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FindDivisions

FindDivisions
finds a list of about n "nice" numbers that divide the interval around to 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 .
  • 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.
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]:=
Click for copyable input
Out[1]=
 
Division end points may be outside the initial range:
In[1]:=
Click for copyable input
Out[1]=
 
Generate multiple levels of divisions:
In[1]:=
Click for copyable input
Out[1]=
 
Find divisions that are aligned to multiples of :
In[1]:=
Click for copyable input
Out[1]=
In[2]:=
Click for copyable input
Out[2]=
 
Find divisions that are short in a given base:
In[1]:=
Click for copyable input
Out[1]//BaseForm=
In[2]:=
Click for copyable input
Out[2]//BaseForm=
In[3]:=
Click for copyable input
Out[3]//BaseForm=
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