汉译英,在数学分析,复变函数和实变函数等课程中,收敛和极限是常见的两个概念.这两个概念又可以细分为不同意义下的极限和收敛,并且附带着诸如连续性等性质的改变.收敛与极限理论贯穿整个数学分析、实变函数和复变函数之中,是数学中的重要内容和难点.认识收敛和极限的思想是把握和理解它们之间理论的前提.极限是分析数学中最基本和最重要的概念,特别是数学分析中,其思想贯穿整个数学分析的始终,并且,在数学的其他领域中也有着重要作用.极限定义的基础是点与点之间距离.由于在不同空间中距离(或相当于距离)给出的方式和含义上的差别而
2019-04-03
汉译英,
在数学分析,复变函数和实变函数等课程中,收敛和极限是常见的两个概念.这两个概念又可以细分为不同意义下的极限和收敛,并且附带着诸如连续性等性质的改变.收敛与极限理论贯穿整个数学分析、实变函数和复变函数之中,是数学中的重要内容和难点.认识收敛和极限的思想是把握和理解它们之间理论的前提.极限是分析数学中最基本和最重要的概念,特别是数学分析中,其思想贯穿整个数学分析的始终,并且,在数学的其他领域中也有着重要作用.极限定义的基础是点与点之间距离.由于在不同空间中距离(或相当于距离)给出的方式和含义上的差别而导致出不同的收敛.
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n the mathematical analysis,complex-variable function and realvariable funktion courses,convergence and limit the two concepts is common.These two concepts and can be divided into different limit and convergence,and with such properties such as the continuity of the change.Convergence and limit theory throughout the mathematical analysis,realvariable funktion and complex-variable function,which is the important content and the difficulties in mathematics.Knowledge of the thoughts and convergence and understanding between them is the premise of theory.Limit is the most basic mathematical analysis and the most important concept,especially the mathematical analysis,its thought throughout the mathematical analysis,and other fields of mathematics,in also plays an important role.The foundation is the ultimate definition and distance between the point.Due to the different space distance (or equivalent) distance and the difference in meaning and leads to a different convergence.
n the mathematical analysis,complex-variable function and realvariable funktion courses,convergence and limit the two concepts is common.These two concepts and can be divided into different limit and convergence,and with such properties such as the continuity of the change.Convergence and limit theory throughout the mathematical analysis,realvariable funktion and complex-variable function,which is the important content and the difficulties in mathematics.Knowledge of the thoughts and convergence and understanding between them is the premise of theory.Limit is the most basic mathematical analysis and the most important concept,especially the mathematical analysis,its thought throughout the mathematical analysis,and other fields of mathematics,in also plays an important role.The foundation is the ultimate definition and distance between the point.Due to the different space distance (or equivalent) distance and the difference in meaning and leads to a different convergence.