Analysis Fact @AnalysisFact
Daily tweets about real and complex analysis and related topics. From @JohnDCook. JohnDCook.com/math Joined December 2009-
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'Old Macdonald had a form; e_i /\ e_i = 0.' -- Mike Stay
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Quasiconformal maps en.wikipedia.org/wiki/Quasiconf…
Analysis Fact retweeted
It is unknown whether the sequence aₙ = 1 / (n² sin n) converges or diverges.
The Mellin transform of the exponential function is the gamma function.
Solving Kepler's equation with Newton's method johndcook.com/blog/2022/11/0…
Mollweide map projection and Newton's method On Hacker News: news.ycombinator.com/item?id=453233…
'Real analysts cannot do without Fourier, complex analysts cannot do without Laurent, and numerical analysts cannot do without Chebyshev.' -- Lloyd N. Trefethen'
'All electrical engineers are familiar with the idea of a pulse, and a delta function is just a way of expressing a pulse mathematically.' -- Paul Dirac
One of the many places double factorial naturally arises
Analysis Fact retweeted
Decibels are logarithms base 1.2589. johndcook.com/blog/2021/05/1…
Optimal rational approximation johndcook.com/blog/2024/09/0…
The derivative of a Bézier curve is another Bézier curve.
In calculus over the p-adic numbers, a function can have derivative zero without being constant.
Milman–Pettis theorem: Every uniformly convex Banach space is reflexive.
Mollweide map projection and Newton’s method johndcook.com/blog/2025/09/2…
Multiples and powers mod 1 johndcook.com/blog/2025/07/1…
The butterfly non-effect johndcook.com/blog/2018/08/0…
Smooth numbers and max-entropy terrytao.wordpress.com/2025/09/15/smo…
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