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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. |
PROMPT November 10th What do you find yourself insecure about? Are you able to overcome your insecurities? If so, how? If I had any insecurities - and, mind you, I'm not saying I do - but if I had any, I think chief among them would be a reluctance to share any insecurities in an open forum online. People can use that shit against you - mock you, take advantage, that sort of thing. Not that I ever worry about it. Such an insecurity would, I think, be very difficult to overcome, if it were real. I mean, hypothetically, there might be some things you can share with trusted friends, but casual acquaintances, backstabbing co-workers, fickle family members? Yeah, no, it would be too easy for bad actors to get a handle on you and crush your psyche. It's like - you don't leave your doors unlocked when you park your car on a city street, right? Not because everyone will steal from it - most people wouldn't - but because the one or two who would do such a thing can ruin your day. So, rest assured, it wouldn't be you , the one reading this right now, that I wouldn't trust in this purely theoretical situation, but some other passer-by. Consequently, it's a good thing I'm not insecure about anything or I'd have to worry about not being completely forthright in my own blog, and that would be a shame, wouldn't it? |