# MinimalBy

MinimalBy[{e1,e2,},f]

returns a list of the ei for which the value of f[ei] is minimal.

MinimalBy[{e1,e2,},f,n]

returns a list of the ei corresponding to the n smallest f[ei].

MinimalBy[f]

represents an operator form of MinimalBy that can be applied to an expression.

# Details • Values of f[ei] are compared using the same canonical order as in Sort.
• The minimal ei are returned in the order they appear in the input.
• In the case of MinimalBy[list,f,n], the ei are sorted in the order of increasing f[ei], with those having the same value of f[ei] being taken in the order they appear in list.
• MinimalBy[list,f, UpTo[n]] gives n elements, or as many as are available.
• MinimalBy[f][expr] is equivalent to MinimalBy[expr,f].

# Examples

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## Basic Examples(4)

Find the minimal element by last part:

 In:= Out= All minimal elements are returned, in order of appearance:

 In:= Out= Obtain the first three minimal elements:

 In:= Out= Obtain the first 4 minimal elements, or as many as are available:

 In:= Out= ## Possible Issues(1)

Introduced in 2014
(10.0)
|
Updated in 2015
(10.3)