https://twitter.com/TranslatedCats/status/1568263915980869634?s=20&t=gcdYUsPn57jMrXxD_XKK9Q
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What a boss.
https://twitter.com/darrenlogan/status/1568570542050910208?s=46&t=G1urJfJm8moH57LXiVQpSg
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When Attenborough passes, heās definitely a lock for non-terrible famous person thread.
Guyās a legend.
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I think weāre gonna need @ggoreo to run some experiments on this for us.
It seems counterintuitive to me.
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Math is weird. Pythagoras is the one that really blows my socks off. That 3-4-5 makes a right triangle seems so contrived that thereās no way it could be true. Let me double checkā¦
Yup. Still true. Inconceivable.
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we luckboxed into trigonometry about 500 years earlier than it could have taken if 3-4-5 didnāt work
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Iām still surprised that there is an entire branch of math devoted to triangles. Thatās one useful fucking shape.
The typos fuck with me but ok.
In probabilistic terms, this can be rephrased as : if you draw a point at random on a sphere, each of its coordinates are uniformly distributed. I feel like there should be a computation-free proof of this but I canāt think of one at the moment (on the other hand, this doesnāt work in other dimensions, so maybe there isnāt one).
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Just imagine a 2D circle or just a quarter of a circle and think of how you would find the perimeter of one of the slices. Youād chop it up into infinitesimals along the y axis and say the perimeter between two points is sqrt(dx^2+dy^2) then sum over all points from b to a.
But for a circle sqrt(dx^2+dy^2) is a constant by definition. So it all works out somehow.
Re: mathā¦
It really bothers me that thereās no proof for Goldbachās Conjectureā¦. Which states that every even number greater than 2 can be written as the sum of two prime numbers.
Like 8 is the sum of 5 and 3, both prime numbers. Itās been proven true for all even numbers up to 4 x 10^18. There IS a proof that exists that shows thereās an infinite number of prime numbers, so the numbers never get so high that we run out.
Thereās a million dollar prize if you can write a proof!
Am I allowed to use the phrase āIāll let others elaborateā in that proof?
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All even numbers can be written as the sum of two odd numbers.
Prime numbers >2 are all odd.
Itās not a complete proof but I think itās worth at least $1/2 mil.
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FYP
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Holy shit! That is better.