Idempotent element   (translated from Russian)
Idempotent element Idempotent element (from lat. idem - the same and ... 2=.e&.lt;/.matyu&.gt;. Connected determinations Idempotent element of &.lt;.matyu&.gt;.e&.lt;/.matyu&.gt; it contains the idempotent element of &.lt;.matyu&.gt;.f&.lt ... lt;.matyu&.gt;.E&.lt;/.matyu&.gt; idempotent elements it is called natural partial ...
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Idempotence
... in mathematics. Given a binary operation, an idempotent element (or simply an idempotent) is something that when multiplied by (for ... the only two real numbers which are idempotent under multiplication are 0 and 1. A ... unary operation (i.e., a function), is idempotent if, whenever it is applied twice to ... For example, the greatest integer function is idempotent as a function from the set ...
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Semiring
... is one whose multiplication is commutative. An idempotent semiring (also known as a dioid) is one whose addition is idempotent: a + a = a. N.B. There are ... Any bounded, distributive lattice is a commutative, idempotent semiring under join and meet. In particular ... as semiring—indeed, a ring—but it is not idempotent under addition. A Kleene algebra is an idempotent semiring R with an additional unary ...
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Idempotence (computer science)
... similarly to the idempotence notion in mathematics. Idempotent header files C header files are often designed to be idempotent, that is, if the header file is ... HTTP GET requests are supposed to be idempotent. The web infrastructure makes this assumption and ... input forms) are not meant to be idempotent, so the result of a POST request ... In user interface design, a button is "idempotent" if pressing it more than once ...
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Semigroup
... matrix multiplication. A semigroup that has an idempotent operation is a band . A semigroup that has a commutative idempotent operation is a semilattice. A transformation semigroup ... then it must contain at least one idempotent. It follows that every nonempty periodic semigroup has at least one idempotent. A subsemigroup which is also a group ... its idempotents. Each subgroup contains exactly one idempotent, namely the identity element of the ...
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Talk:Functional programming
... There is root syntax set that is idempotent e.g. i = 2 + 2 never has ... a body of a method contains only idempotent operations, it is also idempotent and if a method only calls other idempotent methods it is idempotent. This is actually a real feature ( ...
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Idempotenz   (translated from German)
... operations one designates one Function exactly as idempotent if applies $f(x)\; =\; (f\backslash circ\; ...\; Logischen\; And\; are\; both\; Truely\; and\; Wrongly$idempotent Under the combination and the Duchschnitt in that Mengenlehre all quantities are idempotent Idempotente stencils A square Matrix A of ... n over any Body K is called idempotent exactly if by her induced lineare illustration ... math> in accordance with above definition is idempotent. This is exactly the case if ...
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Talk:Idempotence
Talk:Idempotence > Elevator call buttons are idempotent, though many people think they are not ... Pronunciation? Is there a correct pronunciation for idempotent? Is it like omnipotent (om-nip-o ... The opening sentence is "In mathematics, an idempotent element (IPA [ˈaɪdɛmˌpotnt/, like eye-dem-potent ... my opinion would be "In mathematics an idempotent is, intuitvely, something which changes something, but ... For what it's worth I pronounce idempotent with a short 'i', as in ...
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Linear regression
... X(X′X) −1 X′ is a symmetric idempotent matrix is incessantly relied on both in ... X′ that appears above is a symmetric idempotent matrix of rank n − 2. Here ... matrix. If the matrix M is also idempotent, then the diagonal entries in G′MG must be idempotent numbers. Only two real numbers are idempotent: 0 and 1. So I n ...
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Linear regression (Psychology wiki)
... X(X′X) −1 X′ is a symmetric idempotent matrix is incessantly relied on both in ... X′ that appears above is a symmetric idempotent matrix of rank n − 2. Here ... matrix. If the matrix M is also idempotent, then the diagonal entries in G′MG must be idempotent numbers. Only two real numbers are idempotent: 0 and 1. So I n ...
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