我始终没有真正地领会代数学在几何学上的应用。
I have never got so far as to understand properly the application of algebra to geometry.
极限思想在现代数学乃至物理等学科中有广泛的应用，这是由它本身固有的思维功能所决定的。
The Limit cognition has an extensive application in modern mathematics, as well as physics etc, which is determined by its inherent function of reasoning.
由于集值算子在现代数学的广泛应用，本文还研讨了关于集值算子方程解的存在性；
Due to the wide applications of setvalued operators in modern mathematics, the solvability of the setvalued operator equations are studied.
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).
电磁测量技术从诞生到如今的迅猛发展，无不与数学的应用和进步密切相关。特别是现代数学对于现代电磁测量技术的作用更不容忽视。
Electromagnetic measuring technology, from its appearance to today's rapid development, is nearly related with the advancement and application of mathematics, especially modern mathematics.
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.
数学公式的演变对现代数学教学具有极其重要的指导意义，对如何更好地开展素质教育提供了学术上可应用的实例和实施的指导方向。
The evolution of the maths formulas has the directive significance to the modern maths teaching, it offers applicable academic cases and directions on how to develop the quality education properly.
代数型是数学中重要的基本概念，代数不变量是代数学的重要研究对象之一，也是数学与其它领域研究与应用的一个重要工具。
The conventional studies of algebraic invariants and geometrical properties are that these invariants are derived for planar objects using points, lines from one single image.
代数型是数学中重要的基本概念，代数不变量是代数学的重要研究对象之一，也是数学与其它领域研究与应用的一个重要工具。
The conventional studies of algebraic invariants and geometrical properties are that these invariants are derived for planar objects using points, lines from one single image.
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