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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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2022 Quill Award - Best Blog - [Link To Item #1196512] . Congratulations!!!](https://images.Writing.Com/imgs/writing.com/writers/badges/group-Quill_Award_2-1375927_6.gif) ![Merit Badge in 30DBC Winner
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Congratulations on winning an honorable mention for Best Blog at the 2018 Quill Awards for [Link To Item #1196512] . *^*Smile*^* This award was sponsored by the blogging consortium including [Link To Item #30dbc] , [Link To Item #blogcity] , [Link To Item #bcof] and [Link To Item #1953629] . For more details, see [Link To Item #quills] .](https://images.Writing.Com/imgs/writing.com/writers/badges/type-Blogging-2180.gif) ![Merit Badge in Highly Recommended
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I highly recommend your blog.](https://images.Writing.Com/imgs/writing.com/writers/badges/Kudos-Highly_Recommended.gif) ![Merit Badge in Opinion
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For diving into the prompts for Journalistic Intentions- thanks for joining the fun!](https://images.Writing.Com/imgs/writing.com/writers/badges/genre-Opinion-1150.gif) ![Merit Badge in High Five
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For your awesome Klingon Bloodwine recipe from [Link to Book Entry #1016079] that deserves to be on the topmost shelf at Quark's.](https://images.Writing.Com/imgs/writing.com/writers/badges/group-Quarks_Bar-2046190_12.gif)       |
| They say necessity is the mother of invention. I say laziness is the milkman. Leave it to Cracked to point out a third option: comedy. Have you ever had a moment where you’re, say, shopping for pants, and you find a barren pocket field where the pockets no longer grow. So you say, “I guess I’ll just stick my phone up my butt.” Someone overhears, and the next thing you know, intra-anal wallets are a billion-dollar business? No, because I'm a man, and our trousers have pockets. Hell, I won't even buy sweats that don't have pockets. Still, that idea would go a long way toward reducing pickpocketing. 4. Schrödinger’s Cat I always had a problem with this thought experiment, and no, that problem wasn't "that poor cat." It was, after all, only a thought experiment. Austrian or not, torture wasn't Erwin Schrödinger’s thing. No, my problem is that it gives primary focus to the role of humans as observers, when there is one sentient observer who knows if he's alive; to wit, the cat. Physics in the 1930s was a wild west, or at least as wild as a bunch of nerds can get. There was all this quantum shit going around, things that can be nowhere and everywhere until you look at them, and not everyone was on board. For a dick joke site, this is a remarkably thorough but succinct summary of the situation in physics in the 30s. In response, he developed the “Cat Paradox,” which was supposed to illustrate what Schrödinger regarded as a flaw in the theory in the most ridiculous way possible. Obviously, a cat can only be either alive or dead, not both, and it doesn’t particularly matter who’s looking at it. Any cat owner can tell you they couldn’t give less of a shit about the actions of humans. That, too. But the joke was on Schrödinger. Quantum mechanics is now a pretty uncontroversial theory, and we’ve differentiated the behavior of quantum particles and non-quantum, catty objects, but that hasn’t stopped physicists from taking Schrödinger’s supposed paradox as a challenge. But still haven't actually involved real cats, to the best of my knowledge. Anyway, QM is indeed uncontroversial in its description of effects, but there's still debate about interpretations thereof. But yeah, it's all because one physicist was trying to get cute with a gedankexperiment. On a somewhat related note, the term "Big Bang" was coined by someone who didn't accept the idea of an origin for the universe. 3. America’s (Possibly the World’s) First Female Mayor To be fair, lots of politicians are jokes, regardless of gender. Or party. In 1887, when women were only kind of considered people, the ladies of Argonia, Kansas had just won the right to vote in local elections but still really only had the power to be mad about drunk dudes. I'm not going to blame the evils of Prohibition on females alone. The Eighteenth Amendment (Prohibition) was passed before the Nineteenth (chicks can vote). But seriously, it's shameful how long it took for women to be able to vote even locally. ...they did underestimate how much local Republican Party officials disliked election tampering. Contrast that to today, when that party has it as an official platform plank. 2. Pickering’s Harem Unfortunate name for the surprising discovery that women are people and can do jobs. Pickering was well aware that Williamina Fleming, the immigrant single mother he’d recently hired as a maid, was brilliant. His wife, the daughter of a former Harvard president, had even previously told him he should hire her to do more than dust. He eventually reached a point where doing so seemed advantageous on a number of levels. For one thing, women could be paid a lot less than men, but as an added benefit, her success would humiliate all those guys he just fired. How... progressive. It turned out Fleming and the other women on the team she oversaw, grossly referred to as “Pickering’s Harem,” really were much better than the men they’d replaced. They were only supposed to do tedious clerical and computation work based on photos of the night sky, “but they were very bright, so they drew their own conclusions and made several important discoveries." Imagine that. 1. Trickle-Down Economics I can't even see that phrase without imagining Reagan and Thatcher pissing down on the general public. Or without getting spitting mad about it. ...but the man who articulated it best was mostly in the business of dancing around in silly cowboy costumes. No, not Ronald Reagan — humorist Will Rogers. Like I said, comedy. Like many of the comedy greats, Rogers was mostly talking out of his ass. He was a vaudeville performer with a 10th-grade education, not an economist. But he turned out to be right: Trickle-down economics has been a disaster for the American economy. No, it hasn't, not for the ones doing the trickling. Despite my blinding rage at the entire concept, it is a concept, and it started (unintentionally) with a comedian. Yet another reason we really should watch what we say. |
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