Random word

Wondering how to use Injective in a sentence? Below are 10+ example sentences from authentic English texts. Including the meaning .

Rare word

Injective in a sentence

Injective meaning

  1. Of, relating to, or being an injection: such that each element of the image (or range) is associated with at most one element of the preimage (or domain); inverse-deterministic
  2. Loosely, having a certain generalizing property, abstracted from the study of ℚ as a ℤ-module. Formally, such that any short exact sequence of (left) R-modules beginning with M splits, or any of several equivalent statements: See Injective module.
  3. Loosely, having a property analogous to that which characterizes injective modules (see above). Formally, such that, given a monomorphism f:X→Y in C, for every morphism g:X→Q there exists a morphism h:Y→Q such that h∘f=g; see Injective object.

Using Injective

  • The main meaning on this page is: Of, relating to, or being an injection: such that each element of the image (or range) is associated with at most one element of the preimage (or domain); inverse-deterministic | Loosely, having a certain generalizing property, abstracted from the study of ℚ as a ℤ-module. Formally, such that any short exact sequence of (left) R-modules beginning with M splits, or any of several equivalent statements: See Injective module. | Loosely, having a property analogous to that which characterizes injective modules (see above). Formally, such that, given a monomorphism f:X→Y in C, for every morphism g:X→Q there exists a morphism h:Y→Q such that h∘f=g; see Injective object.
  • In the example corpus, injective often appears in combinations such as: is injective, an injective, injective and.

Context around Injective

  • Average sentence length in these examples: 19.4 words
  • Position in the sentence: 5 start, 10 middle, 5 end
  • Sentence types: 20 statements, 0 questions, 0 exclamations

Often before:

indecomposable 1× simple 1× projective 1× markets 1× week 1× think 1× necessarily 1× non 1×

Often after:

modules 3× module 1× may 1× partial 1× abelian 1× inqubeta 1× protocol 1× surges 1× lipschitz 1× immersion 1×

Sentence patterns with Injective

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

a non injective and therefore 1× as an injective lipschitz function 1× b is injective 1× be an injective immersion which 1× be both injective and surjective 1× conversely every injective abelian group 1× every injective module can 1× g is injective we have 1×

Sentence openings and endings

Common sentence openings:

a function f 2× a partial function 2× a bilipschitz function 1× a parameterization is 1× a set x 1× algebra in general 1×

Common sentence endings:

a null set 1× and okx listingcoinjournal 1× b is injective 1× baer s criterion 1× current price point 1× indecomposable injective modules 1×

Words around Injective

Just before it in the word index:

injections 268 injection 744 injecting 224 injected 476 injectables 19 injectable 65

Just after it in the word index:

injector 43 injectors 38 injects 55 injera 7 injong 2 injudicious 3

Similar in corpus frequency:

abalone 76 abomination 76 accountancy 76 aed 76 akkadian 76 alisha 76

Corpus analysis for Injective

  • In this selection, "injective" usually appears in the middle of the sentence. The average example has 19.4 words, and this corpus slice is mostly made up of statements.
  • Around the word, indecomposable, simple, projective, modules, module and may stand out and add context to how "injective" is used.
  • Recognizable usage signals include a non injective and therefore and as an injective lipschitz function. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "injective" sits close to words such as abalone, abomination and accountancy, which helps place it inside the broader word index.

Example types with injective

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

Injective surges after latest burn auction and OKX listingcoinjournal. (9 words)

A partial function may be both injective and surjective. (9 words)

A function f with a left inverse is necessarily injective. (10 words)

Longer example sentences

Although it is impossible to reverse a non-injective (and therefore information-losing) function, one can at least obtain a "quasi-inverse" of it, that is a multiple-valued function. (30 words)

An embedding, or a smooth embedding, is defined to be an injective immersion which is an embedding in the topological sense mentioned above (i.e. homeomorphism onto its image). (29 words)

Algebra In general, for an algebraic category C, an embedding between two C-algebraic structures X and Y is a C-morphism e:X→Y which is injective. (28 words)

Example sentences (20)

Every injective module can be decomposed as direct sum of indecomposable injective modules.

Furthermore, a total function which is injective may be inverted to an injective partial function.

If there is a surjection from A to B that is not injective, then no surjection from A to B is injective.

Then each is an abelian category and we have an inclusion functor identifying the simple projective, simple injective and indecomposable projective-injective modules.

Thus divisible groups are injective modules in the category of abelian groups, and conversely, every injective abelian group is divisible ( Baer's criterion ).

Bitcoin’s rise tops traditional markets: Injective & InQubeta prepare to jumpcoinjournal.

During the last week, Injective Protocol has traded down 3.5% against the U.S. dollar.

Injective surges after latest burn auction and OKX listingcoinjournal.

Advertentie

Therefore, I think Injective is a bad investment that investors should steer clear of or dump at the current price point.

A bilipschitz function is the same thing as an injective Lipschitz function whose inverse function is also Lipschitz.

A function f that is not injective is sometimes called many-to-one.

A function f with a left inverse is necessarily injective.

Algebra In general, for an algebraic category C, an embedding between two C-algebraic structures X and Y is a C-morphism e:X→Y which is injective.

Although it is impossible to reverse a non-injective (and therefore information-losing) function, one can at least obtain a "quasi-inverse" of it, that is a multiple-valued function.

An embedding, or a smooth embedding, is defined to be an injective immersion which is an embedding in the topological sense mentioned above (i.e. homeomorphism onto its image).

A parameterization is generally required to have distinct parameter values give rise to distinct distributions, i.e. must hold (in other words, it must be injective ).

A partial function is said to be injective or surjective when the total function given by the restriction of the partial function to its domain of definition is.

A partial function may be both injective and surjective.

A set X is uncountable if and only if any of the following conditions holds: * There is no injective function from X to the set of natural numbers.

Because g is injective, we have that F ⊂ K, and so F is a null set.

Advertentie

Common combinations with injective

These word pairs occur most frequently in English texts:

Frequently asked questions

How do you use "injective" in a sentence?
An example: "Every injective module can be decomposed as direct sum of indecomposable injective modules." This page contains 10+ example sentences with the word "injective" from authentic English texts.
What does "injective" mean?
Injective means: Of, relating to, or being an injection: such that each element of the image (or range) is associated with at most one element of the preimage (or domain); inverse-deterministic
How many example sentences with "injective" are there?
Voorbeeldzinnen.info contains at least 10+ example sentences with "injective", drawn from a database of millions of English sentences.