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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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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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   PROMPT May 15th Many fairy tales are often based in truth. Research the true story behind your favorite fairy tale and share it with your readers. What lesson or warning was the tale trying to impart? I don't really have a favorite fairy tale. All the ones I can think of have stupid moral messages, like "don't be curious" or "wives should be submissive" or "never try to rise above your station in life." And the line between fairy tale, myth, and religious text is, as far as I'm concerned, so faint as to be nonexistent, but I'm not interested in offending anyone. I wrote about fairy tales in general in here about a month ago: "Wagging Tales"  . That entry was more about how these stories might have truly ancient origins, some possibly dating back to a time before writing. So I would expect that, in many cases, the kernel of truth that might have originally spawned the tale is lost in the mists of time.As for lessons or warnings, I have a habit of finding the "wrong" meaning in a lot of stories. It's kind of a hobby of mine. Why, just yesterday, Annette  wrote a newsfeed post about finding a decent translation of Oedipus. The note is here if you want to see it: "Note: I just read Oedipus Rex and Antigone. The 1982 tra...". Now, the story of Oedipus isn't what most people would call a fairy tale, but it's a story with a moral that presumably appealed to its original Greek audience. It occurred to me, however, that the bad things that happen in that story would never have happened had the Greek roads been wide enough to let Oedipus pass his (he didn't know it was his) father without them getting into a fight and Oedipus committing inadvertent patricide. The Greeks probably saw something about hubris, or the futility of avoiding prophecy, or the need to take responsibility for one's actions however inadvertent they might be, or whatever they saw in the story. Me? I said that the real problem was if you don't invest in infrastructure, there will be tragedy.So, okay, actual fairy tales. I suppose Little Red Riding Hood qualifies. There are a bunch of different versions, though. In some of them, Red has agency; in others, not so much. This likely reflects different cultures' ideas about how passive little girls should be. The one I generally remember has a woodsman (aka a Mighty Male Hero) coming to her rescue. Thing is, though, I could never find any allusion to that tale having its roots in a true story. Likely, it's more allegorical - which is fine, because often, allegories illuminate deeper truths. My favored interpretation is that, as with the one about the frog-kissing princess, it's about the transition from the innocence of childhood to the realities of adulthood. There's also some talk about it being a repurposed Norse myth, which of course involved Loki pulling one of his usual trickster god tricks. Myths, of course, often also come from true stories, but again, those stories tend to get lost in time. If I were rebooting the LRRH story today, though, I'd change the ending. No woodsman, or if there is one, he's the actual bad guy, and the Wolf would turn the tables on him and maybe wear his skin as a trophy. Turns out the Wolf only killed Grandma because Grandma was plotting to drink Red's blood in an attempt to gain immortality, and the whole façade of Wolf scaring the hell out of Red is a lesson for Red in not trusting people simply because they look like sweet, innocent old ladies. And then Red and the Wolf trot off into the woods together to live happily ever after. The better to eat you with, my dear. |
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