共轭根（conjugate roots）是一对特殊根，指多项式或代数方程的一类成对出现的根，如共轭复根、共轭无理根等。在抽象代数中，一个域上的n次不可约多项式在其分裂域中的n个根，称为互相共轭的根。
辫群是一种非交换的无限群，该群中有许多困难问题是不可解的，如字问题、共轭问题和根问题等，利用这些困难问题可以去设计一些密码协议。
The braid group is infinite non-commutative group, and it has many hard problems that can be utilized to design cryptographic primitives, such as the word problem, conjugacy problem and root problem.
特勒根定理2是电路理论中的重要定理。本文用矩阵方法分析其共轭性，最后给出特勒根定理完整的矩阵表述。
Tellegen's theorem 2 is important in circuit theory. This paper analyzes its conjugation with matrix method and represents the complete matrix formulation of Tellegen's theorem.
辫群是一种非交换的无限群，该群中有许多困难问题是不可解的，如字问题、共轭问题和根问题等，利用这些困难问题可以去设计一些密码协议。
The braid groups have many hard problems that can be utilized to design cryptographic primitives, for example, the word problem, conjugacy problem, and root problem.
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