| 方程与曲线论〔17〕——等分方程定理(A_3型) |
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| 引用本文： | 米家鑫. 方程与曲线论〔17〕——等分方程定理(A_3型)[J]. 贵州师范大学学报(自然科学版), 2002, 0(1) |
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| 作者姓名： | 米家鑫 |
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| 作者单位： | 贵州安龙县第一中学 贵州安龙552400 |
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| 摘 要： | 对任意正整数n ,运用 (A3 型 )等分方程定理的通项公式 ,就可产生复系数的一元n次代数方程的一般式 ,每个一般式又可根据坐标平面上的任意一点产生具体给定方程式 ,再通过每个给定方程的配套求根公式 ,就可准确而简便地求出n个复根。由于n的无限性 ,因此 ,由定理所产生的方程、求根式等也是无穷无尽的
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| 关 键 词： | 等分方程定理 方程通项公式 方程求根公式 一般方程式 给定方程式 |
Equation and curves——theorem of halved-equation(Type A_3) |
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| MI Jia-xin. Equation and curves——theorem of halved-equation(Type A_3)[J]. Journal of Guizhou Normal University(Natural Sciences), 2002, 0(1) |
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| Authors: | MI Jia-xin |
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| Abstract: | When a formula for general term of halved-equation (Type A 3)is applied to an arbitrary positive integer n,a general equation of unary nth algebraic expression,with complex coefficients,can be obtained.Each general equation produces a concrete given equation,according to any point in an coordinate plane.Then n complex roots can be got accurately and easily through its necessary root extracting formula.Equation and extraction of root resulting from the theorem are indefinite,because of the indefinitness of n. |
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| Keywords: | halved equation theorem formula for general term of equation extracting root formula of equation general equation given expression |
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