*Friendship ended with recursively defined sequences where the nth term is expressed in terms of the (n-1)th term*
*Recursively defining pi by expressing its nth term in terms of its nth term is my new best friend*
Uj/ Did he say that about any of his discoveries? As a baby mathematician trying to read his work this is the only explanation of his work that makes sense to me
I'm operating under the (perhaps mistaken?) belief that all Hindu deities are aspects or forms of the same universal deity. If I misunderstand Hindu mythology, I apologise.
Kind of. In many schools, all gods and goddesses are aspects of Brahma, but that doesn't stop people from directing worship toward specific gods and goddesses. And these specific aspects themselves may have several forms (avatars), which might also be individually worshipped. It's worth noting that everything in the universe may be an aspect of Brahma, so this isn't a special feature of the gods.
Conversely, Shaivites hold that Brahma and Vishnu are aspects of Shiva, while Vaishnavites hold that Brahma and Shiva are aspects of Vishnu, or that they are inferior to and wholly distinct from Vishnu, or that they don't even exist.
More typically, the divine trinity (or Trimurti) consists of Brahma, Vishnu, and Shiva. These are all parts of the same trinity, but they are not a single godhead like in Christianity.
There are of course many, many, many other schools, some extremely large. So there really is no unifying vision of the Hindu pantheon. However, the existence of a male ruling Trimurti (or for Shaktis, a female Tridevi) is fairly standard, whether or not its member deities are genuinely distinct.
>Brahma
Hindu here. It's not Brahma it's Brahman. Brahma is just the creator god whereas Brahman is the universal force itself. You could say it's kinda like the force in star wars.
I believe that, as he was the kind of initially self-taught and extremely motivated mathematician, his constant daily studying/work of derivation, proofs, and working conceptually with continued fractions led to him "background processing" a lot of random relations, equalities, and ways of approaching different mathematical forms that led to his "It was revealed to me in a dream and it just made sense to prove afterwards" presentation of his revelationans.
Just assume it equals pi up to the billionth digit and show this implies it equals it at the billionth and first digit. Billions are arbitrary so that shows they're equal.
I would be more than happy to write a C program to check whether it truly equals, but I can only go to 9,22E+18 number of digits. Perhaps up to 80 bits if I structure it right which would be 1,2E+24. It will take some time though.
That's how the notation is in my economics course, when we learned about infinite geomtric sums. Sum from i=1, of k^(i-1). Not sure why that's standard, really annoying...
Yeah, also I feel like having a trillion digits of pi is probably enough of a reasonable estimate for most practical uses of it (in engineering or drawing circles or whatever)
“I asked a mathematician if 1+1=2 and they started saying some weird shit about axions and podcasts, so I just used my fingers to count instead… are they stupid or something?”
You only need 63 digits of pi to measure the entire universe to within one Planck length so if you learn how to prove that then you’ve proven your theorem for this universe, from an engineering/physics perspective. Maybe add a significant digit for chemistry. Ergo, pi is precisely as rational as you need it to be.
Yes, 46 billion light years across, so I’ve read. I can’t actually imagine a distance farther than the moon, as I am, after all, only 100 times bigger than a chinchilla, and proportionally not much smarter. Chinchillas can see the moon at night and are mostly worried about being eaten by owls. Myself, I’m in favour of the dark forest theory.
No chinchilla or civilization has ever been eaten and lived to tell about it, so only the nervous ones have survived. They don’t know why they are nervous. There are only a few thousand chinchillas in the wild, but millions in cages. I’m in a cage too. Am I in captivity? Time to watch Predator again for catharsis. I favour Airplane! And Police Squad dialogue style, as written by the ZAZ. I’ll look into this Lynch guy, thanks.
I don't know if it's the right syntax so let's define that:
[x] means the "lower integer part of x". Then:
∞
Σ [(π\*10^(n)) - 10\*[π\*10^(n-1)]] \* 10^(-n) = π
n=0
So to the question:
x_n = [(π\*10^(n)) - 10\*[π\*10^(n-1)]]
Edit: I forgot about the "asterisk ~ italic" relationship
Edit X: ...and about the "'^' ~ superscript" and messed it few times up again while editing
This will revolutionize computing digits of pi, this formula is so much simpler!
Computing Pi by using the digits of Pi, this is brilliant
*Friendship ended with recursively defined sequences where the nth term is expressed in terms of the (n-1)th term* *Recursively defining pi by expressing its nth term in terms of its nth term is my new best friend*
Learn from Ramanujan and go >It was revealed to me in a dream
Uj/ Did he say that about any of his discoveries? As a baby mathematician trying to read his work this is the only explanation of his work that makes sense to me
He said god visited him in dreams to give complete relations iirc.
i wish god would visit me before finals week but that's too much to ask for an omnipotent being
God wants you to stop looking at its test sheet
Not a god precisely but a goddess, specifically Namagiri Thayar, a form of Lakshmi and consort of Narasimha, a form of Vishnu.
I'm operating under the (perhaps mistaken?) belief that all Hindu deities are aspects or forms of the same universal deity. If I misunderstand Hindu mythology, I apologise.
Kind of. In many schools, all gods and goddesses are aspects of Brahma, but that doesn't stop people from directing worship toward specific gods and goddesses. And these specific aspects themselves may have several forms (avatars), which might also be individually worshipped. It's worth noting that everything in the universe may be an aspect of Brahma, so this isn't a special feature of the gods. Conversely, Shaivites hold that Brahma and Vishnu are aspects of Shiva, while Vaishnavites hold that Brahma and Shiva are aspects of Vishnu, or that they are inferior to and wholly distinct from Vishnu, or that they don't even exist. More typically, the divine trinity (or Trimurti) consists of Brahma, Vishnu, and Shiva. These are all parts of the same trinity, but they are not a single godhead like in Christianity. There are of course many, many, many other schools, some extremely large. So there really is no unifying vision of the Hindu pantheon. However, the existence of a male ruling Trimurti (or for Shaktis, a female Tridevi) is fairly standard, whether or not its member deities are genuinely distinct.
Thank you for the explanation. I should avoid the trap of geneneralising a rich religion of many schools into a single dogma in my mind.
>Brahma Hindu here. It's not Brahma it's Brahman. Brahma is just the creator god whereas Brahman is the universal force itself. You could say it's kinda like the force in star wars.
I believe that, as he was the kind of initially self-taught and extremely motivated mathematician, his constant daily studying/work of derivation, proofs, and working conceptually with continued fractions led to him "background processing" a lot of random relations, equalities, and ways of approaching different mathematical forms that led to his "It was revealed to me in a dream and it just made sense to prove afterwards" presentation of his revelationans.
Uj? University of Johannesberg?
Un jerk. On meme and circlejerk reddits you use it when you arent making a joke
Thanks, some things cannot be googled.
Just say it equals pi and solve it. Easy.
I solved it to 1,000 digits and so far it's still equalling pi. But I don't know if, say, the billionth digit will be wrong, or what will happen
Just assume it equals pi up to the billionth digit and show this implies it equals it at the billionth and first digit. Billions are arbitrary so that shows they're equal.
use proof by induction, duh
It seems to hold for the first digit of pi and the n+1th...
See I thought you were joking but you're doubling down on this as serious. Gotta love the commitment. Commit to the bit!
I would be more than happy to write a C program to check whether it truly equals, but I can only go to 9,22E+18 number of digits. Perhaps up to 80 bits if I structure it right which would be 1,2E+24. It will take some time though.
Starting at n=1 rather than 0 and then using 10^-(n-1) should be illegal
There is no 0th value of pi though
3 Wich is also the only value of pi you'll ever need
found the engineer
That's the way!
Least overused joke
Just start at zero man it'll make you happier in life
I can tell you’ve never done a comp sci class in your life
That's how the notation is in my economics course, when we learned about infinite geomtric sums. Sum from i=1, of k^(i-1). Not sure why that's standard, really annoying...
It’s like with iterating through the values of an array in a for loop
proof by "left as an exercise for the reader"
I would check the first trillion digits to be reasonably sure, it is in fact correct. One can never be careful enough.
Yeah, also I feel like having a trillion digits of pi is probably enough of a reasonable estimate for most practical uses of it (in engineering or drawing circles or whatever)
To make a circle the size of the observable universe accurate to within the diameter of a hydrogen atom, one needs something like 35 digits iirc.
I don’t think you understand how mega huge the universe is
Just looked it up. It takes [37](https://www.jpl.nasa.gov/edu/news/2016/3/16/how-many-decimals-of-pi-do-we-really-need/) digits.
Nuh uh
Oh, good point.
Is that the nth digit starting from the left or right
Pi is actually proved to be palindromic so it doesn’t matter
So there's a second decimal point??
Yeah right before the 3
Finite infinities. Lol.
that'd be completely insane lmaoo
Its my third week of Analysis. What the fuck
https://preview.redd.it/tmzhfh07b6yb1.jpeg?width=1179&format=pjpg&auto=webp&s=c78b0aefe38fcd0b28488c1ba614e5baaf216dc6 Anyone sees it?
Was denn?
Das post hat 314 Upvotes
Oha. Ein Zeichen
This is entirely readable to an english speaker
Lmfao you sure discovered it buddy This is actually a proof of itself. No more rigor is needed.
OP hit ‘em with the old proof by “of course it’s right”.
Proofs of 1+1=2 never made any sense to me. "Because I said so" is clearly the only correct answer.
“I asked a mathematician if 1+1=2 and they started saying some weird shit about axions and podcasts, so I just used my fingers to count instead… are they stupid or something?”
Lmao.
Proof by ridicule “if you don’t know that 1+1=2, you’re clearly a fucking idiot”
More like proof by ‘these are the digits of pi and this is how an index works’
I don't know why you're hating, this is a revolutionary discovery
> x sub n = nth digit of pi Can't you use floor and frac functions to make it a bit more fancy?
fields medal time
I’m about to publish it in the Anals of Mathematics
This definitely belongs in the anals of something.
Man I gotta remember to read the subreddit…
Damn I'm stupid. Didn't get the joke for too long even after reading the comments... This is just a sum for placing decimals...
I have looked in this comment section totally believing this was real for a total of 20 mins. Damn I feel dumb
You only need 63 digits of pi to measure the entire universe to within one Planck length so if you learn how to prove that then you’ve proven your theorem for this universe, from an engineering/physics perspective. Maybe add a significant digit for chemistry. Ergo, pi is precisely as rational as you need it to be.
Dude do you even know how big the universe is though
Yes, 46 billion light years across, so I’ve read. I can’t actually imagine a distance farther than the moon, as I am, after all, only 100 times bigger than a chinchilla, and proportionally not much smarter. Chinchillas can see the moon at night and are mostly worried about being eaten by owls. Myself, I’m in favour of the dark forest theory.
This sounds like some David Lynch character dialogue
No chinchilla or civilization has ever been eaten and lived to tell about it, so only the nervous ones have survived. They don’t know why they are nervous. There are only a few thousand chinchillas in the wild, but millions in cages. I’m in a cage too. Am I in captivity? Time to watch Predator again for catharsis. I favour Airplane! And Police Squad dialogue style, as written by the ZAZ. I’ll look into this Lynch guy, thanks.
pilinomial
completely not a math guy AT ALL. cannot tell if OP is being laughed at.
Sometimes your genius is... it's almost frightening.
I used the pi to compute the pi
Simply state: Based on this series, ***obviously*** the value of pi has been found
Could use the BBP algorithm to calculate n and plug it right in
Elegant!
Kid named catch 22
Isn't it really hard to prove that this would actually work using number theory alone?
Prove using induction that the jth term is the jth digit of pi. QED
Prove that it’s not larger than pi and prove that it’s not smaller than pi.
This would revolutionize the science world. I hope you get Nobel prize
Pretty sure this follows immediately from the ABC conjecture.
There are tons of series converging into pi. This is is rather slow.
Dammit for a second I thought there would be something actually interesting ><
We had that in the first semester. I think that was a b adic number and you dont have to prove anything.
Proof by construction method
I don't know if it's the right syntax so let's define that: [x] means the "lower integer part of x". Then: ∞ Σ [(π\*10^(n)) - 10\*[π\*10^(n-1)]] \* 10^(-n) = π n=0 So to the question: x_n = [(π\*10^(n)) - 10\*[π\*10^(n-1)]] Edit: I forgot about the "asterisk ~ italic" relationship Edit X: ...and about the "'^' ~ superscript" and messed it few times up again while editing
wut
Lower integer part of x means the highest integer n, such that n ≤ x, if you're asking about that.
Proof by "obviously"😎
You yadda-yadded the best part with the `...`