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Get to know Submanifold better with 4 real example sentences, the meaning.

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Submanifold in a sentence

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Submanifold | Submanifolds

Submanifold meaning

A manifold which is a subset of another, so that the inclusion function is an embedding or, sometimes, an immersion.

Using Submanifold

  • The main meaning on this page is: A manifold which is a subset of another, so that the inclusion function is an embedding or, sometimes, an immersion.
  • In the example corpus, submanifold often appears in combinations such as: submanifold of, lagrangian submanifold.

Context around Submanifold

  • Average sentence length in these examples: 24.3 words
  • Position in the sentence: 1 start, 3 middle, 0 end
  • Sentence types: 4 statements, 0 questions, 0 exclamations

Often before:

lagrangian 2× embedded 1× oriented 1×

Sentence patterns with Submanifold

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

a lagrangian submanifold is called 1× a lagrangian submanifold of a 1× an embedded submanifold of euclidean 1× embedded oriented submanifold of some 1×

Sentence openings and endings

Common sentence openings:

a lagrangian submanifold 1× lagrangian mapping let 1× more generally if 1× the theorem is 1×

Common sentence endings:

a lagrangian immersion 1× this literal fashion 1× to is vanishing 1× ω is defined 1×

Words around Submanifold

Just before it in the word index:

submachineguns 2 submachine 75 subluxation 14 sublunary 2 sublunar 4 subluminal 2

Just after it in the word index:

submanifolds 2 submarine 981 submariner 10 submariners 11 submarines 639 submarket 6

Similar in corpus frequency:

aaaaand 6 aaah 6 aaargh 6 aacl 6 aadhi 6 aak 6

Corpus analysis for Submanifold

  • In this selection, "submanifold" usually appears in the middle of the sentence. The average example has 24.3 words, and this corpus slice is mostly made up of statements.
  • Around the word, lagrangian, embedded and oriented stand out and add context to how "submanifold" is used.
  • Recognizable usage signals include a lagrangian submanifold is called and a lagrangian submanifold of a. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "submanifold" sits close to words such as aaaaand, aaah and aaargh, which helps place it inside the broader word index.

Example types with submanifold

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

A Lagrangian submanifold is called special if in addition to the above Lagrangian condition the restriction to is vanishing. (19 words)

The theorem is often used in situations where Ω is an embedded oriented submanifold of some bigger manifold on which the form ω is defined. (25 words)

More generally, if a given manifold is thought of as an embedded submanifold of Euclidean space one can picture a tangent space in this literal fashion. (26 words)

Longer example sentences

Lagrangian mapping Let L be a Lagrangian submanifold of a symplectic manifold (K,ω) given by an immersion i : L ↪ K (i is called a Lagrangian immersion). (27 words)

More generally, if a given manifold is thought of as an embedded submanifold of Euclidean space one can picture a tangent space in this literal fashion. (26 words)

The theorem is often used in situations where Ω is an embedded oriented submanifold of some bigger manifold on which the form ω is defined. (25 words)

Example sentences (4)

A Lagrangian submanifold is called special if in addition to the above Lagrangian condition the restriction to is vanishing.

Lagrangian mapping Let L be a Lagrangian submanifold of a symplectic manifold (K,ω) given by an immersion i : L ↪ K (i is called a Lagrangian immersion).

More generally, if a given manifold is thought of as an embedded submanifold of Euclidean space one can picture a tangent space in this literal fashion.

The theorem is often used in situations where Ω is an embedded oriented submanifold of some bigger manifold on which the form ω is defined.

Common combinations with submanifold

These word pairs occur most frequently in English texts:

Frequently asked questions

How do you use "submanifold" in a sentence?
An example: "A Lagrangian submanifold is called special if in addition to the above Lagrangian condition the restriction to is vanishing." This page contains 4 example sentences with the word "submanifold" from authentic English texts.
What does "submanifold" mean?
Submanifold means: A manifold which is a subset of another, so that the inclusion function is an embedding or, sometimes, an immersion.
How many example sentences with "submanifold" are there?
Voorbeeldzinnen.info contains 4 example sentences with "submanifold", drawn from a database of millions of English sentences.