cpp_frog
The Quadratic Sandwich
Using calculus to do number theory
The Riemann hypothesis (or, how to earn $1M)
He left HN unfortunately, he might be too brash for this site (or this place is too wimpy for him).
Iterative DFS with stack-based graph traversal
Ten Digit Problems (2011) [pdf]
EDIT: grammar
Revisiting the Classics: Jensen's Inequality
I am doing an experiment in memory and trying to memorize the name of every U.S. county, with the aid of a map. Several months in I can say that the brain inexorably will tie names together (wether by geographical proximity or etymology, e.g. Imperial-Riverside-San Diego or Redwood-Greenwood), and the addition of new names affects the perception of the ones before, or the perception of words which happen to be county names. I could write an entire essay on the limits of memory, but it would hardly be better than Jorge Luis Borges's story Funes, the memorius.
For anyone curious I can name 80% of U.S. counties with the aid of a blank map, and my geographic intuition has improved greatly. Every county (and county name) has a history attached to it, and sometimes when someone tells me where they grew up, I can guess their ancestry more or less, especially if they come from rural areas. It surprises them, sometimes even more when they know I'm not american.
Data Structures as Topological Spaces (2002) [pdf]
[0] https://www.google.com/maps/place/Lord+Cochrane+1-99,+Santia...
[1] https://www.memoriachilena.gob.cl/602/w3-article-726.html (documents, images and more)
Voronoi Diagram and Delaunay Triangulation in O(nlog(n)) (2020)
Chess and solution pool with linear programming (2018)
[0] https://aviation.stackexchange.com/questions/36853/do-safety...
Exposition of a New Theory on the Measurement of Risk (1738) [pdf]
Thinking Fast and Slopes
Spitznagel: The ‘greatest credit bubble in human history’ is set to pop
Are Horseshoe Crabs Endangered? Conservation Status and Threats (2022)
The Matrix Calculus You Need for Deep Learning
Assembler on Raspberry Pi
[0] Table of Integrals, Series, and Products, Gradshteyn & Ryzhik.
[1] Special Integrals of Gradshteyn and Ryzhik, Vols. I and II, Moll for some proofs of the above.
[2] Handbook of Integral Equations, Polyanin & Manzhirov.
[4] Scalar, Vector, and Matrix Mathematics, Bernstein.
[5] Handbook of Number Theory I and II, Sandor, Crstici & Mitrinovic.
Wikipedia also has a plethora of pages with mathematical identities. Some of them:
https://en.wikipedia.org/wiki/Vector_calculus_identities
https://en.wikipedia.org/wiki/Vector_algebra_relations
https://en.wikipedia.org/wiki/Exterior_calculus_identities
https://en.wikipedia.org/wiki/Del_in_cylindrical_and_spheric...
https://en.wikipedia.org/wiki/List_of_set_identities_and_rel...
https://en.wikipedia.org/wiki/List_of_formulas_in_Riemannian...
https://en.wikipedia.org/wiki/List_of_set_identities_and_rel...
https://en.wikipedia.org/wiki/List_of_triangle_inequalities
https://en.wikipedia.org/wiki/List_of_trigonometric_identiti...
... and its several lists of integrals (including trigonometric, exponential, rational).
https://en.wikipedia.org/wiki/Lists_of_integrals#Lists_of_in...