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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.




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March 14, 2023 at 8:51am
March 14, 2023 at 8:51am
#1046378
Behold, an article related to writing. From Cracked:



Writing is inventing, and many everyday words and phrases have come from the magnificent and maddening minds of screenwriters.

And from me, though I haven't managed to convince anyone else of that.

Someone yells “Derp!” and we immediately think BASEketball.

...No. Never saw it.

A person says “red pill” and up pops The Matrix in our noggins as we try not to spontaneously combust.

And there I immediately dismiss anything the person has to say. Not because of The Matrix, but because it's been appropriated by asshats.

Come to think of it, I wonder who came up with "asshat?"

Turns out it's not all that clear  Open in new Window., but the Coen brothers seem to have had a hand in it, or at least a finger, so that's okay.

Now, as usual, this is a countdown list, with 12 items. I'm not going to comment on all of them.

11. ”Catfish”

The 2010 documentary, Catfish, was the first to coin the term describing a person who scams someone by using a fake identity.

Huh. Seems to me it was older than that. Maybe that was just the practice, which is indeed much older than that.

10. ”Gunslinger”

It turns out that no one called those supposed gun-loving sharpshooters of the Wild West “gunslingers.” The term was coined in the 1920 Western movie Drag Harlan, and has become a staple term ever since.

Quick, someone alert Stephen King. Also, don't bother with the movie.

7. ”Google”

Thank Buffy the Vampire Slayer for being so tech savvy and turning “google” into a verb. The moment happened in the 2002 episode, “Selfless,” in which Willow asks Buffy: “Have you googled her yet?”

Almost every company wants their brand name to become generic. Like Kleenex or Band-Aid, or Coke. Unless, of course, it's pernicious, in which case, lawyers get involved.

5. ”Nimrod”

Another word that was already in existence — its original definition means “skilled hunter” — but was changed in meaning thanks to Daffy Duck from Looney Tunes fame who used it to insult hunter Elmer Fudd, implying that Fudd's “a buffoon.”

This one, I knew. Nimrod is from the Bible. I like Looney Tunes' take on it better.

3. ”Friend Zone”

Written as part of Joey Tribbiani’s dialogue in “The Blackout” episode of Friends, the phrase took a while to catch on and, perhaps, would've been lost in the ether … if it weren’t for every second online publication writing a puff piece about the dreaded and, let’s face it, entitled concept of being “friend zoned.”

Pretty sure I remember that from before, too. But I could be wrong. Also, I never saw a single episode of Friends; it was on during the time I swore off (and at) television.

There's lots more at the link. Words have power, and if you can come up with one that sticks, well, that's really fetch.


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