Results 61 to 70 of about 315,233 (274)
Linearizing and Forecasting: A Reservoir Computing Route to Digital Twins of the Brain
Advanced Science, EarlyView.A new approach uses simple neural networks to create digital twins of brain activity, capturing how different patterns unfold over time. The method generates and recovers key dynamics even from noisy data. When applied to fMRI, it predicts brain signals and reveals distinctive activity patterns across regions and individuals, opening possibilities for ...
Gabriele Di Antonio +3 more
wiley +1 more source
Abstract and Applied Analysis, 2013 Some new existence theorems concerning approximate coincidence point property and approximate fixed point property for nonlinear maps in metric spaces without global completeness are established in this paper.
Wei-Shih Du
doaj +1 more source
A Perspective on Interactive Theorem Provers in Physics
Advanced Science, EarlyView.Into an interactive theorem provers (ITPs), one can write mathematical definitions, theorems and proofs, and the correctness of those results is automatically checked. This perspective goes over the best usage of ITPs within physics and motivates the open‐source community run project PhysLean, the aim of which is to be a library for digitalized physics
Joseph Tooby‐Smith
wiley +1 more source
Random fixed point theorems for asymptotic 1-set contraction operators
International Journal of Mathematics and Mathematical Sciences, 2002 Random fixed point theorems for condensing, 1-set contraction selfless are known. But no random fixed point theorem for more general asymptotic 1-set contraction selfmaps is yet available.
P. Vijayaraju
doaj +1 more source
A Universal Approach to Self-Referential Paradoxes, Incompleteness and Fixed Points
, 2003 Following F. William Lawvere, we show that many self-referential paradoxes, incompleteness theorems and fixed point theorems fall out of the same simple scheme.
Yanofsky, Noson S.
core
Advanced Science, EarlyView.Direct orbital angular momentum (OAM) detection through the orbital photogalvanic effect offers a scalable route for integrated optoelectronics. This perspective evaluates symmetry‐driven material selection and demonstrates how electrode matrices enable the resolution of complex, mixed OAM modes.
Jinluo Cheng +5 more
wiley +1 more source
Fixed point theorems via Nash Equilibria [PDF]
In this note we show that the fixed points of a continuous function (or of an upper semi-continuous correspondence, with non-empty and convex values) can be attained as Nash Equilibria of a game with finitely many players.
Juan Pablo Torres-Martínez
core
Spintronic Bayesian Hardware Driven by Stochastic Magnetic Domain Wall Dynamics
Advanced Science, EarlyView.Magnetic Probabilistic Computing (MPC) utilizes intrinsic stochastic dynamics in domain walls to establish a hardware foundation for uncertainty‐aware artificial intelligence. Thermally driven domain‐wall fluctuations, voltage‐controlled magnetic anisotropy, and TMR readout enable fully electrical, tunable probabilistic inference.
Tianyi Wang +11 more
wiley +1 more source
Abstract and Applied Analysis, 2014 The aim of this paper is to obtain some new integral type fixed point theorems for nonself weakly compatible mappings in symmetric spaces satisfying generalized (ψ,φ)-contractive conditions employing the common limit range property.
Marwan Amin Kutbi +3 more
doaj +1 more source
Hierarchical Artificial Muscle with Nonlinear Elasticity for Antagonistic and Cyclic Robotics
Advanced Science, EarlyView.We construct hierarchical muscles by plying nylon fibers around a heating wire. The hierarchical muscle shows a J‐shaped passive curve, which shows benefit in antagonistic muscle pair and work accumulation mechanism. We also develop a computational, first‐principle model to understand the physics of both active actuation stroke and passive J‐curve ...
Samuel Tsai +15 more
wiley +1 more source