List: Math | Curated by Simon Kwan

Mar 1, 2025
115 stories
Math
Grant Smith
A Few Technical Notes on Test FunctionsGiven that we understand distributions, and that they’re useful because we are now evaluating functions at functions instead of at points…
May 17, 2022
May 17, 2022
Grant Smith
Test Function IntegrationWe know that test functions are differentiable to any order. And that makes it seem like they should be integrable to any order, but that…
May 18, 2022
May 18, 2022
Grant Smith
Why Distribution Theory?Distribution Theory (or Schwartz Distributions, or Generalized Functions) can be pretty hard to grasp, but if we take a step back and think…
May 17, 2022
May 17, 2022
Agrover112
PageRank and Banach’s Fixed Point TheoremI wrote this blog as a question that popped into my head during a lecture on PageRank where I couldn’t quite understand how convergence of…
Jul 22, 2024
Jul 22, 2024
Frank Mangone
Elliptic Curves In-Depth (Part 1)A (kinda) gentle intro to elliptic curves.
Jan 14
2
Jan 14
2
Joseph Mellor
Ideals, Quotient Rings, and FieldsLet's take a formal approach to finite fields using ideals and quotient rings.
Jan 3
2
Jan 3
2
Frank Mangone
Cryptography 101: PolynomialsPolynomials play an important role in many cryptographic applications. This article is dedicated to giving a brief intro to the topic.
Apr 24, 2024
Apr 24, 2024
In
ASecuritySite: When Bob Met Alice
by
Prof Bill Buchanan OBE FRSE
Goodbye RSA and ECC, And Hello To Polynomial Rings (X^N+1)And so the era of RSA and ECC will come to an end within the next decade or so. While they have served us well, the advent of quantum…
May 31, 2021
1
May 31, 2021
1
Garrett Mills
Adventures in AI-assisted proof generationOr: ChatGPT eats the world, formal-methods style
Mar 20, 2023
Mar 20, 2023
In
Science Spectrum
by
Harlan J. Brothers
String Theory and Pi?An unexpected result in number theory makes a surprising appearance in a pure physics paper
Sep 17, 2024
6
Sep 17, 2024
6
In
Intuition
by
Selena Routley
Mathematics is Highly Refined LiteracyThe surprising overarching structure of norms affords quadratic forms and Pythagoras’s theorem a surprising, powerful universality in…
Aug 23, 2024
5
Aug 23, 2024
5
Tiago Veríssimo
Journey to Algebraic GeometryWhat is Algebraic Geometry ?
Aug 18, 2024
Aug 18, 2024
Gregory Betti
Bridging the Gap: Translating Fractal Mathematics into Algebraic GeometryAbstract:
Sep 9, 2023
Sep 9, 2023
Rajarshi Dey
ALGEBRAIC GEOMETRY“The introduction of the digit 0 or the group concept was general nonsense too, and mathematics was more or less stagnating for thousands…
Sep 17, 2021
Sep 17, 2021
i
What is an algebraic variety?It’s the answers to an equation.
Mar 19, 2015
Mar 19, 2015
Ericson Willians
Exploring the Convergence of Category Theory and Machine LearningIn the expansive realm of computational sciences, an intriguing convergence is unfolding between the abstract world of Category Theory and…
Mar 30, 2024
Mar 30, 2024
In
Cantor’s Paradise
by
Tom Darlington
Making Sense of Green’s FunctionsAnd what they mean in physics.
Jun 22, 2024
3
Jun 22, 2024
3
Simon Kwan
Hahn-Banach theoremThis is article on the Hahn-Banach theorem. I write this article down to serve both as a note for me as well as a tutorial for the…
May 14, 2024
May 14, 2024
In
Cantor’s Paradise
by
Tom Darlington
Fourier transforms, delta functions, and big damn lensesWhat makes a camera lens give better or worse resolution? The answer is in the size.
May 30, 2024
6
May 30, 2024
6
Mathcube
Spectral Interpolation In PythonYour Daily Dose of Scientific Python
May 24, 2024
May 24, 2024