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 |    Not for the faint of art. |
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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. ![Merit Badge in Quill Award
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| Hey look, a midnight posting. Helps that it's only 9pm here. One oddity (of many) about the L.A. area is the prevalence of astronomy observatories here. By my count, there are at least three: Mount Wilson (from yesterday's blog), Palomar (which I understand is currently closed) and Griffith, which is kinda sorta near some place called Hollywood. That's where we went yesterday. Griffith, that is, not Hollywood. As an aside, y'all know I love movies. So, probably, you'd think I'd be interested in seeing the movie part of L.A. But I'm not. I mean, I wouldn't turn it down or anything, but it's way too touristy and kitschy for me. I'm happy to watch the movies back on the other coast and then do other stuff in L.A., which is, after all, a really large area with lots of other stuff to do, including the reason I travel in the first place (breweries). Still, I couldn't resist getting lots of pictures of the famous HOLLYWOOD sign from various points in Griffith Park. But the cool thing, to me, was the observatory itself. I don't think they do actual science there anymore, but the history is impressive, as is the building itself. They've converted it into a museum. One thing that struck me was seeing just how goddamned busy it was. Crowded, even. This usually annoys me; crowds just get in my way, even disregarding the whole germ-spreading thing. But then I thought about it for half a second (I hadn't started drinking yet, or it would have taken two or three seconds), and realized: here are people jamming into a monument to SCIENCE on a Sunday afternoon. Some of them might even learn some shit. Some of them might even decide to learn more shit later. If there is a later... After Griffith, then we went to breweries, which were of varying quality but overall had delicious beer. Consequently, I'm just drunk enough to post this, after finally receiving yesterday's damage report upon returning to my hotel room. Let us dance in style, let us dance for a while Heaven can wait, we're only watching the skies Hoping for the best but expecting the worst Are they gonna drop the bomb or not? Let us die young or let us live forever We don't have the power but we never say never Sitting in a sandpit, life is a short trip The music's for the sad men Can you imagine when this race is won Turn our golden faces into the sun Praising our leaders, we're getting in tune The music's played by the, the mad men Forever young, I want to be forever young Do you really want to live forever, forever and ever? Forever young, I want to be forever young Do you really want to live forever? Forever young Some are like water, some are like the heat Some are a melody and some are the beat Sooner or later, they all will be gone Why don't we stay young? It's so hard to get old without a cause I don't want to perish like a fading horse Youth's like diamonds in the sun And diamonds are forever So many adventures couldn't happen today So many songs we forgot to play So many dreams swinging out of the blue If we let them come true Forever young, I want to be forever young Do you really want to live forever, forever and ever? Forever young, I want to be forever young Do you really want to live forever, forever and ever? Forever young, I want to be forever young Do you really want to live forever? |
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