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.

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

I'm trying to understand a paper but it has an equation in it that is lost on me.. I don't think it's very advanced but unfortunately I've never had much experience with this kind of thing.

(From The pitch of short-duration fundamental frequency glissandos, Christophe d'Alessandro et al, [pdf] -- equation below given as (1) on page 2).

$$ p = \frac{\int_{t1}^{t2} F0(\tau) d\tau}{\int_{t1}^{t2} d\tau} $$

The accompanying text is:

where $p$ is the pitch perceived, $F0(\tau)$ is the time-varying fundamental frequency, $t1$ and $t2$ are the averaging time limits.

Any pointers?

share|cite|improve this question
It's just a time-average of a function over a time interval $[t_1,t_2]$. – Raskolnikov Apr 30 '12 at 11:35
Mean of a function at Wikipedia. – Martin Sleziak Apr 30 '12 at 11:41
I wish you mentioned the paper you saw this in to begin with... – J. M. Apr 30 '12 at 12:02
@J.M. "The pitch of short-duration fundamental frequency glissandos" Christophe d'Alessandro et al… - the equation in question is marked as (1) on page 2. – Lauren Apr 30 '12 at 12:49
Thank you. Can you please edit that into your question? – J. M. Apr 30 '12 at 12:50

Your Answer


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

Browse other questions tagged or ask your own question.