symmetries

based on the lie algebra that describes the symmetries, it is proved in this dissertation that a sufficiently large class of control hamiltonians can be provided by the universal enveloping algebra of the lie algebra, on which the quantum mechanical control systems can be modelled.

基于描述量子力学系统对称性的李代数结构，本文证明该李代数的泛包络代数提供了足够大的一类控制哈密顿量，因而可以在其上建立量子力学控制系统的模型。

It helps that other theories, such as electromagnetism, are based on symmetries that resemble relationism.

诸如电磁学等其他理论，也奠基于与关系论相似的对称性之上。

Two hypotheses were proposed: First, the different degrees of sequence symmetries, but the similar degrees of inter-residue interaction symmetries; Second, the external interactions contribute to the symmetric structures and decrease the degrees of sequence symmetries.

我们提出两种假设：一种是虽然序列对称度不同，但是内部残基相互作用对称度相同；另一种是蛋白质外部相互作用参与了对称结构编码，降低了序列对称度。