We showed that in noncommutative case, orthonormal base vectors can be chosen to be unitary operators of any fix order.
我们证明了,在非交换条件下,能够选择标准正交基向量成为任何固定序的酉算子。Commutativity up to a factor is one of the invariants of isomorphisms among operator algebras.
算子的因子交换性是算子代数之间同构的不变量之一。In this algorithm the unfitness function is chosen as a merit at the beginning of iteration and a new crossover operator is designed.
该算法在迭代初始阶段引入了不适应度函数作为评价标准,结合启发式交叉和边重组交叉设计了一种新的交叉算子。This paper gives two equivalent conditions of similar and quasi-similar operators on the sequence space and the relation between them.
在给出序列空间上相似算子与近相似算子的等价条件后,探讨两者之间的关系,并得到新结论。A special evolution operator and an objective function were used to satisfy the air traffic control timely request in the algorithm.
算法采用特殊的进化算子和目标函数,以便能够满足空中交通管制实时性的要求。The means of dynamic genetic operators and population control were used to make the evolution escape from localization trap quickly.
采用动态遗传算子设计和群体规模控制方法,使进化更快速跳出局部最优。The results show that this function has the characteristics of powerful single apex, high sensitive and strong anti-noise ability.
仿真实验证明,该算子具有单峰性强、灵敏度高和抗噪能力好等特点。Based an unstructured quadratic separator, a less conservative condition for the existence of a reliable tracking control is derived.
基于无结构二次型分离算子,可获得保守性更低的可靠跟踪控制器的存在条件。Part II: To prove three sufficent conditions with which operator weighted shifts(inverse operator is as weight) is strongly irreducible.
第二部分:证明算子权移位(可逆算子作为权)是强不可约的三个条件。