My name is [Robert] Nate Crummett.
I am a geophysics PhD student at the Colorado School of Mines. Currently I am fascinated by computers, math, and mineral exploration. I started at Mines after two years of field work for Zonge. My goal is to produce simple, effective solutions to complicated engineering problems in the mineral exploration landscape.
Email robertcrummett@robertcrummett.com
Social https://www.linkedin.com/in/robert-crummett
Coordinate Transformations — First Order Systems of ODEs Posted
Physical patterns emerge transforming coordinates of ODEs.
Proof of Young's inequality Posted
A short and sweet proof of Young's inequality.
Probability Theory — Coupling Posted
A basic introduction to coupling, with an eye toward Markov processes and optimal transport.
Rotated Coordinate Reference Systems Posted
How to create rotated coordinate reference systems in proj or WKT formats.
Associated Legendre Function Conventions Posted
Discussion of alf conventions. Small implementation of fully-normalized, ultra high degree and order alf's.
Fast Fourier Transform Posted
Small implementation of the Fast Fourier Transform.
Probability Theory — A Random Thought Regarding Change of Variables Posted
The change of variables formulas is a practical tool to remove codebase complexity.
Reformatting USB Drive Posted
Lessons I learned while reformatting a USB drive.
Monotone Convergence Theorem Posted
A brief overview of Lebesgue's famous monotone convergence theorem.
The Singular Value Decomposition Posted
Basic interpretation and results concerning the singular value decomposition.
Counting Tensor Components Posted
Using the Schur-Weyl decomposition to count tensor components.
Obfuscate Program Posted
C++ program to format text files for HTML.
Probability Theory — Convergence Program Posted
C program demonstrating convergence in probability.
Probability Theory — Markov's Inequality Posted
An upper bound for non-negative functions of random variables.
Probability Theory — Convergence Posted
Random variables can converge to each other in different ways.
Limit Superior and Limit Inferior Posted
I always confuse these in my head. So time to write about them!
Convex Functions Posted
Brief coverage of convex functions.
Probability Theory — Algebras Posted
Simple results concerning algebras.