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idempotent's Usage Examples:

magma (M, •) is said to be idempotent if: x • x = x.

If all elements are idempotent with respect to •, then • is called idempotent.

algebra, an idempotent matrix is a matrix which, when multiplied by itself, yields itself.

That is, the matrix A {\displaystyle A} is idempotent if and only.

every element is an additive idempotent (that is, a + a = a for all elements a) is called an idempotent semiring.

as safe, should also be idempotent, as HTTP is a stateless protocol.

In contrast, the POST method is not necessarily idempotent, and therefore sending.

algebra) an idempotent element, or simply an idempotent, of a ring is an element a such that a2 = a.

That is, the element is idempotent under the ring's.

In mathematics, a band (also called idempotent semigroup) is a semigroup in which every element is idempotent (in other words equal to its own square).

be defined algebraically: join and meet are associative, commutative, idempotent binary operations, and any such operation induces a partial order (and.

} A matrix M is idempotent when M 2 = M.

Idempotent matrices generalize the idempotent properties of 0 and 1.

Karoubi envelope (or Cauchy completion or idempotent completion) of a category C is a classification of the idempotents of C, by means of an auxiliary category.

substitution σ is called idempotent if σσ = σ, and hence tσσ = tσ for every term t.

The substitution { x1 ↦ t1, …, xk ↦ tk } is idempotent if and only if none.

\end{aligned}}} The matrix PX is idempotent, and more generally, the trace of any idempotent matrix equals its own rank.

} Such an element p is called a separability idempotent, since it satisfies p 2 = p {\displaystyle p^{2}=p} .

equal to its square for mapping composition (or, in other words, which is idempotent).

and multivariate statistics, the centering matrix is a symmetric and idempotent matrix, which when multiplied with a vector has the same effect as subtracting.

called contraction, and in such systems one may say that entailment is idempotent if and only if contraction is an admissible rule.

for which x2 = x for all x in R, that is, a ring that consists only of idempotent elements.

The identity matrix is the only idempotent matrix with non-zero determinant.

mathematics, an idempotent measure on a metric group is a probability measure that equals its convolution with itself; in other words, an idempotent measure is.

is a decomposition of an algebra as a sum of eigenspaces of commuting idempotent elements.

A rng homomorphism f : R → S maps any idempotent element to an idempotent element.

idempotent's Meaning':

unchanged in value following multiplication by itself

Synonyms:

unchanged;

Antonyms:

changed; altered;