Results 101 to 110 of about 688 (217)

Tensor Operational Mathematics and Tensor Meta-Operational Mathematics:A Rigorous Extension of Iteration Counts and Meta-Operations to Multilinear Algebra

This two-part treatise rigorously extends the frameworks of Operational Mathematics and Meta-Operational Mathematics to the domain of tensor algebra and multilinear maps. In Part I, we systematically generalize the notion of iteration count—the number of times an operation is applied—from natural numbers to integers, rationals, reals, and complex ...
openaire   +1 more source

A Detailed and Comprehensive Account of Fractional Physics‐Informed Neural Networks: From Implementation to Efficiency

Artificial Intelligence for Engineering, EarlyView.
Caputo‐based fPINNs accurately solve fractional ODEs and PDEs while exposing an accuracy–cost trade‐off driven by the history‐dependent fractional derivative. Temporal collocation and shorter time windows are the most effective strategies for improving early‐time accuracy without unnecessary spatial refinement.
Donya Dabiri, Joshua DaRosa, Milad Saadat, Deepak Mangal, Safa Jamali   +4 more
wiley   +1 more source

Classification of dynamical Lie algebras of 2-local spin systems on linear, circular and fully connected topologies. [PDF]

npj Quantum Inf
Wiersema R, Kökcü E, Kemper AF, Bakalov BN.   +3 more
europepmc   +1 more source

Prospective Middle School Mathematics Teachers’ Awareness of Students’ Errors regarding the Use of Letters in Algebra and Algebraic Operations [PDF]

Journal of Qualitative Research in Education, 2019
Rabiya Amaç, Makbule Gözde Didiş Kabar   +1 more
openaire   +1 more source

Lossless and Lossy Characterization of the State of Perturbed Anharmonic Diatomics: An Information-Theoretic Compaction of Quantum Dynamics. [PDF]

J Chem Theory Comput
Hamilton JR, Levine RD.
europepmc   +1 more source

H2CD: Semantic‐Enhanced Heterogeneous Hypergraph Network With Large Language Model for Cognitive Diagnosis

CAAI Transactions on Intelligence Technology, EarlyView.
ABSTRACT Cognitive diagnosis aims to infer learners' knowledge states from their exercise responses, enabling personalised education at scale. Existing methods represent exercises solely by coarse‐grained knowledge component annotations, overlooking semantic content and step‐level cognitive processes.
Youheng Bai, Zitao Liu, Mingliang Hou, Teng Guo, Weiqi Luo   +4 more
wiley   +1 more source

The Eisenstein ideal at prime-square level has constant rank. [PDF]

Proc Natl Acad Sci U S A
Lang J, Wake P.
europepmc   +1 more source

Zero‐Current Switching Based Model Predictive Control of a Double‐Extended Overlapped Alternate Arm Converter Used in the VSC–HVDC System

High Voltage, EarlyView.
ABSTRACT The alternate arm converter (AAC) is one of the most efficient multilevel topologies based on voltage source converters (VSCs), which has recently gained attention in various applications, particularly in high voltage direct current (HVDC) systems.
Ehsan Akbari, Milad Samady Shadlu
wiley   +1 more source

Canonicalizing Zeta Generators: Genus Zero and Genus One. [PDF]

Commun Math Phys
Dorigoni D, Doroudiani M, Drewitt J, Hidding M, Kleinschmidt A, Schlotterer O, Schneps L, Verbeek B.   +7 more
europepmc   +1 more source

Uncovering hidden bias in neutron diffraction residual strain measurements

Journal of Applied Crystallography, EarlyView.
This work demonstrates that diffraction‐based residual strain calculations and uncertainty estimates depend on how grain populations are sub‐sampled, with important implications for interpreting residual stresses in heterogeneous materials with fine‐scale microstructure and strain gradients.When calculating residual strain via neutron or X‐ray ...
Cole Franz, Michael Prime, Jeffrey Bunn, Andrew Payzant, Katharine Page   +4 more
wiley   +1 more source