【摘要】：在本畢業(yè)論文我們用代數(shù)的Gr(?)bner-Shirshov基理論中的主要工具合成運(yùn)算來(lái)給出括號(hào)代數(shù)中的九個(gè)新的多項(xiàng)式恒等式.我們使用的方法是,對(duì)其中的5個(gè)恒等式,通過(guò)直接計(jì)算合成得到,對(duì)其他4個(gè)關(guān)系,先通過(guò)計(jì)算幾個(gè)合成得到簡(jiǎn)單的公式,然后假設(shè)一般公式,最后用歸納法加以證明.
[Abstract]:In this thesis, we give nine new polynomial identities in parentheses by using the main tools of the Gr (?) bner-Shirshov basis theory of algebra. The method we use is that the five identities are obtained by direct calculation and synthesis. For the other four relations, a few simple formulas are obtained by calculating a few combinations, then a general formula is assumed, and finally proved by inductive method.
【學(xué)位授予單位】：新疆大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2017
【分類號(hào)】：O15

【參考文獻(xiàn)】

相關(guān)期刊論文 前1條

1 吳文俊;A MECHANIZATION METHOD OF GEOMETRY AND ITS APPLICATIONS——Ⅰ. DISTANCES, AREAS, AND VOLUMES IN EUCLIDEAN AND NON-EUCLIDEAN GEOMETRIES[J];Science Bulletin;1987年07期

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本文編號(hào)：2272326