hypercomplex

Speech parts

1. hypercomplex - Noun

2. hypercomplex - Adjective

Meaning

hypercomplex (not comparable)

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

hypercomplex (plural hypercomplexes)

(mathematics) A hypercomplex number.

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

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

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

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

Linear Associative Algebra (1881) American Journal of Mathematics 4(1):221 6 Most significantly, they identified the nilpotent and the idempotent elements as useful hypercomplex numbers for classifications. Source: Internet

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

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