How To Use Idempotent In A Sentence
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this matrix is idempotent
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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
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As mentioned earlier, Boole gave inadequate sets of equational axioms for his system, originally starting with the two laws due to Gregory plus his idempotent law; these were accompanied by De Morgan's inference rule that one could carry out the same operation
The Algebra of Logic Tradition
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Read his paper, On a conjecture of Littlewood and idempotent measures, American Journal of Mathematics 82, 191-212.
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For example, every nonempty finite semigroup is periodic, and has a minimal ideal and at least one idempotent.
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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.
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The purpose of addpath is to add a pathel (path element) to a pathvar (path variable) in an idempotent fashion.
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This paper deals with orthodox semirings whose additive idempotents satisfy permutation identities.
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As mentioned earlier, Boole gave inadequate sets of equational axioms for his system, originally starting with the two laws due to Gregory plus his idempotent law; these were accompanied by De Morgan's inference rule that one could carry out the same operation
The Algebra of Logic Tradition
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For example, as long as the arguments satisfy the relevant condition ξ, × is idempotent, commutative, and associative, and it interacts with + in conformity with the the following distribution laws:
Wild Dreams Of Reality, 3
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Alsatian stoning reexamining calorimetric? nonidempotent Vinson
The Volokh Conspiracy » If You Want to Be A Law Professor,
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We first define the algebra of(finite) independent subsets of the ordered monoid M, and prove that the algebra of finite independent subsets of M is an idempotent semiring.
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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
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On your last few paragraphs, I'm not sure I get your comment about it being "idempotent" with creationist second law arguments - though I can't say I'm terribly familiar with those.
Rabett Run
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My first instinct would be to stop using the pretentious word "idempotent
Reddit.com: what's new online!
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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
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We have already seen the addpath function, which performs an idempotent addition of a pathel to a pathvar.
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The act of providing information is idempotent, at least from the perspective of the user; any side-effects of a CARBON request are the responsibility of the entity that handles them, just like with an HTTP GET request.
Snell-Pym » Designing a global knowledge base
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He used the, now familiar, tools of idempotent and nilpotent elements.
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Idempotent operator algebras acting on a Hilbert space H are defined.
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My first instinct would be to stop using the pretentious word "idempotent", which is a symptom of the Haskellers 'disease of assuming that math terminology is a good way to concisely communicate concepts to non-mathematicians ...
Reddit.com: what's new online!
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He used the, now familiar, tools of idempotent and nilpotent elements.
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A together with • and ·, along with 0 and 1, forms a ring with identity in which every element is idempotent.
The Mathematics of Boolean Algebra
