THE PARALLEL NUMERICAL-METHOD OF MECHANICAL THEOREM-PROVING

被引:19
|
作者
ZHANG, JZ [1 ]
YANG, L [1 ]
DENG, M [1 ]
机构
[1] UNIV SCI & TECHNOL CHINA, DEPT MATH, HEFEI, PEOPLES R CHINA
关键词
D O I
10.1016/0304-3975(90)90077-U
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
In this paper, we present results of the work which allow us to prove geometry theorems by the parallel numerical method based on the multi-instance numerical verification of algebraic identity. The algebraic principle of the parallel numerical method is discussed and illustrated intuitively; the advantages of our method are given. It is acceptable on the complexity of both memory and time. It can be used to prove non-trivial geometric theorems by microcomputer, even by hand. We give some examples proved by parallel numerical method, including certain new unexpected results. © 1990.
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页码:253 / 271
页数:19
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