2 students did the impossible. Then Charles Barkley donated $1 million

[@MindYourDecisions]

For those interested, here are the mathematical details of the trigonometric proof: kzbin.info/www/bejne/oKaplaJol86dn8U In the 60 Minutes interview, Ne'Kiya Jackson and Calcea Johnson said each person had developed a proof. Many of you have requested a video on these proofs. As of yet the work is not publicly available. I have reached out to the mathematical community, including a tweet to the American Mathematical Society. I will keep trying. I would love to see the paper and share the proofs in a video.

[@sebastian19745]

Is there a reason, or is a custom in the scientific or math community for the work to not be publicly available, even after one year after its announcement? I am also very curious about it, since I saw your previous video, I checked but I found only speculations based on the drawings.

[@user255]

@@sebastian19745 I far as I know this is very unusual.

[@user255]

@@sebastian19745 No, in fact without publication there is no proof.

[@sebastian19745]

@@user255 Then the donation was made based on the media articles only? It seems strange, I start to doubt.

[@marcfruchtman9473]

I knew who received it, the moment I saw the Title! That's Awesome! First, thank you especially to Charles Barkely. And especially to the two students Ne'Kiya Jackson and Calcea Johnson and the teacher, Michelle Blouin Williams, for having the desire to make more math discovery a reality.

[@mournblade1066]

I've met Charles Barkley several times. My brother (who works for the NBA) got his start with the Houston Rockets when Barkley started there, and they became good friends. Barkley is a real stand-up guy, and very generous. He's also very blunt, and funny as hell. We need more people like him in this world.

[@crigsbe]

The Pythagoras theorem is simply based on similar triangles. Draw in any right angled triangle the height onto the hypotenuse. Now you have 3 similar triangle. The hypotenuse of the original triangle is also the sum of two parts. Use similarity relations and you find easily the theorem with little algebraic manipulations.

[@ThePowerfulOne07]

Congrats to the teens for their discovery! Louisiana proud

[@Gideon_Judges6]

Wasn't this already proven by two other independent people almost 15 years ago?

[@NOBODY-toxic]

Yes

[@ej66ujety37]

What are the sources, I'm keen to read about them

[@bosorot]

Sumerian/Babylonian proof of Pythagoras' theorem based on summation of infinite geometric series , likely to be thousand years ago. google " clay tablet IM 67118 " , this is real. kzbin.info/www/bejne/bWeXY5x4erSdec0 Not to talk down these smart young students. But fact is this knowledge from 1770 BC . It is a sensational story that media love but distorted the fact .

[@michaelz6555]

Yes. I saw an independent paper about 18 months ago that appeared to use the exact process that the students used. Not to diminish the girls’ efforts, as it is _very_ hard to come up with an original proof. I myself thought I’d found one before learning that President James Garfield did mine a couple of hundred years earlier. But their proof does not appear to be original.

[@CanariasCanariass]

Doesn't make their work less impressive though, but yeah..

[@Vengemann]

These also inspire me to work for solving Riemann hypothesis (which I won't be able to solve)

[@jamesarthurreed]

Why not? Apply yourself to this end, and you might beat me to the punch! 😉

[@admarquis]

NJWildberger got it right: the fundamental/master theorem of planar geometry is basically law of cosine squared written with 1-s, where s is sine², in which the two limit cases are when s=1, yields pythagorean formula and s=0 is a relation when 3 points are collinear. Rational Trigonometry is the way to go in many key aspects 🤗 Thanks for your videos! 🙏🙋‍♂️

[@wakeup3456]

Barkley should have given those two girls free scholarships or money or something Maybe he did. Congrats Girls

[@arassemiaktas8075]

every time I watch this guy, I feel like I get just a little smarter

[@CrowsDoMath]

Well, now watch a video on grammar.

[@arassemiaktas8075]

@@CrowsDoMath Damn bro,I just forgot to capitalize E and put a period you didnt have to roast me like that

[@HxTurtle]

could you enlighten me of what you think this sentence should look like, ​@@CrowsDoMath

[@CrowsDoMath]

@@arassemiaktas8075 Proofread. Your writing represents you.

[@southernbreeze3278]

but didn't they use trigonometry in their proof and isn't that circular?

[@klembokable]

Yeah not sure why the sin function should be allowed to prove the Pythagorean theorem, when the theorem is assumed as the entire basis of trig... Which is where you define the sin function. But maybe I'm missing some reasoning here

[@matheusjahnke8643]

@@klembokable pythagrean theorem is the basis for sin²(x) + cos²(x)=1 But you can defined sin(x) = length(opposite cathetus) / length(hypothenuse).... the fact that this will be constant no matter the size of the triangle is due all relevant triangles being similar amongst themselves: they all have angle x, 90º[or pi/2 radians] and 90º-x.

[@AbandonmentFarmer]

@@klembokableAdding to Matheus’ comment, you can also define the trigonometric functions in terms of their Taylor series expansion

[@hrayrbarseghyan5453]

​@@AbandonmentFarmerI don't think you actually can do. Taylor series is based in derivative of sine, which in turn is based on trigonometric identity, in turn based on Pythagorean theorem

[@AbandonmentFarmer]

@@hrayrbarseghyan5453 the Taylor series is just a polymial series, it doesn’t depend on sine to exist, but is equivalent to it

[@RicardoMorenoAlmeida]

Beautiful story. Also a very sad world in which we have to hope some rich person decides he like a media story and donates some money so that some kids have a guaranteed good education.

[@russelllomando8460]

Astounding - I remember your video. Thanks.

[@michaels7566]

Awesome accomplishment! Unlike the past when people would ponder problems for long periods of time with obsessive tenacity, today most want instant answers. These young women showed that obsessive tenacity can win the prize.

[@DiggitySlice]

Oh now I see why this is getting attention on this channel. Muh wahmin

[@chaossspy6723]

that's not true. He proved the theorem, there is no other proof before his work. Also the fact that other "discovered and used the theorem" before him is not true because they did not prove the statement of the theorem, so it was not a theorem but a conjecture at best. Theorem=thesis+proof not just thesis

[@chaossspy6723]

(the first one saying that theorem=thesis+proof AND hypothesis will get to know me personally I swear.)

[@chaossspy6723]

also, Euclid? how? he lived after P. LOL

[@Xcyp_]

Theorem=thesis+proof AND hypothesis

[@chaossspy6723]

@@Xcyp_ you typed capital T, so not happening

[@angrytedtalks]

I agree that the proof offered also required Euclidean geometry. And though "clever" it does no more than the pictogram showing how the squares of the legs add up to the square of the hypotenuse demonstrated by the 3,4,5 triangle in China 4000+ years ago. How did the pyramids get built so accurately with right angles? I'm pretty sure they knew what they were doing.

[@通り過ぎる行列]

The solution doesn't look that difficult, but really smart Massachusetts mathematicians couldn't solve it?

[@LimitedWard]

Can't solve what you don't attempt to solve. Likely not an area of focus for most (modern) mathematicians.

[@Google-En-Passant]

Indeed, also it had already been done 15 years ago

[@HappiestFirstMan]

didnt two indian students work this out first? i thought I seen this last year where they did what the other students did.

[@scientiamonakh]

Multiverse of madness😂

[@Nothingx303]

In mathematics the imagination is more important than theorems

[@JamesWylde]

There is not active interest in restoring any name other name than Pythagoras Presh, you know that.

[@JamesWylde]

You are the only one I know that seems to be on this weird one-KZbinr crusade

[@PauperJ]

How many times, when Presh was a youngster, did he have to be told, "Go to bed!"

[@通り過ぎる行列]

It's suspicious when you look at race......

[@oscarespinosa9264]

I love this story.

[@hasanberkanarslan]

Respect for these teenagers…

[@VincentVanJoYT]

your mics glitching a bit

[@LimitedWard]

Man all the racists are coming out of the woodwork on this one 🙄

[@BrianKennelly]

Without detracting from their creative and original solution, I am not sure why it was pushed as the first Trig proof. I remember proving it from the Law of Sines in high school (1978), and I am sure I was not the first. (Basically, the law of sines yields the rule for the sine of a sum of angles, and the trig identity sin²+cos²=1 is a special case.)

[@JavedAlam24]

You can't use sin^2 + cos^2 = 1 because that is what you are trying to prove

[@BrianKennelly]

@@JavedAlam24 that is the point. It is a special case of the sine of a sum of angles, which can be easily derived from the law of sines. So, law of sines leads quickly to the trig identity, which is equivalent to Pythagoras

[@SaroliaSir]

Good 👍

[@movimentoamazonialivre9838]

Are you sure you understood the depth of that sentence from 1927 because you seem to gloss over the proof in your video.

[@kmyc89]

Eee... what about the proof/'proof' , by building a big square made of 4 same triangles and a smaller c^2 square , and with algebra of the areas, we came to the conclusion to the pythagorean theorem

[@julianbruns7459]

Thats the standard proof, and many others exist. The question was to find a proof that only used trigonometry, not algebra aswell.

[@kmyc89]

@@julianbruns7459 Ah yeah- that was the goal. Thank You for remembing, and a sweet Week

[@shmuelpollak3272]

Poor Presh, he had to add a whole introduction about Gou Gou and others to justify a whole video full of Pythagoras. Pathetic...

[@JamesWylde]

It's strange that Pythagoras is the only one he seems have himself wrapped in a tizzy about too. There's many examples of scientific theories that were discovered independently, years, and miles apart; each without knowledge of the other, so none detract from one another. Presh just seems to have his panties in a twist about Pythagoras.

[@Negan_03]

And that's the answer

[@henrymarkson3758]

What sort of BS video is this?

[@scientiamonakh]

Don't put presure on your mind😅

[@SwervingLemon]

Boy, sure glad Charles donated to this private academy that clearly already produced top-notch students, and not some struggling, impoverished school that could really use the help. I mean, honestly, good on him for donating anything at all, but seems like he could have put that money to some place that needed it a lot more. Edit: For all I know, he might well donate to lots of schools so... maybe I'm just a bitter prick? Leaving the comment up as a reminder to myself to not be so quick to criticize.

[@tracykinchen6919]

The problem with this statement is you are assuming that Sir Charles doesn't donate his money to any other causes.

[@SwervingLemon]

@@tracykinchen6919 That's a fair point.

[@shreya1159]

Being Indian i never learned Baudhyan Theorem 😐

[@JamesWylde]

Probably no one did, Presh is just mad because Pythagoras was European and that's not enlightened

[@henp99]

❤ Thank you.

[@isambo400]

There is no way an adult didn’t solve this. They just knew having 2 girls claim it would get way more attention

[@scientiamonakh]

Cope😂

[@C-H1]

Sometimes the best minds are ones unrestrained… and seriously…. Good on those two girls

[@lefthanded3512]

👍🏻💯

[@SarahAbramova]

Neat

[@Doktor_Vem]

I wonder if $1,000,000 is alot to Mr. Barkley. Like, he's a former NBA champion, he's gotta be pretty well off these days and to the common man $1,000,000 is most of the time a butt-ton, but is he actually a "common man" now?

[@artzyalicia5546]

I hope I become smart like those girls one day 😄👏🏾

[@sparkymlarky]

I smell a huge rat with this story.

[@zzzaphod8507]

Are you calling Barkley a rat?

[@Songfugel]

I think he means the fact that there are suspicions of foul play

[@zzzaphod8507]

@@Songfugel More likely a turkey or chicken then

[@sparkymlarky]

@@zzzaphod8507 do you really believe those 2 worked it out.

[@southernbreeze3278]

any reason for your suspicion?

[@tobyfitzpatrick3914]

If they weren't Black would Obama or Barkley have gotten involved..?

[@HxTurtle]

I can only hope, this is a sheer rhetorical question (of course, they'd have looked the other way; because they wouldn't have "qualified" in times where one side pursues identity politics like as if there were nothing wrong with it, lol.)

[@christheother9088]

Stick to the math bro. sketchy.

[@Songfugel]

Why to the school and not to these ladies? I hope they win a Nobel prize for this, IF they really did prove it first. I wish there was a Nobel prize category just for teens, to inspire them to go into sciences (which is pretty abysmal career option atm)

[@tuvarkz]

Because hundreds of proofs to the pythagorean theorem already exist. This does not advance math in any significant way. This is just proof n*100+1

[@mdlouie]

there is no nobel prize for math

[@nnnp634]

First of all, there's no Nobel prize for math, there are Fields medal (which comes with laughably small amount of money) and Abel prize (which is around 600k, which is also embarrassing, but at least cool to get). That said, they won't get either of those for a proof of something proven so many centuries ago, unless their proof introduced some novel concepts, which it probably didn't. There should be more encouragement for science, I agree. We measure epochs by scientific discoveries and yet pay scientists barely above minimal vages and even best of the bests get nothing. Fields and Abel prize should be 10M at the very least, and sure, having a couple thousand grands for teenagers would be nice as well

[@HxTurtle]

fields medal has an age cap, ​@@nnnp634

[@turtletom8383]

Wow so you proved a²+b²=c² because a²+b²=c² 🤷🏻kinda like using the word your trying to define in the definition.

[@AbandonmentFarmer]

Their proof uses the definition of sine and the law of sines, which don’t depend on the pythagorean theorem

[@hareecionelson5875]

So you didn't watch the videos explaining the proof then. Condescending and wrong, the worst combination

[@LimitedWard]

Wow so you didn't watch the video 🤷

[@mrtwanbruhofficial880]

first