Pattern Formation in Non‐Equilibrium Architected Materials
Advanced Materials Technologies, EarlyView.This article demonstrates an artificial mechanical system ‐ a robotic metamaterial ‐ as an accessible and versatile platform within which to explore and prescribe the reaction‐diffusion driven pattern formation hitherto associated with comparatively less accessible and versatile non‐equilibrium biological and chemical systems.
Vinod Ramakrishnan, Michael J. Frazier
wiley +1 more source
Computing the permanental polynomial of 4k-intercyclic bipartite graphs
The American Journal of CombinatoricsLet \(G\) be a bipartite graph with adjacency matrix \(A(G)\). The characteristic polynomial \(\phi(G,x)=\det(xI-A(G))\) and the permanental polynomial \(\pi(G,x) = \operatorname{per}(xI-A(G))\) are both graph invariants used to distinguish graphs.
Ravindra Bapat +2 more
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Fast and stable computation of higher-order Hahn polynomials and Hahn moment invariants for signal and image analysis [PDF]
, 2021 Achraf Daoui +3 more
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Advanced Materials Technologies, EarlyView.This study explores how machine learning models, trained on small experimental datasets obtained via Phase Doppler Anemometry (PDA), can accurately predict droplet size (D32) in ultrasonic spray coating (USSC). By capturing the influence of ink complexity (solvent, polymer, nanoparticles), power, and flow rate, the model enables precise droplet control
Pieter Verding +5 more
wiley +1 more source
Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real-World Data. [PDF]
Adv Intell DiscovThis article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Ren Y, Wei GW.
europepmc +2 more sources
Passive Shape‐Adaptive Fluidic Interface for Enhanced Skin‐Sensor Coupling in Wearable Devices
Advanced Materials Technologies, EarlyView.This study presents a passive fluidic interface for wearable biosensors that adapts to static and dynamic body shape changes to maintain consistent skin contact. Flexible, fluid‐filled pouches redistribute pressure from high‐load areas to regions requiring improved contact, enhancing signal quality and comfort in a compact, low‐energy design for ...
Natalia Sanchez‐Tamayo +6 more
wiley +1 more source
Permutation invariant Gaussian matrix models
Nuclear Physics B, 2019 Permutation invariant Gaussian matrix models were recently developed for applications in computational linguistics. A 5-parameter family of models was solved.
Sanjaye Ramgoolam
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Modifications of Tutte–Grothendieck invariants and Tutte polynomials [PDF]
, 2018 Martin Kochol
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Permutation-Invariant-Polynomial Neural-Network-based Δ-Machine Learn-ing Approach: A Case for the HO2 Self-reaction and its Dynamics Study [PDF]
, 2022 Yang Liu, Jun Li
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Advanced Materials Technologies, EarlyView.Flexible sweat sensor patch integrating graphene‑interfaced gold microelectrodes functionalized with bio‑receptors and ion‑selective membrane, coupled with a capillary‑driven microfluidic layer and portable potentiostat electronics for multiplexed monitoring of inflammatory, metabolic, and electrolyte biomarkers in microliter sweat volumes.
Roomia Memon +4 more
wiley +1 more source