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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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January 22, 2021 at 12:02am
January 22, 2021 at 12:02am
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PROMPT January 22nd

What books are on your reading list?

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Honestly? At the moment, none.

I go through cycles: reading - video games - shows/movies. At the moment I'm in a shows/movies phase, determined to (re)watch every episode of every Star Trek. Including the movies. Yes, including those movies.

There are a couple of books on my Kindle I'll get to when I get to them, but right now I'd have to look to remind myself what they are. Nothing spectacular, just what would be called pulp novels if they were actually printed rather than e-books. Sometimes they're surprisingly good. Other times, not so much, but as a writer I learn from negative examples as well as positive ones.

When I'm in a reading phase, sometimes it'll be a run of fiction and sometimes nonfiction. For fiction, it's usually SF and/or fantasy. For nonfiction, it's usually some sort of science or mathematics.

The one constant is I keep up, at least a little bit, with certain topics on the internet. That's reflected in here when there's not a blog challenge going on. Very likely, that will happen again after this month's challenge is over -- unless I get squirreled by something else. This long doing prompts, my current list of articles could keep me busy for quite some time.

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