Results 11 to 20 of about 377,650 (220)

Introducing a New Intrinsic Metric [PDF]

open access: yesResults in Mathematics, 2022
AbstractA new intrinsic metric called the t-metric is introduced. Several sharp inequalities between this metric and the most common hyperbolic type metrics are proven for various domains $$G\subsetneq \mathbb {R}^n$$ G ⊊ R
Oona Rainio, Matti Vuorinen
openaire   +5 more sources

A CLASSIFICATION MODEL FOR THE INFERENCE OF SPATIAL PRECISION OF OPENSTREETMAP BUILDINGS WITH INTRINSIC INDICATORS [PDF]

open access: yesISPRS Annals of the Photogrammetry, Remote Sensing and Spatial Information Sciences, 2023
To evaluate the quality of OSM data, similarities between OSM features and their homologous features represented in a reference database are relevant metrics. However, reference databases do not exist everywhere or are not freely available.
I. Maidaneh Abdi   +3 more
doaj   +1 more source

On the Construction of Chaotic Dynamical Systems on the Box Fractal

open access: yesResearches in Mathematics, 2021
In this paper, our main aim is to obtain two different discrete chaotic dynamical systems on the Box fractal ($B$). For this goal, we first give two composition functions (which generate Box fractal and filled-square respectively via escape time ...
N. Aslan, M. Saltan
doaj   +1 more source

Intrinsic Dimension Estimation for Discrete Metrics

open access: yesPhysical Review Letters, 2023
Real world-datasets characterized by discrete features are ubiquitous: from categorical surveys to clinical questionnaires, from unweighted networks to DNA sequences. Nevertheless, the most common unsupervised dimensional reduction methods are designed for continuous spaces, and their use for discrete spaces can lead to errors and biases.
Macocco, Iuri   +3 more
openaire   +3 more sources

Lorentzian Approximations and Gauss–Bonnet Theorem for E1,1 with the Second Lorentzian Metric

open access: yesJournal of Mathematics, 2022
In this paper, we consider the Lorentzian approximations of rigid motions of the Minkowski plane EL21,1. By using the method of Lorentzian approximations, we define the notions of the intrinsic curvature for regular curves, the intrinsic geodesic ...
Haiming Liu, Xiawei Chen
doaj   +1 more source

Intrinsic metrics in ring domains [PDF]

open access: yesComplex Analysis and its Synergies, 2022
AbstractThree hyperbolic-type metrics including the triangular ratio metric, the$$j^*$$j∗-metric, and the Möbius metric are studied in an annular ring. The Euclidean midpoint rotation is introduced as a method to create upper and lower bounds for these metrics, and their sharp inequalities are found. A new Möbius-invariant lower bound is proved for the
openaire   +3 more sources

Intrinsic metrics in polygonal domains

open access: yesMathematische Nachrichten, 2023
AbstractWe study inequalities between the hyperbolic metric and intrinsic metrics in convex polygonal domains in the complex plane. A special attention is paid to the triangular ratio metric in rectangles. A local study leads to investigation of the relationship between the conformal radius at an arbitrary point of a planar domain and the distance of ...
Dina Dautova   +3 more
openaire   +2 more sources

Einstein metrics via intrinsic or parallel torsion [PDF]

open access: yesMathematische Zeitschrift, 2004
The classification of Riemannian manifolds by the holonomy group of their Levi-Civita connection picks out many interesting classes of structures, several of which are solutions to the Einstein equations. The classification has two parts. The first consists of isolated examples: the Riemannian symmetric spaces.
Cleyton, R., Swann, Andrew
openaire   +4 more sources

Metrics and spectral triples for Dirichlet and resistance forms [PDF]

open access: yes, 2013
The article deals with intrinsic metrics, Dirac operators and spectral triples induced by regular Dirichlet and resistance forms. We show, in particular, that if a local resistance form is given and the space is compact in resistance metric, then the ...
Hinz, Michael   +2 more
core   +1 more source

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