DUALNUMBER

Dual number

In linear algebra, the dual numbers extend the real numbers by adjoining one new element ε with the property ε2 = 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 + bε 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

  1. Grammatical denoting a quantity of exactly two.
  2. 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.

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