- #1
TheDonk
- 67
- 0
edit: Oh nuts, embarrassing typo. Should be "...rearranged in terms of y"
Ok, I swear this isn't homework but if it seems too much like homework I'm happy to have it moved there.
So I need to be able to find x given y in:
y = 1/(1+x)^x
Possibly important:
y will always be between 0 and 1 and as y goes from 0 to 1, x goes from infinity to 0.
I don't really know where to start. Is there an exact algebraic solution at all? I need to write an algorithm that will calculate this reliably. The reason I need it is to calculate a sigmoid-like curve based on certain (in my opinion) intuitive inputs. The one remaining problem is inverting this equation!
Thanks to all who help!
- Andrew
Ok, I swear this isn't homework but if it seems too much like homework I'm happy to have it moved there.
So I need to be able to find x given y in:
y = 1/(1+x)^x
Possibly important:
y will always be between 0 and 1 and as y goes from 0 to 1, x goes from infinity to 0.
I don't really know where to start. Is there an exact algebraic solution at all? I need to write an algorithm that will calculate this reliably. The reason I need it is to calculate a sigmoid-like curve based on certain (in my opinion) intuitive inputs. The one remaining problem is inverting this equation!
Thanks to all who help!
- Andrew