#### The Box-Muller Algorithm

I derive the Box-Muller algorithm and visualize the random samples that it produces.

I derive the Box-Muller algorithm and visualize the random samples that it produces.

I derive the force exerted by a falling rope on a scale. There are many variations of this problem involving chains, sand, string, etc.

I derive an expression for the horizontal distance traveled by a projectile as a function of angle. I then compare the distance traveled by a projectile launched on a flat surface versus one launched off of a cliff.

I derive the maximum mass of a cylinder that can be levitated by a laser beam of a certain power.

I finish my discussion of some of the no-go theorems in quantum information theory.

I continue my overview of the no-go theorems in quantum information theory.

I calculate the point of no electric field and no electric force around two point charges with different signs and magnitudes.

I review the no-cloning theorem as well as some of the less well-known no-go theorems in quantum information theory.

I derive the expression for the centripetal force on a particle moving with uniform circular motion.

I derive the electric field around a thin, charged spherical shell using Coulomb's law.