Posts
Musings on science, math, engineering, and the environment.
Musings on science, math, engineering, and the environment.
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 Eulerâ€™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.