Fun fact: The photo on p. 210 of this book (and on the cover of the Dover edition) is a sketching of French politician Louis Legendre whose portrait had been mistakenly used, for nearly 200 years, to represent French mathematician Adrien-Marie Legendre, i.e. up until 2005.

Cats are invariant under SO(3) transformations! 😼

What a surreal picture of our moon 🌒

One of the best examples of cryptic plumage and mimicry in Australian birds is seen in the tawny frogmouth. [📹 harugarden0206]

This man builds motorised bed so he can go anywhere lying down

Microsoft CEO Satya Nadella says computing power is now doubling every 6 months, as the Scaling Laws paradigm has taken over from Moore's Law, and the new currency is tokens per dollar per watt

The world hasn’t gotten any better.

Mathematicians seeing data scientists make millions of dollars by using basic applications of their theory

Mathematicians reading physics x.com/Yoda4ever/stat…

1/10 Today we're launching FrontierMath, a benchmark for evaluating advanced mathematical reasoning in AI. We collaborated with 60+ leading mathematicians to create hundreds of original, exceptionally challenging math problems, of which current AI systems solve less than 2%.

Illustration of the Plateau problem (or minimal area problem) with soap films: the spherical bubble minimizes its area for a given volume (Jean Simeon Chardin, Les bulles de savon, 1734). From: Nonlinear Phenomena V3, Bouchet, Audoly & Sepulchre.

Yeah. Not good. sciencedirect.com/science/articl…

Norbert Wiener and Claude Shannon, undated. (Picture courtesy of MIT Museum) #Information #Information_age #Shannon #Wiener

Making a Fibonacci Spiral Using Islamic Geometry. #geometry #spiral #Fibonacci #Islamic_art

The discrete Fourier basis is a sampling of the continuous Fourier basis. They are both orthogonal. This is (almost) magic! en.wikipedia.org/wiki/Discrete_…

''Am anfang war die symmetrie - in the beginning was symmetry''- (Werner Heisenberg) [My photo, Istanbul Archeological Museum ~1480]

A new project on DLA between two concentric circles: Trying to simulate the experimental work of Seungju Moon of fractal patterns emerging from diffusing acid into a benzoate-containing hydrogel. #DLA #Fractal #ReactionDiffusion

It is not at all natural that “laws of nature” exist, much less that man is able to discover them. The miracle of the appropriateness of the language of mathematics for the formulation of the laws of physics is a wonderful gift for which we neither understand nor deserve - Wigner

One of the only cases where a power law is strongly true is the distribution of frequencies of occurrence of words. word frequency ∝ 1/word rank ​ This is an instance of Zipf's law: sort a list in decreasing order & the value of n-th entry is inversely proportional to n  5/5

The true logic of the world is in the calculus of probabilities - James Clerk Maxwell (1831-1879) [Image below is created by AI]