BUILT-IN MATHEMATICA SYMBOL

# BinLists

BinLists[{x1, x2, ...}]
gives lists of the elements whose values lie in successive integer bins.

BinLists[{x1, x2, ...}, dx]
gives lists of the elements whose values lie in successive bins of width dx.

BinLists[{x1, x2, ...}, {xmin, xmax, dx}]
gives lists of the that lie in successive bins of width dx from to .

BinLists[{x1, x2, ...}, {{b1, b2, ...}}]
gives lists of the that lie in the intervals , , ....

BinLists[{{x1, y1, ...}, {x2, y2, ...}, ...}, xbins, ybins, ...]
gives an array of lists where the first index corresponds to x bins, the second to y, and so on.

## DetailsDetails

• BinLists drops elements whose values do not correspond to real numbers.
• Within each bin, elements appear in the same order as in the original data.
• BinLists[data, dx] takes the bin boundaries to be integer multiples of dx, with the first bin starting at Ceiling[Min[data]-dx, dx] and the last bin ending at Floor[Max[data]+dx, dx].
• BinLists[data] is equivalent to BinLists[data, 1].
• BinLists[data, {xmin, xmax}] is equivalent to BinLists[data, {xmin, xmax, 1}].
• In BinLists[data, {xmin, xmax, dx}], elements are placed in bin i when their values satisfy .
• In the form BinLists[data, {{b1, b2, ...}}], the at each end can be and .
• If the do not form an increasing sequence, they are automatically sorted by BinLists.
• In BinLists[data, {{b1, b2, ...}}], elements are put in bin i when their values satisfy .
• If data consists of length-n sublists, then n bin specifications must be given, and BinLists[data, ...] yields an array of lists of depth n.
• BinLists works with SparseArray objects.

## ExamplesExamplesopen allclose all

### Basic Examples (3)Basic Examples (3)

Make lists of elements in bins of width 1 from 0 to 10:

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List elements in a sequence of ranges:

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List elements in bins of a specified width:

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