Signature
✖
Signature
gives the signature of the permutation needed to place the elements of list in canonical order.
Examples
open allclose allBasic Examples (1)Summary of the most common use cases

https://wolfram.com/xid/0bil61gi-n3h


https://wolfram.com/xid/0bil61gi-o1r

Applications (3)Sample problems that can be solved with this function
Properties & Relations (2)Properties of the function, and connections to other functions
Find components of a 3D cross product:

https://wolfram.com/xid/0bil61gi-f9bt6y


https://wolfram.com/xid/0bil61gi-b86q90


https://wolfram.com/xid/0bil61gi-bobw1u

Compare with built‐in Det:

https://wolfram.com/xid/0bil61gi-j6ko2q

Possible Issues (2)Common pitfalls and unexpected behavior
The precision of a number influences its ordering:

https://wolfram.com/xid/0bil61gi-c46r8w


https://wolfram.com/xid/0bil61gi-t20s4

Signature evaluates even for symbolic arguments:

https://wolfram.com/xid/0bil61gi-ojdl8v

Use Unevaluated to insert an unevaluated Signature:

https://wolfram.com/xid/0bil61gi-dwonqb

Use Signature directly inside Table:

https://wolfram.com/xid/0bil61gi-lpy80x

Neat Examples (1)Surprising or curious use cases

https://wolfram.com/xid/0bil61gi-quf

Wolfram Research (1988), Signature, Wolfram Language function, https://reference.wolfram.com/language/ref/Signature.html.
Text
Wolfram Research (1988), Signature, Wolfram Language function, https://reference.wolfram.com/language/ref/Signature.html.
Wolfram Research (1988), Signature, Wolfram Language function, https://reference.wolfram.com/language/ref/Signature.html.
CMS
Wolfram Language. 1988. "Signature." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/Signature.html.
Wolfram Language. 1988. "Signature." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/Signature.html.
APA
Wolfram Language. (1988). Signature. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/Signature.html
Wolfram Language. (1988). Signature. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/Signature.html
BibTeX
@misc{reference.wolfram_2025_signature, author="Wolfram Research", title="{Signature}", year="1988", howpublished="\url{https://reference.wolfram.com/language/ref/Signature.html}", note=[Accessed: 05-June-2025
]}
BibLaTeX
@online{reference.wolfram_2025_signature, organization={Wolfram Research}, title={Signature}, year={1988}, url={https://reference.wolfram.com/language/ref/Signature.html}, note=[Accessed: 05-June-2025
]}