Abstract. By rigorously accounting for dimensional homogeneity in physical laws, the ? theorem and related self-similarity hypotheses allow us to achieve a dimensionless reformulation of scientific lower-dimensional context. This paper presents applications these concepts partitioning water soil on terrestrial landscapes. For such processes, their complexity lack first principle formulation mak...

Abstract This paper discusses the origin of small parameters with aim explaining Hierarchy problem. The flexible extra dimensions are an essential tool in process by which physical formed. evolution a multidimensional metric starts at Planck scale and is completed static extra-dimensional 4-dim de Sitter space high energies, where exponential production causally disconnected universes begins. Q...

Abstract We introduce a family of dimensions, which we call the $$\Phi $$ Φ -intermediate that lie between Hausdorff and box dimensions generalise intermediate introduced by Falconer, Fraser Kempton. This is done restricting relative sizes covering sets in way allows for greater refinement than definition dim...

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The study  attempts to answer two basic  questions. Firstly, whether  religiosity  is  efficient  in  reducing  delinquent   behavior   and , secondly, if the answer is yes , how much is its effect? The samples was divided into common people and delinquent youth in prison. The scholars like Durkheim, Weber, Stark, Glock and those assertions regarding delinquency as Merton, Hirschi learning the...