Cavall Kai

2A

[Jeff Weiss @Passionweiss]

Michael McDonald breaking down the backstory of "What a Fool Believes"

[Love Classical Music and Movies 🎺🎻💖🎥🎬 @AlexTran677026]

Justus Eichhorn is a young German pianist and composer, born in 2009 in Weimar. He is currently 16 years old.

[Cavall Kai @CavallKai]

@Rainmaker1973 Beavis?

[Carl Quintanilla @carlquintanilla]

Happy b’day, Jay Graydon, who once explained his solo in Steely Dan’s “Peg”:

“.. It was just another record session as far as nerves go. .. I hoped I would play a solo that Donald and Walter would like, since a guitar solo on a SD album was a big deal ..”
https://t.co/Wj4MKTiELa

[Physics In History @PhysInHistory]

A large part of mathematics which becomes useful developed with absolutely no desire to be useful, and in a situation where nobody could possibly know in what area it would become useful; and there were no general indications that it ever would be so. By and large it is uniformly true in mathematics that there is a time lapse between a mathematical discovery and the moment when it is useful; and that this lapse of time can be anything from 30 to 100 years, in some cases even more; and that the whole system seems to function without any direction, without any reference to usefulness, and without any desire to do things which are useful.

-- John von Neumann,
"The Role of Mathematics in the Sciences and in Society" (1954)

[Dangerous Thoughts @DangerousThinkg]

Medicare gets ripped off regularly

Exposés like this one are more and more common

The best involvement for government in healthcare should be as little as possible

Getting government out of healthcare is critical

[Physics In History @PhysInHistory]

The laws of nature are but the mathematical thoughts of God.

-- Johannes Kepler

[Cavall Kai @CavallKai]

@TravelDestiny10 It must suck to live with the fact that your self-serving vision has been shelved because it is not a useful way forward. Perhaps Romney will take up scotch drinking and cigar smoking so he can sulk in style.

[Cavall Kai @CavallKai]

@PicturesFoIder That statue will outlive their flawed outlook. The irony will sting.

[Eron @0xEronn]

In 1712, Leibniz co-founder of calculus wrote a letter declaring that logarithms of negative numbers were impossible - and the argument nearly collapsed the foundations of analysis. Mathematicians went back and forth for over a year without resolution. In 1747, Euler wrote a 133-page paper with a solution so unexpected that the field refused to accept it for 50 years after his death. That solution is the reason every LLM attention head works the way it does today.

Raise e to a real power and you get exponential growth - the kind scaling every weight matrix in a neural network. Raise it to an imaginary power and the growth disappears completely. The output lands on a unit circle, magnitude exactly 1, rotating by one radian per unit of input. That is Euler's formula. The Fourier transform inside every transformer attention layer and every diffusion model is this rotation - running on geometry Euler rescued from collapse 278 years ago.

27 minutes. Bookmark & watch today. The equation mathematicians refused for 50 years and every GPU on earth runs on.

[Cavall Kai @CavallKai]

@defense_civil25 More effective than lethal injection.

[Math Files @Math_files]

In 1633, René Descartes was preparing to publish Le Monde, his treatise on physics and cosmology.

Then he heard that Galileo had been condemned for teaching that Earth moves.

Descartes was so alarmed that he wrote to Marin Mersenne that he had almost decided to burn all his papers rather than publish something the Church might condemn.

One scientific trial nearly changed the publication history of another great thinker.

Source: Mario Livio, Is God a Mathematician?

[Physics In History @PhysInHistory]

The Golden Ratio (ϕ) is a mathematical constant approximately equal to 1.618, often called the "divine proportion."

It appears in nature, from the spirals of sunflower seeds to the structure of galaxies, and has been used in art and architecture, including the Parthenon and Da Vinci's "Vitruvian Man."

[Math Files @Math_files]

A loxodrome is a curve on a sphere that crosses every line of latitude at the same constant angle.

In navigation, it represents a path with a constant compass bearing.

Geometrically, it is the spherical analogue of the logarithmic spiral, which meets concentric circles at a constant angle.

[Cavall Kai @CavallKai]

@atensnut Rayleigh scattering.

[Amber H @ThatCheerMomOfX]

Brought these to a family cookout…

Now I’m charge on bringing rolls only.

My culinary skills are so unappreciated

[Cavall Kai @CavallKai]

@trumplicans2024 Schwinn Caliente.

[Cavall Kai @CavallKai]

@ag_0012 Sounds like some NGO money at work.

[Crazy Moments @Crazymoments01]

He literally said NO. 😂😂

[Math Files @Math_files]

As a teenager, Bernhard Riemann reportedly borrowed Legendre’s 859-page Theory of Numbers from his school director.

He returned it one week later, saying it had taken him the whole week to master.

Two years afterward, he chose the same book for his graduation examination and answered every question correctly, despite not having looked at it in the meantime.

Source: Stephen Hawking (ed.), God Created the Integers.