Results 141 to 150 of about 3,864,161 (223)
Fast Methods for Spherical Linear Interpolation in Minkowski Space
, 2015 Spherical linear interpolation in Minkowski space has got a number of important applications in computer graphics, physics and kinematics. Spherical linear interpolation in Minkowski space involves the computation of trigonometric functions, which are ...
Ghadami, Raheleh +2 more
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Cubic helices in Minkowski space
, 2006 We discuss space-like and light-like polynomial cubic curves in Minkowski (or pseudo-Euclidean) space R 2;1 with the property that the Minkowski-length of the first derivative vector (or hodograph) is the square of a polynomial.
Kosinka, Jiri +4 more
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Ruled W-surfaces in Minkowski 3-space $\Re _{1}^{3}$
, 2008 summary:In this paper, we study a spacelike (timelike) ruled W-surface in Minkowski 3-space which satisfies nontrivial relation between elements of the set $\lbrace K,\ K_{II},\ H,\ H_{II}\rbrace $, where $(K, H)$ and $(K_{II}, H_{II})$ are the Gaussian ...
Abd-Ellah, H. N., Abdel-Baky, R. A.
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Generalized Helicoidal Surfaces in Minkowski 5-space
, 2021 In this paper, we study generalized helicoidal surfaces in Minkowski 5-space. We obtain the necessary and sufficient conditions for generalized helicoidal surfaces in Minkowski 5-space to be minimal, flat or of zero normal curvature tensor, which are ...
Sakaki, Makoto, Uçum, Ali
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New Kind Frenet Curves in Minkowski Space
, 2021 In this study, we define new vector fields along a Frenet curve with nonvanishing curvatures in 4-dimensional Minkowski space R^4_1 . By using these vector fields we obtain some new planes and curves.
Akgün, Müslüm Aykut
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Geometry of Minkowski Space-Time
, 2011 This book provides an original introduction to the geometry of Minkowski space-time. A hundred years after the space-time formulation of special relativity by Hermann Minkowski, it is shown that the kinematical consequences of special relativity are ...
Vincenzo Catoni +9 more
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Orthogonality in Generalized Minkowski Spaces
, 2016 We combine functional analytic and geometric viewpoints on approximate Birkhoff and isosceles orthogonality in generalized Minkowski spaces which are finite-dimensional vector spaces equipped with a gauge. This is the first approach to orthogonality types in such spaces.
openaire +3 more sources
Ordering Events in Minkowski Space
, 2005 Let p1,..., pk be k points (events) in (n+1)-dimensional Minkowski space R1,n. Using the theory of hyperplane arrangments and chromatic polynomials, we obtain information on the number of different orders in which the events can occur in different ...
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Minkowski space-time and hyperbolic geometry
It has become generally recognized that hyperbolic (i.e. Lobachevskian) space can be represented upon one sheet of a two-sheeted cylindrical hyperboloid in Minkowski space-time.
Barrett, John
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