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Get to know Functionals better with 10+ real example sentences, the meaning.

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Functionals in a sentence

Related words

Functionals | Functional | Functionally

Functionals meaning

plural of functional

Using Functionals

  • The main meaning on this page is: plural of functional
  • In the example corpus, functionals often appears in combinations such as: linear functionals, functionals on, continuous functionals.

Context around Functionals

  • Average sentence length in these examples: 20.6 words
  • Position in the sentence: 1 start, 5 middle, 7 end
  • Sentence types: 13 statements, 0 questions, 0 exclamations

Often before:

linear 7× continuous 2× minkowski 1× nonlinear 1× biorthogonal 1×

Often after:

usually 1×

Sentence patterns with Functionals

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

bra linear functionals are defined 1× by continuous functionals 1× called biorthogonal functionals 1× continuous linear functionals on d 1× continuous linear functionals which constitutes 1× future minkowski functionals will be 1× of continuous functionals v r 1× of linear functionals 1×

Sentence openings and endings

Common sentence openings:

a dual description 1× in banach spaces 1× indeed it coincides 1× let x be 1× standard functions act 1× the bra linear 1×

Common sentence endings:

as linear equations 1× by continuous functionals 1× continuous dual space 1× describing such surfaces 1× of linear functionals 1× so called functionals 1×

Words around Functionals

Just before it in the word index:

functionally 132 functionalized 5 functionalization 5 functionality 939 functionalities 55 functionalists 2

Just after it in the word index:

functionaries 84 functionary 45 functioned 193 functioning 1.092 functionings 2 functionless 2

Similar in corpus frequency:

aanand 16 abcd 16 abdurrahman 16 aberdour 16 abergele 16 abg 16

Corpus analysis for Functionals

  • In this selection, "functionals" usually appears near the end of the sentence. The average example has 20.6 words, and this corpus slice is mostly made up of statements.
  • Around the word, linear, continuous, minkowski and usually stand out and add context to how "functionals" is used.
  • Recognizable usage signals include bra linear functionals are defined and by continuous functionals. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "functionals" sits close to words such as aanand, abcd and abdurrahman, which helps place it inside the broader word index.

Example types with functionals

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

They are called biorthogonal functionals. (5 words)

Indeed, it coincides with the topology of pointwise convergence of linear functionals. (12 words)

A dual description is provided with linear functionals (usually implemented as linear equations ). (13 words)

Longer example sentences

Let X be a normed topological vector space over F, compatible with the absolute value in F. Then in X*, the topological dual space X of continuous F-valued linear functionals on X, all norm-closed balls are compact in the weak-* topology. (43 words)

In Banach spaces, a large part of the study involves the dual space : the space of all continuous linear maps from the space into its underlying field, so-called functionals. (30 words)

The researchers believe that the broad applicability of morphometric analysis means that in future Minkowski functionals will be used as the gold standard for describing such surfaces. (27 words)

Example sentences (13)

The researchers believe that the broad applicability of morphometric analysis means that in future Minkowski functionals will be used as the gold standard for describing such surfaces.

A dual description is provided with linear functionals (usually implemented as linear equations ).

In Banach spaces, a large part of the study involves the dual space : the space of all continuous linear maps from the space into its underlying field, so-called functionals.

Indeed, it coincides with the topology of pointwise convergence of linear functionals.

Let X be a normed topological vector space over F, compatible with the absolute value in F. Then in X*, the topological dual space X of continuous F-valued linear functionals on X, all norm-closed balls are compact in the weak-* topology.

Standard functions act by integration against a test function, but many other linear functionals do not arise in this way, and these are the "generalized functions".

The bra linear functionals are defined to be consistent with the inner product.

The fundamental Hahn–Banach theorem is concerned with separating subspaces of appropriate topological vector spaces by continuous functionals.

Advertentie

The space of distributions will then be given as the space of continuous linear functionals on D(U).

The theory of nonlinear functionals was continued by students of Hadamard, in particular Fréchet and Lévy.

They are called biorthogonal functionals.

Treves 1967, p. 34–36 In particular, the (topological) dual space V ∗ consists of continuous functionals V → R (or to C ).

When defined for a topological vector space there is a subspace of this dual space, corresponding to continuous linear functionals, which constitutes a continuous dual space.

Advertentie

Common combinations with functionals

These word pairs occur most frequently in English texts:

Frequently asked questions

How do you use "functionals" in a sentence?
An example: "The researchers believe that the broad applicability of morphometric analysis means that in future Minkowski functionals will be used as the gold standard for describing such surfaces." This page contains 10+ example sentences with the word "functionals" from authentic English texts.
What does "functionals" mean?
Functionals means: plural of functional
How many example sentences with "functionals" are there?
Voorbeeldzinnen.info contains at least 10+ example sentences with "functionals", drawn from a database of millions of English sentences.