The densest subgraph problem (DSG) aiming at finding an induced such that the average edge-weights of is maximized, a well-studied problem. However, when input graph hypergraph, existing notion DSG fails to capture fact hyperedge partially belonging sub-hypergraph also part sub-hypergraph. To resolve issue, we suggest function $$f_e:\mathbb {Z}_{\ge 0}\rightarrow \mathbb {R}_{\ge 0}$$ represent...

Abstract Topical issues of developing theoretical and methodological tools for constructing a fuzzy logical model assessing water salinity are considered. When Sugeno estimating salinity, rational number rules effective values their membership functions were chosen. Initially, the function parameters obtained from industry experts. In future, it is necessary to adjust using neural networks obta...

In this article we give strong versions for preparation theorems $\mathbb{R}_{\textnormal{an,exp}}$-definable functions outgoing from methods of Lion and Rolin ($\mathbb{R}_{\textnormal{an,exp}}$ is the o-minimal structure generated by all restricted analytic global exponential function). By a deep model theoretic fact Van den Dries, Macintyre Marker every function piecewise given $\mathcal{L}_...

PURPOSE This « in-vitro » study had two specific aims: the first, to test using a universal testing machine whether sub-ablative Er:YAG laser irradiation prior to acid etching is effective in orthodontic bracket bonding and secondly using micro-hardness measurements and Scanning Electron Microscopy (SEM) observations to investigate the effectiveness of de-mineralization reduction in enamel trea...

Palpation, a standard procedure in the diagnostic process of muscular pain conditions – myalgia, aims to provoke a muscular pain response. The origin of pain elicited by palpation is not fully understood. There is also a possibility that the pressure elicit response from mechanoreceptors in skin, sub mucosal tissue or periosteum, which may affect the validity of the method. The aim of this stud...

Artificially structured materials with unit cells at sub-wavelength scale, known as metamaterials, have been widely used to precisely control and manipulate waves thanks to their unconventional properties which cannot be found in nature. In fact, the field of acoustic metamaterials has been much developed over the past 15 years and still keeps developing. Here, we present a topical review of me...