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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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   PROMPT May 29th We need your help filling the Challenge War Chest with new prompts for future rounds of the 30DBC! Write three of your own prompts and then use one of them to finish the rest of your entry. Yeah... I've been dreading this day. As I'm sure I've said before, I only have a limited supply of prompts in my head. I have to use one every week for the Cramp, and with that it's often the case that I can't come up with one until the last minute. When you ask a computer to generate a random number, you don't really get a random number. It's what's called a pseudorandom number, based on a seed value. And that seed value will always generate the same sequence of pseudorandom numbers. This is a good thing for debugging programs. It is not such a good thing when you want an actual random number. To get around this, sometimes the generator will pick some environmental value as the seed. I hear background noise level is a common one; it tends to vary unpredictably. As for the computations it uses once you give it a seed, well, that's above my pay grade, but from what I understand it involves chaos theory and... well... complex numbers. The point is, humans -- even the one writing this -- are horrible at choosing random numbers. Unpredictable numbers, sure, but if you ask a bunch of human to give you a number between 1 and 10, for instance, you will get 1 and 10 relatively rarely. But if you roll a 10-sided die multiple times, or have a computer select the numbers pseudorandomly, you'll get them with approximately the same frequency as the other 8 numbers. What I mean is... we all have our biases, and most of them are unconscious. So, for example, if I just saw my cat sniffing at the mint plant that I've somehow managed to keep alive for months (the average life expectancy of a plant in my care is about 3.4 seconds), I'll come up with a prompt like "Write about how a pet's curiosity gets her in trouble" or something like that. (Because mint is similar to catnip, and I'm quite good at killing the plant on my own, thanks, I don't need your help, kitty.) How does this relate to prompts, you ask? Well, ideally, I'd pick them at random. But that requires something like a predetermined list that you can choose from at random, or at the very least, several sets of ideas that you can blend together. Both of these still require some thought, and thought may be unpredictable to an outsider, but it's not random. So anyway, here are three prompts that were prompted (heh) by things in my current environment. 1) What's your least favorite kind of litter, and how would you eliminate it? (There's a discarded paper plate on my deck because I was using it to feed the cats, and I can't be arsed to pick it up right now because it's wet.) 2) Write about a memorable rainstorm. (The paper plate is wet because there's a soft rainfall going on right now.) 3) How do you avoid being rained on? (I'm able to sit on the deck and type this on my laptop while it's raining because I have a nice patio umbrella that's useless when it's windy, but right now it's not windy.) Now I'll use a random number generator app to pick one. This is how I pick things to talk about when I'm not doing this blog challenge. I could use WDC's Virtual Dice, but my phone is more convenient. 2) Write about a memorable rainstorm. In August of 2017, a solar eclipse streaked across the United States. I'd known about the eclipse for years, because, hello, nerd here. I figured I'd wait until a year or so before the eclipse, and find a brewpub along its path, and make reservations at a nearby hotel. There's a good chance of a brewpub being in the path of such an eclipse, because the path spanned the US, and we have a lot of brewpubs. I figured I'd sit outside to have a beer and watch it. Well, that didn't happen; what with one thing and another, I procrastinated, as is my wont, and it was only like two weeks before when I thought, hey, I really would like to see a total eclipse. I figured, okay, I'll go to Wyoming and find a spot out in the middle of nowhere because there's a lot of nowhere in Wyoming and that state, of all the ones crossed by the eclipse, had the smallest chance of being overcast on an August day. Any more west, and you run into the notoriously cloudy PNW; east coast, and you get hurricanes sometimes in August. But then my friends wanted to go, too, and neither of them could be arsed to go to Wyoming. We settled on Misery. I called it "the Missouri compromise," because at first they were thinking closer states like Kentucky or South Carolina, which, like I said... chance of rain. My friend miraculously found a hotel room available the night before and after in central Misery, so we spent a lot of money reserving that, and off we went. The day of the eclipse came, and... there were clouds. Fortunately, they were the thin, high ones, clouds that only very barely covered the face of the accursed daystar. We saw the eclipse. It was awesome. But that's obviously not relevant to the prompt. What is relevant is that, the next day, we were driving back along I-64, and the skies opened up and poured down rain fit to sink Noah's ark. I couldn't see in front of my hood. The wipers became useless; I could see better without their constant slapping. That kind of rain. Now, when you're driving down an interstate in conditions like that - and I've done it in rainstorms, fog, and at least one blizzard - you're fucked. If you slow down, you risk getting hit from behind. If you speed up, well, don't do that. If you keep going at your pre-deluge speed, you risk slamming into the idiot in front of you who slowed down. If you pull over to the shoulder or under an overpass to wait it out, you risk someone else having the same idea and, again, slamming into you. Normally, such a storm lasts about five minutes, and then you get better, if wet, visibility. Well, this one must have also had the idea to take I-64 east, so we were in that thing for what felt like hours but was probably only half an hour. Long enough to get into many accidents. Spoiler: we didn't. Driving down that interstate, hands clutched on the wheel, peering ahead for the telltale signs of brake lights (which would be the only way I could see a car ahead of me, and then probably too close to safely slow down or stop), all I could think of was: "Gee, I'm glad it wasn't doing this while we were staring at the sun yesterday." There's another eclipse in the US in April of 2024. I'll have to drive to see that one in totality, too. Assuming I'm still alive for it, I'm looking forward to that. Rain or no rain. |
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