This paper expresses the structure of artificial neural network (ANN) as a functional form, using the activation integral concept derived from the activation function. In this way, the structure of ANN can be represented by a simple function, and it is possible to find the mathematical solutions of ANN. Thus, it can be recognized that the current ANN can be placed in a more reasonable framework. Perhaps all questions about ANN will be eliminated.

翻译：本文利用从激活函数导出的激活积分概念，将人工神经网络（ANN）的结构表达为函数形式。通过这种方式，ANN的结构可以用一个简单的函数来表示，并且有可能找到ANN的数学解。因此，可以认识到当前的人工神经网络能够被置于更合理的框架中。或许关于ANN的所有疑问都将得以消除。