4:04 AM
-1
Here is a link to a long discussion regarding generalization of $\operatorname{sign}z$ function to dual numbers. There are basically two proposed versions: $\operatorname{sign}(a+\varepsilon b) = \operatorname{sign}(a) + 2 b \delta(a) \varepsilon$ - proposed by user M.G. in their answer. $\oper...
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