idempotent definitions and example sentences on Wordnik

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Definitions (2)

In multiple algebra, a quantity which multiplied into itself gives itself. Ordinary unity is idempotent.

A together with â and Â·, along with 0 and 1, forms a ring with identity in which every element is idempotent. — The Mathematics of Boolean Algebra
These two processes are inverses of one another, and show that the theory of Boolean algebras and of rings with identity in which every element is idempotent are definitionally equivalent. — The Mathematics of Boolean Algebra
His fascination with the possibilities of ordinary algebra led him to consider questions such as: What would logic be like if the idempotent law were replaced by the law X3 = X? — The Algebra of Logic Tradition
He was interested in the structure of rings of linear operators and realized that the central idempotents, that is, the operators E that commuted with all other operators in the ring under multiplication (that is, EL = LE for all L in the ring) and which were idempotent under multiplication — The Algebra of Logic Tradition
The purpose of this clause is to ensure that the command is idempotent -- that is that it only runs if it needs to. — Phil Windley's Technometria