著的数学成就，部分内容已达到西方近代数学的水平。
- the precursor of modern mathematics 现代数学的先驱
- Modern paintings are not to my taste. 现代画不合我的口味。
- Linear Algebra and Modern Mathematics 线性代数与近代数学
- Computer Technique and Modern Mathematics Education 计算机技术和现代数学教育
- The book has been styled in a modern format. 该书已按照现代版式制作。
- The book concludes with modern mathematics, covering recent developments such as the advent of the computer, chaos theory, topology, mathematical physics, and the solution of Fermat's Last Theorem. 书以现代数学来结束， 包括新近的发展，例如计算机，混乱理论，拓扑，数学物理学和费马的最后定理的解决办法的来临。
- Modern medicine has increased man's life span. 现代医学延长了人的寿命。
- How do you react to this modern artist's paintings? 你对这位现代艺术家的画有何评价？
- He came up last year to read Modern History. 去年他进了大学研读近代史。
- I have to confess to a hatred of modern literature. 我得承认我不喜欢现代文学作品。
