We study $4d$ $\mathcal{N}=1$ gauge theories engineered via D-branes at orientifolds of toric singularities, where anomalies are cancelled without the introduction non-compact flavor branes. Using dimer model techniques, we derive geometric criteria for establishing whether a given singularity can admit anomaly-free D-brane configurations purely based on its data and type orientifold projection...

Three different deep learning models were designed in this paper, to predict the electric fields of single nanoparticles, dimers, and nanoparticle arrays. For prediction error was 4.4%. dimers with strong couplings, a sample self-normalization method proposed, reduced by an order magnitude compared traditional methods. arrays, from 28.8% 5.6% previous work. Numerical tests proved validity propo...

Alkyl esters of hydroxycinnamic acids and vanillin derivatives were used as model compounds in the oxidative coupling reactions catalyzed by a crude enzymatic extract Raphanus sativus var (red radish). Six products isolated characterized: three alkyl dimers vanilloids dimers. Herein, we report var. showed peroxidase activity catalyzing phenols. Vanilloid coupled an ortho-ortho way expected, whi...