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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 Best Blog in the 2021 edition of [Link To Item #quills] !](https://images.Writing.Com/imgs/writing.com/writers/badges/group-Quill_Award-1375927_6.gif) ![Merit Badge in Quill Award 2
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2022 Quill Award - Best Blog - [Link To Item #1196512] . Congratulations!!!](https://images.Writing.Com/imgs/writing.com/writers/badges/group-Quill_Award_2-1375927_6.gif) ![Merit Badge in 30DBC Winner
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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)       |
It's retro time again. Today we're going all the way back to... the beginning of 2021, with "The Only Certainty is Uncertainty"  I probably wouldn't have bothered doing a New Year "looking forward" entry if it weren't a prompt from 30DBC. Or maybe I would have; I don't know. I guess that's part of the "uncertainty" thing. One thing I hope I will not do: repeat my 2020 "blogging every day" achievement. Because if I do that, it would mean I will have been stuck at home all year again, rather than traveling like I want to. Well, we know how that turned out: I did manage to travel, albeit only within the US, and I also did a daily blog entry. Also, the main trip I want to take is to Europe, and last I heard there were still travel restrictions there. I think those have all been lifted now, but there's still a war going on and no reason to think it won't spill over into NATO and the EU. On last year's New Year's Day entry, I wrote: "I have some plans, but life has a way of interfering with them." Prescience? Nah, pessimism. Okay, maybe a little bit of prescience. A few things, besides travel, that I would like to do this year (meaning 2021) see movies in the theater Did that; even reviewed most of 'em. drink Definitely did that, although I disappointed myself because I didn't drink as much beer in 21 as I did in 20. My Untapped stats came in for this year a couple of days ago, and I still haven't returned to 2020 levels. So at least I have a goal for 2023. do the biweekly Zoom meetings for WDC folks Managed to do that through the end of 2021, but we let it go after that. listen to music Yes, but not as much as I would have liked. i mostly do that in the car, and after early July, I no longer had a car. play computer games I always seem to manage that, somehow. blog As you know. learn more French and maybe Dutch Tried Dutch. Found it harder than French. Will try again now that I've gone through all the French lessons. continue doing Comedy and Fantasy newsletters monthly Been doing those for 15 years, or thereabouts. No plans to quit soon, though sometimes thinking of a topic is difficult. Even harder to come up with topics I haven't done before. and attempt to be funny At that, I was successful. The attempt, that is. Whether I was actually funny or not continues to be a matter of opinion. So that was my mindset nearly two years ago. We're coming up again on the time of reflection and prediction, all based on the entirely arbitrary changing of the calendar. Will I, again, fall victim to the New Year zeitgeist? Uncertain. |
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