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How do you use Hypercomplex in a sentence? See 10+ example sentences showing how this word appears in different contexts, plus the exact meaning.

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Hypercomplex in a sentence

Hypercomplex meaning

Describing any of several types of higher-dimensional numbers having some characteristics of complex numbers.

Using Hypercomplex

  • The main meaning on this page is: Describing any of several types of higher-dimensional numbers having some characteristics of complex numbers.
  • In the example corpus, hypercomplex often appears in combinations such as: hypercomplex number, of hypercomplex, hypercomplex numbers.

Context around Hypercomplex

  • Average sentence length in these examples: 19.1 words
  • Position in the sentence: 4 start, 3 middle, 3 end
  • Sentence types: 10 statements, 0 questions, 0 exclamations

Often before:

associative 1× see 1×

Often after:

numbers 3× systems 1×

Sentence patterns with Hypercomplex

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

all hypercomplex number systems 1× and on hypercomplex number systems 1× approach to hypercomplex numbers directs 1× examples of hypercomplex number systems 1× hypercomplex numbers main 1× of a hypercomplex number covered 1× of a hypercomplex number system 1× see hypercomplex numbers for 1×

Sentence openings and endings

Common sentence openings:

a technical approach 1× after his habilitation 1× all hypercomplex number 1× hypercomplex numbers main 1× in 1907 joseph 1× note however that 1×

Common sentence endings:

and classify them 1× contain zero divisors 1× hypercomplex number system 1× hypercomplex number systems 1× low dimensional examples 1× of dimension two 1×

Words around Hypercomplex

Just before it in the word index:

hypercompetitive 4 hypercoagulable 4 hyperclova 2 hypercholesterolemia 4 hyperchem 2 hypercharge 2

Just after it in the word index:

hyperconnected 2 hyperconnectivity 2 hyperconverged 7 hypercorrection 2 hypercritical 3 hypercube 18

Similar in corpus frequency:

aab 13 aamer 13 aave 13 abdelmadjid 13 abdulkarim 13 abdulsalami 13

Corpus analysis for Hypercomplex

  • In this selection, "hypercomplex" usually appears near the start of the sentence. The average example has 19.1 words, and this corpus slice is mostly made up of statements.
  • Around the word, associative, see, numbers and systems stand out and add context to how "hypercomplex" is used.
  • Recognizable usage signals include all hypercomplex number systems and and on hypercomplex number systems. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "hypercomplex" sits close to words such as aab, aamer and aave, which helps place it inside the broader word index.

Example types with hypercomplex

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

See hypercomplex numbers for other low-dimensional examples. (8 words)

These can be interpreted as the basis of a hypercomplex number system. (12 words)

A technical approach to hypercomplex numbers directs attention first to those of dimension two. (14 words)

Longer example sentences

Hypercomplex numbers main Some number systems that are not included in the complex numbers may be constructed from the real numbers in a way that generalize the construction of the complex numbers. (32 words)

After his habilitation, Hausdorff wrote another work on optics, on non-Euclidean geometry, and on hypercomplex number systems, as well as two papers on probability theory. (26 words)

Tensor products The tensor product of any two algebras is another algebra, which can be used to produce many more examples of hypercomplex number systems. (25 words)

Example sentences (10)

After his habilitation, Hausdorff wrote another work on optics, on non-Euclidean geometry, and on hypercomplex number systems, as well as two papers on probability theory.

All hypercomplex number systems after sedenions that are based on the Cayley–Dickson construction contain zero divisors.

A technical approach to hypercomplex numbers directs attention first to those of dimension two.

Hypercomplex numbers main Some number systems that are not included in the complex numbers may be constructed from the real numbers in a way that generalize the construction of the complex numbers.

In 1907 Joseph Wedderburn showed that associative hypercomplex systems could be represented by matrices, or direct sums of systems of matrices.

Note however, that non-associative systems like octonions and hyperbolic quaternions represent another type of hypercomplex number.

See hypercomplex numbers for other low-dimensional examples.

Tensor products The tensor product of any two algebras is another algebra, which can be used to produce many more examples of hypercomplex number systems.

The concept of a hypercomplex number covered them all, and called for a discipline to explain and classify them.

These can be interpreted as the basis of a hypercomplex number system.

Common combinations with hypercomplex

These word pairs occur most frequently in English texts:

Frequently asked questions

How do you use "hypercomplex" in a sentence?
An example: "After his habilitation, Hausdorff wrote another work on optics, on non-Euclidean geometry, and on hypercomplex number systems, as well as two papers on probability theory." This page contains 10+ example sentences with the word "hypercomplex" from authentic English texts.
What does "hypercomplex" mean?
Hypercomplex means: Describing any of several types of higher-dimensional numbers having some characteristics of complex numbers.
How many example sentences with "hypercomplex" are there?
Voorbeeldzinnen.info contains at least 10+ example sentences with "hypercomplex", drawn from a database of millions of English sentences.