Symbols:O/Little-O Notation
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Little-$\oo$ Notation
- $o$
Used for example as follows in the context of sequences:
Let $g: \N \to \R$ be a real sequence, expressed here as a real-valued function on the set of natural numbers $\N$.
Then $\map \oo g$ is defined as:
- $\map \oo g = \set {f: \N \to \R: \forall c \in \R_{>0}: \exists n_0 \in \N: \forall n > n_0: \size {\map f n} \le c \cdot \size {\map g n} }$
This is denoted:
- $a_n = \map o {b_n}$
The $\LaTeX$ code for \(a_n = \map o {b_n}\) is a_n = \map o {b_n}
.
Sources
- 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics ... (previous) ... (next): $O$ and $o$ notation
- 2021: Richard Earl and James Nicholson: The Concise Oxford Dictionary of Mathematics (6th ed.) ... (previous) ... (next): o