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Eeeeee (mander.xyz)
submitted 10 months ago by [email protected] to c/[email protected]
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[-] [email protected] 158 points 10 months ago* (last edited 10 months ago)

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

[-] [email protected] 74 points 10 months ago

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.

[-] [email protected] 67 points 10 months 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.

[-] [email protected] 31 points 10 months ago
[-] [email protected] 42 points 10 months 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.

[-] [email protected] 15 points 10 months ago* (last edited 10 months ago)

Technically you need another 20 digits if you want to get down to a Planck length. (57 digits in total)

[-] [email protected] 8 points 10 months ago

So the number 3 should be close enough for home use. Good to know. Thanks!

[-] [email protected] 4 points 10 months ago

As an engineer, I approve this message!

[-] [email protected] 1 points 10 months ago

My maths exam asked me to consider pi=5.

[-] [email protected] 2 points 10 months ago

"I will... consider it."

[-] [email protected] 1 points 10 months ago* (last edited 10 months ago)

You can quote with the “greater than” sign (>). Backticks mark text as source code.

> quote

[-] [email protected] 21 points 10 months ago* (last edited 10 months 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.

[-] [email protected] 9 points 10 months 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.

[-] [email protected] 5 points 10 months ago

“Fix” it with Lim as eee-> infinity (where eee is some other e-named variable)

[-] [email protected] 74 points 10 months ago

When did dolphins learn calculus?

[-] [email protected] 32 points 10 months ago
[-] [email protected] 30 points 10 months 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

[-] [email protected] 1 points 10 months ago

And then he murders her while maintaining his secret identity as a forensic technician?

[-] [email protected] 21 points 10 months ago

This is a fantastic metaphor for what tinnitus feels like.

[-] [email protected] 17 points 10 months ago
[-] [email protected] 13 points 10 months 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.

[-] [email protected] 9 points 10 months ago* (last edited 10 months ago)

You may just have made me create pattern screamer and I don't exactly think it's happy at you.

[-] [email protected] 8 points 10 months ago

Is nobody going to complain this is a screenshot of a Tumblr post of a Reddit post

[-] [email protected] 7 points 10 months ago

I love it but I do not understand

[-] [email protected] 29 points 10 months ago

"e", or Euler's number, is a constant used in maths because it has useful properties in logarithms and some other things. Basically just like pi except for logarithms instead of circles. Like pi, it's an infinitely long series of non-repeating digits. The crime you have witnessed in the post is a shitload of mathematical operations applying e to e in various ways in order to get (very close to) pi. Like saying "I'm going to make 14 using only 2" and then saying (2^2^2)-2, except instead of 2 and 14 you've got e and pi

[-] [email protected] 7 points 10 months ago

Formatting messed up (on my client at least.) It's 2^2^2, but it looks like (2^2)2 (without the parentheses, of course.)

[-] [email protected] 3 points 10 months ago

That was the intention, yes. Thanks

[-] [email protected] 2 points 10 months ago

So it is not really approximating pi and there is no circle hiding?

[-] [email protected] 2 points 10 months ago* (last edited 10 months ago)

It's approximating the value of the actual number pi, 3.14159 etc. It's not doing anything with pi after that

[-] [email protected] 7 points 10 months ago

Donno if it's part of the joke but there is a beautiful equation:

e^iπ^+1=0

So once you allow yourself to use i and log and stuff, you get a nice and simple equation

[-] [email protected] 2 points 10 months ago

They're also doing some shenanigans with the variable of integration. I bet it would look a lot more palatable if they were changed

[-] [email protected] 7 points 10 months ago

I can't even upvote this; it's too hideous.

[-] [email protected] 9 points 10 months ago

That's why I upvoted it.

[-] [email protected] 6 points 10 months ago

But what does it sound like as musical notes?

[-] [email protected] 15 points 10 months ago* (last edited 10 months ago)
[-] [email protected] 5 points 10 months ago

That is actually really nice sounding

[-] [email protected] 3 points 10 months ago

Wow nice work

[-] [email protected] 3 points 10 months ago

Pretty monotonous. It's just E.

[-] [email protected] 1 points 10 months ago

I'm imagining fax sounds

[-] [email protected] 5 points 10 months ago

Alan Becker should've used this

[-] [email protected] 4 points 10 months ago
[-] [email protected] 5 points 10 months ago

But it equals 3.14159265359

[-] [email protected] 5 points 10 months ago
[-] [email protected] 4 points 10 months ago

Could be the right hand side or the left hand side of an equation* or of an inequation** whatever.
(*) equations have "=" in middle
(**) inequations have "=<" (or ...) in middle.

[-] [email protected] 6 points 10 months ago
[-] [email protected] 5 points 10 months ago

How the fuck did I miss that?

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[-] [email protected] 1 points 10 months ago

Look, I tried to solve this with Wolfram alpha, desmos, and nunerical integration in Python, but what does a subscript e even mean?? None of the methods I tried even returned a solution, which is kinda unsurprising...how do you integrate with respect to e, when e isnt a variable??

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this post was submitted on 17 Jul 2024
887 points (98.9% liked)

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