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Saturday, Dec. 21, 2024

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Complex Numbers

by Waltz Invictus

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:

tj-Merry Mischief Maker

about 13 hours ago
In response to "To Err Is Human"

Right from the beginning I find myself asking, "How many times can anything go extinct?" On a side note, the other day while shopping I saw a neanderthal in the produce section. He was trying to fit in with modern clothes, but it was pretty obvious he was a neanderthal.

1 Like

Annette

about 18 hours ago
In response to "To Err Is Human"

Comments work.

"Like" button sends me this message:

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2 Like

Annette

about 19 hours ago
In response to "To Err Is Human"

Can I leave this comment?

Wordsmitty ✍️

a day ago
In response to "Five Seconds"

Way, way back when I was little, it was a three second rule that I remember. Sometime since it was upped to five seconds because of all the chemical preservatives that are pumped into everything now.

1 Like

tj-Merry Mischief Maker

a day ago
In response to "Five Seconds"

I also ate carrots right out of the garden growing up, I also picked and ate fruits and berries growing in the wild without washing. I do remember food dropped on the floor was either rinsed off and then eaten, or if it was something not easily rinsed, like buttered toast buttered side down, we gave it to the dog.

In our house, there's not a five second rule; unless it's something dogs can't eat, it's whichever one gets it first.

2 Like

🌖 HuntersMoon

a day ago
In response to "Five Seconds"

2 Like

Aiva Raine

Dec 17, 2024 at 7:39pm
In response to "Need for Speed"

Even with the actual explanation- it still left me going- sooooo what's the difference between the special expensive "speed tape" they use for "temporary fixes" and duct tape? LOL- sure sounds like duct tape to me and they are using it for exactly the same reasons you would use duct tape. I'm guessing that the only difference between it and duct tape is the "speed tape" is slightly stronger and handles temperature differences better. It still comes down holding the plane together with tape which doesn't exactly fill me with confidence. Especially if it's a Boeing plane.

1 Like

tj-Merry Mischief Maker

Dec 17, 2024 at 6:14pm
In response to "Need for Speed"

I suppose they call it speed tape to keep people calm. If they called it what it is, temporary repair tape, they may lose passengers.

2 Like

Waltz Invictus

Dec 17, 2024 at 9:43am
In response to "Need for Speed"

Ichabod Crane-- Mince Pie

, I've heard that speed tape is extremely expensive. I can only assume the maintenance guys at Delta got a five-finger discount. But if you're going to steal from work, might as well go big and not just lift a box of paper clips.

1 Like

Ichabod Crane-- Mince Pie

Dec 17, 2024 at 9:06am
In response to "Need for Speed"

One of the last jobs I had was with Delta. I did ask the maintanace guys about that tape once and they pointed out high speed will rip duct tape or any other tape right off. They used it personally for their boats sometimes because of its strength. But looking out a window at 400 miles an hour and 30 thousand feet up and see duct tape on the wing. Certainly made me nervous first time I saw it.

3 Like

August 3, 2024 at 10:22am

#1074722

What a Pain

Among the destination priorities that I attempted to communicate to the travel agent were a few—just a few, mind you—places that don't involve fine fermented and/or distilled beverages.

Most of them are in Belgium, because my original 2020 travel plans were for that country. The list includes the Hergé museum (you know, the Tintin creator) and, just to balance things out, the Torture Museum

in Bruges.

This probably freaked her out, but hey, that's like 40% of the point. It's not like that sort of thing is unknown in Europe. There was an exhibit of old torture devices in a castle I visited once in Wales. That one took the edge off the horror by incorporating the kind of humor one expects from the Welsh (see also: Doctor Who). You know... dark and dry, like a fine porter ale.

When it comes to knowing how to inflict pain on other humans, humans excel at that shit. Oddly enough, it goes hand-in-clamp with empathy. The reason I say that is that in order to figure out what would cause other humans pain, one must have the imagination to put oneself in their (iron) shoes. Like, "Would that hurt? It would hurt me, so, yeah, I bet it would."

As far as I can tell, this sort of thing happened (and is still happening) all over the world, but perhaps because of our own cultural bias, the penchant of medieval Europe for creative infliction of pain, often for the most minor transgressions (or none at all), is very well-known. Pretty much everyone has heard of "The Rack" and maybe the "Iron Maiden" (whether the dungeon furniture is a worse torture than the band named after it is still an open question).

But it gets worse. Much, much worse.

From the Atlas Obscura article I linked up there:

It’s a wonderfully dark journey with tons of intriguing information. Many of the devices are equipped with mannequins displaying how they were used, which creates a lurid atmosphere.

Look, if anyone asks (the travel agent, for example), I'll just be like, "I'm a writer." Hell, that's my excuse for all my questionable Google searches.

The museum may be shocking to small children as there are wax figurines.

So don't bring your small children. Do I have to think of everything around here?

Best of all, if I go, I expect I'll be there in October. Perfect Halloween material.

1 Like • Comment

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