◄     May     ► S M T W T F S 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 Archive RSS
Creative fun in

# Complex Numbers

Rated: 18+ · Book · Personal · #1196512
Not for the faint of art.
 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. .
May 9, 2021 at 12:05am
May 9, 2021 at 12:05am
#1009897
 La Langue PROMPT May 9th Write about language - What languages do you wish you could speak? Whatâ€™s the most pleasant sounding accent? Whatâ€™s the funniest word in the English language (or your native language)? Periodically, someone will come up with a "longest word in the English language" essay, probably because they're not being paid by the word but by the letter. Almost inevitably, the winner will be declared to be "floccinaucinihilipilification" or "antidisestablishmentarianism," the former of which means, roughly, "making a big deal about nothing." Which is appropriate, because English is largely arbitrary, and if that word were truly necessary, we Americans at least would shorten it to "flok" because why pronounce such a long word when we could use the time to stuff another Big Mac into our maws? Incidentally, I may have a shit memory, but I typed those words without Googling them. I can't promise they're spelled correctly, because my browser doesn't recognize them. Which means they're not actually the longest words in the English language; if Firefox doesn't know it, it's not English. In any case, neither word sees everyday use; the only time I ever see them is in "longest word" articles. Some of said articles are quick to point out that there are even longer words, but they qualify as technical terms. Those I don't remember as vividly, but as I recall they're from chemistry. Chemistry was heavily influenced by the German language, which I don't know a whole lot about, but which I understand is very good at stringing a lot of short words together to make a mega-word. Which, again, is appropriate, since a big molecule is a bunch of short molecules strung together to make a mega-molecule. Though English is technically a Germanic language, most of our vocabulary (about 60%, if I recall correctly) comes from Romance languages, largely through the influence of French. And Romance language words just don't have the same stringthemtogetherabilityness. Point being, "longest word" and "funniest word" are both pretty arbitrary, and at some point all you're doing is making shit up. Which, I suppose, is how language works in the first place. I mean, no name for a thing or action, no words that modify things or actions, no word at all, is an intrinsic property of the thing, action, or modifier. A case could be made for those words that are onomatopoeic, like "buzz" or "meow," in terms of them being intrinsic to the things they describe, but given that those words are different in different languages, it all comes down to how we interpret the sounds. Apropos of nothing, I've actually been to Llanfairpwllgwyngyllgogerychwyrndrobwllllantysiliogogogoch, in Wales, which may or may not be the longest place name in the world. Put that on a map of the planet, and it will either start in Canada or end in Russia. That's not English, though. It's Welsh. Never call Welsh "English," lest you invoke the wrath of actual Welsh people. Then you might get a sheep thrown at you. I did have to look that one up, incidentally. As you can tell, and as you know if you've been following along, I kinda love linguistics. I don't know nearly as much about it as I'd like to. Given that the only other language that I have any facility in whatsoever is French, and that only on a beginner level after nearly two years of practice, it's difficult for me to engage in too much comparative linguistics. I used to know some Hebrew and Latin, but the funny thing about language is if you don't use it, you lose it. Unless, I suppose, you have a much better memory than I do. Speaking of French, even before I started learning it full-time, I always thought it was a very pleasant-sounding language. Probably not when it's being shouted at you from across a battlefield, but in other situations. I mean, compare the sound of Â« Voulez-vous coucher avec moi ? Â» with its rough English translation, "Wanna bone?" and you'll see what I mean. But no, I'm not learning French so I can pick up French chicks. I'm too old for that merde. (But, still, I wouldn't say non.) I'm learning it so I can drink wine in France and beer in Belgium. One language that I've wanted to learn for a long time is Russian. Of course, with the political climate today, that would probably get me put on a List somewhere. And I've found that I'm terrible at learning more than one language at the same time. Hell, I'm not that great at learning one language at the same time. But it's not going to stop me from trying.