Weighted Integral Means of Mixed Areas and Lengths Under Holomorphic Mappings

This note addresses monotonic growths and logarithmic convexities of the weighted （（1-t2）αdt2, -∞〈α〈∞, 0〈t〈1） integral means Aα,β（ f ,·） and Lα,β（ f ,·） of the mixed area （πr2）-βA（ f ,r） and the mixed length （2πr）-βL（ f ,r） （0≤β≤1 and 0〈r〈1） of f （rD） and？f （rD） under a holomorphic map f from the unit disk D into the finite complex plane C.

The Question of Short Lower Limb and Long Lower in Manual Therapy: An Overview

The purpose of this paper is to review relevant literature concerning limb length inequalities in adults and to make recommendations for assessment and intervention based on the literature and our own clinical experience. The research was carried out on PUB MED, Non-English articles and duplicates in the databases were not included. Limb length inequality and common classification criteria are defined and etiological factors are present. Common methods of detecting limb length inequality include model manual technics. This work has the purpose of describing a well standardized therapeutic in the form of practical guidance. The approach we describe provides standardized model evaluation for leg lower limb in order to be used in rehabilitation clinic.