Category:Definitions/Theta Notation
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This category contains definitions related to $\Theta$ notation.
Related results can be found in Category:Theta Notation.
Let $g: \N \to \R$ be a real sequence, expressed here as a real-valued function on the set of natural numbers $\N$.
Then $\map \Theta g$ is defined as:
- $\map \Theta g = \map \OO g \cap \map \Omega g$
where:
- $\map \OO g$ is big-$\OO$ notation
- $\map \Omega g$ is big-$\Omega$ notation.
That is:
- $\map \Theta g = \set {f: \N \to \R: \exists c_1, c_2 \in \R_{>0}: \exists n_0 \in \N: \forall n > n_0: 0 \le c_1 \cdot \size {\map g n} \le \size {\map f n} \le c_2 \cdot \size {\map g n} }$
Pages in category "Definitions/Theta Notation"
The following 10 pages are in this category, out of 10 total.
T
- Definition:Theta Notation
- Definition:Theta Notation/Also defined as
- Definition:Theta Notation/Also known as
- Definition:Theta Notation/Also presented as
- Definition:Theta Notation/Definition 1
- Definition:Theta Notation/Definition 2
- Definition:Theta Notation/Informal Definition
- Definition:Theta Notation/Motivation
- Definition:Theta Notation/Notation