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Rated: 18+ · Book · Personal · #1196512
Not for the faint of art.
Complex Numbers

A complex number is expressed in the standard form a + bi, where a and b are real numbers and i is defined by i^2 = -1 (that is, i is the square root of -1). For example, 3 + 2i is a complex number.

The bi term is often referred to as an imaginary number (though this may be misleading, as it is no more "imaginary" than the symbolic abstractions we know as the "real" numbers). Thus, every complex number has a real part, a, and an imaginary part, bi.

Complex numbers are often represented on a graph known as the "complex plane," where the horizontal axis represents the infinity of real numbers, and the vertical axis represents the infinity of imaginary numbers. Thus, each complex number has a unique representation on the complex plane: some closer to real; others, more imaginary. If a = b, the number is equal parts real and imaginary.

Very simple transformations applied to numbers in the complex plane can lead to fractal structures of enormous intricacy and astonishing beauty.




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October 16, 2018 at 12:23am
October 16, 2018 at 12:23am
#943540
Upon looking at my Amazon account today, I saw:

"Customer since 1997."

That's right. My Amazon account is now old enough to drink. Which is ironic, because Drunk Me keeps buying surprises from Amazon for Sober Me, like Doctor Who boxed sets (complete with sonic screwdriver) and lame Halloween costumes. And, once, a breathalyzer.

I really should get an ignition interlock breathalyzer for Amazon. I guess I haven't been drunk enough to do that yet.

But now, Amazon is old enough to do it for me.
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