This paper introduces the concept of orbit-homogeneity of permutation groups: a group G is orbitt-homogeneous if two sets of cardinality t lie in the same orbit of G whenever their intersections with each G-orbit have the same cardinality. For transitive groups, this coincides with the usual notion of t-homogeneity. This concept is also compatible with the idea of partition transitivity introdu...

We studied large Amish/Mennonite/Hutterite kindreds that segregate cystic fibrosis (CF) for linkage between CF and the polymorphic DNA markers pJ3.11 and 7C22 located on chromosome 7. These inbred pedigrees consist of more than 300 members including 30 affected individuals. In these families, linkage between the CF locus and the chromosome 21 marker D21S5 and between CF and the marker at the me...

In this paper, homogeneous regions formed by using multiscale intuitionistic fuzzy set is compared with homogeneous regions formed by multiscale representation of an image. The later approach does not consider the equivocal nature of the real world objects and is not accurate enough to measure the homogeneity in a real world scenario. By applying the theories of scale-space along with intuition...

We review observational tests for the homogeneity of the Universe on large scales. Redshift and peculiar velocity surveys, radio sources, the X-Ray Background, the Lyman-α forest and the Cosmic Microwave Background are used to set constraints on inhomogeneous models and in particular on fractal-like models. Assuming the Cosmological Principle and the FRW metric, we estimate cosmological paramet...

Fabric defect detection algorithm based on local neighborhood is proposed to improve the accuracy and real-time of Fabric defect detection. A local neighborhood window moves over the entire inspection image. For homogeneity measurethe coefficient of variation is used. A defect-free region will generate a smaller value of Variation Coefficient than that of a defective region. To extract and segm...

We propose a new vector index for the statistical assessment of antihypertensive treatment duration and homogeneity from ambulatory blood pressure monitoring. We termed this approach for evaluating and comparing blood pressure coverage offered by antihypertensive drugs over 24 h as the reduction-duration-homogeneity index. The reduction-duration-homogeneity index is a three-component vector ind...

b a c k g r o u n d & aim: multi-state models can help better understand the process of chronic diseases such as cancers.  these models  are influenced  by assumptions  like individual  homogeneity.  this study aimed to investigate the effect of lack of individual homogeneity  assumption  in multi-state models. methods & materials: to investigate the effect of lack of individual homogeneity ass...