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The previous post derived the identity and said in a footnote that the identity holds at least forВ x > 1 andВ y > 1. That’s true, but let’s see why the footnote is necessary...
The previous post announced some notes I wrote up based on an article by Henry Baker implementing functions of a complex variable in terms of functions of a real variable. That is,...
A couple months ago I wrote about how to compute the sine and cosine of a complex number using only real functions of real variables using the equations You can do something analog...
How should we define в€љ(zВІ в€’ 1)? Well, you could square z, subtract 1, and take the square root. What else would you do?! The question turns out to be more subtle than it looks...
“You can’t always get what you want. But sometimes you get what you need.” — The Rolling Stones Circular functions and hyperbolic functions aren’t invertible, but we invert them...
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