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Subdivide
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Subdivide

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generates the list {0,1/n,2/n,…,1}.

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Subdivide[xmax,n]

generates the list of values obtained by subdividing the interval 0 to xmax into n equal parts.

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Subdivide[xmin,xmax,n]

generates the list of values from subdividing the interval xmin to xmax.

Details

  • Subdivide[…,n] generates a list of length n+1.

Examples

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Basic Examples  (3)Summary of the most common use cases

Subdivide the unit interval into 10 equal parts:

In[1]:=1
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https://wolfram.com/xid/0pupjyugmi-c2i8i9
Out[1]=1

Subdivide the interval 0 to 10 into 5 equal parts:

In[1]:=1
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https://wolfram.com/xid/0pupjyugmi-oz7edj
Out[1]=1

Subdivide the interval to 1 into 8 equal parts using machine precision:

In[1]:=1
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https://wolfram.com/xid/0pupjyugmi-eime4
Out[1]=1

Scope  (2)Survey of the scope of standard use cases

Subdivide a symbolic interval from a to b into 6 parts:

In[2]:=2
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https://wolfram.com/xid/0pupjyugmi-dgyqj1
Out[2]=2

Subdivide the interval from E to Pi using exact arithmetic:

In[1]:=1
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https://wolfram.com/xid/0pupjyugmi-d4rlsx
Out[1]=1

Use arbitrary-precision arithmetic starting with 21 digits:

In[2]:=2
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https://wolfram.com/xid/0pupjyugmi-hxs1x3
Out[2]=2

Properties & Relations  (3)Properties of the function, and connections to other functions

Subdivide[xmin,xmax,n] is equivalent to Range[xmin,xmax,(xmax-xmin)/n]:

In[1]:=1
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https://wolfram.com/xid/0pupjyugmi-fffmjs
Out[1]=1
In[2]:=2
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https://wolfram.com/xid/0pupjyugmi-pp725f
Out[2]=2

Subdivide[xmin,xmax,n] is equivalent to xmin+(xmax-xmin)Range[0,n]/n:

In[1]:=1
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https://wolfram.com/xid/0pupjyugmi-kmyf4f
Out[1]=1
In[2]:=2
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https://wolfram.com/xid/0pupjyugmi-fcbin2
Out[2]=2

Array[f,n,{a,b}] is equivalent to Map[f,Subdivide[a,b,n-1]]:

In[1]:=1
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https://wolfram.com/xid/0pupjyugmi-jegwju
Out[1]=1
In[2]:=2
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https://wolfram.com/xid/0pupjyugmi-2xaup9
Out[2]=2
Wolfram Research (2015), Subdivide, Wolfram Language function, https://reference.wolfram.com/language/ref/Subdivide.html.
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Wolfram Research (2015), Subdivide, Wolfram Language function, https://reference.wolfram.com/language/ref/Subdivide.html.

Text

Wolfram Research (2015), Subdivide, Wolfram Language function, https://reference.wolfram.com/language/ref/Subdivide.html.

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Wolfram Research (2015), Subdivide, Wolfram Language function, https://reference.wolfram.com/language/ref/Subdivide.html.

CMS

Wolfram Language. 2015. "Subdivide." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/Subdivide.html.

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Wolfram Language. 2015. "Subdivide." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/Subdivide.html.

APA

Wolfram Language. (2015). Subdivide. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/Subdivide.html

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Wolfram Language. (2015). Subdivide. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/Subdivide.html

BibTeX

@misc{reference.wolfram_2025_subdivide, author="Wolfram Research", title="{Subdivide}", year="2015", howpublished="\url{https://reference.wolfram.com/language/ref/Subdivide.html}", note=[Accessed: 13-April-2025 ]}

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@misc{reference.wolfram_2025_subdivide, author="Wolfram Research", title="{Subdivide}", year="2015", howpublished="\url{https://reference.wolfram.com/language/ref/Subdivide.html}", note=[Accessed: 13-April-2025 ]}

BibLaTeX

@online{reference.wolfram_2025_subdivide, organization={Wolfram Research}, title={Subdivide}, year={2015}, url={https://reference.wolfram.com/language/ref/Subdivide.html}, note=[Accessed: 13-April-2025 ]}

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@online{reference.wolfram_2025_subdivide, organization={Wolfram Research}, title={Subdivide}, year={2015}, url={https://reference.wolfram.com/language/ref/Subdivide.html}, note=[Accessed: 13-April-2025 ]}