
Math General Math Forum  For general math related discussion and news 
 LinkBack  Thread Tools  Display Modes 
July 18th, 2014, 04:52 AM  #1 
Newbie Joined: Jul 2014 From: Australia Posts: 1 Thanks: 0  A challenge, to find the equation for a function
So after really considering this album cover (titled 'AM'), I decided that I really wanted to come up with a function that resembled it. Even with my relatively limited understanding of functions, I decided to give it a shot. However, the best thing I could come up with is this: f(x) = sin(x) * (35x) * (x+35) Its definitely not much and quite possibly useless, but from x=35 to x=35 it is quite close to the waves on the left of the cover and has the same number of crests/troughs. My initial thought would be to use cosine so that the highest crest would be in the centre, however having looked at the image further, I noticed the highest crest is slightly offcentre and there is also a single lowest crest, so sine is actually more accurate. On another note, the image I linked to is technically not the album cover, it has been extended to be flat on either end. I imagine it would be quite difficult to do that, but I thought it might be worth mentioning as I think it would look good. Otherwise just a gradual decrease in amplitude would look fine. This may seem quite pedantic (and pointless...), but its all part of the challenge (and fun?) I suppose. Anyway, I've become quite frustrated with this problem and I feel somewhat obliged to see it solved. So, does anyone have any suggestions (or answers?!), as to what I can do? Also, something tells me such a graph might not be possible, so someone please say so if it isn't :P PS. Oh, and the waves in the centre of the image actually say 'AM', so I can't overlook that... Last edited by opaque; July 18th, 2014 at 04:56 AM. 
July 18th, 2014, 05:08 AM  #2 
Senior Member Joined: Apr 2014 From: Glasgow Posts: 2,150 Thanks: 730 Math Focus: Physics, mathematical modelling, numerical and computational solutions 
I suspect wavepackets might achieve what you're after. They are of the form $\displaystyle u(x,t) = Ae^{(xct)^2 + ik(xct)}$ where $\displaystyle c$ is the speed of the wave, $\displaystyle k$ is the wave number and $\displaystyle i = \sqrt{1}$. I imagine you can take two wavepackets, one which is displaced relative to the first one and add them together carefully to make the function that looks like the one on the cover. Wave packet  Wikipedia, the free encyclopedia 

Tags 
bugsmemorethanitshould, challenge, equation, find, function, sine 
Search tags for this page 
arctic monkeys wallpaper,am cover wallpaper,arctic monkeys album cover,am arctic monkeys,equation for arctic monkeys album cover,arctic monkeys LOGOwallpaper,arctic monkeys am
Click on a term to search for related topics.

Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Equation Challenge  GooeyRock  Elementary Math  2  November 30th, 2013 08:11 AM 
Up for a challenge? (e.g. Find x, simplify expression)  Algebra  6  August 8th, 2013 06:41 PM  
using demand equation to find revenue function  tsl182forever8  Calculus  1  March 2nd, 2012 11:48 AM 
Challenge: find an approximation  durexlw  Algebra  1  February 15th, 2009 10:35 AM 
Trying to find the equation of an exponential function  December31  Algebra  5  August 9th, 2008 07:20 PM 