Results 21 to 30 of about 1,352,066 (287)

The foundations of spectral computations via the Solvability Complexity Index hierarchy [PDF]

Journal of the European Mathematical Society (Print), 2019
The problem of computing spectra of operators is arguably one of the most investigated areas of computational mathematics. Recent progress and the current paper reveal that, unlike the finite-dimensional case, infinite-dimensional problems yield a highly
Matthew J. Colbrook, A. Hansen
semanticscholar   +1 more source

The power of microRNA regulation—insights into immunity and metabolism

FEBS Letters, EarlyView.
MicroRNAs are emerging as crucial regulators at the intersection of metabolism and immunity. This review examines how miRNAs coordinate glucose and lipid metabolism while simultaneously modulating T‐cell development and immune responses. Moreover, it highlights how cutting‐edge artificial intelligence applications can identify miRNA biomarkers ...
Stefania Oliveto, Nicola Manfrini, Stefano Biffo   +2 more
wiley   +1 more source

On the history of the isomorphism problem of dynamical systems with special regard to von Neumann's contribution [PDF]

, 2011
This paper reviews some major episodes in the history of the spatial isomorphism problem of dynamical systems theory (ergodic theory). In particular, by analysing, both systematically and in historical context, a hitherto unpublished letter written in ...
Redei, Miklos, Werndl, Charlotte
core   +4 more sources

Data‐driven forecasting of ship motions in waves using machine learning and dynamic mode decomposition

International Journal of Adaptive Control and Signal Processing, EarlyView.
Summary Data‐driven forecasting of ship motions in waves is investigated through feedforward and recurrent neural networks as well as dynamic mode decomposition. The goal is to predict future ship motion variables based on past data collected on the field, using equation‐free approaches.
Matteo Diez, Mauro Gaggero, Andrea Serani   +2 more
wiley   +1 more source

Experimental Mathematics and Mathematical Physics [PDF]

Contemp. Math. 517 (Amer. Math. Soc., 2010), 41--58, 2010
One of the most effective techniques of experimental mathematics is to compute mathematical entities such as integrals, series or limits to high precision, then attempt to recognize the resulting numerical values. Recently these techniques have been applied with great success to problems in mathematical physics. Notable among these applications are the
arxiv   +1 more source

Bridging Nature and Technology: A Perspective on Role of Machine Learning in Bioinspired Ceramics

Advanced Engineering Materials, EarlyView.
Machine learning (ML) is revolutionizing the development of bioinspired ceramics. This article investigates how ML can be used to design new ceramic materials with exceptional performance, inspired by the structures found in nature. The research highlights how ML can predict material properties, optimize designs, and create advanced models to unlock a ...
Hamidreza Yazdani Sarvestani, Aditi Singh, Behnam Ashrafi   +2 more
wiley   +1 more source

The T-algebra spectral sequence: Comparisons and applications [PDF]

, 2014
In previous work with Niles Johnson the author constructed a spectral sequence for computing homotopy groups of spaces of maps between structured objects such as G-spaces and E_n-ring spectra.
Noel, Justin
core   +1 more source

On the Rigidity and Mechanical Behavior of Triply Periodic Minimal Surfaces‐Based Lattices: Insights from Extensive Experiments and Simulations

Advanced Engineering Materials, EarlyView.
This study examines the mechanical properties of triply periodic minimal surfaces (TPMS)‐based lattices, analyzing 36 architectures in elastic and plastic regimes. It evaluates the applicability of beam‐based scaling laws to TPMS lattices. Rigidity arises from the alignment of members with the load direction and solid regions preventing rotation.
Lucía Doyle, Humberto Terrones, Carlos González   +2 more
wiley   +1 more source

Some problems in mathematics and mathematical physics [PDF]

arXiv, 2020
We discuss new approaches to fundamental problems of mathematics and mathematical physics such as mathematical foundation of quantum field theory, the Riemann hypothesis, and construction of noncommutative algebraic geometry.
arxiv  

Lectures on Duflo isomorphisms in Lie algebra and complex geometry

, 2011
International audienceDuflo isomorphism first appeared in Lie theory and representation theory. It is an isomorphism between invariant polynomials of a Lie algebra and the center of its universal enveloping algebra, generalizing the pioneering work of ...
Calaque, D., Rossi, C.
core   +2 more sources