Results 61 to 70 of about 2,241,688 (305)

A study on efficient chaotic modeling via fixed-memory length fractional Gauss maps [PDF]

open access: yesIranian Journal of Numerical Analysis and Optimization
This paper investigates the dynamic behavior of the fractional Gauss map with fixed memory length, highlighting its potential for efficient chaotic modeling.
A. Bellout   +3 more
doaj   +1 more source

A noncommutative Gauss map

open access: yesMATHEMATICA SCANDINAVICA, 2011
The aim of this paper is to transfer the Gauss map, which is a Bernoulli shift for continued fractions, to the noncommutative setting. We feel that a natural place for such a map to act is on the AF algebra $\mathfrak A$ considered separately by F. Boca and D. Mundici.
openaire   +3 more sources

Every Meromorphic Function is the Gauss Map of a Conformal Minimal Surface [PDF]

open access: yes, 2016
Let M be an open Riemann surface. We prove that every meromorphic function on M is the complex Gauss map of a conformal minimal immersion $$M\rightarrow \mathbb {R}^3$$M→R3 which may furthermore be chosen as the real part of a holomorphic null curve $$M ...
A. Alarcón   +2 more
semanticscholar   +1 more source

On the Gauss map of $B$-scrolls

open access: yesTsukuba Journal of Mathematics, 1998
Let \(M\) be a ruled surface in the 3-dimensional Lorentz-Minkowski space \({\mathbb L}^3\) defined by \(X(s,t)=x(s)+tB(s)\), where \((x , F)\) is a null curve with frame \(F=\{A,B,C\}\). \(M\) is called a B-scroll if \(F\) is a Cartan frame, i.e., \(A, B, C\) are vector fields along \(x\) in \({\mathbb L}^3\) satisfying the conditions \(\langle A, A ...
Alias, Luis J.   +3 more
openaire   +3 more sources

A Gauss-Kuzmin-Lévy theorem for a certain continued fraction

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2004
We consider an interval map which is a generalization of the well-known Gauss transformation. In particular, we prove a result concerning the asymptotic behavior of the distribution functions of this map.
Hei-Chi Chan
doaj   +1 more source

New examples of surfaces in H³ with conformal normal Gauss map

open access: yesAnais da Academia Brasileira de Ciências, 2006
In this paper we give some examples of surfaces in H³ with conformal normal Gauss map with respect to the second conformal structure and prove some global properties.Neste trabalho, damos alguns exemplos de superfícies no espaço hiperbólico de dimensão ...
Shuguo Shi
doaj   +1 more source

New official cartographic projection of Serbia [PDF]

open access: yesVojnotehnički Glasnik, 2012
A review of the elements of the mathematical base of our topographic maps is given. The Gauss-Kruger's conformal cylindric projection has been applied so far in Serbia and in the future the transversal Mercator's projection will be the official mapping ...
Mirko A. Borisov, Radoje D. Banković
doaj   +1 more source

The Generalized Gauss Map and Applications

open access: yesRocky Mountain Journal of Mathematics, 1993
The authors define a Gauss map for hypersurfaces in a Riemannian parallelizable manifold and study its properties. Applying these results they generalize some classical results of Differential Geometry.
Ripoll, Jaime B., Sebastiani, Marcos
openaire   +2 more sources

Conformal hypersurfaces with the same Gauss map [PDF]

open access: yesTransactions of the American Mathematical Society, 1993
In this paper we provide a complete classification of all hypersurfaces of Euclidean space which admit conformal deformations, other than the ones obtained through conformal diffeomorphisms of the ambient space, preserving the Gauss map.
Marcos Dajczer, Enaldo Vergasta
openaire   +5 more sources

SLAM on the Hexagonal Grid

open access: yesSensors, 2022
Hexagonal grids have many advantages over square grids and could be successfully used in mobile robotics as a map representation. However, there is a lack of an essential algorithm, namely, SLAM (simultaneous localization and mapping), that would ...
Piotr Duszak
doaj   +1 more source

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