Regularity of algebraic equation of generalized complex number(平面泛复数中代数方程根的规律)
利用素理想和环的零因子技巧,讨论泛复系数代数方程根的规律,得到了抛物复系数代数方程f(x)=(an+bnk)xn+(an-1+bn-1k)xn-1+…+(a1+b1k)x+(a0+b0k)=0(这里虚单位k满足k2=0)的准确解;而对于双曲复系数代数方程f(x)=(an+bnj)xn+(an-1+bn-1j)xn-1+…+(a1+b1j)x+(a0+b0j)=0(这里虚单位j满足j2-1=0),我们将方程转换成方程组,给出了方程的具体解法,并估计了在双曲复数域H中的根的个数....
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| Format: | Article |
| Language: | zho |
| Published: |
Zhejiang University Press
2002-09-01
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| Series: | Zhejiang Daxue xuebao. Lixue ban |
| Subjects: | |
| Online Access: | https://doi.org/zjup/1008-9497.2002.29.5.481-484 |