Ordering

Usage

• Ordering[list] gives the positions in list at which each successive element of Sort[list] appears.
• Ordering[list, n] gives the positions in list at which the first n elements of Sort[list] appear.
• Ordering[list, -n] gives the positions of the last n elements of Sort[list].
• Ordering[list, n, p] uses Sort[list, p].

Notes

• Example: Ordering[

c, a, b

]

• In a numerical list Ordering[list, n] gives the positions of the n smallest elements. Ordering[list, -n] gives the positions of the n largest elements.

• If there are several smallest elements in list, Ordering[list, 1] will give only the position of the one that appears first.

• list[[Ordering[list]]] is the same as Sort[list].

• Ordering[list, seq] is equivalent to Take[Ordering[list], seq].

• Ordering[list, All, p] gives the position at which all elements of list appear in Sort[list, p].

• Ordering can be used on expressions with any head, not only List.

• See Section 1.8.11.

• See also: Max, Min, Position, OrderedQ, Median.

• New in Version 4.1.

Further Examples