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BUILT-IN MATHEMATICA SYMBOL

FindDivisions

finds a list of about n "nice" numbers that divide the interval around

into equally spaced parts.

FindDivisions

makes the parts always have lengths that are integer multiples of dx.

FindDivisions

finds successive subdivisions into about

, ... parts.

FindDivisions

uses spacings that are forced to be multiples of

, ....

FindDivisions

gives all numbers in the interval that are multiples of the

MORE INFORMATION

FindDivisions searches for numbers that are shortest in their decimal representation.

FindDivisions 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 specified in symbolic form.

FindDivisions 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.

EXAMPLES

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Basic Examples (5)

Find five divisions of the interval [0,1]:

Division end points may be outside the initial range:

Generate multiple levels of divisions:

Find divisions that are aligned to multiples of

Find divisions that are short in a given base:

Find five divisions of the interval [0,1]:

In[1]:=

Out[1]=

Division end points may be outside the initial range:

In[1]:=

Out[1]=

Generate multiple levels of divisions:

In[1]:=

Out[1]=

Find divisions that are aligned to multiples of

In[1]:=

Out[1]=

In[2]:=

Out[2]=

Find divisions that are short in a given base:

In[1]:=

Out[1]//BaseForm=

In[2]:=

Out[2]//BaseForm=

In[3]:=

Out[3]//BaseForm=