idempotent

(ˈaɪdəmˌpəʊtənt; ˈɪd-)

adj

(Mathematics) maths (of a matrix, transformation, etc) not changed in value following multiplication by itself

[C20: from Latin idem same + potent¹]

Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

i•dem•po•tent

(ˈaɪ dəmˈpoʊt nt, ˈɪd əm-)
Math. adj.

1. (of a number or matrix) unchanged when multiplied by itself.

2. an idempotent element.

[1870; idem + potent¹]

ThesaurusAntonymsRelated WordsSynonymsLegend:

Adj.

idempotent - unchanged in value following multiplication by itself; "this matrix is idempotent"

math, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement

unchanged - not made or become different; "the causes that produced them have remained unchanged"

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References in periodicals archive

Recall that a matrix A in [M.sub.n](L) is called idempotent if [A.sup.2] = A.

On decompositions of matrices over distributive lattices

Let S be a regular semigroup with set E(S) of idempotent elements.

Amenable partial orders on locally inverse semigroup

Contrary to the orthogonal projection is idempotent and Hermitian, the oblique one is idempotent and not Hermitian.

Improved blind source extraction for time delay estimate in passive coherent location system

Since the mapping [sigma] is idempotent, [sigma]([empty set]) = S and [sigma]([H.sub.1] [union] [H.sub.2]) = [sigma]([H.sub.1]) [intersection] [sigma]([H.sub.2]) for all [H.sub.1], [H.sub.2] [member of] S, the proof is clear.

Semi-open and semi-closed sets in ditopological texture spaces

Let t be the smallest positive integer for which [r.sup.t] is idempotent for every r [member of] [R.sub.c] and the exponent of G divides t.

The extended equivalence and equation solvability problems for groups

If e is an idempotent of T and [f.sup.-1](e) is nonempty then [f.sup.-1](e) is an inverse sub semigroup of S.

Toplogical properties of inverse semigroups

In particular, they are idempotent and they follow the semi-group absorption law, i.e., [for all] n [greater than or equal to] m [greater than or equal to] 0,we have

Structurally adaptive mathematical morphology based on nonlinear scale-space decompositions

Now we have the fact that for any idempotent e, d(y(1 - e))e = -y(1 - e)d(e), ed(e)e = 0 and so

On the annihilators of derivations with engel conditions in prime rings

The time series of discriminants (dsk [M.sub.n]), discriminant coefficients (dskCoeff [M.sub.n]) and idempotent coefficients (IdeCoeff [M.sub.n]) are calculated from two time series: duration of RR interval taken from the II standard lead and duration of JT interval of the V standard lead.

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