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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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May 30, 2021 at 12:03am
May 30, 2021 at 12:03am
#1010983
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PROMPT May 30th

Congratulations on making it to the last day of the competition! What was your favorite prompt from the last month? What was the most rewarding aspect of participating in the competition?

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I gotta say, I liked almost all of the prompts this month; they were all interesting and open-ended enough that I could spin them however I wanted. I can't claim a favorite, really, though I probably had the most fun with the one from the 25th, about finding something valuable.

Of course, it turns out that the most valuable things are the friendships we... okay, no, I can't keep a straight face with that. *Sick*

Still, I always like reading others' comments and blog entries, and the opportunity to comment on entries I might not normally see. I really do appreciate different opinions and perspectives, even though most of them are demonstrably wrong.

Yes, yes, I'm kidding; relax.

Thanks for reading, thanks for commenting, and hey, since I haven't done one this month, how about a

*StarB* *StarB* *StarB*


Merit Badge Mini-Contest!


Tell us about your Memorial Day plans! If you're in the US, of course. If not, tell me how you perceive this particular US holiday; I like getting points of view from other countries.

No need to make it a competition, though; as long as your comment has something about Memorial Day, it'll count, and I'll pick a MB recipient at random on Monday. The deadline is, as usual, midnight WDC time at the end of today (Sunday).

I'm not going anywhere, not yet, so there will be more blog entries, and more MB contests in June. Hope y'all stick around!
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