%%USERNAME%%    %%ACCWORDS%% %%ONOFF%% |
 |    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. ![Merit Badge in Quill Award
[Click For More Info]
Congratulations on winning Best Blog in the 2021 edition of [Link To Item #quills] !](https://images.Writing.Com/imgs/writing.com/writers/badges/group-Quill_Award-1375927_6.gif) ![Merit Badge in Quill Award 2
[Click For More Info]
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
[Click For More Info]
Congratulations on winning the Jan. 2019 [Link To Item #30dbc] !!](https://images.Writing.Com/imgs/writing.com/writers/badges/group-30DBC_Winner-2064535_14.gif) ![Merit Badge in Blogging
[Click For More Info]
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
[Click For More Info]
I highly recommend your blog.](https://images.Writing.Com/imgs/writing.com/writers/badges/Kudos-Highly_Recommended.gif) ![Merit Badge in Opinion
[Click For More Info]
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
[Click For More Info]
For your inventive entries in [Link To Item #2213121] ! Thanks for the great read!](https://images.Writing.Com/imgs/writing.com/writers/badges/Kudos-High_Five.gif) ![Merit Badge in Enlightening
[Click For More Info]
For winning 3rd Place in [Link To Item #2213121] . Congratulations!](https://images.Writing.Com/imgs/writing.com/writers/badges/general-Enlightening.gif) ![Merit Badge in Quarks Bar
[Click For More Info]
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)       |
| Merry Christmas to those who celebrate it. As for me, well, a few days ago Drunk Me got into my Amazon account and ordered the final book in a fantasy series I've been following (Brent Weeks, if you're curious, or even if you're not), so I'll be spending the day reading the massive tome. Thanks for the holiday gift, Drunk Me! You shouldn't have! Nah, I'd have bought it sober eventually. But then, seeing articles like this one kinda makes me want to drink: https://www.newyorker.com/magazine/2019/10/28/astrology-in-the-age-of-uncertaint... Astrology in the Age of Uncertainty Millennials who see no contradiction between using astrology and believing in science are fuelling a resurgence of the practice. Fuck your stupid generation demographical nonsense again, but still, the article has some interesting stuff in it. “That is one of my favorite things, as a Leo and as a person—building community,” she said. It was a little before eight-thirty, and some of the fifty-two participants—who had paid between $19.99 and $39.99 each—were typing hellos; one woman, in Europe, had set her alarm for 2:30 A.M., to log in. You know, I can't even work up outrage over people making money from astrology. Gotta keep the economy going somehow, and I don't know many astrologers with private jets (likely, the planets never told them when would be the optimal time to buy one). In its penetration into our shared lexicon, astrology is a little like psychoanalysis once was. At mid-century, you might have heard talk of id, ego, or superego at a party; now it’s common to hear someone explain herself by way of sun, moon, and rising signs. Psychoanalysis has had - probably still has - its problems, to be sure. Freud is all but dethroned as anything except the guy who started it all, and many closely-held beliefs of early psychology have been turned on their head - "id, ego or superego" among them. But you know, that's how science works: Make a theory. Test the theory. Revise or replace the theory. (That's an oversimplification of the scientific method, but bear with me here.) Just as medicine moved away from balancing the humors and whatnot, psychology advances, in fits and starts, as more studies are done and more data collected. They learn from their failures - most times. There is no science to astrology. I mean, okay, there's math, but as this article points out, that's all done by computer programs now; I'd wager few of these younger astrologers could compute charts by hand as it used to be done. But computing the chart is only the first step; next up is interpreting it. And there's no science to that; only the accumulated guesswork of generations of astrologers. Sure, sometimes it seems to be right, even scary right. There's a lot of stuff at work there, not the least of which is confirmation bias. Back when I was genuinely interested in the practice, a friend of mine who's an accomplished astrologer wanted to do my natal chart. Thing is, I have no idea what time I was born (as the article points out, this is essential). I know the day, and the place, but not the time, and obviously over the course of the 24 hour day any one of the 12 star signs could be "rising." And supposedly the rising sign (the zodiac sign subtended by the eastern horizon) is third in importance only to sun sign and moon sign - which, in my case, are the same thing. So. If there's any science to it at all, we ought to be able to work backwards. I had a pretty good idea of my personality and, being my friend, so did he. So, in theory, if you subtract the influence of sun-in-Aquarius and moon-in-Aquarius, the dominant aspect that remains would be my rising sign, et voilà , I'd know to within a couple of hours the time I was born. It shouldn't come as a surprise that every one of the 12 possible rising signs had near-fits to my actual personality. That's the thing about us Aquarians: we're highly skeptical of astrology. Anyway, I'm not really feeling like quoting more from the article. I've never been a fan of The New Yorker's preferred highbrow, rambling style that usually circles the point like a dog about to take a nap - if it ever gets to the point in the first place. This doesn't, really; it just goes on and on about how different people approach astrology. But, as unscientific as it is, I just can't work up to the point where I get mad about it. Energy crystals? Hogwash. Homeopathy? Dangerous hogwash. UFOlogy? Balderdash. Prosperity gospel? Fraudulent balderdash. Can it be dangerous? Sure. As the article points out, that utter asshat Reagan was a fan; imagine consulting an astrologer to decide when would be the optimum time to launch nukes. But that's an edge case; most of us don't have access to the national weaponry. The way I see it, in the world we live in, we're overwhelmed with choices, and it can be paralyzing. Everything from which laundry detergent to buy to which restaurant to visit is fraught with possibilities that even our recent ancestors would have boggled at. If some people want to turn to the skies and those who interpret them to help them make such choices? I get it. Sometimes I roll the dice, like I do when I decide which of my many waiting articles to post here; that's as good as astrology. I just wish more people actually looked at the stars. Maybe that'd get 'em out of the gutter. In parting, since it's Christmas, enjoy my favorite holiday song: |
View Portfolio
Visit Notebook
Send Gift Points
Awards
Badges
Send Email
Community Newsfeed
General Discussion
Sponsored Items
Book of Trinkets
Static Items
Books
Groups
Interactive Stories
Audio
Campfire Creatives
Community Notes
Crossword Puzzles
Documents
Folders
Images
In & Outs
Madlibs
Photo Albums
Polls
Product Reviews
Quizzes
Survey Forms
Web Pages
Word Searches
