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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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December 18, 2020 at 12:01am
December 18, 2020 at 12:01am
#1000412
"30-Day Blogging Challenge ON HIATUS" Open in new Window. [13+]:
18. Bake Cookies Day
As if we need a designated day for this, lol.
Write about your favorite cookie(s) or cookie baking experience.
Anything to do with cookies!

"JAFBG" Open in new Window. [XGC]:
You wrote a Christmas list but accidentally addressed it to Satan instead of Santa. What gifts will you be getting this year?


Nothing either way because both characters are mythological.

But hey, I'm sometimes a fiction writer, so I can play along.

I would like the following things for Christmas:

A pony
Santa: I end up with a plastic Twilight Sparkle.
Satan: There's an ebony-maned steed with flaming red eyes snorting in my backyard.

A bike
Santa: A three-speed mountain bicycle.
Satan: 2020 Harley-Davidson Roadster waiting in front of my house.

A new gaming computer
Santa: Refurbished Dell
Satan: Acer Predator with liquid nitrogen cooled processor

A time machine
Santa: A digital watch
Satan: The TARDIS

A robot servant
Santa: Roomba
Satan: Data the android from Star Trek

On the downside, well, Santa would bring me all of those admittedly very nice things in exchange for some fresh-baked cookies (see, I worked the cookies into the entry too). I don't think Satan's interested in any cookies I could bake. Well... maybe if I made them double chocolate fudge chip with chocolate syrup drizzled on them... but no, I think I'd have to pony (pun intended) up something just a little more valuable.

Could be worth it, though, just for the Acer.
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