Posts
Musings on science, math, engineering, and the environment.
Musings on science, math, engineering, and the environment.
We derive a dynamic model for the liquid level in a truncated square pyramidal tank when liquid flows in at a rate $q_i$ and is driven out of the tank by hydrostatic pressure.
Mushrooms have evolved a fascinating mechanism to discharge its spores.
Two point sets $A$ and $B$ are “misaligned”; the points in $A$ correspond to rotated points in $B$ (with some noise). How do we recover the proper rotation matrix to align the points?
Airlines overbook flights to maximize profits. But by how much should they overbook? Simulations can address this question!
Modeling the probability of a needle intersecting a line when randomly dropped on a floor exhibiting infinite, equally spaced parallel lines. Uses analytical, geometrical, and simulation approaches to find the probability of a needle intersecting a line on the floor.
Julia is a programming language designed for numerical computing, and it supports multiple dispatch and type hierarchies.
I am teaching Process Dynamics & Simulation this quarter, which is a prelude to process control. The class involves a lot of mathematics. When preparing a part of my lecture on Euler’s formula, I came across this quote by Richard Feynman. Because it resonated with me, I read the last part to my students during class, but replaced all references...
On the utility of toy models; kidney donations and porous materials with rotating ligands.
The freely jointed chain model captures much of the physics of a polymer. Here, we use statistical mechanics to derive a relationship between pulling force and end-to-end distance of a freely jointed chain. This is applicable to DNA unzipping experiments.