C#2

07 May, 2025

STOP DOING SPECTRAL DIFFERENTIATION

• MATRICES WERE NEVER MEANT TO DIFFERENTIATE ANYTHING

• YEARS OF POLYNOMIALS yet NO REAL-WORLD PROBLEM EVER SOLVED without just guessing a polynomial degree first

• Decided you wanted HIGHER ACCURACY? Sure, just pick $N=1000$. Now your condition number is ${10}^{9999}$, congratulations.

• "Yes, please give me EIGENVALUES. No, I want INFINITE accuracy." — Statements made exclusively by the utterly Deranged

LOOK at what spectral methods have forced you into accepting as "real math":

(This is REAL spectral differentiation, done by REAL mathematicians):

[📉❓❓❓] [📊🤔🤔🤔❓❓❓] [📐🧐🧐🧐❓❓❓❓❓❓❓❓❓❓]

“Hello, I'd like the solution to $u^{″}-\lambda u=0$, please”

They've played us for absolute fools

#copypasta