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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. |
Some prompts, I suppose, are easier than others. PROMPT July 3rd Describe a missed opportunity you encountered, and how things might have been different if you hadn't missed it. See, I had the opportunity to NOT get drunk tonight. And I missed that opportunity. My favorite local brewery has a Wee Heavy Scotch Ale, and it is delicious. Too delicious. Okay, so, yesterday, I mentioned two of my favorite artists: Brandi ![]() What a lot of people don't know is that the former covered the latter. Seriously, I was going to wait and do this later, because I have a thing in my Blog Fodder folder about this particular song. But I'm drunk. So. Here it is. A video you would not have seen had I not decided to drink myself into oblivion tonight. Two highlights of my life: seeing Brandi ![]() To address the prompt: if I hadn't gotten completely drunk tonight, I would not be this happy. And that's all, folks. |