通过引入计数测度，将数学分析中的无穷级数和测度论中的抽象积分联系起来，并在此基础上对双重连加号中，连加号的次序可以颠倒这个性质给出了一个证明。
Infinite series in mathematical analysis is connected with Abstract integral in the measure theory through counting measure, and a new proof to an important property of infinite series is obtained.
本文基于“F”与“V”类积分方程序的基本形式，抽象出积分方程序“核”的基本定义。
This article discusses the basic form of "f" and "V" type integral equations, abstracts the basic definition of integral equation "nucleus".
在第二章中，引入了积分抽象时滞方程的概念，并且得到积分抽象时滞方程的适定性与相应的积分柯西问题适定性等价。
In the second chapter, the concept of an integrated abstract delay equation is introduced, and the equivalence of the well - posedness of an integrated delay eq.
目前APOS理论在国外比较盛行，已经在函数概念、抽象代数、离散数学、微积分等多方面领域得到广泛应用。
APOS theory relatively prevails abroad at present and it has already been widely used in many aspects, such as function concept, abstract algebra, dispersed mathematics, calculus.
分析了诸多积分概念的共性，抽象出黎曼积分的定义，给出了黎曼可积的条件。
This paper sums up the common character of the concept of many integrals, abstracts the concept of Riemann integral and gives the integral conditions of the Riemann integral.
用积分算子求解法 ，得到了具有反射边界条件的、含控制参数的抽象动力方程边值问题的解。
The conclusion derived from the comparison between the two methods is useful to the integral operator solution.
用积分算子求解法 ，得到了具有反射边界条件的、含控制参数的抽象动力方程边值问题的解。
The conclusion derived from the comparison between the two methods is useful to the integral operator solution.
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