Landon Lehman
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The Distribution of Views of The Joe Rogan Experience
Elon Musk has been in the news recently, and when I saw that he appeared on The Joe Rogan Experience (JRE), I became curious about the …
Published on
May 10, 2020
2 min read
A Dice Probability Problem
Here is an interesting problem having to do with dice and probability. Take a normal, fair die. Instead of labeling the faces with the …
Published on
May 2, 2020
6 min read
Polynomial Interpolation
It is interesting to look at what happens when you try to “fit” the absolute value function using polynomials. Pick some …
Published on
Apr 27, 2020
2 min read
Another Parabola Construction
Building on my last post, here is another way to construct a parabola using a collection of straight lines. First, the description, …
Published on
Apr 19, 2020
2 min read
Constructing Parabolas with Mathematica
There are several ways to draw a parabola using straight lines. If you get a chance, you should try one sometime - it is always …
Published on
Apr 11, 2020
5 min read
A Quasiperiodic Counterexample
The problem Consider a function (f: [0, 1] \to \mathbb{R}) that is continuous with (f(0) = f(1)). It is possible to prove that for each …
Published on
Feb 16, 2020
4 min read
A Function Golf Challenge
“Code golf” is the practice of trying to solve a specific problem or implement a specific algorithm in the smallest …
Published on
Feb 2, 2020
6 min read
The Perfect Math Library Doesn't Exi-
## Warning: package 'ggplot2' was built under R version 4.3.3 ## Warning: package 'janitor' was built under R version 4.3.3 ## Warning: …
Published on
Nov 16, 2019
21 min read
Bootstrapping LOWESS
In chapter 1 of their 2016 book Computer Age Statistical Inference, Bradley Efron and Trevor Hastie use as an example a study of kidney …
Published on
Jul 28, 2019
7 min read
Bayesian Estimation of Multinomial Parameter Ratios
Consider a multinomial distribution with \(c\) categories and associated probabilities \(\pi_i\), where \(i = 1,...,c\). It is often …
Published on
Jul 14, 2019
8 min read
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