In this paper, a new class of generalized distance functions with respect to pair mappings is introduced. Next, some inequalities involving such are established. Our obtained results generalize and cover recent from the literature. Moreover, for self-crossing polygons obtained.

aging has negative effects on motor and cognitive functions, so it is essential to identify appropriate strategies to prevent the decrease of motor and cognitive functions. the aim of this research was to investigate the effect of vitamin e supplement on motor activity and spatial learning in aged rats. 36 male albino – wistar aged rats were assigned to three groups of control, vitamin e and sh...

this paper deals with the basic notions of k-tautimmersions . these notions come from two special cases; that is, tight and taut immersions. tight and taut based on high and distance functions respectively and their basic notions are normal bundle, endpoint map, focal point, critical normal. we generalize hight and distance functions to cylindrical function and define basic notions of k-taut im...

quantifying spatial structure is one of the most important components, describing natural ecosystems and their biodiversity. in this study, a set of indices and functions related to spatial structure using 102 established plots with an area of 1000 m2 were presented. to achieve spatial structure of carpinus-fagus type, a set of indices (clark & evans, uniform angle, shannon-wiener, mingling and...

in this research, the spatial distribution of electrical conductivity and ph of springs, ghanats and the base flow concentration places on the streams of central and south-west and central parts of the hamedan-bahar plain were evaluated. using different geostatistical methods such as kriging, minimum curvature, inverse distance, natural neighbor, local polynomial and radial basis functions, 108...