The description is given for the faithful normal conditional expectation from a hyperfinite factor onto the diagonal of nest algebra of the hyperfinite factor. 给出了超有限因子到其中的套代数的对角上的忠实正常的条件期望的一个刻画,证明了超有限因子中的套代数的中心恰好是纯量构成的。
A basic knowledge of factor analysis is required and a working knowledge of linear algebra is helpful. 因子分析的基本知识是必要的,对线性代数的工作经验是有益的。
It is obtained that the commutative completely idempotent algebra which has unit element and no zero factor is a extension field on F. The structure of two dimension completely idempotent algebra is given out. 本文首先得出哉F上有单位元无零因子交换完全幂等代数A是F的扩域的结论,给出域F上二维完全幂等代数的结构;
Based on the random factor method ( RFM), the computational expressions for the mean value and mean variance of the structural displacement response and stress responses are developed by the algebra method. 基于随机因子法,利用代数综合法推导出结构位移和应力响应的均值、方差的计算表达式。
First, we proved that every linear maps that preserving anti-zero product and unit from one nest subalgebra of factor von Neumann algebra to another is an anti-isomorphism. 证明了因子vonNeumann代数中两个套子代数之间双边保反零积且保单位元的线性满射是反同构。
Studied the influence of the time factor and the space factor to the traditional relational algebra and the operations after space and temporal expanding, and put forward and carried out data operation methods. 研究了进行空间和时态扩展后时间要素和空间要素对传统关系代数、关系运算的影响,提出并实现了相应的数据操作方法;