Definitions for hypercomplex number
hy·per·com·plex num·ber

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1. hypercomplex numbernoun

   A complex number consisting of more than two square roots of negative one, creating multiple simulated dimensions.

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1. Hypercomplex number

   In mathematics, hypercomplex number is a traditional term for an element of a finite-dimensional unital algebra over the field of real numbers. The study of hypercomplex numbers in the late 19th century forms the basis of modern group representation theory.

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1. Hypercomplex number

   In mathematics, a hypercomplex number is a traditional term for an element of an algebra over a field where the field is the real numbers or the complex numbers. In the nineteenth century number systems called quaternions, tessarines, coquaternions, biquaternions, and octonions became established concepts in mathematical literature. The concept of a hypercomplex number covered them all, and called for a science to explain and classify them. The cataloguing project began in 1872 when Benjamin Peirce first published his Linear Associative Algebra, and was carried forward by his son Charles Sanders Peirce. Most significantly, they identified the nilpotent and the idempotent elements as useful hypercomplex numbers for classifications. The Cayley–Dickson construction used involutions to generate complex numbers, quaternions, and octonions out of the real number system. Hurwitz and Frobenius proved theorems that put limits on hypercomplexity: Hurwitz's theorem, and Frobenius theorem. It was matrix algebra that harnessed the hypercomplex systems. First, matrices contributed new hypercomplex numbers like 2 × 2 real matrices. Soon the matrix paradigm began to explain the others as they became represented by matrices and their operations. In 1907 Joseph Wedderburn showed that associative hypercomplex systems could be represented by matrices, or direct sums of systems of matrices. From that date the preferred term for a hypercomplex system became associative algebra as seen in the title of Wedderburn’s thesis at University of Edinburgh. Note however, that non-associative systems like octonions and hyperbolic quaternions represent another type of hypercomplex number.

How to pronounce hypercomplex number?

1. Alex

   US English

   David

   US English

   Mark

   US English

   Daniel

   British

   Libby

   British

   Mia

   British

   Karen

   Australian

   Hayley

   Australian

   Natasha

   Australian

   Veena

   Indian

   Priya

   Indian

   Neerja

   Indian

   Zira

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   Oliver

   British

   Wendy

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   Fred

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   Tessa

   South African

How to say hypercomplex number in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of hypercomplex number in Chaldean Numerology is: 8

2. Pythagorean Numerology

   The numerical value of hypercomplex number in Pythagorean Numerology is: 8

References

1. ^ Wiktionary
   https://en.wiktionary.org/wiki/Hypercomplex_Number
2. ^ Wikipedia
   https://en.wikipedia.org/wiki/Hypercomplex_Number
3. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=hypercomplex number