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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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January 9, 2019 at 12:28am
January 9, 2019 at 12:28am
#949234
Tell us about the pet you had for the longest amount of time or the one that made the most significant impact on you. If you have never had a pet (I’m sorry), what pet would you want?

She was empathetic enough to know when I was down and would comfort me. While she could often be annoying, begging for walks or demanding to be fed, when she was happy she made me happy. Rare was the time that she didn't climb into bed with me at night. Though she often required more attention than I was able to provide - long work hours and all that - she mostly was able to keep herself from wrecking the house in my absence.

We had a good ten years together, but I don't really miss my ex-wife.
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