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.
Details

- 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 bi at each end can be -Infinity and +Infinity.
- 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
.
- 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.
Examples
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Wolfram Research (2007), BinLists, Wolfram Language function, https://reference.wolfram.com/language/ref/BinLists.html.
CMS
Wolfram Language. 2007. "BinLists." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/BinLists.html.
APA
Wolfram Language. (2007). BinLists. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/BinLists.html