We give an efficient algorithm to randomly generate finitely generated subgroups of a given size, in a finite rank free group. Here, the size of a subgroup is the number of vertices of its representation by a reduced graph such as can be obtained by the method of Stallings foldings. Our algorithm randomly generates a subgroup of a given size n, according to the uniform distribution over size n ...

background and objective: improved and modified automation will require the development of smart process control systems that provide on-line decisions to release patients’ test results based on high analytical quality assurance formula. materials and methods: we collected patients’ test results from 10840 healthy subjects based on 1.96z as truncation limit for 29 common haematochemical analyte...

abstract profile monitoring in statistical quality control has attracted attention of many researchers recently. a profile is a function between response variables and one or more independent variables. there have been only a limited number of researches on monitoring multivariate profiles. indeed, monitoring correlated multivariate profiles is a new subject in the fileld of statistical process...