Results 11 to 20 of about 217,455 (268)
Universe, 2023 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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Measurement and Analysis of High Frequency Assert Volatility Based on Functional Data Analysis
Mathematics, 2022 Information and communication technology have enabled the collection of high-frequency financial asset time series data. However, the high spatial and temporal resolution nature of these data makes it challenging to compare financial asset ...
Zhenjie Liang +5 more
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Scalar Curvature and Q-Curvature of Random Metrics [PDF]
The Journal of Geometric Analysis, 2010 We study Gauss curvature for random Riemannian metrics on a compact surface, lying in a fixed conformal class; our questions are motivated by comparison geometry. Next, analogous questions are considered for the scalar curvature in dimension $n>2$, and for the $Q$-curvature of random Riemannian metrics.
Canzani, Yaiza +2 more
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The Bourguignon Laplacian and Harmonic Symmetric Bilinear Forms
Mathematics, 2020 In this paper, we study the kernel and spectral properties of the Bourguignon Laplacian on a closed Riemannian manifold, which acts on the space of symmetric bilinear forms (considered as one-forms with values in the cotangent bundle of this manifold ...
Vladimir Rovenski +2 more
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Exploring Benefits of Using Blending Splines as Transition Curves
Applied Sciences, 2020 Track geometry is a fundamental subject in railway construction. With the demand for increased capacity in terms of load and speed, the need for suitable transitions between consecutive track sections is highly relevant.
Tanita Fossli Brustad, Rune Dalmo
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IEEE Access, 2022 Aiming at the problems in the best basis selection, this paper presents a novel criterion based on the statistical measurement of the curvature wavelet coefficient to dynamically select the single best basis of the quad-tree wavelet packet transformation.
Regina Lionnie +3 more
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Curvature-Based Machine Vision Method for Measuring the Dimension of Ball Screws
IEEE Access, 2023 As a linear actuator, accurate dimension measurement is crucial to the transmission reliability and interchangeability of ball screws. However, most of the current approaches are ineligible for rapid ball screw in-situ inspections due to the installation
Yijia Chen +5 more
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International Journal of Modern Physics D, 2002 The issues of quintessence and cosmic acceleration can be discussed in the framework of higher order theories of gravity. We can define effective pressure and energy density directly connected to the Ricci scalar of curvature of a generic fourth order theory and then ask for the conditions to get an accelerated expansion.
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Earth's curvature and visibility between two points [PDF]
Vojnotehnički Glasnik, 2012 In this study, the Earth's curvature is analyzed from numerous aspects as well as the visibility between two points on the Earth's surface. It also describes the way and the size of the Earth's part which can be approximated in the plane depending on the
Mirko A. Borisov, Radoje D. Banković
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Curvature Potential Unveiled Topological Defect Attractors
Crystals, 2021 We consider the theoretical and positional assembling of topological defects (TDs) in effectively two-dimensional nematic liquid crystal films. We use a phenomenological Helfrich–Landau–de Gennes-type mesoscopic model in which geometric shapes and ...
Luka Mesarec +5 more
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