Results 61 to 70 of about 110,284 (194)
Mannheim curves and their partner curves in Minkowski 3-space E13
Demonstratio Mathematica, 2022 The modified orthogonal frame is an important tool to study analytic space curves whose curvatures have discrete zero points. In this article, by using the modified orthogonal frame, Mannheim curves and their partner curves are investigated in Minkowski ...
Elsharkawy Ayman, Elshenhab Ahmed M.
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On the Timelike Circular Surface and Singularities in Minkowski 3-Space
Axioms, 2023 In this paper, we have parameterized a timelike (Tlike) circular surface (CIsurface) and have obtained its geometric properties, including striction curves, singularities, Gaussian and mean curvatures.
Areej A. Almoneef, Rashad A. Abdel-Baky
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Solving for Blameless and Optimal Control Under Prioritized Safety Constraints
Optimal Control Applications and Methods, EarlyView.Summary of the proposed method for solving for blameless and optimal control sequences. ABSTRACT In many safety‐critical optimal control problems, users may request multiple safety constraints that are jointly infeasible due to external factors such as subsystem failures, unexpected disturbances, or fuel limitations.
Natalia Pavlasek +3 more
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DUAL TIMELIKE NORMAL AND DUAL TIMELIKE SPHERICAL CURVES IN DUAL MINKOWSKI SPACE
Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2009 : In this paper, we give characterizations of dual timelike normal and dual timelike spherical curves in the dual Minkowski 3-space and we show that every dual timelike normal curve is also a dual timelike spherical curve.
Mehmet ÖNDER
doaj
Transversal Intersection Curves of Two Surfaces in Minkowski 3-Space
Selecciones Matemáticas, 2018 In this paper, we study the differential geometry of the transversal intersection curve of two surfaces in Minkowski 3-space, where each pair satisfies the following types spacelike-lightlike, timelike-lightlike and lightlike-lightlike.
Osmar Alêssio +5 more
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On space-like constant slope surfaces and Bertrand curves in Minkowski 3-space
, 2014 In the present paper, we define the notions of Lorentzian Sabban frames and de Sitter evolutes of the unit speed space-like curves on de Sitter 2-space $\mathbb{S}^{2}_{1}$.
Babaarslan +23 more
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Null scrolls with prescribed curvatures in Lorentz-Minkowski 3-space
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020 In Lorentz-Minkowski 3-space, null scrolls are ruled surfaces with a null base curve and null rulings. Their mean, as well as their Gaussian curvature, depends only on a parameter of a base curve. In the present paper, we obtain the first-order nonlinear
Šipuš Željka Milin +2 more
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Validation of machine learning based scenario generators
Journal of Risk and Insurance, EarlyView.Abstract Machine learning (ML) methods are becoming increasingly important for designing economic scenario generators for internal models. Validating data‐driven models requires different methods than validating classical, theory‐based models. We discuss two novel aspects of such validation: first, checking the multivariate distribution of risk factors,
Gero Junike, Solveig Flaig, Ralf Werner
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Slant null scrolls in Minkowski 3-space E_1^3
Kuwait Journal of Science, 2016 In this study, we introduce a new type of null scrolls called slant null scrolls in Minkowski 3-space E_1^3. We define three types of slant null scrolls called alpha-slant, beta-slant and gamma-slant null scrolls and give characterizations for a null ...
Mehmet Önder, Onur Kaya
doaj
Geometric analysis of non-degenerate shifted-knots Bézier surfaces in Minkowski space.
PLoS ONEIn this paper, we investigate the properties of timelike and spacelike shifted-knots Bézier surfaces in Minkowski space-[Formula: see text]. These surfaces are commonly used in mathematical models for surface formation in computer science for computer ...
Sadia Bashir, Daud Ahmad
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