Results 11 to 20 of about 377,650 (220)
Introducing a New Intrinsic Metric [PDF]
Results 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
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A CLASSIFICATION MODEL FOR THE INFERENCE OF SPATIAL PRECISION OF OPENSTREETMAP BUILDINGS WITH INTRINSIC INDICATORS [PDF]
ISPRS 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
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On the Construction of Chaotic Dynamical Systems on the Box Fractal
Researches 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
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Intrinsic Dimension Estimation for Discrete Metrics
Physical 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
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Lorentzian Approximations and Gauss–Bonnet Theorem for E1,1 with the Second Lorentzian Metric
Journal 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
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Intrinsic metrics in ring domains [PDF]
Complex 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
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Intrinsic metrics in polygonal domains
Mathematische 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
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Einstein metrics via intrinsic or parallel torsion [PDF]
Mathematische 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
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Metrics and spectral triples for Dirichlet and resistance forms [PDF]
, 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
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