Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

Is there a way to write $f(c)=2^{\lfloor \frac{c}{10} \rfloor}c$ without using the floor function?

share|improve this question
    
@JasperLoy $f(c) = 2^{\lfloor\frac{c}{10}\rfloor}c$ –  mirai Oct 27 '12 at 17:03
    
@JasperLoy It's a variable then. I've updated the question. –  mirai Oct 29 '12 at 3:15

1 Answer 1

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.

share|improve this answer

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.