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!

Partition of an infinite-dimensional interval

  1. Apr 30, 2007 #1


    User Avatar

    Is ther any form by bisection or simiar to obtain a partition for an infinite-dimensional interval (aka functional space)?? i believe you could obtain a partition for every interval 'centered' at a certain function as:

    [tex] X(t), X(t)+\delta (t-t`), X(t)+2\delta (t-t`), X(t)+\delta (t-t`), ..... [/tex]

    where X(t) is the center of the partition in the sense that the mean value of..

    [tex] \sum_{i=1}^{N} \frac{ Y_{i} (t)}{N}=X(t) [/tex]

    where the Y_i (t) are the 'elements' of the partition...
  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: Partition of an infinite-dimensional interval