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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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| We all know I like Cracked. This is partly because, like me, they try to be amusing and informational at the same time. Sometimes, that doesn't work out on one front or the other. Companies That Make Only Two Wildly Different Products  It’s usually a bad idea for, say, a coffee shop to start selling auto parts As a business, diversifying your product line is a surefire way to grow your customer base... Not always. Some companies, however, decide that they do two things. Two things only. Two wildly different things only. 5. Guinness It’s not just a coincidence of nomenclature — the Guinness Book of World Records is the same Guinness that produces the world’s carbiest beer. No. I mean, yes, originally. Guinness reportedly started the World Records book as a way for pub-goers to settle bets, as the article notes. Later, the publication (which I'll call GWR) got sold to another company, with rights to the name. That company then eliminated every world record related to drinking, on safety (read: liability) grounds. While I understand their reasons, this ripped them from their roots. Would you call a piece of paper and a tree the same thing? No. Then GWR has nothing to do with the Irish manufacturers of dark and delicious malt beverage. Guinness, the brewer, also sells merchandise, and even has showrooms for it. I've been in one in Las Vegas. Well, at least they did pre-pandemic, and I can't be arsed to see if they're still doing that. Point is, though, not only is GWR no longer affiliated with Guinness, but even if they weren't, Guinness would be selling more than two products. 4 Coors Yep, the company that makes beer as cold as the Rockies is also involved in the production of high-tech ceramics. I would argue that they don't make beer, but I'm admittedly a snob on the subject. Also, it's Molson Coors now, and they suck even harder than AB/InBev, which at least has the decency to (mostly) leave craft brewers to their own devices when they Hoover them up. 3 Yamaha The customers for Yamaha keyboards and motorcycles couldn’t be more different, and technically, they’re not the same company. As noted, they're not the same company, so this shouldn't count, either. Also, why can't bikers be keyboardists, or vice-versa? 2 Bridgestone Bridgestone is another Japanese company that successfully divided itself, not out of prudent business sense but for the love of the game — literally. Tires and golf balls? Come on, they're both round, dimpled, and made of synthetic rubber. 1 Michelin Speaking of tires, it’s often said that the Michelin tire company created their restaurant rating system to get people to drive more and wear down their tires faster, but it’s a little more complicated than that. Okay, I'm going to grant them this one. In 1900, people had to be convinced to buy and drive cars at all, so Michelin began publishing car-specific travel guides that included where to get gas, what time the sun set at different times of year (because there were no street lights), and yes, the best hotels and restaurants. In the US, at least, there was another, way worse reason to have to know sunset times. Now you know, once our car-centric society has destroyed the planet and global warming kills us all, you can blame the French. Technically, the Industrial Revolution only kicked into high gear after Nicolas Léonard Sadi Carnot figured out the whole "thermodynamics" thing, so we might as well blame the French. |
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