Difference between revisions of "Null sequence"
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Latest revision as of 21:28, 19 April 2016
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I've been dealing with this definition now for over 4 years, trust me, null sequence was quite literally the first thing I learned
Definition
A null sequence is a term for a sequence that converges to [ilmath]0[/ilmath].
This term requires a certain amount of structure on the space the sequence is in, namely for a [ilmath]0[/ilmath] to make sense, so we're talking on a normed space really. All norms are also metric spaces however metric spaces have no notion of [ilmath]0[/ilmath].
Typically first years learn about metrics, and deal with [ilmath]0\in\mathbb{R} [/ilmath] this is of course a normed space too.
