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Rated: 18+ · Book · Personal · #1196512
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.




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October 3, 2024 at 12:09pm
October 3, 2024 at 12:09pm
#1077683
The weather decided to give me a break, just in time for another wine tour out in the countryside.

Yesterday's excursion took me into the nearby wine region of Beaujolais, source of one of my personal traditions.

I've talked about it enough in here before, but, in brief: Beaujolais Nouveau is released on the third Thursday of November, just in time to ship it to the US for drinking with Thanksgiving meals, which it accompanies very well. I try to get a bottle every year.

This is not, of course, the only wine produced in the region, and their more traditional offerings are very good.

But the funny thing I found out on this trip is: the French consider it a trash wine. Which probably explains why the US gets so many bottles in November; they unload their stock on us so they don't have to drink it themselves. Every year when it's released on Beaujolais Nouveau Day,   though, they get together and party to drink the stuff and complain about how bad it is. And probably to laugh at the Americans who they can pass it off onto, but for some reason none of the tour guides I talked to would admit to that.

Thing about it, though, is the wine may be crap, but it's cheap crap, and to me, the price of the stuff figures into the taste. So yeah... I like it. Deal with it, France, because I have to deal with beer drinkers claiming to love Bud Light.

In other news, today is my last full day in France, but I'll talk more about today's events tomorrow, which is when I'm scheduled to get on a train to Belgium. I'm of the considered opinion that no trip to France is complete without at least one decadent, elegant, crazy expensive formal dinner. So I had mine last night, in the restaurant on the top floor of my hotel.

The only thing more boring than hearing about someone go on about their dream last night is hearing them talk about their decadent and crazy expensive French dinner, so I'll spare you most of the details, only to say it was everything I expected and not nearly as expensive as I thought it would be (and that neither snails nor frogs were involved). I accompanied it with a bottle of Pouilly-Fumé, which is not from this region, but what the hell, I like it and it was on the menu.

When I say bottle, I mean bottle. Damn right I polished it off.

Today's vacation photo was from an overlook where we stopped on the tour for a glass of wine. You will note that it's not raining, and that the view was incredible.


 
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