A Perspective on Interactive Theorem Provers in Physics
Into an interactive theorem provers (ITPs), one can write mathematical definitions, theorems and proofs, and the correctness of those results is automatically checked. This perspective goes over the best usage of ITPs within physics and motivates the open‐source community run project PhysLean, the aim of which is to be a library for digitalized physics
Joseph Tooby‐Smith
wiley +1 more source
The utility of the <i>Attitudes Toward Mathematics Inventory</i>-<i>Short Form for Children</i> for assessing attitudes toward mathematics in primary school children. [PDF]
Di Leonardo L +3 more
europepmc +1 more source
Number Theory and the Queen of Mathematics
openaire +2 more sources
This study presents a transferable modeling framework for carbon capture using aluminosilicates, integrating Universal Isotherm Modeling with experimental data. It reveals how ultramicropores, alumina content, and amine functionalization influence CO2 adsorption energetics.
Pooja Anil Kumar Nair +4 more
wiley +1 more source
A comparative framework for convergence analysis of perturbation series techniques in nonlinear fractional quadratic differential equations. [PDF]
Hashim DJ.
europepmc +1 more source
Solid Harmonic Wavelet Bispectrum for Image Analysis
The Solid Harmonic Wavelet Bispectrum (SHWB), a rotation‐ and translation‐invariant descriptor that captures higher‐order (phase) correlations in signals, is introduced. Combining wavelet scattering, bispectral analysis, and group theory, SHWB achieves interpretable, data‐efficient representations and demonstrates competitive performance across texture,
Alex Brown +3 more
wiley +1 more source
Physical Origin of Temperature Induced Activation Energy Switching in Electrically Conductive Cement
The temperature‐induced Arrhenius activation energy switching phenomenon of electrical conduction in electrically conductive cement originates from structural degradation within the biphasic ionic‐electronic conduction architecture and shows percolation‐governed characteristics: pore network opening dominates the low‐percolation regime with downward ...
Jiacheng Zhang +7 more
wiley +1 more source
Simulation based new method for population variance using auxiliary information. [PDF]
Ahmadini AAH +5 more
europepmc +1 more source
Photon‐Sphere Modes in Curved Optical Microcavities: A Black‐Hole Analogue Laser
An optical analogue of a Schwarzschild black hole is realized using curved microcavities that preserve light‐like geodesics. A new family of laser modes confined around the photon sphere is identified alongside conventional whispering‐gallery modes. Analytical theory, numerical simulations, and experiments reveal curvature‐induced confinement, enabling
Chenni Xu +9 more
wiley +1 more source
Reliability analysis of horseshoe tunnels by radial-based importance sampling method based on complex function displacement solution. [PDF]
Rong Y +5 more
europepmc +1 more source

