EVM为醇中烷基的键连接矩阵特征根之和，PEI为烷基的极化效应指数。
Where EVM is the sum of eigenvalue of bonding orbital-connection matrix of the alkyl group and PEI is the polarizibility of alkyl.
它使用了对称矩阵特征根的包含原理和分隔定理，并利用了正矩阵特征根的性质。
By using the contain theory and partition theorem of symmetric matrix, three conjectures about YANG Hui matrix are cetified.
本文在复数域上证明了哈密尔顿-凯莱定理，并给出方阵A的特征多项式的全部矩阵根。
The paper proved the Hamilton-Cayley theorem in complex number space, and indicated the all matrix root of the sign multinomial of matrix A.
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