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TakeSmallest—Wolfram Language Documentation

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• See Also
  • TakeSmallestBy
  • MinimalBy
  • Min
  • PositionSmallest
  • Sort
  • SortBy
  • NumericalSort
  • NumericalOrder
  • Ordering
  • RankedMin
  • TakeLargest
  • TakeLargestBy
• Related Guides
  • Knowledge Representation & Access
  • Computation with Structured Datasets
  • Math & Counting Operations on Lists
  • Descriptive Statistics
  • Robust Descriptive Statistics

TakeSmallest[data,n]

gives the n smallest elements of data, sorted in ascending order.

TakeSmallest[dataprop,n]

gives the property prop for the n smallest elements in data.

TakeSmallest[data,n,p]

uses the order function p for sorting.

• TakeSmallest gives the smallest elements in the first level of the input data. »
• By default, TakeSmallest uses NumericalOrder to sort numeric expressions, Quantity objects and DateObject expressions. For other types of objects, TakeSmallest sorts by canonical Order.
• The data can have the following forms:
• {e₁,e₂,…} list of values, including numbers, quantities, dates, ... » » » Association[…] association of values » QuantityArray[…] quantity array or other structured array » Tabular[…] type-consistent tabular data » TabularColumn[…] type-consistent column data » Dataset[…] general hierarchical data »
• TakeSmallest[assoc,n] gives an association of length n by taking the n smallest values in assoc, preserving their keys.
• In TakeSmallest[dataprop,n], possible forms for prop include:
• "Element" gives each element itself » "Index" gives the index for each element » {prop₁,prop₂,…} a list of multiple forms » All gives an association with element and index »
• TakeSmallest[data,UpTo[n]] takes n smallest elements, or as many as are available. »
• TakeSmallest[n][data] is equivalent to TakeSmallest[data,n].
• TakeSmallest has option ExcludedForms. With the default setting ExcludedForms->Automatic, TakeSmallest drops elements that are None, Null or Indeterminate or have head Missing. »
• The setting ExcludedForms->{patt₁,patt₂,…} specifies that expressions matching any of the patt_i should be excluded from results generated by TakeSmallest. »

Take the two smallest numbers in a list:

Do the same using the operator form of TakeSmallest:

Get the three smallest quantities in a list of Quantity objects:

Quantities can be present in multiple units:

Get the two least recent dates in a list of DateObject constructs:

Take the three smallest values in an association:

Take the four smallest numbers or as many as are available if fewer:

Quantities can be given as QuantityArray:

By default, Missing[] and several other symbolic expressions are excluded from the results:

Get the two smallest elements in a list:

Get the positions of the two smallest elements in a list:

Get the two smallest elements in a list along with their positions:

Get the two smallest elements in a list with their positions given first:

Get associations containing the element and position of the two smallest elements in a list:

Find the three smallest elements in a TabularColumn:

Get the four rows with the smallest element in the first column in a Tabular object:

Take a list of numeric expressions or infinities:

By default, TakeSmallest sorts the elements using NumericalOrder:

Use canonical Order instead:

Take a list of lists of integers:

They are not numeric elements, so they are sorted by default following canonical order:

Use instead lexicographic order, which will sort the list by their respective first elements:

Take a list of complex numbers:

Following NumericalOrder, TakeSmallest selects numbers with decreasing real part:

By default, Missing[] and several other symbolic expressions are excluded from the results:

Specify which elements should be excluded:

By default, TakeSmallest takes all elements into account when finding the smallest ones:

Exclude particular elements:

Exclude elements matching a given pattern:

Get the three planets with the smallest radii:

Get the release dates of the five oldest James Bond movies:

Find the South American countries with the lowest life expectancy for their inhabitants:

Find the codons (groups of three consecutive nucleotides) with the lowest relative frequencies in the list of nucleotides of a gene:

Find the noble gases with the lowest boiling point and density:

Find the five least dense chemical elements:

TakeSmallest[list,n,p] is effectively equivalent to Take[Sort[list,p],n]:

TakeSmallest uses NumericalOrder as default ordering function p:

Using canonical order can give different results:

With numerical inputs, the result of TakeSmallest is determined by numerical comparisons:

Comparisons of non-numerical elements effectively follow canonical order:

Order is the default ordering function for Sort and ReverseSort:

TakeSmallest[data,…] operates at the first level of the input data:

If the input has several levels, it is still elements of the first level that will be sorted and extracted:

Unlike Min, TakeSmallest does not return values at deeper levels:

When different numerical expressions have the same value, their original order will be preserved:

TakeSmallest[list,n,p] is effectively equivalent to MinimalBy[list,Identity,n,p]:

Take a list of five dates in the current year:

Get the two earliest of the dates with TakeSmallest:

Get the second earliest of the dates with RankedMin:

If fewer than the requested number of elements are present, TakeSmallest will not evaluate:

Use UpTo to get as many elements as possible:

If the elements are not comparable, TakeSmallest will not evaluate:

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