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On this page you'll find 4 example sentences with Hopf. Discover the meaning, how to use the word correctly in a sentence.

Rare word

Hopf in a sentence

Related words

Hopf | Hopfer | Hopfe | Hopfl

Hopf meaning

A surname.

Using Hopf

  • The main meaning on this page is: A surname.

Context around Hopf

  • Average sentence length in these examples: 26.8 words
  • Position in the sentence: 2 start, 2 middle, 0 end
  • Sentence types: 4 statements, 0 questions, 0 exclamations

Often after:

coordinates 1× fibration 1× algebra 1× note 1×

Sentence patterns with Hopf

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

coordinates the hopf fibration can 1× eckert and hopf s restaurant 1× hopf coordinates the 1× ring or hopf algebra is 1× zohary and hopf note however 1×

Sentence openings and endings

Common sentence openings:

hopf coordinates the 1× representation ring of 1× the north beach 1× zohary and hopf 1×

Common sentence endings:

flat torus case 1× history and domestication 1× monica circa 1898 1× or green ring 1×

Words around Hopf

Just before it in the word index:

hopewest 4 hopewell 65 hopetown 2 hopetoun 3 hopeson 3 hopes 6.989

Just after it in the word index:

hopfe 2 hopfer 3 hopfl 2 hopgood 5 hopi 72 hopin 4

Similar in corpus frequency:

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

Corpus analysis for Hopf

  • In this selection, "hopf" usually appears near the start of the sentence. The average example has 26.8 words, and this corpus slice is mostly made up of statements.
  • Around the word, coordinates, fibration and algebra stand out and add context to how "hopf" is used.
  • Recognizable usage signals include coordinates the hopf fibration can and eckert and hopf s restaurant. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "hopf" sits close to words such as aaaaand, aaah and aaargh, which helps place it inside the broader word index.

Example types with hopf

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

Zohary and Hopf note, however, "there are almost no archaeological records available" to help determine its earlier history and domestication. (20 words)

Representation ring of a group ring To any group ring or Hopf algebra is associated its representation ring or "Green ring". (21 words)

Hopf coordinates The Hopf fibration can be visualized using a stereographic projection of ) direction, represented by the blue arrow, although the terms poloidal and toroidal are arbitrary in this flat torus case. (32 words)

Longer example sentences

The North Beach Bath House with a sign for "Eckert and Hopf's Restaurant" and a crowd of people on the beach with the Arcadia Hotel in the distance in Santa Monica, circa 1898. (34 words)

Hopf coordinates The Hopf fibration can be visualized using a stereographic projection of ) direction, represented by the blue arrow, although the terms poloidal and toroidal are arbitrary in this flat torus case. (32 words)

Representation ring of a group ring To any group ring or Hopf algebra is associated its representation ring or "Green ring". (21 words)

Example sentences (4)

Hopf coordinates The Hopf fibration can be visualized using a stereographic projection of ) direction, represented by the blue arrow, although the terms poloidal and toroidal are arbitrary in this flat torus case.

The North Beach Bath House with a sign for "Eckert and Hopf's Restaurant" and a crowd of people on the beach with the Arcadia Hotel in the distance in Santa Monica, circa 1898.

Representation ring of a group ring To any group ring or Hopf algebra is associated its representation ring or "Green ring".

Zohary and Hopf note, however, "there are almost no archaeological records available" to help determine its earlier history and domestication.

Frequently asked questions

How do you use "hopf" in a sentence?
An example: "Hopf coordinates The Hopf fibration can be visualized using a stereographic projection of ) direction, represented by the blue arrow, although the terms poloidal and toroidal are arbitrary in this flat torus case." This page contains 4 example sentences with the word "hopf" from authentic English texts.
What does "hopf" mean?
Hopf means: A surname.
How many example sentences with "hopf" are there?
Voorbeeldzinnen.info contains 4 example sentences with "hopf", drawn from a database of millions of English sentences.