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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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March 25, 2019 at 3:02am
March 25, 2019 at 3:02am
#954926


Since I started my attempt to lose weight, I've been reducing my incohol altake. This is not out of some misguided Puritanism; just a simple matter of calories.

I knew it wouldn't last.

Went to happy hour at a local brewery today. Yesterday. Sunday. Whatever.

It may have set back my progress, but damn, it felt good. From the initial drinking, to being drunk, to feeling sick, to passing out, to having a hangover... it all felt really good.

Yep.

I needed that.
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