xeonza

loked in

[xeonza @xeonzaa]

Girls wrestled in the pool for VIEWS and $100 — the one who lost walked into a room with 5 guys and came out with a FULL TANK 😳💀

She lost the match and won everything else.

[xeonza @xeonzaa]

Saucewalka positioned himself between a girl's legs with a BUMPER — then the wrestling started and nobody could look away 😳👀

[xeonza @xeonzaa]

Clavicular offered a beauty a taste of his gummy worm on his yacht full of HOT girls — getting on her knees was the only way to try this delicacy 😏😳

[xeonza @xeonzaa]

Clavicular sat surrounded by models on his expensive yacht kissing whoever he wanted — and took ALL of them home 😏😳

[xeonza @xeonzaa]

DeenTheGreat found himself a HOT girl with incredible MELONS — the camera caught something very interesting when they walked into the room together 😳😏

[xeonza @xeonzaa]

Clavicular almost HIT a random girl who got too bold at his party car — she got kicked off the stream instantly
Thought he only knew how to kiss girls 😳💀

[xeonza @xeonzaa]

Clavicular hosted a lesbian party on his $15M yacht and banned everything except BIKINIS
What happened on that deck stayed on that deck 😳😏

[xeonza @xeonzaa]

Clavicular gave a leopard-print girl a professional INTIMATE massage — then kissed her and her big ASS approved 😏😳

[xeonza @xeonzaa]

This girl LOOKS harmless — until she knocked out a man who got aggressive with her during an argument 😳💀

[xeonza @xeonzaa]

This couple forgot the camera was STILL ROLLING in the car — and it caught exactly where his hands went 😳👀

[xeonza @xeonzaa]

Clavicular kissed a random girl in his parked car while his girlfriend waited for him at home.

He wasn't going home to her that night 😳😭

[xeonza @xeonzaa]

DeenTheGreat grabbed a girl's behind live on stream — then a guy showed up and they started sharing her between them 😳😏

[xeonza @xeonzaa]

Clavicular kissed another girl while hugging his own — things got awkward fast so he kissed her too.

Judging by his face, he liked the second one less 😭😳

[xeonza @xeonzaa]

DeenTheGreat got friendzoned hard by this girl and was NOT happy about it.

Then the bill arrived and he friendzoned her wallet right back 😭😳

[xeonza @xeonzaa]

Clavicular walked in on his friend sitting on top of a girl in the bar making very suspicious moves.

Just look at his face when he got caught 😭👀

[xeonza @xeonzaa]

A 20-YEAR-OLD FRENCH MATHEMATICIAN WROTE DOWN THE FOUNDATIONS OF MODERN ALGEBRA IN A LETTER TO A FRIEND. THE NEXT MORNING HE DIED IN A DUEL. HIS IDEAS WEREN'T UNDERSTOOD FOR ANOTHER 50 YEARS.

This Harvard algebra professor spends the first hour of his course telling you the story behind the subject you're about to learn.

Évariste Galois sent his discoveries to the greatest mathematicians of his time - Gauss, Cauchy, and others. They put his letters aside. Nobody understood what he had done. He died at 20, the result of a duel, and it was only decades later that a French mathematician named Jordan went back through the papers and realized Galois had built almost the entire foundation of modern group theory from scratch. In a letter written the night before he was shot.

The other founding figure of the subject was a Norwegian named Abel. He also died in his 20s - not from a duel but from poverty, unable to find academic work in mathematical Europe at the time. The subject they both built together is now called Abelian group theory, and it underlies most of modern mathematics, cryptography, and physics.

The professor then tells a second story about Don Zagier - a prodigy who learned nine languages by 13, finished MIT in two years, and was denied admission to Oxford as an undergraduate because no one under 16 was allowed to attend. He applied as a graduate student at 15 and was accepted with no objection. Zagier later recalled that after taking abstract algebra he was so confused that his working model of a group was simply the integers - and he thought the strange rule that you weren't allowed to assume a plus b equals b plus a was just an arbitrary convention of advanced mathematics that he had to respect.

The lecture is an introduction to group theory. It is one of the best first lectures on abstract algebra recorded on video.

free on youtube. search: harvard abstract algebra lecture 1.

[Potato @Potatxxl]

https://t.co/7hL5a8r784

[xeonza @xeonzaa]

A PROFESSOR WHO TRAINED SILICON VALLEY ENGINEERS PUT HIS ENTIRE ELECTROMAGNETISM COURSE ON YOUTUBE. IT'S FREE. HERE IS THE BEST PART.

He combed his hair, held the comb next to a piece of paper, and lifted it off the desk. The class laughed. Then he explained why they should be terrified.

The whole planet was pulling that paper down - every mountain, every ocean, the entire mass of the Earth working in one direction. One plastic comb, with a few electrons scraped off his hair, pulled harder and won. The reason is that the electromagnetic force is 10 to the power of 40 times stronger than gravity. Not 10 times. Not a million times. Ten with forty zeros behind it.

Then he asked the natural question: if this force is that incomprehensibly powerful, why doesn't it tear everything apart every second? The answer is that every atom carries equal and opposite charges that cancel each other out. The force that could rip the universe apart is quietly neutralizing itself inside every piece of matter you have ever touched. Gravity has no such cancellation - it just piles up - and that is the only reason it has any noticeable effect at all.

He then spends the rest of the lecture on Coulomb's Law - the one equation that describes everything he just demonstrated. He walks through how you would measure electric charge from scratch, with no prior definitions, using only springs and identical metal spheres. No shortcuts. The full experimental logic from the ground up.

There is a moment near the end where he points out something no textbook flags: the electron and the proton are completely different particles with different masses, different interactions, no known family relationship - and yet their electric charges are exactly equal and opposite to every decimal place anyone has ever measured. Nobody knows why. It is one of the deepest unsolved problems in physics, and it is the only reason atoms are neutral, which is the only reason you exist.

watch these 60 minutes before you go to sleep tonight. you will wake up tomorrow and never look at a plastic comb the same way again.

[Lupen @0xLupenn]

https://t.co/87P80B6arY

[xeonza @xeonzaa]

AN OXFORD PROFESSOR SPENDS FORTY MINUTES GRINDING THROUGH ONE OF THE UGLIEST VOLUME INTEGRALS IN THE COURSE, AND THEN IN THE LAST FIVE MINUTES SHOWS THE ROOM AN INTEGRAL SHE CAN SOLVE WITHOUT DOING A SINGLE LINE OF ALGEBRA

This is lecture three of Oxford's multivariable calculus course - the one where the whole thing goes into three dimensions and the difficulty stops being the arithmetic and starts being the geometry.

The first half is the honest labour. Chop a volume into tiny bricks, shrink them to nothing, sum them up, and you have a triple integral. Then the coordinate systems: cylindrical when the problem is a tube, spherical when the problem is a ball, and a Jacobian in each case that tells you how much your little volume gets stretched when you switch. The volume of a sphere falls out in four lines - not because the answer is surprising, but because in spherical coordinates the boundary of a sphere stops being an equation and becomes the single word "one".

Then she picks a genuinely nasty one. Find the volume trapped between a paraboloid and a slanted plane. There is no obvious coordinate system, so she does something most students never think to do: she asks what shadow the solid casts on the floor. Shine a light from above, and the outline of the shadow is exactly where the plane cuts the bowl. She sets the two surfaces equal, completes the square, and the mess collapses into a circle - centred at minus a half, minus a half, radius root three over two. That circle is the domain. Polar coordinates around its centre, Jacobian of r, and the integral that looked impossible becomes three over two minus r squared, times r, dr dtheta. Answer: nine pi over eight.

And then the last five minutes, which are the reason to watch the whole thing. She writes down a volume integral over the unit sphere with an arbitrary power k in it, and instead of computing anything she asks one question: what happens if you flip every coordinate to its negative. When k is odd, the integrand flips sign. The sphere is symmetric, so every point has a twin contributing exactly the opposite amount. Everything cancels. The integral is zero, and she has not integrated a thing.

When k is even, she pulls the second trick. Split the integral into its x part, its y part and its z part. The labels on the axes are arbitrary - you can rotate them into each other - so all three pieces are identical. Compute the z one, which is the easiest because it does not depend on the azimuthal angle at all, and multiply by three. Three integrals become one.

Free on YouTube. No fee, no application, no entrance exam - the exact lecture an Oxford maths undergraduate sat through this term.

bookmark this and skip to minute 40 if you want the short version - watching someone answer a hard integral with the word "zero" and no working is the best argument for learning symmetry that exists

[the lich @thelichhh]

https://t.co/aqsY18NvVz

[xeonza @xeonzaa]

OXFORD'S FIRST-YEAR CALCULUS LECTURE OPENS WITH THE PROFESSOR ADMITTING THAT SOLVING THESE EQUATIONS IS NOT SCIENCE - YOU GUESS, AND THE ONLY THING SEPARATING A GOOD GUESS FROM A BAD ONE IS HOW MANY YOU HAVE MADE BEFORE

This is Dan Ciubotaru, University of Oxford, Introductory Calculus - the first of sixteen lectures, and the one course the entire maths intake is required to sit through before anything else.

He spends the opening minutes on differential equations, and instead of handing out a method he hands out a confession. There is no algorithm that turns an equation into its solution. You look at the shape of it, you recognise something you have seen before, you propose an answer, and then you check whether the answer survives. The mathematics is in the checking. The proposal is instinct, and instinct is just a large enough pile of previous attempts.

That is why the course is mandatory. Not because the formulas are hard, but because the only way to build the instinct is volume - hundreds of equations, each one a slightly different bet, until the guess stops being random and starts being read.

The same equation he puts on the board that morning describes a cooling cup of coffee, a discharging circuit, a swinging pendulum and a decaying isotope. Four unrelated worlds, one line of algebra, and he derives it in front of first-years who have been at Oxford for less than a week.

Sixteen lectures. Free on YouTube. No application, no fee, no entrance exam - the exact lecture an Oxford maths student is sitting in right now.

bookmark this and start with lecture one - the first twenty minutes rewire how you read every equation after it

[Kael @0xKaeln]

https://t.co/XelGilZdZG

[xeonza @xeonzaa]

THE AUTHOR OF THE ANALYSIS TEXTBOOK EVERY MATH MAJOR OWNS SPENT A WHOLE LECTURE ARGUING THAT SOME OF THE GREATEST THEOREMS SURVIVED ONLY BECAUSE SOMEONE GUESSED THEM BEFORE THE FIELD KNEW BETTER

This is Walter Rudin, whose Principles of Mathematical Analysis has been the standard text for over sixty years, giving a talk he introduces as completely non-technical and highly opinionated.

He starts with Cauchy's theorem, which had been around 150 years and still had no clean proof of its general form. Then he shows a proof published a few months before the lecture that fits in a few lines, and says plainly that he finds it incredible.

Then the real argument. Riemann conjectured his mapping theorem in 1851, before anyone had built the monsters that came later - domains whose boundary belongs to three other domains at once, regions carved up by infinite systems of canals.

Watch him make the counterfactual. Propose that same theorem in 1920, he says, and the room would have told you it obviously cannot be true. Nobody would have believed a shape that pathological could be smoothly flattened into a disc.

His evidence is a second theorem that arrived late. Twenty-five years of partial results piled up on polynomial approximation, each one adding conditions to the boundary. Then Mergelyan proved the clean general version in 1951 - using nothing from any of them, with tools that existed decades earlier. Nobody had the nerve to conjecture it.

He also quietly corrects the record on a famous theorem attributed to Gelfand, showing Taylor had it three years earlier in a form that was already fully general.

The most honest moment is near the end. He beat Carleson on a problem by an epsilon, and admits he has no idea why he was thinking about it that year.

A grad student I know watched this after a semester with Rudin's book. Said hearing the author admit he does not know where ideas come from was worth the hour.

Free on YouTube, one hour, chalkboard only.

bookmark this and watch later - his claim is that mathematics has a window for each discovery, and that missing it means the theorem simply does not get found

[Kael @0xKaeln]

https://t.co/XelGilZdZG