Category:Subsequences

This category contains results about Subsequences.
Definitions specific to this category can be found in Definitions/Subsequences.

Let $\sequence {x_n}$ be a sequence in a set $S$.

Let $\sequence {n_r}$ be a strictly increasing sequence in $\N$.

Then the composition $\sequence {x_{n_r} }$ is called a subsequence of $\sequence {x_n}$.