We investigate the class of helical hypersurfaces parametrized by x=x(u,v,w), characterized by a light-like axis in Minkowski spacetime L4. We determine the matrices that represent the fundamental forms, Gauss map, and shape operator of x.
Erhan Güler
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On The Mean, Gauss, The Second Gaussian and The Second Mean Curvature of The Helicoidal Surfaces with Light-Like Axis in $\mathbb{R}^{3}$ [PDF]
In this paper, the second Gaussian and the second mean curvature of the helicoidal surfaces with light-like axis of type $IV^{+}$ is obtained in Minkowski 3-space. In addition, some relations between the mean, Gauss, the second Gaussian and the second mean curvature of the helicoidal surfaces with light-like axis of type $IV^{+}$ are given in Minkowski
Güler, Erhan, Vanli, Aysel Turght
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SURFACES OF REVOLUTION WITH LIGHT-LIKE AXIS
In this paper, we investigate the surfaces of revolution with light-like axis satisfying some equation in terms of a position vector field and the Laplacian with respect to the non-degenerate third fundamental form in Minkowski 3-space. As a result, we give some special example of the surfaces of revolution with light-like axis.
Dae Won Yoon, Chul Woo Lee
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Photoperiod-driven gene regulation in the brain of Chirostoma estor: endocrine, metabolic, and epigenetic insights [PDF]
IntroductionAquatic light environments are increasingly altered by human activity, yet the endocrine and molecular mechanisms enabling fish to cope with extreme photoperiods remain poorly understood.
Mitzi Ernestina Juárez-Gutiérrez +4 more
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Blue Light Deprivation Produces Depression-Like Responses in Mongolian Gerbils
BackgroundDepression is a leading cause of disability worldwide and is a major contributor to the overall global burden of disease, but its etiology is poorly understood.
Hong Hu +13 more
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The hypothalamic-pituitary-adrenal (HPA) axis is a key adaptive neuroendocrine system, dysfunction of which plays an important role in the increasing incidence of stress-dependent age-related pathology.
Nadezhda Goncharova +2 more
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AXIS: a Lab-in-the-Loop machine learning approach for automated detection of macromolecular crystals [PDF]
Macromolecular crystallography provides mechanistic understanding of biological processes and can be applied in drug design. Nowadays, the use of robotic systems for crystal growth and diffraction analysis is widespread and high-throughput protein-to ...
Aurelien Personnaz +9 more
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Molecular Mechanisms of Zhizhu Kuanzhong Capsule in the Treatment of Co-Morbid Anxiety and Depression of Functional Dyspepsia: Network Pharmacology, Molecular Docking and In Vivo Validation [PDF]
Objective: ZhiZhu Kuanzhong (ZZKZ) capsule, a Chinese herbal extract, is extensively employed for the clinical management of functional dyspepsia (FD) in China.
Jing He +6 more
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Light has long been known to have a profound influence on the growth and development of fish. The previous studies showed that different spectra had different effects on the growth of juvenile Takifugu rubripes.
Songtao Liu +15 more
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Controlling the propagation asymmetry of hyperbolic shear polaritons in beta-gallium oxide
Structural anisotropy in crystals is crucial for controlling light propagation, particularly in the infrared spectral regime where optical frequencies overlap with crystalline lattice resonances, enabling light-matter coupled quasiparticles called phonon
Joseph Matson +18 more
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