An interesting mixture between continuous and discrete math - help needed!

• June 9th 2011, 11:45 AM
ashachar
An interesting mixture between continuous and discrete math - help needed!
All,
The following definition:

$
f_{\pm}^{;}(x)\equiv\underset{{ h\rightarrow0^{\pm}}}{\lim}sgn[f(x+h)-f(x)],
$

involves continuous mathematics (Calculus) with discrete mathematics (the sign function, whose values are discrete).
This definition along with other interesting definitions, where continuous and discrete math join together, are depicted lucidly in the following video: