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A sequence of idempotent subroutines where at least one subroutine is different from the others, however, is not necessarily idempotent if a later subroutine in the sequence changes a value that an earlier subroutine depends on—idempotence is not closed under sequential composition. For example, suppose the initial value of a variable is 3 ...
setx is idempotent because the second application of setx to 3 has the same effect on the system state as the first application: x was already set to 3 after the first application, and it is still set to 3 after the second application. A pure function is idempotent if it is idempotent in the mathematical sense. For instance, consider the ...
The compare function is included to illustrate a partial order on the states. The merge function is commutative, associative, and idempotent. The update function monotonically increases the internal state according to the compare function. This is thus a correctly defined state-based CRDT and will provide strong eventual consistency.
In contrast, the methods POST, CONNECT, and PATCH are not necessarily idempotent, and therefore sending an identical POST request multiple times may further modify the state of the server or have further effects, such as sending multiple emails. In some cases this is the desired effect, but in other cases it may occur accidentally.
In mathematics, an idempotent binary relation is a binary relation R on a set X (a subset of Cartesian product X × X) for which the composition of relations R ∘ R is the same as R. [ 1 ] [ 2 ] This notion generalizes that of an idempotent function to relations.
An idempotent e: A → A is said to split if there is an object B and morphisms f: A → B, g : B → A such that e = g f and 1 B = f g. The Karoubi envelope of C , sometimes written Split(C) , is the category whose objects are pairs of the form ( A , e ) where A is an object of C and e : A → A {\displaystyle e:A\rightarrow A} is an ...
As a noun, it is in effect an abbreviation for idempotent element. For this, redirecting idempotent to Idempotence seems okay, as the article does deal with it and gives a link to the main article. The general concept of an idempotent element with respect to a binary operation is the abstract algebraic topic, dealt with by Idempotent element ...
In computer science, a deterministic algorithm is an algorithm that, given a particular input, will always produce the same output, with the underlying machine always passing through the same sequence of states.