Results 101 to 110 of about 276,684 (327)
FMint is introduced as a multi‐modal foundation model that integrates human‐designed solvers and data‐driven methods for fast, accurate simulation of dynamical systems. FMint leverages in‐context learning within a transformer‐based framework to refine coarse numerical solutions.
Zezheng Song, Jiaxin Yuan, Haizhao Yang
wiley +1 more source
Integration-by-parts reductions of Feynman integrals using Singular and GPI-Space
We introduce an algebro-geometrically motived integration-by-parts (IBP) re- duction method for multi-loop and multi-scale Feynman integrals, using a framework for massively parallel computations in computer algebra.
Dominik Bendle+7 more
doaj +1 more source
Biadjoint scalars and associahedra from residues of generalized amplitudes
In the Grassmannian formulation of the S-matrix for planar N $$ \mathcal{N} $$ = 4 Super Yang-Mills, N k−2 MHV scattering amplitudes for k negative and n − k positive helicity gluons can be expressed, by an application of the global residue theorem, as a
Freddy Cachazo, Nick Early
doaj +1 more source
An algebraic approach to minimal models in CFTs [PDF]
CFTs are naturally defined on Riemann surfaces. The rational ones can be solved using methods from algebraic geometry. One particular feature is the covariance of the partition function under the mapping class group.
Leitner, Marianne
core +1 more source
Label‐Free 3D Photoacoustic Imaging of Tumor Organoids for Volumetric Drug Screening
A label‐free organoid photoacoustic imaging (LFOPI) system is developed for precise volumetric drug screening evaluation. As a proof of concept, LFOPI's performance in chemotherapy and immunotherapy drug screening assays are further evaluated. The LFOPI offers unique non‐invasive, label‐free capabilities for tumor organoids, and contributes to the ...
Xiaofei Luo+18 more
wiley +1 more source
Positive geometries and differential forms with non-logarithmic singularities. Part I
Positive geometries encode the physics of scattering amplitudes in flat space- time and the wavefunction of the universe in cosmology for a large class of models.
Paolo Benincasa, Matteo Parisi
doaj +1 more source
An extremely rare type of organic biluminescent emission is reported that consists of delayed emission resulting from both the fluorescence (multi‐resonance thermally activated delayed fluorescence) and phosphorescence spectra at room temperature, and the lifetimes of the two processes exhibit opposing dependence with temperature.
Oliver S. Lee+5 more
wiley +1 more source
The positive geometry for 𝜙 p interactions
Starting with the seminal work of Arkani-Hamed et al. [1], in [2], the “Ampli- tuhedron program” was extended to analyzing (planar) amplitudes in massless 𝜙 4 theory.
Prashanth Raman
doaj +1 more source
Hypergeometric series representations of Feynman integrals by GKZ hypergeometric systems
We show that almost all Feynman integrals as well as their coefficients in a Laurent series in dimensional regularization can be written in terms of Horn hypergeometric functions.
René Pascal Klausen
doaj +1 more source
Topics in algebra, geometry and differential equations
The study of differential equations and the study of algebraic geometry are two disciplines within mathematics that seem to be mostly disjoint from each other. Looking deeper, however, one finds that connections do exist. This thesis gives in four chapters four examples of interesting mathematical insights that can be gained from combining the concepts
openaire +2 more sources