binary operation in a sentence

Examples

1. String homomorphisms are monoid morphisms on the free monoid, preserving the empty string and the binary operation of string concatenation.
2. For the sake of simplicity, unless otherwise specified, a " left " external binary operation is implied.
3. I was treating infinity as an ideal element and exponentiation as a notational convenience, referring to an abstract binary operation.
4. If the cross product is defined as a binary operation, it takes as " input " exactly two vectors.
5. The relation d " introduced in this way defines a partial ordering from which the binary operation'" may be recovered.
6. Both are names sometimes given to a set with a binary operation with no other assumptions ( especially, not associativity ).
7. A binary operation \ scriptstyle * : A \ times A \ to \ mathfrak { G } is anticommutative if and only if
8. In mathematics, a "'set, together with a binary operation satisfying certain axioms, detailed in the group article.
9. Comprehensions, also called aggregates operations or reductions, are OptimJ expressions that extend a given binary operation over a collection of values.
10. All strictly increasing associative binary operations on the real numbers are isomorphic to multiplication of numbers in the interval [ 0, 1 ].