关于RDB的几个新的线性分布模型

New linear models on RDB

通过数组覆盖设计程序探索 ,建立了关于RDB的几个新的线性模型。设RDB直尺长为len ,有n条刻度 ,实现完全度量的刻度分布用f(len ,n)来表示 ,得到以下三个线性分布模型。f(8n - 31,n) ={ 1,4 ,5 ,8,8,… ,8,3,1,2 ,1} ;f(9n - 4 1,n) ={ 1,4 ,3,4 ,9,9,… ,9,5 ,1,2 ,2 } ;f(10n - 5 5 ,n) ={ 1,1,3,4 ,10 ,10 ,… ,10 ,1,2 ,3,6 ,2 ,3}。通过这些线性模型 ,在n一定的实用范围内 (n <19)改进了文 [5 ]提出的二次模型推出的结论。

We established several new linear models on RDB.Let a ruler have n marks,and let its length be L.A set of models of marks distribution,each of which makes the ruler perfect,is denoted by f(len,n) Our main results are the following three linear models:f(8n-31,n)={1,4,5,8,8,…,8,3,1,2,1};f(9n-41,n)={1,4,3,4,9,9,…,9,5,1,2,2};f(10n-55,n)={1,1,3,4,10,10…,10,2,3,6,2,3} By the new models,in applicable range of n(n<19),we improved the author's previous results,which were derived from the quadratic models.