Bicomplex number
id:
bicomplex-number-164-10039295
title:
Bicomplex number
text:
In abstract algebra, a bicomplex number is a pair of complex numbers constructed by the Cayley–Dickson process that defines the bicomplex conjugate ∗ =, and the product of two bicomplex numbers as
- =. Then the bicomplex norm is given by
- ∗ = =, a quadratic form in the first component. The bicomplex numbers form a commutative algebra over C of dimension two that is isomorphic to the direct sum of algebras C ⊕ C. The product of two bicomplex numbers yields a quadratic form value that is the
brand slug:
wiki
category slug:
encyclopedia
description:
Commutative, associative algebra of two complex dimensions
original url:
https://en.wikipedia.org/wiki/Bicomplex_number
date created:
2004-10-31T22:47:20Z
date modified:
2024-08-29T00:16:25Z
main entity:
{"identifier":"Q3052356","url":"https://www.wikidata.org/entity/Q3052356"}
image:
fields total:
13
integrity:
15