permutation (Q6311): Difference between revisions

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Revision as of 19:19, 3 April 2023 Fire (talk | contribs) Bureaucrats, Interface administrators, Administrators 132,371 edits ‎Created claim: defining formula (P333): \sigma: \{1, 2, \ldots, n\} \rightarrow \{1, 2, \ldots, n\} ← Older edit		Latest revision as of 19:21, 3 April 2023 Fire (talk | contribs) Bureaucrats, Interface administrators, Administrators 132,371 edits ‎Created claim: has quality (P14): parity of a permutation (Q6313)
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		Property / defining formula
			${\displaystyle \sigma :{\begin{pmatrix}1&2&\dots &n\\\sigma _{1}&\sigma _{2}&\dots &\sigma _{n}\end{pmatrix}}}$ \sigma : \begin{pmatrix} 1 & 2 & \dots & n \\ \sigma_1 & \sigma_2 & \dots & \sigma_n\end{pmatrix}
		Property / defining formula: ${\displaystyle \sigma :{\begin{pmatrix}1&2&\dots &n\\\sigma _{1}&\sigma _{2}&\dots &\sigma _{n}\end{pmatrix}}}$ / rank
			Normal rank
		Property / defining formula
			${\displaystyle P_{n}=n!}$ P_n=n!
		Property / defining formula: ${\displaystyle P_{n}=n!}$ / rank
			Normal rank
		Property / has quality
			parity of a permutation
		Property / has quality: parity of a permutation / rank
			Normal rank

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Latest revision as of 19:21, 3 April 2023

change of ordering in a (mathematical) set

• arrangement
• rearrangement
• shuffle

Language	Label	Description	Also known as
English	permutation	change of ordering in a (mathematical) set	arrangement rearrangement shuffle

Statements

instance of

mathematical concept

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integer-valued function

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unary function

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subclass of

bijection

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has effect

sorting

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arranging

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defining formula

${\displaystyle \sigma :\{1,2,\ldots ,n\}\rightarrow \{1,2,\ldots ,n\}}$

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${\displaystyle \sigma :{\begin{pmatrix}1&2&\dots &n\\\sigma _{1}&\sigma _{2}&\dots &\sigma _{n}\end{pmatrix}}}$

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${\displaystyle P_{n}=n!}$

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has quality

parity of a permutation

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Sitelinks

⧼wikibase-sitelinks-mywikigroup⧽(0 entries)

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