3 ms·
My favorite property of "imaginary numbers": i^i = 0.20787957635... (Spoiler alert: it's real!) No, they're not imaginary, and yes they have real-world signif
by ubj 3y ago
My favorite property of "imaginary numbers":
i^i = 0.20787957635... (Spoiler alert: it's real!)
No, they're not imaginary, and yes they have real-world significance. They represent oscillations in control systems [1]. They're useful for accurately approximating derivatives [2]. I really dislike the term "imaginary" because of how useful they actually are.
[1]: https://web.mit.edu/2.14/www/Handouts/PoleZero.pdf https://web.mit.edu/2.14/www/Handouts/PoleZero.pdf
[2]: https://mdolab.engin.umich.edu/wiki/guide-complex-step-derivative-approximation https://mdolab.engin.umich.edu/wiki/guide-complex-step-deriv...