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A multigrade operator ${\displaystyle \Omega \!}$ is a parametric operator with parameter ${\displaystyle k\!}$ in the set ${\displaystyle \mathbb {N} \!}$ of non-negative integers.

The application of a multigrade operator ${\displaystyle \Omega \!}$ to a finite sequence of operands ${\displaystyle (x_{1},\ldots ,x_{k})\!}$ is typically denoted with the parameter ${\displaystyle k\!}$ left tacit, as the appropriate application is implicit in the number of operands listed. Thus ${\displaystyle \Omega (x_{1},\ldots ,x_{k})\!}$ may be taken for ${\displaystyle \Omega _{k}(x_{1},\ldots ,x_{k}).\!}$

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Portions of the above article were adapted from the following sources under the GNU Free Documentation License, under other applicable licenses, or by permission of the copyright holders.

• Multigrade Operator, InterSciWiki
• Multigrade Operator, PlanetMath
• Multigrade Operator, Wikinfo
• Multigrade Operator, Wikiversity
• Multigrade Operator, Wikiversity Beta
• Multigrade Operator, Wikipedia