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arXiv math/0001174math.GM
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用置换序列、标尺和罗盘求复系数多项式的根

Roots of any Polynomial with Complex Integer Coefficients using Replacement Sequences, Ruler and Compass

Ashok Kumar Mittal, Ashok Kumar Gupta

摘要:

任何具有复整数系数的m次多项式的根都可以通过操作由不同符号组成的序列并对序列中的不同符号进行计数来计算。这种方法只需要像序列替换和符号计数这样的基本操作。无需使用乘法、除法、除法等高级运算进行计算。该方法可以实现为仅使用标尺和罗盘的尺规作图法。

英文摘要:

The roots of any polynomial of degree m with complex integer coefficients can be computed by manipulation of sequences made from distinct symbols and counting the different symbols in the sequences. This method requires only primitive operations like replacement of sequences and counting of symbols. No calculations using advanced operations like multiplication, division, logarithms etc. are needed. The method can be implemented as a geometric construction using only a ruler and a compass.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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