A dual number is a number 
,
where 
and 
is a matrix with the property
that 
(such as ![epsilon=[0 1; 0 0]](/images/equations/DualNumber/Inline5.svg)
).
Dual Number
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References
Brand, L. Vector and Tensor Analysis. New York: Wiley, 1947.Referenced on Wolfram|Alpha
Dual NumberCite this as:
Weisstein, Eric W. "Dual Number." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/DualNumber.html