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NonCommutativeMultiply
a
**
b
**
c is a general associative, but non-commutative, form of multiplication.
NonCommutativeMultiply has attribute Flat. Instances of NonCommutativeMultiply are automatically flattened, but no other simplification is performed. You can use NonCommutativeMultiply as a generalization of ordinary multiplication for special mathematical objects. See the Mathematica book: Section A.2.7. See also: Dot, Times, Cross.
Further Examples
Multiplication is a commutative operation.
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But the noncommutative operator ** does not have this property.
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