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Can anyone tell me what this is?

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

[itex]\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)[/itex]

% 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.

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

[itex]\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)[/itex]

% 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.

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