Wait... that's not an approximation at all! That equals exactly pi. If I understand the math correctly, it's effectively a formula for the area of a unit circle.
OrganicMustard 66 points 2 years ago
That should be an approximation. To get exactly pi the range of both integrals should be from minus infinity to infinity like this. It's the integral of the 2D Gaussian, which is fairly known.
cryoistalline 31 points 2 years ago
The approximation is only around 4.2810^-101 off from pi.
https://www.wolframalpha.com/...
https://www.wolframalpha.com/...pi
kata1yst 42 points 2 years ago
And because it always bears repeating;
According to JPL’s Chief Engineer for Mission Operations and Science, Marc Rayman-
Let's go to the largest size there is: the known universe. The radius of the universe is about 46 billion light years. Now let me ask (and answer!) a different question: How many digits of pi would we need to calculate the circumference of a circle with a radius of 46 billion light years to an accuracy equal to the diameter of a hydrogen atom, the simplest atom? It turns out that 37 decimal places (38 digits, including the number 3 to the left of the decimal point) would be quite sufficient.
xthexder 21 points 2 years ago
Ah, you're right. I was thrown off by WolframAlpha saying the integral = π ≈ 3.1416 Both of those should be ≈
(x^2 + y^2)=1 is the equation for a unit circle, so it's definitely related. Just not quite how I thought.
OrganicMustard 8 points 2 years ago
Also the 2D gaussian integral is used to give an insight on why the 1D gaussian integral is sqrt of pi. Here is a video with cool visualization for anyone interested.
rickyrigatoni 28 points 2 years ago
it ends in deeedee so maybe this is dexter when his sister has used the mosquito-izer on him and he's angrily yelling at her
WhiskyTangoFoxtrot 1 point 2 years ago
And then he murders her while maintaining his secret identity as a forensic technician?
TSG_Asmodeus 21 points 2 years ago
This is a fantastic metaphor for what tinnitus feels like.
Bishma 12 points 2 years ago
For some reason in my head, "eeeeeeeeeeeee de eee de e" is the sounds a toddler makes when you take them to a play ground and they just start to run in wide arcs - unable to decide which piece of equipment to play on first.
So, of course, the integral of "eeeeeeeeeeeee de eee de e" would be the sound of them sleeping the car on the way home.
OsrsNeedsF2P 8 points 2 years ago
Is nobody going to complain this is a screenshot of a Tumblr post of a Reddit post
ArbitraryValue 7 points 2 years ago
I can't even upvote this; it's too hideous.
eth0slash0 9 points 2 years ago
That's why I upvoted it.
Skua 15 points 2 years ago
path: 0 11231527 11232523, hotness: undefined, score: 15, children: 2
Edit: fixed a mistake and added dynamics based on the size of each E
OsaErisXero 5 points 2 years ago
That is actually really nice sounding
WhiskyTangoFoxtrot 3 points 2 years ago
Pretty monotonous. It's just E.
AVincentInSpace 1 point 2 years ago
path: 0 11231527 11260025, hotness: undefined, score: 1, children: 0
fionnafire 5 points 2 years ago
Alan Becker should've used this
KillerTofu 5 points 2 years ago
What is it?
WhiskyTangoFoxtrot 0 points 2 years ago
I've never seen one before - no one has - but I believe it's a white hole.
radicalautonomy 1 point 2 years ago path: 0 11232749, hotness: undefined, score: 1, children: 1
fossilesque 1 point 2 years ago path: 0 11232749 11232802, hotness: undefined, score: 1, children: 0
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Kind of intentionally obtuse since they used eₑ as a variable and eₑₑ as another variable, and used (e-e) as an exponent a few times, which is basically the equivalent of multiplying by 1 in a fancy way. The first and last term also perfectly cancel out.
The same integral written in a saner form is:
integral from -e^e to e^e of (integral from -e^e to e^e of e^-(x^2+y^2)dy)dx
save