Is there a way to write $f(c)=2^{\lfloor \frac{c}{10} \rfloor}c$ without using the floor function?
Writing $f(c)=2^{\lfloor \frac{c}{10} \rfloor}c$ without floor function
1
$\begingroup$
algebra-precalculus
-
0@JasperLoy It's a variable then. I've updated the question. – 2012-10-29
1 Answers
2
Perhaps you are looking for $f(c)=\sum_{k=-\infty}^{\infty}2^kc\chi_{[10k,10(k+1))}(c)$ where $\chi_E$ is the characteristic function of $E$ that sends an element to $1$ if it is in $E$ and to $0$ otherwise.