Can an A.I. win a medal in the mathematical olympiad? – Benchmarking mechanized mathematics on pre-university problems1

2018 ◽  
Vol 31 (3) ◽  
pp. 251-266
Author(s):  
Takuya Matsuzaki ◽  
Hidenao Iwane ◽  
Munehiro Kobayashi ◽  
Yiyang Zhan ◽  
Ryoya Fukasaku ◽  
...  
Keyword(s):  
Mechanized Mathematics

Evaluation Opportunities in Mechanized Theories

10.29007/7kx8 ◽  
2018 ◽  
Author(s):  
Joe Hurd
Keyword(s):  
Mathematical Theory ◽  
Theorem Prover ◽  
Mechanized Mathematics ◽  
Reasoning Tasks

This invited talk will look at logic solvers through the application lens of constructing and processing a theory library of mechanized mathematics. In fact, constructing and processing theories are two distinct applications, and each will be considered in turn. Construction is carried out by formalizing a mathematical theory using an interactive theorem prover, and logic solvers can remove much of the drudgery by automating common reasoning tasks. At the theory library level, logic solvers can provide assistance with theory engineering tasks such as compressing theories, managing dependencies, and constructing new theories from reusable theory components.

Application of mechanized mathematics to rotor dynamics

2002 ◽  
Vol 23 (9) ◽  
pp. 1045-1053
Author(s):  
Hu Chao ◽  
Wang Yan ◽  
Wang Li-guo ◽  
Huang Wen-hu
Keyword(s):  
Rotor Dynamics ◽  
Mechanized Mathematics

Application of Mechanized Mathematics in Rotor Dynamics

2001 ◽  
Author(s):  
Liguo Wang ◽  
Wenhu Huang ◽  
Chao Hu
Keyword(s):  
Rotor Dynamics ◽  
Algebraic Equations ◽  
Characteristic Set ◽  
The West ◽  
Elimination Method ◽  
Symbolic Calculation ◽  
Mechanized Mathematics ◽  
Nonlinear Algebraic Equations ◽  
Wu Method ◽  
Bearing System

Abstract The mechanized mathematics-Wu elimination method is a vigorous method in solving nonlinear algebraic equations in China, but it is still not so popular in the West. In this paper the mechanized mathematics-Wu elimination method is introduced in brief and is used to solve the problem of dynamic behavior of a rotor-bearing system with nonlinear supports. The whirl equations of a short bearing-rotor system with two disks considering gyro-moment are studied. The idea of the characteristic set of Wu method is combined with Maple’s symbolic calculation. The whirl parameter of a rotor mounted on two supports are analyzed. The analytical results showing the relations of the bearing parameters and instability speed are presented.

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