Valhalla Legends Archive

Member Forums => Spht's Forum => Topic started by: rabbit on October 19, 2006, 06:11 PM

Title: Finding the Inverse of a Multivariable Function
Post by: rabbit on October 19, 2006, 06:11 PM
Okay, so, one day in my math class I got really bored, and I wrote up this equation:
http://www.liquid-server.org/images/-pictures-63bb1c697f340f0559a1fc85e4da12da_1161299204.gif

Now, over the next few days, utilizing the awesomeness of my green pen, I calculated f(7,3,5,31) = 6.  What I wantneed now is to find the inverse of this function within its constraints, though I'm not sure how to start.  Got any ideas?
Title: Re: Finding the Inverse of a Multivariable Function
Post by: UserLoser on October 19, 2006, 11:08 PM
(http://forums.clubrsx.com/images/smilies/offtopic.gif)
Title: Re: Finding the Inverse of a Multivariable Function
Post by: topaz on October 19, 2006, 11:52 PM
You hit the wrong forum
Title: Re: Finding the Inverse of a Multivariable Function
Post by: rabbit on October 20, 2006, 06:19 AM
.....................holy shit.  That was stupid.  Who feels like moving this?
Title: Re: Finding the Inverse of a Multivariable Function
Post by: Rule on October 21, 2006, 05:49 PM
Your function takes N4 --> R.  For a function to have an inverse, it must be a bijective mapping from its domain to its codomain.  Obviously that is not the case with your function.  Imagine how many input combinations could lead to the number "6" as output.  Now try and think of what the pre-image of "6" would look like.

Title: Re: Finding the Inverse of a Multivariable Function
Post by: rabbit on October 21, 2006, 07:40 PM
x, y, and z are all reduced mod N, so technically it's self limiting.  I was kind of hoping I could at least find some kind of inverse, at least from [0, n) :\