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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 13, 2021 at 12:02am
December 13, 2021 at 12:02am
#1023146
For the rest of the month, I may be late posting or, if things don't work out the way I'm expecting, I might miss a day or two. Just a reminder, if you've gotten used to my schedule.

I'll get back to commenting on offsite links tomorrow.

Today, I just want to thank everyone who's been reading, and those who commented yesterday.

⭐Princette♥PengthuluWrites Author Icon - 837 day streak here. They say I'm in the top 1%. Your position is even more rarefied. Well done! Félicitations, j'espère que tu continueras.

🌖 HuntersMoon Author Icon, 10 years beats my marriage record by a lot. Awesome!

Soldier_Mike Author Icon, lots of people wait until the last possible minute to enter a contest. Even people who run contests and challenges. As for the bonus achievement, one advantage of not having a car is I don't run out to fast food places on a whim. Yes, there's Uber Eats, but so far I've resisted.

Sumojo Author Icon, the I Write activity is a great motivator, I've found. I know I participated in it once. Can't remember if I finished. I seem to remember getting hung up in September when I just couldn't take another "birthday" prompt. And congrats on the anniversary - you even have 🌖 HuntersMoon Author Icon beat there!

QPdoll Author Icon, that's awesome about the degrees! And obviously I'm a fan of 30DBC, but I don't think I ever participated in all six in one year - that's certainly an achievement.

Quilli ☕ Author Icon, you know, that's a major accomplishment these days.

Legerdemain Author Icon, thanks, always good to hear from you. And waking up every morning is something I've never managed to accomplish, so yay!

Prosperous Snow celebrating Author Icon, I tried to do Contest Challenge but I got freaked out at all the backlog. Putting it off is only making it worse. Awesome that you're able to do it. Congrats!

Annette Author Icon, I've heard that communication is key to a successful marriage. I wouldn't know firsthand.

Kåre เลียม Enga Author Icon, I appreciate all the encouragement you provide, not just to me, but to all bloggers. That's an achievement too. No, I don't feel obligated to write every day. If I did, I'd probably stop because it will have become "work." As long as I want to do it, I'll continue.

And since, like I said, I'm feeling generous, I'll send everyone who commented yesterday a Merit Badge (to be sent out later today). Also, I know I said CR not guaranteed, but if I've sent you one in the past two weeks (I know that applies to a few people here), I will hold off on sending yours until closer to the end of the month.

Again, thanks for reading, and congratulations on all your achievements!
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