Thank you for visiting nature.com. You are using a browser version with limited support for CSS. To obtain
the best experience, we recommend you use a more up to date browser (or turn off compatibility mode in
Internet Explorer). In the meantime, to ensure continued support, we are displaying the site without styles
and JavaScript.
Applied mathematics is the application of mathematical techniques to describe real-world systems and solve technologically relevant problems. This can include the mechanics of a moving body, the statistics governing the atoms in a gas or developing more efficient algorithms for computational analysis. These ideas are closely linked with those of theoretical physics.
This manuscript provides a robust and comprehensive oxygen concentration control strategy using Kriging to Kolmogorov-Arnold Networks, determining feasible concentration ranges and optimal values to support the safe operation of Lead-based Fast Reactors (LFR).
From monitoring sea-level changes at the millimetre-level to navigating through the streets of Gothenburg, Karine Le Bail discusses the need for precise positioning within well-defined 3D terrestrial and celestial reference frames.
Inspired by the morphologies of xeric plant leaves, we have developed biomimetic liquid crystal elastomer bilayers that can bend, spiral and twist. These adaptive shape morphing structures can twist to improve water collection efficiency and wind resistance, suggesting their potential application in adaptive water collection and directional transportation.
We introduce free-energy machine (FEM), an efficient and general method for solving combinatorial optimization problems. FEM combines free-energy minimization from statistical physics with gradient-based optimization techniques in machine learning and utilizes parallel computation, outperforming state-of-the-art algorithms and showcasing the synergy of merging statistical physics with machine learning.
