We prove that the Banach-Mazur distance between arbitrary two central sections of co-dimension c of any centrally symmetric convex body in E is at most (2c+ 1). MSC 2000: 52A21, 46B20

We discuss the entropy of nonequilibrium steady states. We analyze the so-called spontaneous production of entropy in certain reversible deterministic nonequilibrium system, and its link with the collapse of such systems towards an attractor that is of lower dimension than the dimension of phase space. This means that in the steady state limit, the Gibbs entropy diverges to negative infinity. W...

 In this paper, a new homological dimension of modules, copresented dimension, is defined. We study some basic properties of this homological dimension. Some ring extensions are considered, too. For instance, we prove that if $Sgeq R$ is a finite normalizing extension and $S_R$ is a projective module, then for each right $S$-module $M_S$, the copresented dimension of $M_S$ does not exceed the c...

We consider completely invariant subsets A of weakly expanding piecewise monotonic transformations T on [0, 1]. It is shown that the upper box dimension of A is bounded by the minimum tA of all parameters t for which a t-conformal measure with support A exists. In particular, this implies equality of box dimension and Hausdorff dimension of A.

Currently, K-pop girl groups are some of the favorite celebrities who often become ideal standard for young girls. figures displayed with body standards, such as having a slim body, white skin, thin face, and high nose, thus making fans adore want to have physical appearance like their idol. This study aimed examine relationship between celebrity worship image among female adolescents idolized ...

Background: Research indicates that body dissatisfaction is correlated with and often predictive of both physical and mental health problems. “Fat talk,” a well-studied form of body image talk in adolescents and university-aged women, has been implicated as contributing to body dissatisfaction and mediating the relationship between body dissatisfaction and other mental health problems. Limited ...

BACKGROUND Research indicates that body dissatisfaction is correlated with and often predictive of both physical and mental health problems. "Fat talk," a well-studied form of body image talk in adolescents and university-aged women, has been implicated as contributing to body dissatisfaction and mediating the relationship between body dissatisfaction and other mental health problems. Limited r...

We consider the problem of the motion of N bodies in a self-gravitating system in two spacetime dimensions. We point out that this system can be mapped onto the quantum-mechanical problem of an N-body generalization of the problem of the H + 2 molecular ion in one dimension. The canonical gravitational N-body formalism can be extended to include electromagnetic charges. We derive a general algo...