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Wikipedia definition
1. Dual numberIn linear algebra, the dual numbers extend the real numbers by adjoining one new element ε with the property ε = 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 plane of all dual numbers is an "alternative complex plane" that complements the ordinary complex number plane C and the plane of split-complex numbers.
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