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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“You may read any quantity of books, and you may almost as ignorant as you were at starting, if you don’t have, at the back of your minds, the change for words in definite images which can only be acquired through the operation of your observing faculties on the phenomena of nature.”
—Thomas Henry Huxley (1825–95)