Results 71 to 80 of about 29,420 (189)

Geometric Analysis and General Relativity

, 2005
This article discusses methods of geometric analysis in general relativity, with special focus on the role of "critical surfaces" such as minimal surfaces, marginal surface, maximal surfaces and null surfaces.Comment: to appear in Elsevier Encyclopedia ...
Andersson, Lars
core  

In Situ Graph Reasoning and Knowledge Expansion Using Graph‐PRefLexOR

Advanced Intelligent Discovery, EarlyView.
Graph‐PRefLexOR is a novel framework that enhances language models with in situ graph reasoning, symbolic abstraction, and recursive refinement. By integrating graph‐based representations into generative tasks, the approach enables interpretable, multistep reasoning.
Markus J. Buehler
wiley   +1 more source

What to Make and How to Make It: Combining Machine Learning and Statistical Learning to Design New Materials

Advanced Intelligent Discovery, EarlyView.
Combining machine learning and probabilistic statistical learning is a powerful way to discover and design new materials. A variety of machine learning approaches can be used to identify promising candidates for target applications, and causal inference can help identify potential ways to make them a reality.
Jonathan Y. C. Ting, Amanda S. Barnard
wiley   +1 more source

The Scalar Curvature Problem on the Four Dimensional Half Sphere

, 2003
In this paper, we consider the problem of prescribing the scalar curvature under minimal boundary conditions on the standard four dimensional half sphere. We provide an Euler-Hopf type criterion for a given function to be a scalar curvature to a metric
Ahmedou, M. Ould, Ayed, M. Ben, Mehdi, K. El   +2 more
core   +4 more sources

Deep Learning‐Assisted Design of Mechanical Metamaterials

Advanced Intelligent Discovery, EarlyView.
This review examines the role of data‐driven deep learning methodologies in advancing mechanical metamaterial design, focusing on the specific methodologies, applications, challenges, and outlooks of this field. Mechanical metamaterials (MMs), characterized by their extraordinary mechanical behaviors derived from architected microstructures, have ...
Zisheng Zong, Pu Wen, Zhiping Chai, Dunxuan Wu, Han Ding, Zhigang Wu   +5 more
wiley   +1 more source

Prescribed Scalar Curvature Problem under Conformal Deformation of A Riemannian Metric with Dirichlet Boundary Condition

, 2022
V1, Aug.
openaire   +2 more sources

Mainstream Artificial Intelligence Technologies in Contemporary Ophthalmology

Advanced Intelligent Systems, EarlyView.
This review explores the latest artificial intelligence (AI) technologies in ophthalmology, focusing on four key data types: medical imaging, electronic health records, robotic‐assisted surgery, and genomics. It examines the structural features, use cases, clinical goals, and evaluation metrics of various AI algorithms, while also introducing emerging ...
Shiqi Yin, Lei Wang, Shanjun Wu, Jiewei Jiang, Wei Qiang, Yangyang Wang, Shihong Wang, Yi Shao, Wei Chen, Zhongwen Li   +9 more
wiley   +1 more source

Torque‐Transmitting Architected Metamaterials for Flexible and Extendable Tubular Robotics

Advanced Intelligent Systems, EarlyView.
Soft and continuum robots commonly rely on fluid, tendon, or rod‐based power transmissions, to control robotic form and actuation. This study presents an architected structure, based on patterned straight‐line mechanisms, that enables simultaneous bending, extending, and torsionally rigid (BETR) transmission.
Sawyer Thomas, Aman Garg, Jeffery Lipton
wiley   +1 more source

Self‐Healing Materials from Electronically Integrated Microscopic Robots

Advanced Intelligent Systems, EarlyView.
Submillimeter robots can use electronically controlled electrodeposition to assemble into a material structure. The resulting aggregate possesses ultralow density, high strength‐to‐weight ratio, and can heal from damage. Further afield, these results clear a path to materials that organize or adapt by directing matter and information at the microscale.
Lucas C. Hanson, William H. Reinhardt, Marc Z. Miskin   +2 more
wiley   +1 more source

From Origami to Bistable and Laminate Structures: A Review for Multifunctional Applications from Structural Perspective of Shape‐Changing Structures

Advanced Intelligent Systems, EarlyView.
This review explores how shape‐changing structures—origami, bistable, and laminate structures—enable multifunctionality in soft robotics and metamaterials. Starting from structural design, it examines core principles, real‐world applications, and ongoing challenges.
Lingchen Kong, Yaoyao Fiona Zhao
wiley   +1 more source