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Too many words for my brain. We need the mighty @InertialObservr to animate this 
lol I think if dual numbers as just ‘anti commuting’ fermionic numbers .. they’re also called Grassman numbers and are the ‘extra’ degrees of freedom in superspace .. mainly used in SUSY.. don’t think I know a visual of them tho
I think this has officially skipped over my pond of knowledge.pic.twitter.com/saCNUA03Pk
I know it sounds complicated but they’re actually much simpler than real or complexes since they terminate after two powers
The subset that squares to zero can be thought of as containing infinitesimal numbrs This explains why f(x + epsilon) = f(x) + epsilon * f'(x) whenever epsilon^2 = 0 and f is any analytic function. One application of this is in "automatic differentiation" in computer programming
I find this perspective to be more intuitive than the other ones
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