Dual Number
In linear algebra, the dual numbers (or parabolic numbers) extend the real numbers by adjoining one new element ε with the property ε2 = 0 (ε is nilpotent). 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 motor plane D of split-complex numbers.
Read more about Dual Number: Linear Representation, Geometry, Algebraic Properties, Generalization, Differentiation, Superspace, Division, Exponentiation
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