Convolutions
These are quick notes on convolutions, their generalizations, and their relationship to Fourier transforms.
Posts by Category
Math
Coordinates
Coordinates. A word so common that I rarely (perhaps never) consider how it is defined. In the following I browse common definitions & their ambiguity, p...
Identity Elements for Binary Operations
One of my first exposures to the art of proof was proving the uniqueness of the additive identity. At the convergence of thoughts about algebraic structures ...
Quotients of Algebraic Structures
I recently started a review of Abstract Algebra with primary focus on Groups. This resulted in a deeper dive into the properties of quotients and Normal sub...
Statistics
Statistical Inference on the Circle
This is a mathematical digression into statistical inference on the circle. This is motivated by a strange mix of things :
Notation in Statistics
Notation is powerful
ML
State Space Modeling - Kalman Filter
State Space Modeling
Software Eng
Bash Arg Parsing
As much as I prefer nearly any other language to Bash (or other Shell scripting) time and again I find myself scripting in Bash.
Physics
Spectrum of Bianchi I in Loop Quantum Cosmology
A nearly complete fragment of a paper on Loop Quantum Cosmology identifying a simple form of Hamiltonian constraint operator for Bianchi I.
Fun
Editing Binary Data : Gran Turismo 2
Topics: Tools for analyzing and modifying binary files. (cmp, dd, xxd) Inferring the format of binary files.
Math Notation
Function Notation : Evaluation
“What is the most efficient notation?” is a recurring question when I read math, machine learning, or other technical publications. Which is followed by the ...