# Interesting but useless equation?

1. Nov 2, 2011

### eliudthorn

Can anyone tell me what this is?

My son created it as an entertaining exercise -- he says it transposes positive integers. Is he right?

$\left(n\right)=\sum_{k=0}^{[log_b\left(n\right)]}\left(b^k\left(\left\lfloor \frac{n}{b^{\left\lceil log_b\left(n\right)\right\rceil}-k-1}\right\rfloor \%b \right)\right)$

% represents modulus and b represents the base of the number being transposed (e.g., 10). Sorry if this is not the appropriate forum (Calculus & Analysis). Please attribute that to ignorance rather than to apathy.

Thanks for your help.

Last edited: Nov 2, 2011
2. Nov 2, 2011

### mathman

Your latex isn't working.

3. Nov 2, 2011

### eliudthorn

Thank you mathman. I think the latex is fixed.