Random word

On this page you'll find 6 example sentences with Diffeomorphic. Discover the meaning, how to use the word correctly in a sentence.

Rare word

Diffeomorphic in a sentence

Diffeomorphic meaning

Having a diffeomorphism.

Using Diffeomorphic

  • The main meaning on this page is: Having a diffeomorphism.
  • In the example corpus, diffeomorphic often appears in combinations such as: diffeomorphic to.

Context around Diffeomorphic

  • Average sentence length in these examples: 21.2 words
  • Position in the sentence: 0 start, 2 middle, 4 end
  • Sentence types: 6 statements, 0 questions, 0 exclamations

Often before:

locally 1×

Sentence patterns with Diffeomorphic

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

are always diffeomorphic 1× is locally diffeomorphic to euclidean 1× is not diffeomorphic to the 1× manifolds are diffeomorphic 1× manifolds were diffeomorphic to spheres 1× plane is diffeomorphic to the 1×

Sentence openings and endings

Common sentence openings:

curved spaces main 1× freedman s work 1× hamilton used the 1× in dimensions 1 1× more mathematically for 1× the space of 1×

Common sentence endings:

are always diffeomorphic 1× manifolds are diffeomorphic 1× open möbius band 1× the four sphere 1× the poincaré conjecture 1× to euclidean space 1×

Words around Diffeomorphic

Just before it in the word index:

diffa 8 diff 33 difesa 3 diferitelor 2 difc 19 difaqane 2

Just after it in the word index:

diffeomorphism 19 diffeomorphisms 5 differ 1.359 differed 320 difference 7.532 differenced 2

Similar in corpus frequency:

aaaaa 8 aage 8 aardvarks 8 abaca 8 abaji 8 abascal 8

Corpus analysis for Diffeomorphic

  • In this selection, "diffeomorphic" usually appears near the end of the sentence. The average example has 21.2 words, and this corpus slice is mostly made up of statements.
  • Around the word, locally stand out and add context to how "diffeomorphic" is used.
  • Recognizable usage signals include are always diffeomorphic and is locally diffeomorphic to euclidean. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "diffeomorphic" sits close to words such as aaaaa, aage and aardvarks, which helps place it inside the broader word index.

Example types with diffeomorphic

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

In dimensions 1, 2, 3, any pair of homeomorphic smooth manifolds are diffeomorphic. (13 words)

The space of unoriented lines in the plane is diffeomorphic to the open Möbius band. (15 words)

Curved spaces main A smooth manifold is a Hausdorff topological space that is locally diffeomorphic to Euclidean space. (18 words)

Longer example sentences

More mathematically, for example, the problem of constructing a diffeomorphism between two manifolds of the same dimension is inherently global since locally two such manifolds are always diffeomorphic. (28 words)

Freedman's work left open the possibility that there is a smooth four-manifold homeomorphic to the four-sphere which is not diffeomorphic to the four-sphere. (27 words)

Hamilton used the Ricci flow to prove that some compact manifolds were diffeomorphic to spheres and he hoped to apply it to prove the Poincaré Conjecture. (26 words)

Example sentences (6)

Curved spaces main A smooth manifold is a Hausdorff topological space that is locally diffeomorphic to Euclidean space.

Freedman's work left open the possibility that there is a smooth four-manifold homeomorphic to the four-sphere which is not diffeomorphic to the four-sphere.

Hamilton used the Ricci flow to prove that some compact manifolds were diffeomorphic to spheres and he hoped to apply it to prove the Poincaré Conjecture.

In dimensions 1, 2, 3, any pair of homeomorphic smooth manifolds are diffeomorphic.

More mathematically, for example, the problem of constructing a diffeomorphism between two manifolds of the same dimension is inherently global since locally two such manifolds are always diffeomorphic.

The space of unoriented lines in the plane is diffeomorphic to the open Möbius band.

Common combinations with diffeomorphic

These word pairs occur most frequently in English texts:

  • diffeomorphic to 4×

Frequently asked questions

How do you use "diffeomorphic" in a sentence?
An example: "Curved spaces main A smooth manifold is a Hausdorff topological space that is locally diffeomorphic to Euclidean space." This page contains 6 example sentences with the word "diffeomorphic" from authentic English texts.
What does "diffeomorphic" mean?
Diffeomorphic means: Having a diffeomorphism.
How many example sentences with "diffeomorphic" are there?
Voorbeeldzinnen.info contains 6 example sentences with "diffeomorphic", drawn from a database of millions of English sentences.