Kommutatiewe bewerking: Verskil tussen weergawes
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Lyn 20:
Verdere voorbeelde van kommutatiewe binêre bewerkings sluit sommering en vermenigvuldiging van [[komplekse getal]]le, sommering van [[vektor-ruimte|vektor]]e en die [[snyding (versameliingsteorie)|snyding]]- en [[vereniging (versamelingsteorie)|vereniging]] van [[versameling]]s. In elke geval is hierdie bewerkinge kommutatief oor die getaldomein in sy geheel.
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▲Among the noncommutative binary operations are [[subtraction]] (''a'' − ''b''), [[division (mathematics)|division]] (''a''/''b''), [[exponentiation]] (''a''<sup>''b''</sup>), [[function composition]] (''f'' <small>o</small> ''g''), [[tetration]] (''a''↑↑''b''), [[matrix (mathematics)|matrix]] multiplication, and [[quaternion]] multiplication.
A real life example of noncommutativity is the [[Rubik's Cube]]: for example, twisting the front face clockwise, the top face clockwise and the front face counterclockwise (FUF') does not yield the same result as twisting the front face clockwise, then counterclockwise and finally twisting the top clockwise (FF'U). The twists don't commute. This is studied in [[group theory]].
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