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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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Congratulations on winning an honorable mention for Best Blog at the 2018 Quill Awards for [Link To Item #1196512] . *^*Smile*^* This award was sponsored by the blogging consortium including [Link To Item #30dbc] , [Link To Item #blogcity] , [Link To Item #bcof] and [Link To Item #1953629] . For more details, see [Link To Item #quills] .](https://images.Writing.Com/imgs/writing.com/writers/badges/type-Blogging-2180.gif) ![Merit Badge in Highly Recommended
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I highly recommend your blog.](https://images.Writing.Com/imgs/writing.com/writers/badges/Kudos-Highly_Recommended.gif) ![Merit Badge in Opinion
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For your awesome Klingon Bloodwine recipe from [Link to Book Entry #1016079] that deserves to be on the topmost shelf at Quark's.](https://images.Writing.Com/imgs/writing.com/writers/badges/group-Quarks_Bar-2046190_12.gif)       |
| ...or close enough. Can't resist the Springsteen reference. I'm just here overnight, and then it's back to NYC for a couple of days before I head home. I really like beach towns in the winter. Well, to clarify, I despise winter. Too cold. But yesterday wasn't that cold, so I actually spent a couple of minutes (shudder) outdoors. Not walking on the beach, though. I hate walking on the beach no matter the season. You know how everyone's dating profile says "loves long walks on the beach?" Not mine. Well, if I had one, it wouldn't contain that line. There's not much that annoys me more than sand in my shoes. Walking on a New Jersey beach barefoot isn't recommended, either. In the winter, it's too cold; in the summer, it's too hot; and in every season, it's too used-needly. Still, beach-adjacent is pretty cool. Last night was just a day after a full moon, which means that to a casual observer, it might as well be full. Also being a full moon, it hovered above the Atlantic after rising, and honestly, if you've never seen the moon reflected on the ocean, you haven't lived. Often known as the Wolf Moon, it's not, as most sources assert, necessarily the full moon of January, but the first full moon after the solstice. Didn't look like a wolf, though. Just looked like a moon. One thing I particularly enjoy about beach towns in the winter is that restaurants tend to be less busy—the ones that stay open, anyway. It's more relaxed, fewer tourists (I'm not a tourist; I'm a visitor), and even if the food isn't as fresh, at least it's prepared with more care. Sometimes, if you're really lucky and hit it at just the right time, you're the only one there. The one we went to yesterday, though, was damn near packed. Disappointing. Food was still delicious; it's been a while since I've had linguini with clams, and what better place than the shore? Well, okay, there are probably better places to eat seafood than the Jersey Shore, such as "anywhere else." I've even had good sushi in Iowa, and that's almost as far from the ocean as it's possible to get in North America. Anyway, whatever; it was good and barely tasted like mercury at all. |
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