The goal of this article is to give a Lefschetz type decomposition for the cd-index of a complete fan. To a complete simplicial fan one can associate a toric variety X, the even Betti numbers hi of X and the numbers gi = hi − hi−1. If the fan is projective, then non-negativity of gi follows from the Lefschetz decomposition of the cohomology. In the case of a nonsimplicial complete fan, one can ...

This paper presents a mathematical model of the sensitive element refractometric fiber-optic sensor principle operation which is based on phenomenon surface plasmon resonance. The sensing design sequential connection multimode fiber (MMF), single-mode (SMF), and forming an MMF-SMF-MMF structure. SMF site coated with thin film gold. To element, approach used in calculating classical Kretschmann ...

The goal of this article is to give a Lefschetz type decomposition for the cd-index of a complete fan. To a complete simplicial fan one can associate a toric variety X, the even Betti numbers hi of X and the numbers gi = hi − hi−1. If the fan is projective, then non-negativity of gi follows from the Lefschetz decomposition of the cohomology. In the case of a nonsiplicial complete fan one can an...

Tissue engineering is a promising research field, which aims to create new functional muscle tissue in vitro, by utilizing the myogenic differentiation potential of human stem cells. The objective of the present study was to determine the effect of static magnetic fields (SMF), combined with the use of the myogenic differentiation enhancing hepatocyte growth factor (HGF), on human satellite cel...

A compact and highly sensitive interferometric bending sensor (inclinometer) capable of distinguishing the bending or inclination orientation is demonstrated. The device operates in reflection mode and consists of a short segment of photonic crystal fiber (PCF) inserted in conventional single-mode optical fiber (SMF). A microscopic collapsed zone in the PCF-SMF junction allows the excitation an...

Negative curvature hollow-core fibers (NC-HCFs) can boost the excellent performance of HCFs in terms propagation loss, nonlinearity, and latency, while retaining large core delicate cladding structures, which makes them distinctly different from conventional fibers. Construction low-loss all-fiber NC-HCF architecture with single-mode (SMFs) is important for various applications. Here we demonst...

The study investigated wastewater treatment in an aerobic reactor with activated sludge exposed to static magnetic field (SMF) with mean induction of 8.1 mT. The efficiency of chemical oxygen demand removal was about 90% in a control reactor and an SMF-exposed reactor. Although the nitrification efficiency was higher than 95% in both reactors, the activity of ammonia-oxidizing bacteria was high...

Spreading evidence suggests that geomagnetic field (GMF) modulates artificial magnetic fields biological effect and associated with increased cardiovascular morbidity. To explore the underlying physiological mechanism we studied 350 mT static magnetic field (SMF) effect on arterial baroreflex-mediated skin microcirculatory response in conjunction with actual geomagnetic activity, reflected by K...