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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. |
With the end of the month comes the last prompt from "JAFBG" ![]() What's your unpopular writing or book opinion that you know is a bit controversial? I've discussed some of these in here before. Honestly, though, most of my opinions are about movies, not books. It's still writing. Some book opinions: ![]() ![]() ![]() Television: ![]() ![]() Movies: ![]() ![]() ![]() Yes, those are my opinions (though I know the prompt only asked for one; consider the others a bonus). And no, I don't expect people to agree with me; otherwise, it wouldn't be "controversial." Speaking of movies, you might note that I haven't done any movie reviews lately. That's because the only theater I care to go to right now is the Alamo near my house, and for the last three weeks, they've had nothing I wanted to walk in the freezing cold to go see. It doesn't look good for this week, either. Naturally, this happens right after I subscribe to their effectively unlimited (one free movie a day) pass. Hopefully they'll get some soon that might be worth it to me to check out. As for next month, I've got some articles to share, but I'll also be doing some prompts for "Journalistic Intentions" ![]() And finally, thanks to the folks at "JAFBG" ![]() |