Results 141 to 150 of about 42,383 (261)
Right Conoids Demonstrating a Time-like Axis within Minkowski Four-Dimensional Space
MathematicsIn the four-dimensional Minkowski space, hypersurfaces classified as right conoids with a time-like axis are introduced and studied. The computation of matrices associated with the fundamental form, the Gauss map, and the shape operator specific to these
Yanlin Li, Erhan Güler
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Ternary Gas Mixture Quantification Using Field Asymmetric Ion Mobility Spectrometry (FAIMS)
Sensors, 2019 Gas mixture quantification is essential for the recording and reproducing odors, because an odor consists of multiple chemical compounds. Gas mixture quantification using field asymmetric ion mobility spectrometry (FAIMS) was studied.
Yasufumi Yokoshiki, Takamichi Nakamoto
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On the RICCI Metric of a Hypersurface
Mathematische Nachrichten, 1991 Assume the Riemannian manifold \((M,\langle\;,\;\rangle)\) to have positive Ricci curvature; then by the Ricci tensor a second Riemannian metric, denoted by \(\langle\;,\;\rangle_ *\), is defined on \(M\). In the present paper the author studies this metric on ovaloids in Euclidean space \(E^{n+1}\).
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Some Integral Formulas for the (r + 1)th Mean Curvature of a Closed Hypersurface
International Journal of Mathematics and Mathematical Sciences, 2012 By using the operator 𝐿𝑟, we define the notions of rth order and rth type of a Euclidean hypersurface. By the use of these notions, we are able to obtain some sharp estimates of the (𝑟+1)th mean curvature for a closed hypersurface of the Euclidean space ...
Akram Mohammadpouri, S. M. B. Kashani
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Extended Darboux frame curvatures of Frenet curves lying on parametric 3-surfaces
Kuwait Journal of Science, 2019 In this paper, we consider a Frenet curve lying on a parametric hypersurface in 4-dimensional Euclidean space and obtain the expressions of its curvatures with respect to the ...
Bahar Uyar Düldül, Mustafa Düldül
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Computing arrangements of hypersurfaces
Journal of Software for Algebra and GeometryWe present a Julia package HypersurfaceRegions.jl for computing all connected components in the complement of an arrangement of real algebraic hypersurfaces in $\mathbb{R}^n$.
Paul Breiding +2 more
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The Viro Method for Construction of Piecewise Algebraic Hypersurfaces
Abstract and Applied Analysis, 2013 We propose a new method to construct a real piecewise algebraic hypersurface of a given degree with a prescribed smoothness and topology. The method is based on the smooth blending theory and the Viro method for construction of Bernstein-Bézier algebraic
Yisheng Lai, Weiping Du, Renhong Wang
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Volume 3: Invited Lectures: Sections 1-4We survey recent developments on rationality problems for algebraic varieties, with a particular emphasis on cycle-theoretic and combinatorial methods and their applications to hypersurfaces.
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On the Performance of the Box Particle Filter for Extended Object Tracking Using Laser Data [PDF]
, 2012 This paper considers the challenging task of real time extended object tracking using cluttered measurements from laser range scanners. The performance of the recently proposed Box Particle Filter (Box PF) algorithm is evaluated utilising real ...
Gning, Amadou +13 more
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On the Zeta Function of a Hypersurface: II [PDF]
The Annals of Mathematics, 1962 The author continues his strikingly original work on the zeta function of an algebraic variety defined over a finite field. Here he considers a nonsingular hypersurface \(H\) of degree \(d\) in projective \(n\)-space over the field \(k=GF(q)\). The Weil conjectures predict that its zeta function has the form \[ \zeta(H,t)=P(t)^{(-1)^n}/\prod_0^{n-1}(1 ...
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