eigentaylor

blog posts by taylor

Why I Currently Only Support Approval

Why Approval voting is the only system I trust to push for right now.

41 min read · 2026

It's Time to Ditch RCV, Embrace Approval Voting

It has been tried, and it has failed. Ranked-choice voting must go before it poisons the well for all electoral reform.

31 min read · 2026

Why do we row reduce? What IS a matrix?

What does the RREF tell us, and why do we spend so much time on it? Why do we define matrix multiplication the way we do?

37 min read · 2024

The Alpha Method (Generalized Exponential Response Formula)

Easy particular solutions to nonhomoegenous constant coefficient linear differential equations with simple exponential/trigonometric forcing functions.

10 min read · January 04, 2021

2021 · best · differential-equations
Implicit Solutions to 2x2 Systems of First-Order Homogeneous Linear Differential Equations

Implicit and explicit solutions for all cases.

10 min read · December 20, 2020

2020 · systems-of-differential-equations · differential-equations
Exponentials of Symmetric Matrices Using the Spectral Theorem

yeah

4 min read · December 01, 2020

2020 · matrix-exponentials · linear-algebra
Constructing Systems of Nonlinear First-Order Differential Equations to Model Population Dynamics

Build a system with desired behavior.

2 min read · November 30, 2020

2020 · systems-of-differential-equations · differential-equations
A Different Perspective of Diagonalization

An (atttempt at an) intuitive approach to similar matrix decomposition.

4 min read · November 02, 2020

2020 · linear-algebra