This video analyzes a uniformly charged sphere using Gauss’s law. We walk through the symmetry arguments, choose the correct Gaussian surfaces, and derive the electric field both inside and outside ...

Random fields and Gaussian processes constitute fundamental frameworks in modern probability theory and spatial statistics, providing robust tools for modelling complex dependencies over space and ...

The Annals of Probability, Vol. 49, No. 1 (January 2021), pp. 287-321 (35 pages) Given a collection 𝓛 of n points on a sphere S n 2 of surface area n, a fair allocation is a partition of the sphere ...

In this video, we use Gauss’s law to find the electric field of a uniformly charged sphere. We derive the field both inside and outside the sphere, explain the symmetry behind the Gaussian surface ...