0113: "Riemann-Zeta"

This forum is for the individual discussion thread that goes with each new comic.

Moderators: Moderators General, Prelates, Magistrates

User avatar
Shoofle
Posts: 409
Joined: Sun Apr 09, 2006 9:28 pm UTC
Location: Location, Location.
Contact:

0113: "Riemann-Zeta"

Postby Shoofle » Fri Jun 09, 2006 11:03 am UTC

I'm still unclear on what the Riemann-Zeta function is - anyone explain it to me?

Edit: I know the graph is of the Riemann-Zeta function, but the mouseover says "The graph is of" and nothing else. What?

User avatar
xkcd
Site Ninja
Posts: 365
Joined: Sat Apr 08, 2006 8:03 am UTC
Contact:

Postby xkcd » Fri Jun 09, 2006 2:36 pm UTC

The alt-text was supposed to list the parameters I used, but because of a typo it got mangled when I posted the comic and I didn't notice. *edits alt-text* Better!

The Riemann-Zeta function is a function that takes a complex number as its input, so you can graph it on the complex plane. It actually OUTPUTS a complex number, so if you want just one graph you might graph the magnitude of the output number (function value).

The biggest unsolved problem in mathematics is where the zeros of that function occurr. There's a hypothesis that says they all occurr along a specific line (which is running to the right and back, parallel to the row of spikey peaks). No one has proven it true or found a counterexample yet.

User avatar
Frankeinstein
Posts: 97
Joined: Fri Apr 21, 2006 5:39 pm UTC

Postby Frankeinstein » Fri Jun 09, 2006 5:46 pm UTC

I am so going to use the two first paragraphs. Hopefully just the two first anyway.

spipper
Posts: 7
Joined: Mon Aug 25, 2008 1:34 am UTC

Re: Riemann-Zeta discussion

Postby spipper » Mon Aug 25, 2008 1:38 am UTC

The Riemann-Zeta function was proposed by Riemann as a way to correct any errors 100% in his formula used to predict how many primes are located before any number on the number line. The graph that you see is the zeros of the function. These value at which the zero occurs is then used to find exactly how many primes there are. the formula is 1/(n^s) where s is a complex number. and n is the number on the number line.

leon.ringchoix
Posts: 1
Joined: Thu Sep 11, 2008 9:27 am UTC

Re: Riemann-Zeta discussion

Postby leon.ringchoix » Thu Sep 11, 2008 9:36 am UTC

http://xkcd.com/113/

My bro sent me #474, I started at the start, and laughed about 4 times up to 113. so thats ......
http://www.mathwarehouse.com/arithmetic ... tNumer=114
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113
laughts=4
primesUpTo(113)=30
4/30 = 0.1333bar laughs per prime

Any hoo, thanks for the strips.


Return to “Individual XKCD Comic Threads”

Who is online

Users browsing this forum: Google Feedfetcher and 44 guests