Results 111 to 120 of about 12,053 (292)

On Geodesic Triangles in Non-Euclidean Geometry

Foundations
In this paper, we study centroids, orthocenters, circumcenters, and incenters of geodesic triangles in non-Euclidean geometry, and we discuss the existence of the Euler line in this context.
Antonella Nannicini, Donato Pertici
doaj   +1 more source

Cross‐Modal Denoising and Integration of Spatial Multi‐Omics Data with CANDIES

Advanced Science, EarlyView.
In this paper, we introduce CANDIES, which leverages a conditional diffusion model and contrastive learning to effectively denoise and integrate spatial multi‐omics data. We conduct extensive evaluations on diverse synthetic and real datasets, CANDIES shows superior performance on various downstream tasks, including denoising, spatial domain ...
Ye Liu, Wanpeng Zou, Yuekai Li, Jiayi Wang, Mingxuan Cai, Hongmin Cai   +5 more
wiley   +1 more source

Compact Spacelike Hypersurfaces with Constant Mean Curvature in the Antide Sitter Space

International Journal of Mathematics and Mathematical Sciences, 2009
We obtain a height estimate concerning to a compact spacelike hypersurface Σn immersed with constant mean curvature H in the anti-de Sitter space ℍ1n+1, when its boundary ∂Σ is contained into an umbilical spacelike hypersurface of this spacetime which ...
Henrique F. de Lima, Joseilson R. de Lima   +1 more
doaj   +1 more source

Schooling Trajectories and the Development of Brain Dynamics: A Comparative Study of Montessori and Traditional Education

Advanced Science, EarlyView.
We investigate whether Montessori and traditional schooling systems shape the developmental trajectory of large‐scale brain dynamics in different ways. We quantify the arrow of time (“non‐reversibility”) in neural activity during resting state and movie‐watching, revealing distinct maturational patterns.
Elvira del Agua, Anira Escrichs, Yonatan Sanz Perl, Morten L. Kringelbach, Adele Diamond, Solange Denervaud, Gustavo Deco   +6 more
wiley   +1 more source

Universal Hyperbolic Geometry II: A pictorial overview [PDF]

, 2010
Članak pruža jednostavan slikovni uvod u univerzalnu u hiperboličku geometriju. Objašnjava se kako razumjeti sadržaj koristeći samo osnovnu projektivnu geometriju, proširenu jednom istaknutom kružnicom.
Wildberger, Norman John, Norman John Wildberger   +1 more
core   +1 more source

Transferable Deep Reinforcement Learning With Edge‐Contour‐Depth Fusion for Autonomous Wireless Capsule Endoscopy Navigation

Advanced Science, EarlyView.
This study presents an anatomical landmark‐guided DRL framework for autonomous wireless capsule endoscopy navigation. Using a lightweight edge‐contour‐depth fusion module, it achieves over 97% coverage across diverse gastric anatomies. To ensure reliability, a two‐stage sim‐to‐real pipeline with an adaptive dynamic programming controller mitigates ...
Haoxuan Wu, Haitao Gao, Qingyang Liu, Sishen Yuan, Haiyang Fang, Mingwu Su, Baijia Liang, Yongzun Yang, Long Bai, Wenzhen Dong, Dihong Xie, Shijian Su, Jiewen Lai, Shing Shin Cheng, Zhen Li, Xiuli Zuo, Hongliang Ren   +16 more
wiley   +1 more source

Classification of general absolute geometries with Lambert-Saccheri quadrangles

Le Matematiche, 2006
Without claiming any kind of continuity we show that an absolute geometry has either a singular, a hyperbolic or an elliptic congruence,
Helmut Karzel, Mario Marchi
doaj  

Reconfigurable Inflatables Through Controlled Surface Crumpling

Advanced Science, EarlyView.
ABSTRACT Inflatable structures offer remarkable versatility due to their compact storage and rapid deployment, making them ideal for lightweight, quickly assembled, and deployable applications. These structures are typically made from membranes that are nearly inextensible yet highly flexible.
Yi Yang, Hye Jun Youn, Leon Kamp, Renate Sachse, Wenjie Li, Jose Vidal, Jin Feng, Martin Bechthold, Katia Bertoldi   +8 more
wiley   +1 more source

Hyperbolic geometry [PDF]

, 1997
3. Why Call it Hyperbolic Geometry? 63 4.
Walter, Richard Kenyon, James W. Cannon, William J. Floyd, R. Parry   +4 more
core   +2 more sources

Hyperbolic embedding of brain networks as a tool for epileptic seizures forecasting

Physical Review Research
The evidence indicates that intracranial electroencephalographic connectivity, as estimated from daily resting state recordings from epileptic patients, may be capable of identifying preictal states.
Martin Guillemaud, Louis Cousyn, Vincent Navarro, Mario Chavez   +3 more
doaj   +1 more source