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 |    Not for the faint of art. |
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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. ![Merit Badge in Quill Award
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| There's a reason that the "mad scientist" archetype exists. This article is from last August, and it speaks of a biographical movie about Tesla -- one which, apart from this article, I've heard nothing about. But long ago, I read a few books about him, and so I sometimes forget that many people only know the name because of Elon Musk or, sometimes, a mediocre band. The opening of a new biopic of Tesla provides a timely opportunity to review the life of a man who came from nowhere yet became world famous; claimed to be devoted solely to discovery but relished the role of a showman; attracted the attention of many women but never married; and generated ideas that transformed daily life and created multiple fortunes but died nearly penniless. That's a decent enough summary, I suppose. Read the article for details; I'm not going to paste a lot of it here. As a bonus, there are some awesome pictures. Essentially, without Tesla, life today might have been very, very different. Oh, sure, most of his inventions would have been created by someone else eventually; such is the nature of inventions. But every once in a while, a whole lot of genius is concentrated in a single person. Everyone is familiar with Einstein and Newton; Tesla's main rival, Edison, mostly just had a big team and competent public relations. (Ironically, Elon Musk himself is more of an Edison than a Tesla) Also, as you'll see, Tesla was the very definition of "eccentric," which I'm sure didn't help much in the publicity department. His money long gone, Tesla spent his later years moving from place to place, leaving behind unpaid bills. Eventually, he settled in at a New York hotel, where his rent was paid by Westinghouse. Amusing thing about that hotel: it's still around. Well, it's a hotel again, anyway; for a while there it was some cult headquarters or something, but now it's once again the New Yorker hotel, and it's located not far from Penn Station, in midtown Manhattan. I stayed there once on a trip to New York, and while I didn't get Tesla's room (I didn't want to be That Guy), I made a pilgrimage to the floor it was on and stood outside the door. Sadly, I didn't feel a spark. Fortunately, these days, thanks to a few movies and such (one of which, The Prestige, had him portrayed by none other than David Bowie), more people know about Nikola Tesla, but I'm leaving this here just in case. The article is short, and really just hits the highlights. Maybe I'll see if I can track down the biopic mentioned in the article. |
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Finally. Fascinating stuff. All of them. There is something rather philosophical about comedy. You are certainly right there. 
