Results 51 to 60 of about 15,634 (261)

Ball Packings in Hyperbolic Space

, 2023
In hyperbolic space density cannot be defined by a limit as we define it in Euclidean space. We describe the local density bounds for sphere packings and we discuss the different attempts to define optimal arrangements in hyperbolic space.
Tóth, Gábor Fejes, Tóth, Lázló Fejes, Kuperberg, Włodzimierz.   +2 more
openaire   +2 more sources

Three‐Dimensional Hierarchical Nanowire‐Networks with Deep‐Focus Tolerance and Adhesion Robustness for Harsh‐Environment SERS Sensing

Advanced Functional Materials, EarlyView.
A 3D nanowire‐network SERS substrate with robust adhesion is developed, featuring pronounced z‐direction optical activity, ultralow detection limit (1.5 × 10−13 M), and excellent signal uniformity (RSD < 10%). Enabled by enhanced light scattering, increased optical density of states, and structural reinforcement, the substrate demonstrates stable, high‐
Jinglai Duan, Wentao Wang, Xiu Liang, Yongliang Zhang, Jie Liu, Yu Bai, Dangyuan Lei   +6 more
wiley   +1 more source

Packing Multidimensional Spheres in an Optimized Hyperbolic Container

Mathematics
The problem of packing multidimensional spheres in a container defined by a hyperbolic surface is introduced. The objective is to minimize the height of the hyperbolic container under non-overlapping and containment conditions for the spheres ...
Yuriy Stoyan, Georgiy Yaskov, Tetyana Romanova, Igor Litvinchev, Yurii E. Stoian, José Manuel Velarde Cantú, Mauricio López Acosta   +6 more
doaj   +1 more source

Trudinger–Moser inequality in the hyperbolic space ℍN

Advances in Nonlinear Analysis, 2013
We prove a version of the Trudinger–Moser inequality in the hyperbolic space ℍN, which gives a sharper version of the Trudinger–Moser inequality on the Euclidean unit ball, as well as a hyperbolic space version of the Onofri inequality, and prove the ...
Mancini Gianni, Sandeep Kunnath, Tintarev Cyril   +2 more
doaj   +1 more source

Ivory's Theorem in Hyperbolic Spaces [PDF]

Siberian Mathematical Journal, 2004
According to the planar version of Ivory's theorem, the family of confocal conics has the property that in each curvilinear quadrangle formed by two pairs of conics the diagonals are of equal length. The authors show that this theorem is closely related to selfadjoint affine transformations. This point of view opens up a possibility of generalizing the
Stachel, Hellmuth, Wallner, Johannes
openaire   +2 more sources

Designing Asymmetric Memristive Behavior in Proton Mixed Conductors for Neuromorphic Applications

Advanced Functional Materials, EarlyView.
Protonic devices that couple ionic and electronic transport are demonstrated as bioinspired neuromorphic elements. The devices exhibit rubber‐like asymmetric memristive behavior with slow voltage‐driven conductance increase and rapid relaxation, enabling simplified read–write operation.
Nada H. A. Besisa, Masaki Tsuji, Yoshihiro Furue, Yifan Geng, Satya P. Pati, Satoshi Hamasuna, Takeaki Yajima   +6 more
wiley   +1 more source

Jørgensen’s Inequality and Algebraic Convergence Theorem in Quaternionic Hyperbolic Isometry Groups

Abstract and Applied Analysis, 2014
We obtain an analogue of Jørgensen's inequality in quaternionic hyperbolic space. As an application, we prove that if the r-generator quaternionic Kleinian group satisfies I-condition, then its algebraic limit is also a quaternionic Kleinian group.
Huani Qin, Yueping Jiang, Wensheng Cao
doaj   +1 more source

Self‐Hybridized Exciton‐Polariton Photodetectors From Layered Metal‐Organic Chalcogenolates

Advanced Functional Materials, EarlyView.
Self‐hybridized exciton‐polariton photodetectors are demonstrated using high refractive index mithrene, eliminating the need for top mirrors. This simplified architecture enables tunable sub‐bandgap photodetection via lower exciton‐polariton states and enhanced carrier transport through ultrafast polariton group velocities.
Bongjun Choi, Adam D. Alfieri, Wangleong Chen, Deep Jariwala   +3 more
wiley   +1 more source

Celestial holography and AdS 3/CFT 2 from a scaling reduction of twistor space

Journal of High Energy Physics, 2023
Celestial amplitudes obtained from Mellin transforming 4d momentum space scattering amplitudes contain distributional delta functions, hindering the application of conventional CFT techniques.
Wei Bu, Sean Seet
doaj   +1 more source

Smart Catheters for Diagnosis, Monitoring, and Therapy

Advanced Healthcare Materials, EarlyView.
This study presents a comprehensive review of smart catheters, an emerging class of medical devices that integrate embedded sensors, robotics, and communication systems, offering increased functionality and complexity to enable real‐time health monitoring, diagnostics, and treatment. Abstract This review explores smart catheters as an emerging class of
Azra Yaprak Tarman, Samiha Ahmed, Majed Othman Althumayri, Megan Guy, Darlenne Chavez Lugo, Frances S. Ligler, George T. Ligler, Rahmi Oklu, Hiroshi Kawahira, Michael J. McShane, Jun Kameoka, Jonathan Bova, Hatice Ceylan Koydemir   +12 more
wiley   +1 more source