Results 131 to 140 of about 1,286,020 (149)
Some of the next articles are maybe not open access.
On Random Walk in the Lobachevsky Plane
Theory of Probability & Its Applications, 1968V. N. Tutubalin
openaire +2 more sources
Canonical and boundary representations on the Lobachevsky plane associated with linear bundles
Tambov University Reports. Series: Natural and Technical Sciences, 2017Grosheva Larisa Igorevna
openaire +2 more sources
The Existence of Finite Bolyai-Lobachevsky Planes
Mathematics Magazine, 1970Acknowledgemnents. I would like to thank Daniel H. Wagner, Associates for support of this project; I would also like to thank M. L. Golubitsky and W. S. Brainerd for programming assistance. A portion of this work was supported by an ONR Foundation Grant (FY1968). A greatly abbreviated version of this paper has appeared in Biometrika [3] under the title,
openaire +1 more source
Darboux transformation of coherent states for a Lobachevski plane
Russian Physics Journal, 1997A Darboux transformation of coherent states is considered for a singular oscillator. A coordinate representation and a holomorphic representation are obtained for the Darboux transformation operator and the coherent states. The Hermitian metric and the Kaler potential of the transformed system are calculated.
openaire +1 more source
An Analog of the Appollonian Circle on the Lobachevski Plane and on the Sphere
Journal of Mathematical Sciences, 2001For points \(A,B\in E^2\) and any \(k>1\), the set \(K=\{M\subset E^2:\frac{|MB|}{|MA|}=k\}\) is known to be the Apollonian circle of \(A\) and \(B\). The authors describe the analogue of \(K\) in the Lobachevski plane (which is a closed analytic curve bounding a strictly convex set containing \(A\)), and they continue with a similar construction on ...
Zalgaller, V. A., Merkulova, O. M.
openaire +2 more sources
On local classification of geometrical quantities on the Lobachevski plane
Journal of Mathematical Sciences, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
VARIOUS MODELS OF THE LOBACHEVSKY PLANE AND THEIR GEOMETRIC INTERPRETATIONS
This article explores the fundamental models of the Lobachevsky plane, a cornerstone of hyperbolic geometry. It focuses on three major representations: the Poincaré disk model, the Beltrami-Klein model, and the upper half-plane model. The models are compared in terms of their geometric features, such as distance, angles, and parallel lines.Obidjonova Diyora Omonjon qizi +1 more
openaire +1 more source
About an isoperimetric property of $��$-convex lunes on the Lobachevsky plane
2014We give a sharp lower bound on the area of a domain that can be enclosed by a closed embedded $ $-convex curve of a given length on the Lobachevsky plane.
openaire +1 more source