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From:
Toby Lam’s Blog
(Uncensored)
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A circle and a hyperbola living in one plot
https://tobylam.xyz/2024/05/24/circle-hyperbola
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Tagged with:
maths
linear algebra
complex analysis
dynamical systems
We will see that the 3D plot of \(x^2 + (y+zi)^2 = 1\) contains a circle and a hyperbola, where \(i\) is the imaginary number. Beyond the visuals, this helps us understand the (complex) eigenvalues of real matrices.