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Octonion is an English word. Below you'll find 3 example sentences showing how it's used in practice.

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Octonion in a sentence

Related words

Octonion | Octonions

Octonion meaning

An 8-dimensional nonassociative extension of a quaternion with a real part and 7 imaginary parts (each a real multiple of a distinct square root of −1).

Using Octonion

  • The main meaning on this page is: An 8-dimensional nonassociative extension of a quaternion with a real part and 7 imaginary parts (each a real multiple of a distinct square root of −1).

Context around Octonion

  • Average sentence length in these examples: 23.7 words
  • Position in the sentence: 0 start, 1 middle, 2 end
  • Sentence types: 3 statements, 0 questions, 0 exclamations

Often before:

integral 1×

Often after:

multiplication 1× product 1×

Sentence patterns with Octonion

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

choice of octonion product 1× every integral octonion can be 1× in an octonion multiplication table 1×

Sentence openings and endings

Common sentence openings:

instead there are 1× the irreducible integral 1×

Common sentence endings:

octonion multiplication table 1× of irreducible octonions 1× of octonion product 1×

Words around Octonion

Just before it in the word index:

octogenarians 5 octogenarian 45 octoechos 7 octodec 2 octocrylene 2 octochamps 2

Just after it in the word index:

octonions 20 octopath 6 octopi 5 octopus 218 octopuses 30 octopussy 4

Similar in corpus frequency:

aabc 5 aacr 5 aacsb 5 aadar 5 aadk 5 aadvantage 5

Corpus analysis for Octonion

  • In this selection, "octonion" usually appears near the end of the sentence. The average example has 23.7 words, and this corpus slice is mostly made up of statements.
  • Around the word, integral, multiplication and product stand out and add context to how "octonion" is used.
  • Recognizable usage signals include choice of octonion product and every integral octonion can be. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "octonion" sits close to words such as aabc, aacr and aacsb, which helps place it inside the broader word index.

Example types with octonion

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

Instead there are many different cross products, each one dependent on the choice of octonion product. (16 words)

The irreducible integral octonions are exactly those of prime norm, and every integral octonion can be written as a product of irreducible octonions. (23 words)

If the ∗ is forced to be equal to the identity then the multiplication ceases to be associative, but the ∗ may be removed from the multiplication table resulting in an octonion multiplication table. (32 words)

Longer example sentences

If the ∗ is forced to be equal to the identity then the multiplication ceases to be associative, but the ∗ may be removed from the multiplication table resulting in an octonion multiplication table. (32 words)

The irreducible integral octonions are exactly those of prime norm, and every integral octonion can be written as a product of irreducible octonions. (23 words)

Instead there are many different cross products, each one dependent on the choice of octonion product. (16 words)

Example sentences (3)

If the ∗ is forced to be equal to the identity then the multiplication ceases to be associative, but the ∗ may be removed from the multiplication table resulting in an octonion multiplication table.

Instead there are many different cross products, each one dependent on the choice of octonion product.

The irreducible integral octonions are exactly those of prime norm, and every integral octonion can be written as a product of irreducible octonions.

Frequently asked questions

How do you use "octonion" in a sentence?
An example: "If the ∗ is forced to be equal to the identity then the multiplication ceases to be associative, but the ∗ may be removed from the multiplication table resulting in an octonion multiplication table." This page contains 3 example sentences with the word "octonion" from authentic English texts.
What does "octonion" mean?
Octonion means: An 8-dimensional nonassociative extension of a quaternion with a real part and 7 imaginary parts (each a real multiple of a distinct square root of −1).
How many example sentences with "octonion" are there?
Voorbeeldzinnen.info contains 3 example sentences with "octonion", drawn from a database of millions of English sentences.