CircleTimes[x]
displays as
.
CircleTimes[x,y,…]
displays as
.
CircleTimes 
CircleTimes[x]
displays as
.
CircleTimes[x,y,…]
displays as
.
Details
- CircleTimes[x,y,…] has no built-in meaning.
is by default interpreted as CircleTimes[x,y].
can be entered as \[CircleTimes] or
c*
.
Examples
open all close allBasic Examples (3)
A CircleTimes expression is formatted as an
-ary operation with operator ⊗:
CircleTimes[x, y, z]Input using the ⊗ operator is interpreted as a CircleTimes expression:
x⊗y⊗z//FullFormCircleTimes has no built-in meaning or symbolic operations:
CircleTimes[x, y, z] + CircleTimes[a, b, c]Scope (1)
CircleTimes for various numbers of arguments:
Table[CircleTimes@@Range[n], {n, 0, 3}]Applications (1)
CircleTimes[a_, b_] := KroneckerProduct[a, b]RectangularMatrix[a_, {m_, n_}] := Array[Subscript[a, ##]&, {m, n}]RectangularMatrix[a, {2, 2}]⊗RectangularMatrix[b, {3, 2}]//TraditionalFormClear[CircleTimes]Tech Notes
History
Introduced in 1996 (3.0)
Text
Wolfram Research (1996), CircleTimes, Wolfram Language function, https://reference.wolfram.com/language/ref/CircleTimes.html.
CMS
Wolfram Language. 1996. "CircleTimes." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/CircleTimes.html.
APA
Wolfram Language. (1996). CircleTimes. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/CircleTimes.html
BibTeX
@misc{reference.wolfram_2026_circletimes, author="Wolfram Research", title="{CircleTimes}", year="1996", howpublished="\url{https://reference.wolfram.com/language/ref/CircleTimes.html}", note=[Accessed: 13-June-2026]}
BibLaTeX
@online{reference.wolfram_2026_circletimes, organization={Wolfram Research}, title={CircleTimes}, year={1996}, url={https://reference.wolfram.com/language/ref/CircleTimes.html}, note=[Accessed: 13-June-2026]}