Results 71 to 80 of about 1,504 (198)
Tangent Blow‐Ups for Processing Non‐Manifold Geometry
Computer Graphics Forum, EarlyView.Abstract Many geometry processing pipelines implicitly assume their input data is a manifold, or is sampled from one, with a unique tangent plane at every point. Geometric data, however, routinely contains sharp features like edges, corners, self‐intersections, branching junctions, and other singularities, rendering standard methods ill‐defined at ...
Alice Petrov +3 more
wiley +1 more source
On Spatial Point Processes With Composition‐Valued Marks
International Statistical Review, EarlyView.Summary Methods for marked spatial point processes with scalar marks have seen extensive development in recent years. While the impressive progress in data collection and storage capacities has yielded an immense increase in spatial point process data with highly challenging non‐scalar marks, methods for their analysis are not equally well developed ...
Matthias Eckardt +2 more
wiley +1 more source
Analysis and Geometry in Metric SpacesIn the realm of sub-Riemannian manifolds, a relevant question is: what are the metric lines (isometric embedding of the real line)? The space of kk-jets of a real function of one real variable xx, denoted by Jk(R,R){J}^{k}\left({\mathbb{R}},{\mathbb{R}}),
Bravo-Doddoli Alejandro
doaj +1 more source
Atlas of cortical sulcal imprints on Pan endocasts
Journal of Anatomy, EarlyView.This comprehensive atlas documents the frequency, position, and variability of cortical sulcal imprints across 21 extant Pan endocasts, providing the first quantitative baseline for comparative paleoneurology. This atlas serves as a reference for distinguishing ancestral from derived features in hominin brain evolution.
Edwin J. de Jager +6 more
wiley +1 more source
Zero modes in de Sitter background
Journal of High Energy Physics, 2017 There are five well-known zero modes among the fluctuations of the metric of de Sitter (dS) spacetime. For Euclidean signature, they can be associated with certain spherical harmonics on the S 4 sphere, viz., the vector representation 5 of the global SO ...
Martin B. Einhorn, D. R. Timothy Jones
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Market Making With Fads, Informed, and Uninformed Traders
Mathematical Finance, EarlyView.ABSTRACT We characterize the solution to a continuous‐time optimal liquidity provision problem in a market populated by informed and uninformed traders. In our model, the asset price exhibits fads —these are short‐term deviations from the fundamental value of the asset.
Emilio Barucci +2 more
wiley +1 more source
Isometric immersion of a compact Riemannian manifold into a Euclidean space [PDF]
Bulletin of the Australian Mathematical Society, 1992 We show that an isometric immersion of an n−dimensional compact Riemannian manifold of non-negative Ricci curvature with scalar curvature always less than n(n−1)λ−2 into a Euclidean space of dimension n + 1 can never be contained in a ball of radius λ.
openaire +2 more sources
What in the World Are 4D Shapes?
Noûs, EarlyView.ABSTRACT It is often said that in special relativity, 4D shapes can be used to explain 3D shape projections onto frames of reference. Perdurantists have frequently used this as a motivation for their view of persistence. Despite this, philosophers never clearly state what 4D shapes are.
Jack Himelright +1 more
wiley +1 more source
Isometric embedding of a compact Riemannian manifold into Euclidean space [PDF]
Proceedings of the American Mathematical Society, 1973 An isometric immersion of an n n -dimensional compact Riemannian manifold with sectional curvature always less than
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Coding of hypersurfaces in Euclidean spaces by a constant vector
Open MathematicsAn nn-dimensional Riemannian manifold (Nn,g)({N}^{n},g) isometrically immersed in Euclidean space Rn+1{R}^{n+1} with unit normal ζ\zeta and shape operator SS, for a fixed constant unit vector a→\overrightarrow{{\bf{a}}} in Rn+1{R}^{n+1} induces a vector
Deshmukh Sharief, Guediri Mohammed
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