Results 31 to 40 of about 89,077 (157)

Optimization of 3D‐Printed Structured Packings—Current State and Future Developments

Chemie Ingenieur Technik, EarlyView.
This paper gives an overview about structured packing development for distillation, surveying heuristic development cycles, computational fluid dynamics simulations, and additive manufacturing techniques. The emerging application of shape optimization to improve packings is emphasized, and its benefits, impact, and limitations are discussed.
Dennis Stucke, Sebastian Blauth, Christian Leithäuser, Thomas Grützner   +3 more
wiley   +1 more source

The rolling problem: overview and challenges

, 2012
In the present paper we give a historical account -ranging from classical to modern results- of the problem of rolling two Riemannian manifolds one on the other, with the restrictions that they cannot instantaneously slip or spin one with respect to the ...
A Agrachev, A Agrachev, A Agrachev, A Chelouah, A Marigo, A Marigo, AM Bloch, AV Borisov, Cartan, Cartan, DJ Montana, DW Stroock, E Grong, EP Hsu, F Alouges, G Bor, H Sussmann, I Zelenko, I Zelenko, IM Singer, J Zimmerman, J-M Bismut, K Hüper, K Hüper, K Nomizu, M Godoy Molina, M Godoy Molina, P Rouchon, PB Gilkey, PE Jupp, R Bryant, R Montgomery, R Murray, RW Sharpe, S Kobayashi, SA Chaplygin, SA Chaplygin, T Sakai, V Jurdjevic, V Jurdjevic, V Jurdjevic, Y Chitour, Y Chitour, Y Chitour, Z Li   +44 more
core   +3 more sources

Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley   +1 more source

Geodesic Vector Fields on a Riemannian Manifold

Mathematics, 2020
A unit geodesic vector field on a Riemannian manifold is a vector field whose integral curves are geodesics, or in other worlds have zero acceleration. A geodesic vector field on a Riemannian manifold is a smooth vector field with acceleration of each of
Sharief Deshmukh, Patrik Peska, Nasser Bin Turki   +2 more
doaj   +1 more source

Brain–Computer Interfaces: The Dawn of a New Era in Disease Treatment

Exploration, EarlyView.
This study investigates the potential of brain–computer interface (BCI) technology in treating neuropsychiatric disorders, such as movement and communication barriers. Our review examines the history, signal paradigms, and diverse applications of BCI while also discussing ongoing research into novel materials and emerging technologies that offer ...
Yuqi Feng, Wangzheqi Zhang, Jun Chen, Huang Wu, Lei Wu, Yanhao Qiu, Xiaoming Deng, Chenglong Zhu, Yisheng Chen, Zhijie Zhao, Changli Wang, Xiaomin Zhang   +11 more
wiley   +1 more source

Riemannian Geometry for the Classification of Brain States with Intracortical Brain Recordings

Advanced Intelligent Systems
This study investigates the application of Riemannian geometry‐based methods for brain decoding using invasive electrophysiological recordings. While Riemannian geometry has been successfully applied in noninvasive settings, its utility for invasive ...
Arnau Marin‐Llobet, Sergio Sánchez‐Manso, Arnau Manasanch, Lluc Tresserras, Xinhe Zhang, Yining Hua, Hao Zhao, Melody Torao‐Angosto, Maria V Sanchez‐Vives, Leonardo Dalla Porta   +9 more
doaj   +1 more source

The Information Geometry of Sensor Configuration

Sensors, 2021
In problems of parameter estimation from sensor data, the Fisher information provides a measure of the performance of the sensor; effectively, in an infinitesimal sense, how much information about the parameters can be obtained from the measurements ...
Simon Williams, Arthur George Suvorov, Zengfu Wang, Bill Moran   +3 more
doaj   +1 more source

A Note on Real Tunneling Geometries

, 2005
In the Hartle-Hawking ``no boundary'' approach to quantum cosmology, a real tunneling geometry is a configuration that represents a transition from a compact Riemannian spacetime to a Lorentzian universe.
Agol I Dunfield N M Storm P A Thurston W P, Anderson M, Carlip S, Hawking S W, Perelman G, Perelman G, S Carlip, Thurston W P   +7 more
core   +1 more source

Deep Learning Unlocks Behavioral Prediction and Neurobehavioral Decoding

Med Research, EarlyView.
This review evaluates deep learning frameworks that surmount conventional limitations through high‐dimensional nonlinear modeling, spatiotemporal dependency capture, and multimodal information integration. Focusing on biological behavior forecasting and neural mechanism decoding, we delineate cutting‐edge applications, including real‐time action ...
Tianzhe Han, Yunhua Jia, Xiaomin Hu, Shuyue Wang, Ruiwen Wang, Zhijing Zhu   +5 more
wiley   +1 more source

Sobolev-Gaffney type inequalities for differential forms on sub-Riemannian contact manifolds with bounded geometry

Advanced Nonlinear Studies, 2022
In this article, we establish a Gaffney type inequality, in Wℓ,p{W}^{\ell ,p}-Sobolev spaces, for differential forms on sub-Riemannian contact manifolds without boundary, having bounded geometry (hence, in particular, we have in mind noncompact manifolds)
Baldi Annalisa, Tesi Maria Carla, Tripaldi Francesca   +2 more
doaj   +1 more source