The Diffusion Equation (Part 1)
I derive and solve the diffusion equation.
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The Box-Muller Algorithm
I derive the Box-Muller algorithm and visualize the random samples that it produces.
Falling Rope on a Scale
I derive the force exerted by a falling rope on a scale. There are many variations of this problem involving chains, sand, string, etc.
Maximum Range of a Projectile
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.
Optical Levitation of a Cylinder
I derive the maximum mass of a cylinder that can be levitated by a laser beam of a certain power.
The No-Go Theorems of Quantum Information Theory (Part 3)
I finish my discussion of some of the no-go theorems in quantum information theory.
The No-Go Theorems of Quantum Information Theory (Part 2)
I continue my overview of the no-go theorems in quantum information theory.
The Equilibrium Point Around Two Point Charges
I calculate the point of no electric field and no electric force around two point charges with different signs and magnitudes.
The No-Go Theorems of Quantum Information Theory (Part 1)
I review the no-cloning theorem as well as some of the less well-known no-go theorems in quantum information theory.
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