BUILT-IN MATHEMATICA SYMBOL
FindDivisions
FindDivisions[{xmin, xmax}, n]
finds a list of about n "nice" numbers that divide the interval around 
to 
into equally spaced parts.
FindDivisions[{xmin, xmax, dx}, n]
makes the parts always have lengths that are integer multiples of dx.
FindDivisions[{xmin, xmax}, {n1, n2, ...}]
finds successive subdivisions into about 
, 
, ... parts.
FindDivisions[{xmin, xmax, {dx1, dx2, ...}}, {n1, n2, ...}]
uses spacings that are forced to be multiples of 
, 
, ....
FindDivisions[{xmin, xmax, {dx1, dx2, ...}}]
gives all numbers in the interval that are multiples of the 
.
- FindDivisions[{xmin, xmax}, n] searches for numbers that are shortest in their decimal representation.
- FindDivisions[{xmin, xmax}, n, k] searches for numbers that are shortest in their base k representation.
- The first and last numbers may be slightly outside the range
to 
.
- The
can be exact numbers such as Pi/2 specified in symbolic form.
- FindDivisions[{xmin, xmax}, {n1, n2, ...}] yields a list of lists, in which later lists omit elements that occur in earlier lists.
- For some choices of
, some of the lists generated may be empty.
Find five divisions of the interval [0,1]:
| Out[1]= |  |
Division end points may be outside the initial range:
| Out[1]= |  |
Generate multiple levels of divisions:
| Out[1]= |  |
Find divisions that are aligned to multiples of 
:
| Out[1]= |  |
| Out[2]= |  |
Find divisions that are short in a given base:
Out[1]//BaseForm= |
| |  |
Out[2]//BaseForm= |
| |  |
Out[3]//BaseForm= |
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New in 7
