1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

A notation question

  1. Sep 1, 2007 #1
    Let's say I have a simple difference equation (the logistic equation from population dynamics);

    \frac{x_{t+1}}{x_t} = \alpha(t) - \beta x_t

    Now, let's say [tex]\alpha(t)[/tex] depends on the time of the year, and t = 3 months, I could built a vector for the value of [tex]\alpha(t)[/tex] for the year;

    \alpha =

    Now, obviously, at time t=5, it would have to get back to [tex]\alpha(1)[/tex]. I was thinking about using something like;

    \frac{x_{t+1}}{x_t} = \alpha([(t-1) \mbox{ mod}(4)]+1) - \beta x_t

    But I wondered if there was a better notation for this.
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you help with the solution or looking for help too?
Draft saved Draft deleted

Similar Discussions: A notation question
  1. Differential notation (Replies: 7)