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Free public beta until December 4, 2026: every course is open, no card needed. After that, the first chapter of each course stays free and full access is a one-time $39 ($19 for up to 100 founding members chosen for helpful feedback). Your progress is kept. How the beta works

magnitude

How big a number is, ignoring its sign or direction -- |x| for a real number, or the length of the arrow for a complex one.

A real number's magnitude |x| is its size with the sign stripped off. A complex number's magnitude |x|=\sqrt{a^2+b^2} is the length of the arrow from the origin to x=a+jb in the complex plane -- the same idea, one dimension up.

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