Split-complex number
id:
split-complex-number-189-2836149
title:
Split-complex number
text:
In algebra, a split-complex number is based on a hyperbolic unit j satisfying j 2 = 1. A split-complex number has two real number components x and y, and is written z = x + y j. The conjugate of z is z ∗ = x − y j. Since j 2 = 1, the product of a number z with its conjugate is N := z z ∗ = x 2 − y 2, an isotropic quadratic form. The collection D of all split-complex numbers z = x + y j for x, y ∈ R forms an algebra over the field of real numbers. Two split-complex numbers w and z have a prod
brand slug:
wiki
category slug:
encyclopedia
description:
The reals with an extra square root of +1 adjoined
original url:
https://en.wikipedia.org/wiki/Split-complex_number
date created:
2004-08-11T22:11:09Z
date modified:
2024-09-09T11:24:05Z
main entity:
{"identifier":"Q864145","url":"https://www.wikidata.org/entity/Q864145"}
image:
fields total:
13
integrity:
15