With the knowledge representation, acquirement, inference and building an expert system with different field expert knowledge based on big-neuron method presented in this paper, the fundamental theory of neural network expert system based on big-neuron theoryhas thus been built.

本文基于大神经元原理建立了神经网络专家系统的基本理论和框架，同时提出知识表示、获取、推理以及建立由不同领域专家知识组成的专家系统的大神经元方法。

Then we redefine natural number by giving out proper axiom system with principle of the least element and principle of the greatest elementin the set.

利用公理化方法,通过定义非空集上的二元关系"π",使该集合构成全序集,然后在该集合中给出以含有最小元素原理或最大元素原理的适当公理体系来重新刻画自然数的定义,最后证明这些定义与自然数的皮亚诺公理定义彼此是等价的。