Results 51 to 60 of about 8,796 (232)

Visibility and Intersection Density for Boolean Models in Hyperbolic Space

Mathematische Nachrichten, EarlyView.
ABSTRACT For Poisson particle processes in hyperbolic space we introduce and study concepts analogous to the intersection density and the mean visible volume, which were originally considered in the analysis of Boolean models in Euclidean space. In particular, we determine a necessary and sufficient condition for the finiteness of the mean visible ...
Tillmann Bühler, Daniel Hug, Christoph Thäle   +2 more
wiley   +1 more source

Singular Tropical Hypersurfaces [PDF]

Discrete & Computational Geometry, 2011
Several improvements.
Alicia Dickenstein, Luis Felipe Tabera
openaire   +4 more sources

Rotational hypersurface in 4-Space [PDF]

, 2016
We consider rotational hypersurface in the four dimensional Euclidean space. We calculate the mean and the Gaussian curvature, and some relations of the rotational hypersurface.
Güler, Erhan, Magid, Martin, Yaylı, Yusuf   +2 more
core  

The fourth fundamental form of the torus hypersurface [PDF]

, 2020
We introduce the fourth fundamental form of the torus hypersurface in the four dimensional Euclidean space.
Güler, Erhan
core   +1 more source

Differential Geometry and Matrix-Based Generalizations of the Pythagorean Theorem in Space Forms

Mathematics
In this work, we consider Pythagorean triples and quadruples using fundamental form matrices of hypersurfaces in three- and four-dimensional space forms and illustrate various figures. Moreover, we generalize that an immersed hypersphere Mn with radius r
Erhan Güler, Yusuf Yaylı, Magdalena Toda   +2 more
doaj   +1 more source

On the equivalence of two curvature conditions for Lorentzian hypersurfaces

Arab Journal of Mathematical Sciences, 2017
Let n≥3. We show that semi-symmetry and Ricci-semisymmetry conditions are equivalent for any n-dimensional Lorentzian hypersurface in a Lorentzian space form with nonzero curvature.
Mohammed Guediri, Norah Alshehri
doaj   +1 more source

Good Real Perturbations of Simple Corank One Map Germs From R3$\mathbb {R}^3$ to R3$\mathbb {R}^3$

Mathematische Nachrichten, EarlyView.
ABSTRACT The existence of good real perturbations of map germs is one of the most interesting open questions in singularity theory. In this paper, we investigate this question for all simple corank one map germs from R3$\mathbb {R}^3$ to R3$\mathbb {R}^3$, we give a complete description of those that admit a good real perturbation.
A. J. Miranda, M. J. Saia, T. O. Souza
wiley   +1 more source

Lightlike Hypersurfaces and Canal Hypersurfaces of Lorentzian Surfaces

Abstract and Applied Analysis, 2014
The lightlike hypersurfaces in semi-Euclidean space are of special interest in Relativity Theory. In particular, the singularities of these lightlike hypersurfaces provide good models for the study of different horizon types. And we obtain some geometrical propositions of the canal hypersurfaces of Lorentzian surfaces.
Sun, Jianguo, Pei, Donghe
openaire   +4 more sources

On a special hypersurface of a Finsler space with (α,β)-metric. [PDF]

, 2009
The purpose of the present paper is to consider a special hypersur-face of a Finsler space with (;)-metric+p2+2. We prove conditions for the special Finsler hypersurface to be a hyperplane of first, second and third ...
Pradeep Kumar, ., Narasimhamurthy, S.K., Nagaraja, H.G., Aveesh, S.T.   +3 more
core  

Optimal Gain Selection for the Arbitrary‐Order Homogeneous Differentiator

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT Differentiation of noisy signals is a relevant and challenging task. Widespread approaches are the linear high‐gain observer acting as a differentiator and Levant's robust exact differentiator with a discontinuous right‐hand side. We consider the family of arbitrary‐order homogeneous differentiators, which includes these special cases.
Benjamin Calmbach, Jaime A. Moreno, Johann Reger   +2 more
wiley   +1 more source