DETERMINATION OF ADOLESCENT FOOD HABITS ON THE BASIS OF AGE, HEIGHT AND WEIGHT

Significant differences between nutritional and fast food habits were observed at the 13-15 years and 16-18 years age groups of boys and girls respectively. The girls in the age group and boys had non-significant difference. Body weight showed non-significant difference for fast food and nutritional diet for boys and girls. Body weight of boys increased by 8.90% over normal body weight of 13-15 years. Lower body weight was observed in 16-18 boys adolescent and 13-15 years and 16-18 years girls where body weight was lower than normal body weight. Fast food did not affect in the enhancement of body weight. Nutritional food had significant role in boy weight increase in both age groups.

The role of the Rogers–Shephard inequality in the characterization of the difference body

The Rogers–Shephard and Brunn–Minkowski inequalities provide upper and lower bounds for the volume of the difference body in terms of the volume of the body itself. In this work it is shown that the difference body operator is the only continuous and

How do difference bodies in complex vector spaces look like? A geometrical approach

We investigate geometrical properties and inequalities satisfied by the complex difference body, in the sense of studying which of the classical ones for the difference body have an analog in the complex framework. Among others we give an equivalent expression for the support function of the complex difference body and prove that, unlike the classical case, the dimension of the complex difference body depends on the position of the body with respect to the complex structure of the vector space. We use spherical harmonics to characterize the bodies for which the complex difference body is a ball, we prove that it is a polytope if and only if the two bodies involved in the construction are polytopes and provide several inequalities for classical magnitudes of the complex difference body, as volume, quermassintegrals and diameter, in terms of the corresponding ones for the involved bodies.

CHORD POWER INTEGRALS OF SIMPLICES

In this paper, we obtain a formula relating the chord power integrals of a simplex K and the dual quermassintegrals of its difference body DK. As interesting applications, we express the volumes of difference body DK and polar projection body Π*K in terms of the volume of simplex K. Santaló-type inequality for chord power integrals of simplex is also established.