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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. |
PROMPT November 17th There are 45 days remaining in the year. What do you want to do or accomplish before 2019 is over? Drink more. Today I went to a beer release party. The beer in question is a bourbon-barrel graham cracker imperial stout, and it is delicious. Moreover, they had samples of the bourbon in whose barrels the beer was aged, and... wow. And to top it all off, they were giving out t-shirts from the distillery what made the bourbon. I got a size L. I fit into a size L t-shirt now. I'm fucking cut. Ahem. Anyway. Drink more. I'm out of practice. You know, there is one thing I was hoping to accomplish before the year's out. I was doing really well at writing a contest entry every week, and then September happened and all the contest prompts became birthday this and cake that and I just couldn't cope. If I write a lot of contest entries, I could theoretically catch up by the end of the year. But I have a week of travel next month, and the actual holidays, and this blog activity, and all kinds of other excuses, so I don't know if I can do it or not. Probably not. There is only so much winning I can do before I start to feel bad about being so awesome. |