Tired of waiting 2 seconds for hyperpi to download? Simply do infinity calculations by hand and some basic algebra. Cut out the middle man. Thanks, internet!
how dare you post math in this sub
I’m allways astonished by how many function seemingly have nothing to do with circles and yet somehow a pi managed to snuck itself in
Usually when that happens there’s a way to tie it back to circles, but it’s not always easy to find
there’s a way to tie it back to circles
Not necessarily circles, but conic sections. When you take a series of a fixed exponent over a variable x, and graph it, that graph is a parabola.
A parabola is a slice through a cone. Tada, pi appears.
You could say you just go round and round hunting for it, but no matter how hard you try you just can’t corner it.
Well, you could.
It makes sense if you consider that mass without outside forces forms a sphere. If you have enough atoms you get a sphere, and if you only have two they will circle eachother. Two hydrogen atoms are two spheres of neutrons and protons being circled by an electron circling eachother. It’s circles all tge way down.
tbf, the 2nd sum is exactly the first one just multiplied by 1/2. though i get that the progression is natural, even, and odd.
the last one is definitely
oddpuzzling, but i cannot intuitively get the first one. how does summing the inverse of triangular number equal 2?I believe starting with 1/1 which equals 1, you are then adding infinitely (fractions) on top of the 1. So 1, then 1 1/2, ect, so the next full integer to be hit (infinitely down the line) would be 2.
I don’t do high level math so I hope this explanation is correct or intelligible, this is just how I understand it intuitively
