Results 121 to 130 of about 365,665 (290)

Torsion Groups with the Norm of pd-Subgroup of Finite Index

Researches in Mathematics
The authors study the relations between the properties of torsion groups and their norms of $pd$-subgroups. The norm $N_G^{pdI}$ of $pd$-subgroups of a group $G$ is the intersection of the normalizers of all its $pd$-subgroups or a group itself, if the ...
T.D. Lukashova, M.G. Drushlyak, A.V. Pidopryhora   +2 more
doaj   +1 more source

Cross‐Scale Hierarchical Targeted Delivery System Based on Small‐Scale Magnetic Robots

Advanced Robotics Research, EarlyView.
This article reviews a cross‐scale hierarchical targeted delivery system that integrates magnetic continuum robots and magnetic microrobots. By combining rapid long‐range navigation with precise microscale targeting, the system overcomes key limitations of single‐scale approaches.
Junjian Zhou, Zhiqiang Chen, Yuanbiao Ma, Zhiqiang Tang, Qianqian Wang   +4 more
wiley   +1 more source

From Lab to Landscape: Environmental Biohybrid Robotics for Ecological Futures

Advanced Robotics Research, EarlyView.
This Perspective explores environmental biohybrid robotics, integrating living tissues, microorganisms, and insects for operation in real‐world ecosystems. It traces the leap from laboratory experiments to forests, wetlands, and urban environments and discusses key challenges, development pathways, and opportunities for ecological monitoring and ...
Miriam Filippi
wiley   +1 more source

AutomataGPT: Transformer‐Based Forecasting and Ruleset Inference for Two‐Dimensional Cellular Automata

Advanced Science, EarlyView.
We introduce AutomataGPT, a generative pretrained transformer (GPT) trained on synthetic spatiotemporal data from 2D cellular automata to learn symbolic rules. Demonstrating strong performance on both forward and inverse tasks, AutomataGPT establishes a scalable, domain‐agnostic framework for interpretable modeling, paving the way for future ...
Jaime A. Berkovich, Noah S. David, Markus J. Buehler   +2 more
wiley   +1 more source

Two bounds on the noncommuting graph

Open Mathematics, 2015
Erdős introduced the noncommuting graph in order to study the number of commuting elements in a finite group. Despite the use of combinatorial ideas, his methods involved several techniques of classical analysis.
Nardulli Stefano, Russo Francesco G.
doaj   +1 more source

In Situ Characterisation of Hydrogels via Dynamic Interface Printing

Advanced Science, EarlyView.
ABSTRACT Hydrogels have become pivotal materials for tissue engineering, robotics, biomedical devices, and sensing applications due to their diverse material compositions and tunable mechanical properties. While significant effort has focused on developing novel manufacturing approaches such as extrusion bioprinting and light‐based fabrication methods,
Callum Vidler, Michael Halwes, David J. Collins   +2 more
wiley   +1 more source

An Artificial Antibody‐Based Toolbox Accelerates Validation of Hidden Microproteins Encoded by the Dark Genome

Advanced Science, EarlyView.
Microproteins are hidden treasures encoded by the “dark proteome” but remain largely underexplored due to the lack of highly efficient tools. We developed a molecularly imprinted polymers (MIPs)‐based toolbox (CLAIMID) to achieve accelerated and ultrasensitive microproteins validation at multiple biological scales (single living cells, cell populations,
Hui He, Anqi Zhang, Zhanchen Guo, Qi Li, Song Gao, Wenyan Guan, Ying Li, Jingran Chen, Sijia Sun, Jian He, Zhen Liu   +10 more
wiley   +1 more source

Localizations of finitely generated soluble groups

Journal of Algebra, 2012
The study of localizations of groups has concentrated on group theoretic properties which are preserved by localization. In this paper we look at finitely generated soluble groups and determine when the local groups associated with them are soluble.
openaire   +2 more sources

Photon‐Sphere Modes in Curved Optical Microcavities: A Black‐Hole Analogue Laser

Advanced Science, EarlyView.
An optical analogue of a Schwarzschild black hole is realized using curved microcavities that preserve light‐like geodesics. A new family of laser modes confined around the photon sphere is identified alongside conventional whispering‐gallery modes. Analytical theory, numerical simulations, and experiments reveal curvature‐induced confinement, enabling
Chenni Xu, Aswathy Sundaresan, Nazire‐Begüm Kazkal, Clement Lafargue, Lior Zarfaty, Li‐Gang Wang, Ofek Birnholtz, Dominique Decanini, Melanie Lebental, Patrick Sebbah   +9 more
wiley   +1 more source

Lifting smooth curves over invariants for representations of compact Lie groups, III

, 2005
Any sufficiently often differentiable curve in the orbit space $V/G$ of a real finite-dimensional orthogonal representation $G \to O(V)$ of a finite group $G$ admits a differentiable lift into the representation space $V$ with locally bounded derivative.
Kriegl, Andreas, Losik, Mark, Michor, Peter W., Rainer, Armin   +3 more
core   +4 more sources