## DUALNUMBER

### Dual number

In linear algebra, the**dual numbers**extend the real numbers by adjoining one new element ε with the property ε

^{2}= 0 . The collection of dual numbers forms a particular two-dimensional commutative unital associative algebra over the real numbers. Every dual number has the form

*z*=

*a*+

*b*ε with

*a*and

*b*uniquely determined real numbers. The algebra of dual numbers is a ring that is a local ring since the principal ideal generated by ε is its only maximal ideal.

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### dual number

#### Noun

- Grammatical denoting a quantity of exactly two.
- An element of the of dual numbers, which includes the and an element ε which satisfies ε² = 0.

*The above text is a snippet from Wiktionary: dual number*

and as such is available under the Creative Commons Attribution/Share-Alike License.

and as such is available under the Creative Commons Attribution/Share-Alike License.