In mathematics, a binary operation on a set is a calculation involving two elements of the set (called operands) and producing another element of the set (more formally, an operation whose arity is two). Examples include the familiar elementary arithmetic operations of addition, subtraction, multiplication and division. Other examples are readily found in different areas of mathematics, for example, vector addition, matrix multiplication and conjugation in groups.
Read more about Binary Operation: Terminology, Properties and Examples, Notation, Pair and Tuple, Binary Operations As Ternary Relations, External Binary Operations
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“Human knowledge and human power meet in one; for where the cause is not known the effect cannot be produced. Nature to be commanded must be obeyed; and that which in contemplation is as the cause is in operation as the rule.”
—Francis Bacon (1560–1626)