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based on an earlier version of the Wolfram Language.
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BinLists

BinLists[{x1, x2, ...}]
gives lists of the elements xi whose values lie in successive integer bins.
BinLists[{x1, x2, ...}, dx]
gives lists of the elements xi whose values lie in successive bins of width dx.
BinLists[{x1, x2, ...}, {xmin, xmax, dx}]
gives lists of the xi that lie in successive bins of width dx from xmin to xmax.
BinLists[{x1, x2, ...}, {{b1, b2, ...}}]
gives lists of the xi that lie in the intervals [b1, b2), [b2, b3), ....
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.
  • 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].
  • In BinLists[data, {xmin, xmax, dx}], elements are placed in bin i when their values satisfy x_(min)+(i-1) dx<=x<x_(min)+i dx.
  • If the bi 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 b_i<=x<b_(i+1).
  • 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.
Make lists of elements in bins of width 1 from 0 to 10:
List elements in a sequence of ranges:
List elements in bins of a specified width:
Make lists of elements in bins of width 1 from 0 to 10:
In[1]:=
Click for copyable input
Out[1]=
 
List elements in a sequence of ranges:
In[1]:=
Click for copyable input
Out[1]=
 
List elements in bins of a specified width:
In[1]:=
Click for copyable input
Out[1]=
List squares mod 3 and 5 in two-dimensional unit bins:
List random pairs in bins of width 0.25 in both dimensions:
List multidimensional data in ranges:
Bin data in any dimension:
Bin data, ignoring values that are not real:
Bin data of any precision:
Visualize two-dimensional data in bins:
The length of BinLists is equivalent to the results from BinCounts:
Binning intervals are closed on the left:
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