hypercomplex number

Noun

Meaning

hypercomplex number (plural hypercomplex numbers)

(mathematics) Any of several types of extended complex number, consisting of a real part and two or more imaginary parts (each a real multiple of a distinct square root of −1), which may be imagined as a point in a multi-dimensional space.

Synonyms

Examples

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. Source: Internet

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

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

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. Source: Internet

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

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

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