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Tuesday, Nov. 5, 2024

10:27pm EST

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Complex Numbers

by Robert 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:

Aiva Raine

about 7 hours ago
In response to "It's Hard Not To Scare"

Shaking head. Aside from the inevitable Simpson's spider goat song playing in my head which I will now share with you below, whenever I come across a story that has all these scientists doing ridiculous experiments for no logical reason, I must go- ah- scientists- CANCER? You do remember that problem right? Can we maybe cure that before we make cockroaches magnetic and elephants see pink elephants?

spider pig clip- and if you all now are singing the spider goat song- you're welcome! grin
https://www.youtube.com/watch?v=BARjPuUN36Y

1 Like

Aiva Raine

about 8 hours ago
In response to "Anomalies"

One of your more humorous entries- I especially enjoyed- "Lofoten Vortex can be the name of my Bjork cover band."

Thanks for the laughs. Much appreciated.

2 Like

JayNaNoOhNo

about 9 hours ago
In response to "Anomalies"

*Toronto, Canada submits a sternly-worded petition and disputes the center of the universe claim.*

2 Like

tj-turkey-jobble-jobble-hard-J

a day ago
In response to "It's Hard Not To Scare"

Smarter mice? Just what we need!

1 Like

Wordsmitty ✍️

a day ago
In response to "It's Hard Not To Scare"

"Friendly neighborhood spider-goat." Isn't Marvel working on that for release in '26. - "Yes, it's cute, MJ, but you shouldn't ..."

2 Like

tj-turkey-jobble-jobble-hard-J

Nov 3, 2024 at 3:52pm
In response to "Revisied: "Inevitable""

I can think of far more absurd ways to die, but most of them involve alcohol and maybe prostitutes... This statement reminded me of the passing of a friends grandfather; he died of a heart attack while intoxicated and with a prostitute, Viagra also aided in his heart failure.

2 Like

Turkey DrumStik

Nov 3, 2024 at 9:46am
In response to "She Said Spatchcock"

You can spatchcock, or butterfly, any bird.

That bit might only be funny if you're familiar with British slang.

It's really a pity that the British national team's mascot is a lion and not a rooster. Ironically, that's the French national team's mascot, which did make for a pretty good joke during the Olympics.

2 Like

Turkey DrumStik

Nov 3, 2024 at 9:31am
In response to "Cave In"

tj-turkey-jobble-jobble-hard-J

-Yeah, those instigators from Illinois and Texas would really degrade the standards of Hell.

2 Like

Turkey DrumStik

Nov 3, 2024 at 9:30am
In response to "Revisied: "Inevitable""

Though I clicked on it to check, I no longer follow that site and want nothing to do with them, which is why we haven't had any LitHub links in over a year.

Well, now my curiosity is piqued. What happened on this front?

2 Like

🌕 HuntersMoon

Nov 3, 2024 at 8:37am
In response to "Revisied: "Inevitable""

Let's get real. Once you're dead, you really don't care do you...

2 Like

January 15, 2023 at 12:02am

#1043148

Revisited: "Meat the Press"

With over 2200 entries here, it's difficult not to duplicate entry titles. Oh, sure, I could do it, but that would involve taking the time to use the search function and possibly slogging through entries with the words in the body in order to see if I've used the title before. And that's work, which, as you know, I'm allergic to.

But it turns out that the title of today's archive post was one I used twice (and now, three times, sort of). in my defense, it's a great pun: "Meat the Press"

.

This one's from not all that long ago—while I exclude anything in the last 12 months from these revisits, this was 15 months ago. I just pick them at random. As noted in that entry, I was participating in "Journalistic Intentions"

[18+], so I'll take the opportunity to plug that contest now. I think the next round will get going next month, and it can be fun to see where the prompts take you. In the case of my linked entry, the JI prompts were all about food; Turkey DrumStik

runs a different theme each time.

As for the entry itself, though, there's not a whole lot I need to add to it.

It's a good thing I'm tackling this now. Today and going into tomorrow, I'll need to be on a liquid diet. And not my usual liquid diet, either. So I expect to be mind-destroyingly hungry, which is never how I want to be when I'm reading or writing about food.

That intro might be confusing taken out of chronological context, so I'll explain: being the age I am, I occasionally get to have a camera shoved up my ass. As a former photographer, I'm used to people wanting to shove a camera up my ass; fortunately, in this case, it wasn't my camera, and I'd be unconscious for it. Point being, apparently, the procedure was scheduled for shortly after that entry, and I was about to start the necessary preparations for the procedure, which involve taking copious laxatives and not eating anything (or drinking beer).

For the record, not that anyone cares, but it turned out that I didn't get all that hungry during the prep, and I got a clean bill of health afterward. You'd never know it, though, the way I overuse semi-colons. (I see an opportunity for a pun and I take it.) I don't remember if I ever followed up to mention that, so I'm doing it now.

Still, it would have been annoying to write about food during a period of fasting.

And that's about all I have to elaborate upon, so read (or re-read) the entry if you want. Unfortunately, the video the prompt is based on is no longer available. It's not required viewing, though. As I recall, it was moderately interesting, although, naturally, not nearly as fascinating as my writing.

2 Like • Comment • View 2 comments

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