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1·Axiomatic system of autonomic learning is the foundation of the theory and application of autonomic learning.

自主学习公理体系研究是自主学习理论及应用研究的基础。

2·It has been proved that the nature of independence exists in the axiomatic system of Group, Euclidean space, distance space and topological space.

本文证明了：群、欧几里得空间、距离空间和拓扑空间的公理系统的独立性。

3·The paper presents a final solution for the independence of the axiomatic system of the vector space, and so is of some basic significance in theory.

本文最后解决了向量空间公理系统独立性的问题，这在理论上有一定意义。

4·And I prove the formal axiomatic system of prepositional logic that is made up of axiomatic Mode and the Rule of Detachment does not possess syntactic perfectibility.

证明：由公理模式和分离规则构成的命题逻辑公理系统不具有语法完全性。

5·Axiomatic design theory provides an instructional frame for the design of multi-part integration assemblage composed of multi-robots and automatic weld system.

公理设计理论为由多机器人组成的多零部件集成装配与自动焊接系统的设计提供了一种指导性的框架。

6·This article refers to a design method of compatible automatic manufacture system, which is a method of orientation object and virtual sculpture based on axiomatic design theory.

本文提出了一种针对兼容式自动制造系统进行设计的方法，即基于公理化设计理论的面向对象的虚拟造型的方法。