| dbo:abstract |
Wenjun Wu's method is an algorithm for solving multivariate polynomial equations introduced in the late 1970s by the Chinese mathematician Wen-Tsun Wu. This method is based on the mathematical concept of characteristic set introduced in the late 1940s by J.F. Ritt. It is fully independent of the Gröbner basis method, introduced by Bruno Buchberger (1965), even if Gröbner bases may be used to compute characteristic sets. Wu's method is powerful for mechanical theorem proving in elementary geometry, and provides a complete decision process for certain classes of problem. It has been used in research in his laboratory (KLMM, Key Laboratory of Mathematics Mechanization in Chinese Academy of Science) and around the world. The main trends of research on Wu's method concern systems of polynomial equations of positive dimension and differential algebra where Ritt's results have been made effective. Wu's method has been applied in various scientific fields, like biology, computer vision, robot kinematics and especially automatic proofs in geometry. (en) 吴消元法，又称吴特征列方法，是吴文俊院士创立的将多元多项式方程组简化然后求解的机械化算法。吴消元法可用，是的基础。 (zh) |
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https://books.google.com/books%3Fhl=en&lr=&id=t2NhDQAAQBAJ&oi=fnd&pg=PA195&dq=%22Basic+principles+of+mechanical+theorem+proving+in+elementary+geometries%22&ots=NeF064QVWS&sig=cawvjpjJbb27yP6TEYXSxTUijBs%23v=onepage&q=%22Basic%20principles%20of%20mechanical%20theorem%20proving%20in%20elementary%20geometries%22&f=false http://library.wolfram.com/infocenter/MathSource/5716/ http://www.mmrc.iss.ac.cn/~dwang/wsolve.htm http://www.mmrc.iss.ac.cn/~lzhi/Research/wuritt.html https://archive.org/details/introductiontoma00heck_374%7Curl-access=limited%7Cyear=2003%7Cpublisher=Springer%7Clocation=New https://archive.org/details/introductiontoma00heck_374/page/n120 https://www.sciencedirect.com/science/article/pii/S0747717199902705/pdf%3Fmd5=03139e222077ba0a746a9062ea0860d5&pid=1-s2.0-S0747717199902705-main.pdf&_valck=1 |
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吴消元法，又称吴特征列方法，是吴文俊院士创立的将多元多项式方程组简化然后求解的机械化算法。吴消元法可用，是的基础。 (zh) Wenjun Wu's method is an algorithm for solving multivariate polynomial equations introduced in the late 1970s by the Chinese mathematician Wen-Tsun Wu. This method is based on the mathematical concept of characteristic set introduced in the late 1940s by J.F. Ritt. It is fully independent of the Gröbner basis method, introduced by Bruno Buchberger (1965), even if Gröbner bases may be used to compute characteristic sets. (en) |
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Wu's method of characteristic set (en) 吴消元法 (zh) |
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