02/20/2013, 10:58 PM

One of the reasons im intrested in this is because these functions must be between id(x) and x^2 or id(x) and sqrt(x) resp.

So no silly slow or silly fast growth rates. Also its an analogue to the question what lies "between" polynomial and exponential ?

This question appears to be what lies "between" linear and squared ?

Many functions grow like ...(exp(x)^a)(x^b)(ln(x)^c)...* ...(sexp(x)^a_2)(slog(x)^b_2).... and this one might be different. And even if similar that is also intresting imho.

Since these functions grow at normal rates we might be able to do 'normal' math such as calculus or number theory(*) or simpler recursions.(* by using rounding )

So no silly slow or silly fast growth rates. Also its an analogue to the question what lies "between" polynomial and exponential ?

This question appears to be what lies "between" linear and squared ?

Many functions grow like ...(exp(x)^a)(x^b)(ln(x)^c)...* ...(sexp(x)^a_2)(slog(x)^b_2).... and this one might be different. And even if similar that is also intresting imho.

Since these functions grow at normal rates we might be able to do 'normal' math such as calculus or number theory(*) or simpler recursions.(* by using rounding )