WOLFRAM

Wolfram Language & System Documentation Center

Unitize[x]

gives 0 when x is zero, and 1 when x has any other numerical value.

Details
Details and Options Details and Options
Examples  
Basic Examples  
Applications  
See Also
Related Guides
History
Cite this Page

Unitize

Unitize[x]

gives 0 when x is zero, and 1 when x has any other numerical value.

Details

Examples

open all close all

Basic Examples  (3)

Convert numerical values to zero or one:

Wolfram Language code: Unitize[Pi]
Wolfram Language code: Unitize[Sqrt[2] + Sqrt[3] - Sqrt[5 + 2Sqrt[6]]]

Convert values less than 3 in magnitude to zero:

Wolfram Language code: Unitize[E, 3]
Wolfram Language code: Unitize[Pi, 3]

Replace values in a matrix with zeros or ones:

Wolfram Language code: m = {{-2, 1, 0, 1}, {1, -2, 1, 0}, {0, 1, -2, 1}, {1, 0, -2, 1}};
Wolfram Language code: Unitize[m]

Show a plot that emphasizes structure:

Wolfram Language code: ArrayPlot[%]

Applications  (1)

Determine if a sparse matrix is structurally symmetric:

Wolfram Language code: ArrayPlot[m = SparseArray[{Band[{1, 2}] -> 1, Band[{2, 1}] -> -1}, {25, 25}]]
Wolfram Language code: {SymmetricMatrixQ[m], SymmetricMatrixQ[Unitize[m]]}
Wolfram Research (2007), Unitize, Wolfram Language function, https://reference.wolfram.com/language/ref/Unitize.html.

Text

Wolfram Research (2007), Unitize, Wolfram Language function, https://reference.wolfram.com/language/ref/Unitize.html.

CMS

Wolfram Language. 2007. "Unitize." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/Unitize.html.

APA

Wolfram Language. (2007). Unitize. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/Unitize.html

BibTeX

@misc{reference.wolfram_2026_unitize, author="Wolfram Research", title="{Unitize}", year="2007", howpublished="\url{https://reference.wolfram.com/language/ref/Unitize.html}", note=[Accessed: 13-June-2026]}

BibLaTeX

@online{reference.wolfram_2026_unitize, organization={Wolfram Research}, title={Unitize}, year={2007}, url={https://reference.wolfram.com/language/ref/Unitize.html}, note=[Accessed: 13-June-2026]}