Results 51 to 60 of about 2,562,424 (201)

Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real‐World Data

Advanced Intelligent Discovery, EarlyView.
This 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 ...
Yiming Ren, Guo‐Wei Wei
wiley   +1 more source

Artificial Intelligence for Advanced Functional Materials: Progress and Emerging Frontiers

Advanced Intelligent Systems, EarlyView.
Artificial intelligence is transforming the discovery of functional materials by linking synthesis, characterization, simulation, and design in unified workflows. Advances in machine learning, autonomous experimentation, and foundation models are accelerating innovation across energy, electronics, and biomedicine, while revealing new frontiers for ...
Cristiano Malica, Kostya S. Novoselov, Seongmin Kim, Yousung Jung, Silvana Botti, Miguel A. L. Marques, Tigany Zarrouk, Miguel A. Caro, Sanggyu Chong, Michele Ceriotti, Marivi Fernandez‐Serra, Sara Navarro‐Rodriguez, Aakash Ashok Naik, Janine George, Ömer Hasan Omar, Victor Trinquet, Gian‐Marco Rignanese, Andrey Ustyuzhanin, Sonia Conesa‐Boj, Juan Rojo, Minh‐Tuan Dau, Simon M.‐M. Dubois, Jean‐Christophe Charlier, Jose H. Garcia, Romain Gautier, Rachid Laref, Junfeng Qiao, Giovanni Pizzi, Nicola Marzari, Camilla Coletti, Antonio Rossi, Jan‐Lucas Uslu, Chiara Zanardi, Vincenzo Palermo, Wide Hogenhout, Natalia Konchakova, Peter Klein, Tejs Vegge, Stephan Roche   +38 more
wiley   +1 more source

Noncommutative Quantum Dynamics for Feature Representation Learning

IEEE Access
We propose an explicit feature representation for supervised learning derived from short quantum dynamical trajectories composed of generally noncommuting operations, conceptually inspired by reservoir computing in that fixed, untrained dynamics are ...
Hirokazu Shimauchi
doaj   +1 more source

Compact Manifolds With Unbounded Nilpotent Fundamental Groups and Positive Ricci Curvature

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT It follows from the work of Kapovitch and Wilking that a closed manifold with nonnegative Ricci curvature has a uniformly almost nilpotent fundamental group. Leftover questions and conjectures, have asked if in this context the fundamental group is actually uniformly almost abelian. The main goal of this work is to construct examples (Mk9,gk)$(
Elia Bruè, Aaron Naber, Daniele Semola
wiley   +1 more source

Musical Chemistry and Spectroscopy: Analogies Bridging Two Worlds in Multiple Dimensions

Helvetica Chimica Acta, EarlyView.
Music and spectroscopy speak the same language: that of fluctuations, line shapes, and ensembles. Herein, we establish useful analogies between music, chemistry, and spectroscopy, extending even to multidimensional and time‐resolved spectroscopies, with a mathematically‐grounded derivation and motivation.
Ricardo J. Fernández‐Terán
wiley   +1 more source

The Perfect Score Function and Optimized Weighted Geometric Operator for Ranking Single-Valued Neutrosophic Numbers in the Decision-Making Process

Journal of Mathematics
The single-valued neutrosophic set (SVNS) is a more common platform for representing the degree of truth, indeterminacy, and falsity memberships.
R. V. Jaikumar, Sundareswaran Raman, Ammar Alsinai, Shanmugapriya Marayanagaraj   +3 more
doaj   +1 more source

Hilbert's Basis Theorem for Poisson Ore Extensions

Mathematische Nachrichten, EarlyView.
ABSTRACT We prove an analogue of Hilbert's basis theorem for Poisson Ore extensions and Poisson Laurent Ore extensions. We also obtain corresponding results for iterated Poisson Ore extensions and iterated Poisson Laurent Ore extensions associated to commuting Poisson‐pairs.
Per Bäck, Patrik Lundström, Johan Öinert, Johan Richter   +3 more
wiley   +1 more source

Grothendieck and ℓ∞$\ell _\infty$‐Grothendieck Subspaces of ℓ∞$\ell _\infty$

Mathematische Nachrichten, EarlyView.
ABSTRACT Let c=2ℵ0$\mathfrak {c}=2^{\aleph _0}$. We prove that ℓ∞$\ell _\infty$ contains 2c$2^{\mathfrak {c}}$ pairwise non‐isomorphic non‐reflexive Grothendieck subspaces. They may all be chosen to contain the canonical copy of c0$c_0$ and to have an infinite‐dimensional reflexive quotient. This is optimal and answers Problem 24 of González and Kania [
Manuel González, Tomasz Kania
wiley   +1 more source

A generalization on the nth commutativity degree of alternating groups of degree 4 and 5

, 2016
The theory of commutativity degree is important in determining the abelianness of a group. The commutativity degree of a finite group G is the probability that a pair of elements chosen randomly from a group G, commute.
Sarmin, Nor Haniza, Sarmin, N.H., Rhani, N.A., Ali, N.M.M., Abd Rhani, Norarida, Mohd Ali, Nor Muhainiah   +5 more
core   +1 more source

An Innovative Approach to Multi‐Valued Logic

IEEJ Transactions on Electrical and Electronic Engineering, EarlyView.
The current generation of computer systems operates on the principles of binary logic, which encompasses both logical and arithmetic operations. However, silicon technology has reached its peak performance, prompting researchers to explore alternative methods for enhancing computational efficiency. One such method is the adoption of Multi‐Valued Logic (
Ali Mokhtari, Peyman Kabiri
wiley   +1 more source