Nyström's method with the trapezoidal rule, and the Fourier method, produce the same approximation to the solution of an integral equation at the collocation points ...

Black holes are among the most extreme objects in the universe, and now scientists can model them more accurately than ever ...

This study presents SynaptoGen, a differentiable extension of connectome models that links gene expression, protein-protein interaction probabilities, synaptic multiplicity, and synaptic weights, and ...

When the church was built, Gallaway had commissioned a local craftsman to build the “iconostase,” another required feature of ...

This important study provides a detailed analysis of the transcriptional landscape of the mouse hippocampus in the context of various physiological states. The main conclusions have solid support: ...

I’ve always been interested in the tradeoffs that designers make when defining topologies and selecting components for a ...

After decades of steady progress, computational astrophysicists have reached a major turning point in black hole research. A new study presents the ...

Abstract: This work discusses approximate evaluations of some types of integrals arising in electromagnetic problems. An integral can be transformed into a divergent asymptotic series by replacing the ...

For four decades, a quiet boundary in pure mathematics kept a powerful theorem locked inside the safe world of finite quantities. Now a new result known as Sebestyen’s theorem has pushed that boundary ...

Background The likelihood of HIV acquisition is increased following forced vaginal sex. This relates in part to ...

Superconductors sit at the heart of some of the most ambitious technologies on the horizon, from lossless power grids to ...

Abstract: Motivated by the problem of developing accurate and stable time-stepping methods for the single-layer potential equation for acoustic scattering from a surface, we present new convergence ...