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Idempotent is an English word with synonyms like unchanged. Below you'll find 10+ example sentences showing how it's used in practice.

Rare word

Idempotent in a sentence

Related words

Idempotent | Idempotents

Idempotent meaning

  1. (said of a function) Such that, when performed multiple times on the same subject, it has no further effect on its subject after the first time it is performed.
  2. (said of an element of an algebraic structure with a binary operation, such as a group or semigroup) Such that, when it operates on itself, the result is equal to itself.
  3. (said of a binary operation) Such that all of the distinct elements it can operate on are idempotent (in the sense given just above).

Synonyms of Idempotent

unchanged

Related words

Other words often associated with Idempotent or its synonyms:

unaltered altered unedited timeless changed unrevised same unmoved unvarying unreduced

Using Idempotent

  • The main meaning on this page is: (said of a function) Such that, when performed multiple times on the same subject, it has no further effect on its subject after the first time it is performed. | (said of an element of an algebraic structure with a binary operation, such as a group or semigroup) Such that, when it operates on itself, the result is equal to itself. | (said of a binary operation) Such that all of the distinct elements it can operate on are idempotent (in the sense given just above).
  • Useful related words include: unchanged.
  • In the example corpus, idempotent often appears in combinations such as: is idempotent, an idempotent, are idempotent.

Context around Idempotent

  • Average sentence length in these examples: 20.4 words
  • Position in the sentence: 6 start, 7 middle, 7 end
  • Sentence types: 20 statements, 0 questions, 0 exclamations

Often before:

non 2× commutative 1× typically 1×

Often after:

semiring 1× usually 1× boolean 1× quasigroups 1× method 1× measures 1× functions 1× action 1×

Sentence patterns with Idempotent

These short patterns come directly from the example sentences and show how the word is often embedded:

least one idempotent 2× an idempotent semiring also 1× and non idempotent method 1× are not idempotent 1× commutative and idempotent in classical 1× commutative idempotent quasigroups satisfying 1× for each idempotent e of 1× is called idempotent if every 1×

Sentence openings and endings

Common sentence openings:

an idempotent semiring 1× both conjunction and 1× canceling an order 1× commutative idempotent quasigroups 1× each step in 1× examples a function 1×

Common sentence endings:

least one idempotent 2× and intuitionistic logic 1× and maximal subgroups 1× are idempotent functions 1× are not idempotent 1× called steiner quasigroups 1×

Words around Idempotent

Just before it in the word index:

idempotence 3 idemitsu 5 idemili 12 idemia 3 idem 9 idelson 3

Just after it in the word index:

idempotents 2 iden 2 ident 4 identi 2 identical 1.543 identically 67

Similar in corpus frequency:

abbeys 42 abundances 42 aced 42 ackman 42 actinides 42 adeboye 42

Corpus analysis for Idempotent

  • In this selection, "idempotent" usually appears in the middle of the sentence. The average example has 20.4 words, and this corpus slice is mostly made up of statements.
  • Around the word, non, commutative, typically, semiring, usually and boolean stand out and add context to how "idempotent" is used.
  • Recognizable usage signals include least one idempotent and an idempotent semiring also. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "idempotent" sits close to words such as abbeys, abundances and aced, which helps place it inside the broader word index.

Example types with idempotent

The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:

Short example sentences

Commutative idempotent quasigroups satisfying this additional property are called Steiner quasigroups. (11 words)

Finally, an inverse semigroup with only one idempotent is a group. (11 words)

It follows that every nonempty periodic semigroup has at least one idempotent. (12 words)

Longer example sentences

Each step in the sequence is idempotent: both steps reading the variable have no side effects and changing a variable to 5 will always have the same effect no matter how many times it is executed. (36 words)

For each idempotent e of the semigroup there is a unique maximal subgroup containing e. Each maximal subgroup arises in this way, so there is a one-to-one correspondence between idempotents and maximal subgroups. (35 words)

It is perfectly possible to write a web application in which (for example) a database insert or other non-idempotent action is triggered by a GET or other request. (29 words)

Example sentences (20)

An idempotent semiring (also sometimes called a dioid) is a semiring whose addition (not multiplication) is idempotent.

The binary operation itself is called idempotent if every element of is idempotent.

While "idempotent" usually refers to the multiplication operation of a ring, there are rings in which both operations are idempotent: Boolean algebras are such an example.

As in the example above, reading data usually has no side effects, so it is idempotent (in fact nullipotent).

Both conjunction and disjunction are associative, commutative and idempotent in classical logic, most varieties of many-valued logic and intuitionistic logic.

Canceling an order is idempotent, because the order remains canceled no matter how many requests are made.

Commutative idempotent quasigroups satisfying this additional property are called Steiner quasigroups.

Each step in the sequence is idempotent: both steps reading the variable have no side effects and changing a variable to 5 will always have the same effect no matter how many times it is executed.

Advertentie

Examples A function looking up a customer's name and address in a database is typically idempotent, since this will not cause the database to change.

Finally, an inverse semigroup with only one idempotent is a group.

For each idempotent e of the semigroup there is a unique maximal subgroup containing e. Each maximal subgroup arises in this way, so there is a one-to-one correspondence between idempotents and maximal subgroups.

For example, every nonempty finite semigroup is periodic, and has a minimal ideal and at least one idempotent.

Formal languages The Kleene star and Kleene plus operators used to express repetition in formal languages are idempotent.

However, placing an order for a car for the customer is typically not idempotent, since running the call several times will lead to several orders being placed.

If a method is unknown to an intermediate it will be treated as an unsafe and non-idempotent method.

In each case, subsequent executions will further modify the state of the system, so they are not idempotent.

In On a conjecture of Littlewood and idempotent measures (1960) Cohen made a significant breakthrough in solving the Littlewood Conjecture. citation.

It follows that every nonempty periodic semigroup has at least one idempotent.

It is an example of a closure operator ; all closure operators are idempotent functions.

It is perfectly possible to write a web application in which (for example) a database insert or other non-idempotent action is triggered by a GET or other request.

Advertentie

Common combinations with idempotent

These word pairs occur most frequently in English texts:

Frequently asked questions

How do you use "idempotent" in a sentence?
An example: "An idempotent semiring (also sometimes called a dioid) is a semiring whose addition (not multiplication) is idempotent." This page contains 10+ example sentences with the word "idempotent" from authentic English texts.
What does "idempotent" mean?
Idempotent means: (said of a function) Such that, when performed multiple times on the same subject, it has no further effect on its subject after the first time it is performed.
What are synonyms of "idempotent"?
Common synonyms of "idempotent" include: unchanged.
How many example sentences with "idempotent" are there?
Voorbeeldzinnen.info contains at least 10+ example sentences with "idempotent", drawn from a database of millions of English sentences.