It is shown that a connected non-compact metrizable manifold of dimension ≥2 strongly discrete homogeneous if and only it has one end (in the sense Freudenthal compactification). In fact, we obtain an isotopic version this result, which answers question Piergallini [9].

Introduction: Total body irradiation (TBI) is a form of external beam radiotherapy which is used in conjunction with chemotherapy with the purpose of immunosuppression. Since the target in TBI is the whole body so a uniform dose distribution throughout the entire body during TBI is necessary. As recommended by AAPM dose variation must be within ±10% of prescription dose. A revi...

For square contingency tables with ordered categories, the present paper considers two kinds of weak marginal homogeneity and gives measures to represent the degree of departure from weak marginal homogeneity. The proposed measures lie between –1 to 1. When the marginal cumulative logistic model or the extended marginal homogeneity model holds, the proposed measures represent the degree of depa...

We investigate homogeneity in the special Colombeau algebra on Rd as well as on the pierced space Rd \ {0}. It is shown that strongly scaling invariant functions on Rd are simply the constants. On the pierced space, strongly homogeneous functions of degree α admit tempered representatives, whereas on the whole space, such functions are polynomials with generalized coefficients. We also introduc...