The paper will utilize the properties and the latest work for hypercyclic operators and semigroups, and particularly for the theory of nonwandering operators, hypercyclic semigroups, and chaoticand semigroups . combining their definitions, we will form their connections 本文利用超循环算子和半群的性质和最新的研究进展,着眼于非游荡算子理论与超循环算子(及半群)、混沌算子(及半群)或者更一般的半群,结合各自定义建立之间联系。
The paper will utilize the properties and the latest work for hypercyclic operators and semigroups, and particularly for the theory of nonwandering operators, hypercyclic semigroups, and chaoticand semigroups . combining their definitions, we will form their connections 本文利用超循环算子和半群的性质和最新的研究进展,着眼于非游荡算子理论与超循环算子(及半群)、混沌算子(及半群)或者更一般的半群,结合各自定义建立之间联系。
In addition, in a certain infinite dimensional space, the paper will provide an example of nonwandering semigroup and a sufficient condition for nonwandering semigroup . according to recent results and methods, we may get the hypercyclic decomposition of nonwandering semigroup . and, we will discuss the hypercyclic decomposition from the multi-hypercyclic operator provided not long ago 本文还将在特定的无穷维空间找出具体的非游荡算子半群例子,将给出非游荡算子半群的一个充分条件,且依照已有的结果和方法获得非游荡算子半群的超循环算子半群分解。
In addition, in a certain infinite dimensional space, the paper will provide an example of nonwandering semigroup and a sufficient condition for nonwandering semigroup . according to recent results and methods, we may get the hypercyclic decomposition of nonwandering semigroup . and, we will discuss the hypercyclic decomposition from the multi-hypercyclic operator provided not long ago 本文还将在特定的无穷维空间找出具体的非游荡算子半群例子,将给出非游荡算子半群的一个充分条件,且依照已有的结果和方法获得非游荡算子半群的超循环算子半群分解。
In addition, in a certain infinite dimensional space, the paper will provide an example of nonwandering semigroup and a sufficient condition for nonwandering semigroup . according to recent results and methods, we may get the hypercyclic decomposition of nonwandering semigroup . and, we will discuss the hypercyclic decomposition from the multi-hypercyclic operator provided not long ago 本文还将在特定的无穷维空间找出具体的非游荡算子半群例子,将给出非游荡算子半群的一个充分条件,且依照已有的结果和方法获得非游荡算子半群的超循环算子半群分解。
Secondly, this part provides the theory of risk unconservation and demonstrates it strictly . thirdly, this part throws light on the risk unconservation in venture capital investment with hypercyclic theory, and provides the paradox of risk unconservation when hypercyclic is not valid . at last, this part sets up a multi-layer fuzzy decision model and discusses the risk and revenue of different people with different risk preferences 探讨了联合投资收益与风险分摊的机理;提出了联合投资的风险不守恒定理,并进行了严格的数学推导证明;运用超循环理论对联合投资风险不守恒进行了阐述,并提出了超循环无效时的风险不守恒悖论;然后建立了投资组合的多层模糊决策模型,对不同的风险喜好者的风险和收益进行了探讨。
Secondly, this part provides the theory of risk unconservation and demonstrates it strictly . thirdly, this part throws light on the risk unconservation in venture capital investment with hypercyclic theory, and provides the paradox of risk unconservation when hypercyclic is not valid . at last, this part sets up a multi-layer fuzzy decision model and discusses the risk and revenue of different people with different risk preferences 探讨了联合投资收益与风险分摊的机理;提出了联合投资的风险不守恒定理,并进行了严格的数学推导证明;运用超循环理论对联合投资风险不守恒进行了阐述,并提出了超循环无效时的风险不守恒悖论;然后建立了投资组合的多层模糊决策模型,对不同的风险喜好者的风险和收益进行了探讨。