tpm
- 67
- 0
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...
[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...