Results 41 to 50 of about 5,737 (222)
Laminations and groups of homeomorphisms of the circle
If M is an atoroidal 3-manifold with a taut foliation, Thurston showed that pi_1(M) acts on a circle. Here, we show that some other classes of essential laminations also give rise to actions on circles.
Calegari, Danny, Dunfield, Nathan M.
core +1 more source
This paper presents a computer vision (deep learning) pipeline integrating YOLOv8 and YOLOv9 for automated detection, segmentation, and analysis of rosette cellulose synthase complexes in freeze‐fracture electron microscopy images. The study explores curated dataset expansion for model improvement and highlights pipeline accuracy, speed ...
Siri Mudunuri +6 more
wiley +1 more source
We present a new circular-arc cartogram model in which countries are drawn as polygons with circular arcs instead of straight-line segments. Given a political map and values associated with each country in the map, a cartogram is a distorted map in which
Kobourov, Stephen G. +2 more
core +2 more sources
This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley +1 more source
Convexifying Monotone Polygons while Maintaining Internal Visibility [PDF]
Let P be a simple polygon on the plane. Two vertices of P are visible if the open line segment joining them is contained in the interior of P. In this paper we study the following questions posed in [8,9]: (1) Is it true that every non-convex simple polygon has a vertex that can be continuously moved such that during the process no vertex-vertex ...
Oswin Aichholzer +5 more
openaire +1 more source
Study on the Fragmentation Characteristics and Dust Generation Mechanism of Coal Cutting by Pick
ABSTRACT During underground excavation, coal dust generation threatens miners' health and damages ecosystems. Its generation is directly influenced by cutting pick performance and inherent coal properties. This study investigates the effects of coal properties and cutting parameters on coal fragmentation characteristics from a mesoscopic perspective ...
Shihang Li +10 more
wiley +1 more source
ABSTRACT This paper tackles one key limitation in the analysis of Iron Age communities in the Northwestern Iberian Peninsula: the limited exploration of areas beyond the fortified settlements known as castros (hillforts). The vast majority of archaeological studies have focused exclusively on the areas inside the walls of these settlements, which are ...
César Parcero‐Oubiña +7 more
wiley +1 more source
Construction of harmonic diffeomorphisms and minimal graphs [PDF]
We study complete minimal graphs in HxR, which take asymptotic boundary values plus and minus infinity on alternating sides of an ideal inscribed polygon Γ in H.
Collin, Pascal, Rosenberg, Harold
core +3 more sources
ABSTRACT This study investigates the effectiveness of drone‐based remote sensing and Google Earth satellite imagery for archaeological prospection in the Bayan Gol Valley, Central Mongolia. Utilizing a fixed‐wing unmanned aerial vehicle (UAV) equipped with RGB and multispectral sensors, we surveyed 655 ha to document Mongol‐period settlement structures
Peter Heimermann +4 more
wiley +1 more source
Testing a simple polygon for monotonicity optimally in parallel
We show that an \(n\)-vertex simple polygon can be tested in parallel for monotonicity optimally in \(O(\log n)\) time using \(n/\log n\) EREW PRAM processors, and we present two different optimal parallel algorithms for solving this problem. Our results leads to an optimal parallel algorithm for triangulating simple polygons that runs in \(O(\log n)\)
Chen, Danny Z., Guha, Sumanta
openaire +4 more sources

