It's a new Jeneration ... She showed up dressed as me, and honestly she did it RIGHT. The least I could do was hand her the official playlist and let her live it up all night. This one's yours, Allie. 🎶 Just in time for your holiday weekend: THE ALLIE PLAYLIST https://t.co/FGGIMmjn0s
off campus is the perfect series to bring back 20+ episodes series because the banter and filler eps you can get from those characters have the potential to be insane
harry styles charging his fans an insane amount of money, just to do nothing innovative, playing a setlist of just 22 songs. all while having an unnecessarily big stage is something only a man can do.
Dear Microsoft, when I hit the Windows Start menu key and start typing a word to autocomplete a search, I never, ever, EVER want it to return results of something not on my computer. Ever. Like, ever, ever, never.
🚨In 1700s, French mathematician Georges-Louis Leclerc took a needle, a wooden floor, and a question that sounds almost childishly simple.
If you drop a needle randomly onto a surface ruled with parallel lines, and the needle's length equals the distance between those lines, what are the odds it crosses one of them?
The answer is 2 divided by pi.
No circles anywhere in that experiment. No curves, no arcs, no radii. Just a straight needle falling onto straight lines through pure chance. And pi crawls out of the probability like it was hiding there the entire time, waiting for someone to ask the right question.
Mathematicians call this Buffon's Needle, and it remains one of the most conceptually violent results in the history of probability. You can physically recreate it on your kitchen floor. Drop a needle 500 times, count the crossings, divide, and you will approximate pi to several decimal places through nothing but randomness and straight lines. The circle was never in the room. Pi showed up anyway.
This is what separates pi from every other mathematical constant. It doesn't stay inside its original context. It migrates. Euler discovered it hiding inside the sum of the reciprocals of all squared integers, a problem involving no geometry whatsoever. The Gaussian bell curve that governs how errors distribute in measurements, how heights vary in a population, how quantum particles spread across space, carries pi in its foundation even though the curve itself was never constructed from a circle.
Physicist Eugene Wigner wrote a paper in 1960 that never got the mainstream attention it deserved. He called it "The Unreasonable Effectiveness of Mathematics in the Natural Sciences." His central bewilderment was precisely this pattern: mathematical structures developed in complete abstraction, with zero intention of describing physical reality, keep turning out to be the exact language the universe was already using before anyone looked.
Pi is his strongest case. It wasn't engineered to fit physics. It was found already fitted, in places nobody thought to look for it, in systems that share nothing geometrically with a circle.
The needle doesn't know about circles. The universe apparently does.
🇮🇱🇨🇭 This Swiss commentator has balls of steel. While the Israeli bobsleigh team was racing, he kept reminding viewers of the war crimes the pilot has openly supported.
Absolute legend!
L'Inter ha goduto di un errore arbitrale a favore.
Un suo giocatore ha accentuato un contatto (simulato, se volete) per trarre un vantaggio. Come Gimenez in Milan-Fiorentina e Vergara in Genoa-Napoli. Non ho letto milanisti e napoletani ammetterlo, come stiamo facendo noi.