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Wednesday, Oct. 9, 2024

7:22am EDT

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Complex Numbers

by Travelin' Waltz

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.

http://www.ddewey.net/mandelbrot/

Signature for Honorable Mentions in 2018 Quill Awards

A signature for exclusive use of winners at the 2019 Quill Awards

Signature for those who have won a Quill Award at the 2020 Quill Awards

Show Recent Comments

10 Most Recent Blog Comments:

Kåre Enga in Montana

about 5 hours ago
In response to "What a Pisser"

Every city should have something... most do. This is a college town so the grizzly bear with do.

Cackling QPdoll

Oct 6, 2024 at 8:16am
In response to "Like a Bosteels"

The glasses are cool. It's no wonder they walk off.

1 Like

Travelin' Waltz

Oct 5, 2024 at 11:57am
In response to "It Was Just Waffle"

Annette

, WakeUpAndLive️🦇Elf'sSpell

- there's also the Hergé Museum.

2 Like

Cackling QPdoll

Oct 5, 2024 at 6:14am
In response to "It Was Just Waffle"

I was so tense with you reading about your adventure. It's good the tour was rescheduled, but your legs lost out in the meantime. I'm sure returning to the hotel was so much fun! Glad you're having a good time. Well, despite the cobblestones anyway.

1 Like

Wordsmitty ✍️

Oct 5, 2024 at 3:49am
In response to "It Was Just Waffle"

Mmmm. Chocolate (the good stuff (not american))

I ordered food once with a computer tablet mounted on the table in Japan. Real people brought the food though. No robots. It was a Denny's. No I didn't get pancakes.

Computer and instructions to order food at Denny's in Japan

1 Like

WakeUpAndLive️🦇Elf'sSpell

Oct 5, 2024 at 2:47am
In response to "It Was Just Waffle"

Travelin' Waltz

and Annette

There is a giant wall painting (64 mtrs2)of TinTin in the train station South station (Zuidstation) entrance Hortaplein (Horta square) in Brussels. The statue of TinTin is in a little town Ukkel, unfortunately.

1 Like

Annette

Oct 5, 2024 at 1:35am
In response to "It Was Just Waffle"

French fries are really Belgian fries. Make sure to try some.

Do they have any Tintin statues?

Lazy Writer est 4/24/2008

Oct 4, 2024 at 12:28pm
In response to "Coats Do What Now?"

I do some want to make this trip! I hope you are having a ball!

WakeUpAndLive️🦇Elf'sSpell

Oct 4, 2024 at 3:53am
In response to "Coats Do What Now?"

When I was a couple of times in France I found the language difficult because of the speed at which they talk. With my limited (high school) knowledge of French. And the locals were not always that friendly. Have you met any of those? Enjoy Belgium, hm...I am not sure if you will like that country. We'll see. But I think the beer tour will be to your taste.

1 Like

Kåre Enga in Montana

Oct 3, 2024 at 3:38pm
In response to "Owl Miss This Place"

I like wandering. Yes, I may miss a lot but it's my dime and my time. I don't have a checklist.

I think I would like Dijon.

1 Like

October 9, 2024 at 1:36am

#1077983

What a Pisser

Lots of cities have a recognizable symbol, an icon which represents the city's, and sometimes the country's, character. Paris has that Tower. Sydney has the Opera House. Washington has the Phallus- errr, I mean Monument. Hell, even my city has one, the Rotunda at UVA.

Brussels, ancient economic powerhouse, capital city of the European Union, world culinary treasure... Brussels has the Manneken Pis.

Like the Mona Lisa (reportedly), the statue/fountain's size can be shockingly disappointing to first-time visitors. As that link notes, it's a bit over half a meter in height, and it's set in a relatively large fountain so it seems even smaller.

Please feel free to make your own jokes and insinuations about that last paragraph. I'm too tired to bother.

The first connection one might make is to those pissing-Calvin stickers rednecks used to put on the back window of their trucks. Usually, if it was a Ford, it'd be pissing on the Chevy logo; or vice-versa. This is different, though I suppose that if it were mischievously pissing on anything, it'd be France. No, the Manneken Pis is more heroic than delinquent.

Anyway, you can read more about that that at the Wiki link above, so I'm not sure why I'm bothering with the background here.

According to my guide, they used to replace the water in the fountain with beer during their beer festivals, which, like the Manneken Pis itself, is a very Belgian kind of thing. I suppose the only more Belgian thing to do would be to replace it with liquid chocolate, but I'd imagine that'd be even harder to clean up, later.

When I was there, the statue was dressed up as a little graduate, because Brussels is having a graduation ceremony this week. Why Brussels schools graduate people in October, or exactly which schools are involved (high school or college or whatever), I never did find out and can't be arsed to look up. But this is the condition in which I found it.

4 Like • Comment • View 1 comment

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