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#!N
#!N #!Rhistogr Histogram #!N #!N Category #!N #!N #!Lcattrn,dxall763 h Transformation #!EL #!N #!N
Function #!N #!N Constructs a histogram from input data and computes
the median. #!N #!N Syntax #!CForestGreen #!N #!N #!F-adobe-courier-bold-r-normal--18* #!N #!F-adobe-times-bold-r-normal--18*
histogram, median #!EF = Histogram( #!F-adobe-times-bold-r-normal--18* data, bins, min, max, out);
#!EF #!EF #!N #!N #!EC #!N #!N Inputs #!T,1,91,276,461,646 #!F-adobe-times-medium-r-normal--14* #!F-adobe-times-bold-r-normal--18*
#!N TAB Name TAB Type TAB Default TAB Description #!EF #!N
TAB data TAB scalar list or vector list or TAB none
TAB field to be operated on #!N TAB - TAB scalar
field or vector field or TAB - TAB #!N TAB -
TAB series TAB - TAB #!N TAB bins TAB integer or
vector TAB 256 for bytes, 100 otherwise TAB number of bins
in histogram #!N TAB min TAB scalar or vector or field
TAB min. of data TAB minimum value to operate on #!N
TAB max TAB scalar or vector or field TAB max. of
data TAB maximum value to operate on #!N TAB out TAB
flag or vector TAB 0 TAB 0: exclude out-of-range values #!N
TAB - TAB - TAB - TAB 1: include out-of-range values
#!N TAB - TAB - TAB - TAB #!EF #!N #!N
Outputs #!N #!N #!T,1,161,321,646 #!F-adobe-times-medium-r-normal--14* #!F-adobe-times-bold-r-normal--18* #!N TAB Name TAB Type
TAB Description #!EF #!N TAB histogram TAB field or series TAB
the histogram #!N TAB median TAB scalar TAB median of the
input data #!N TAB - TAB - TAB #!EF #!N #!N
Functional Details #!N #!N The median is determined from an interpolation
performed in the bin containing the median element (or elements, if
there are an even number of samples). #!N #!I0 #!N #!N
#!I0 #!N #!F-adobe-times-bold-r-normal--18* #!F-adobe-times-bold-r-normal--18* data #!EF #!EF #!I50 #!N is the
data whose frequency distribution is to be computed and then represented
in a histogram. #!F-adobe-times-bold-r-normal--18* data #!EF can consist of scalars, 2-vectors,
or 3-vectors, with resulting one-dimensional, two-dimensional, or three-dimensional histograms, respectively. #!N
#!I0 #!N #!F-adobe-times-bold-r-normal--18* #!F-adobe-times-bold-r-normal--18* bins #!EF #!EF #!I50 #!N specifies the
number of bins into which the range from #!F-adobe-times-bold-r-normal--18* min #!EF
to #!F-adobe-times-bold-r-normal--18* max #!EF will be divided. If #!F-adobe-times-bold-r-normal--18* data #!EF
consists of vectors, then #!F-adobe-times-bold-r-normal--18* bins #!EF can be a vector
of the same length specifying the number of bins in each
dimension. #!N #!I0 #!N #!F-adobe-times-bold-r-normal--18* #!F-adobe-times-bold-r-normal--18* min #!EF #!F-adobe-times-medium-r-normal--18* and #!EF
#!F-adobe-times-bold-r-normal--18* max #!EF #!EF #!I50 #!N specify the range of values
for which the histogram is computed. #!N #!I0 #!N #!F-adobe-times-medium-r-normal--18* #!N
#!N #!I30 #!N o If neither parameter is specified, the values
used are the minimum and maximum of the input data values.
#!N #!I30 #!N o If #!F-adobe-times-bold-r-normal--18* min #!EF is a scalar
value, it is the value used. #!N #!I30 #!N o If
#!F-adobe-times-bold-r-normal--18* min #!EF is a data field, the minimum data value
of that field is used. #!N #!I30 #!N o #!F-adobe-times-bold-r-normal--18* max
#!EF is similarly interpreted. #!N #!I30 #!N o If #!F-adobe-times-bold-r-normal--18* min
#!EF is a data field and #!F-adobe-times-bold-r-normal--18* max #!EF is unspecified,
the module uses the minimum and maximum values of that field.
#!N #!I30 #!N o If #!F-adobe-times-bold-r-normal--18* data #!EF consists of vectors,
then #!F-adobe-times-bold-r-normal--18* min #!EF and #!F-adobe-times-bold-r-normal--18* max #!EF may also consist
of vectors of the same length to specify the range in
each dimension. Otherwise, the values given for #!F-adobe-times-bold-r-normal--18* min #!EF and
#!F-adobe-times-bold-r-normal--18* max #!EF will apply to each dimension. #!N #!I0 #!N
#!EF #!N #!N #!I0 #!N #!F-adobe-times-bold-r-normal--18* #!F-adobe-times-bold-r-normal--18* out #!EF #!EF #!I50
#!N specifies whether the module ignores data values outside the range
of #!F-adobe-times-bold-r-normal--18* min #!EF and #!F-adobe-times-bold-r-normal--18* max #!EF or includes them
in the first and last bins respectively. If #!F-adobe-times-bold-r-normal--18* data #!EF
consists of vectors, then #!F-adobe-times-bold-r-normal--18* out #!EF may be a vector
of the same length specifying how to treat each dimension. #!I0
#!N #!N #!N #!N #!I0 #!N Notes: #!N #!I30 #!N 1.
For the output, a "positions" component is constructed that consists of
#!F-adobe-times-bold-r-normal--18* bins #!EF +1 points, corresponding to the boundaries between bins.
#!N #!I30 #!N 2. A regular "connections" component is constructed that
consists of a set of line segments connecting the end points.
#!N #!I30 #!N 3. The "data" component, which is connection dependent,
contains the counts for the corresponding bin. #!N #!I30 #!N 4.
The interval for each bin is closed on the #!F-adobe-times-bold-r-normal--18* min
#!EF side and open on the #!F-adobe-times-bold-r-normal--18* max #!EF side. To
include the maximum data value: #!N #!I0 #!N #!F-adobe-times-medium-r-normal--18* #!N #!N
#!I30 #!N o set #!F-adobe-times-bold-r-normal--18* out #!EF to include outlying values
#!N #!N #!F-adobe-times-medium-i-normal--18* or #!EF #!N #!I30 #!N o set #!F-adobe-times-bold-r-normal--18*
max #!EF to a value slightly larger than the maximum data
value. #!N #!I0 #!N #!EF #!N #!I0 #!N #!N #!N #!N
To see the results of Histogram for scalar data, pass its
output to the Plot module. For 2-vector data, pass its output
to the RubberSheet module with a scale factor of 1. For
3-vector data, use either the Isolate module or use Include followed
by ShowBoundary. #!N #!N Components #!N #!N Creates new "positions," "connections,"
and "data" components. The data, representing the number of items in
each bin, is connections dependent. #!N #!N Example Visual Program #!CForestGreen
#!N #!N #!F-adobe-courier-bold-r-normal--18* #!N UsingEqualize.net #!N SIMPLE/Histogram.net #!EF #!N #!N #!EC
#!N #!N See Also #!N #!N #!Lequaliz,dxall831 h Equalize #!EL , #!Lplot,dxall904 h Plot #!EL , #!Lscale,dxall934 h Scale #!EL
#!N #!N #!N #!F-adobe-times-medium-i-normal--18* Next Topic #!EF #!N #!N #!Limage,dxall860 h Image #!EL #!N
#!F-adobe-times-medium-i-normal--18* #!N
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