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On this page you'll find 8 example sentences with Preimage. Discover the meaning, how to use the word correctly in a sentence.

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Preimage in a sentence

Preimage meaning

For a given function, the set of all elements of the domain that are mapped into a given subset of the codomain; (formally) given a function ƒ : X → Y and a subset B ⊆ Y, the set ƒ⁻¹(B) = {x ∈ X : ƒ(x) ∈ B}.

Using Preimage

  • The main meaning on this page is: For a given function, the set of all elements of the domain that are mapped into a given subset of the codomain; (formally) given a function ƒ : X → Y and a subset B ⊆ Y, the set ƒ⁻¹(B) = {x ∈ X : ƒ(x) ∈ B}.
  • In the example corpus, preimage often appears in combinations such as: the preimage, preimage of.

Context around Preimage

  • Average sentence length in these examples: 23 words
  • Position in the sentence: 1 start, 7 middle, 0 end
  • Sentence types: 8 statements, 0 questions, 0 exclamations

Often before:

full 1×

Often after:

citation 1×

Sentence patterns with Preimage

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

consequence the preimage is not 1× for full preimage citation citation 1× if the preimage of every 1× of the preimage and after 1× since the preimage of any 1× that the preimage of an 1× the preimage of a 1× which the preimage of each 1×

Sentence openings and endings

Common sentence openings:

a function between 1× as a consequence 1× every ring homomorphism 1× for instance a 1× the ideal way 1× the preimage of 1×

Common sentence endings:

set is measurable 2× acquire the figure 1× has arrived intact 1× ideal in r 1× is not empty 1× set is open 1×

Words around Preimage

Just before it in the word index:

preignition 3 preidler 2 preiato 2 prehospital 4 prehistory 93 prehistorically 2

Just after it in the word index:

preimplantation 5 preindustrial 15 preinstalled 22 preis 7 preiss 7 preisser 3

Similar in corpus frequency:

aargau 11 abacos 11 abboud 11 abbreviate 11 abdelkader 11 abdomens 11

Corpus analysis for Preimage

  • In this selection, "preimage" usually appears in the middle of the sentence. The average example has 23 words, and this corpus slice is mostly made up of statements.
  • Around the word, full and citation stand out and add context to how "preimage" is used.
  • Recognizable usage signals include consequence the preimage is not and for full preimage citation citation. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "preimage" sits close to words such as aargau, abacos and abboud, which helps place it inside the broader word index.

Example types with preimage

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

As a consequence, the preimage is not empty. (8 words)

This is just the statement that the preimage of an open set is open. (14 words)

The preimage of a finite point group is called by the same name, with the prefix binary. (17 words)

Longer example sentences

This attack is only theoretical, with a computational complexity of 2 123.4 for full preimage. citation citation Applications MD5 digests have been widely used in the software world to provide some assurance that a transferred file has arrived intact. (40 words)

The ideal way to carry out a transformation on an object is to carry out the essential operations on the vertices of the preimage and after that connect the dots to acquire the figure. (34 words)

Every ring homomorphism f : R → S induces a continuous map Spec(f) : Spec(S) → Spec(R) (since the preimage of any prime ideal in S is a prime ideal in R). (31 words)

Example sentences (8)

The ideal way to carry out a transformation on an object is to carry out the essential operations on the vertices of the preimage and after that connect the dots to acquire the figure.

A function between two measurable spaces is called a measurable function if the preimage of every measurable set is measurable.

As a consequence, the preimage is not empty.

Every ring homomorphism f : R → S induces a continuous map Spec(f) : Spec(S) → Spec(R) (since the preimage of any prime ideal in S is a prime ideal in R).

For instance, a real-valued measurable function is a function for which the preimage of each Borel set is measurable.

The preimage of a finite point group is called by the same name, with the prefix binary.

This attack is only theoretical, with a computational complexity of 2 123.4 for full preimage. citation citation Applications MD5 digests have been widely used in the software world to provide some assurance that a transferred file has arrived intact.

This is just the statement that the preimage of an open set is open.

Common combinations with preimage

These word pairs occur most frequently in English texts:

Frequently asked questions

How do you use "preimage" in a sentence?
An example: "The ideal way to carry out a transformation on an object is to carry out the essential operations on the vertices of the preimage and after that connect the dots to acquire the figure." This page contains 8 example sentences with the word "preimage" from authentic English texts.
What does "preimage" mean?
Preimage means: For a given function, the set of all elements of the domain that are mapped into a given subset of the codomain; (formally) given a function ƒ : X → Y and a subset B ⊆ Y, the set ƒ⁻¹(B) = {x ∈ X : ƒ(x) ∈ B}.
How many example sentences with "preimage" are there?
Voorbeeldzinnen.info contains 8 example sentences with "preimage", drawn from a database of millions of English sentences.