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Wednesday, Nov. 6, 2024

2:32pm EST

Members: 925

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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:

Turkey DrumStik

about 4 hours ago
In response to "Lo!"

Not gonna lie I need the holiday season chatter.

Aiva Raine

about 23 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 24 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

a day 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 ✍️

Nov 4, 2024 at 12:22pm
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

June 2, 2022 at 12:01am

#1033199

Don't Do It

Here's my first entry for June's "Journalistic Intentions"

[18+], with a theme of tropes.

Ripped from the Headlines

For anyone too lazy to click on the link (as I usually am), to summarize: this is when a show or movie or whatever is based on current events. It's not usually a true story, but if, like, there's a story about some priest sexually abusing an altar boy, the movie will be about a different priest sexually abusing a different altar boy.

Not that anyone has the balls to actually make such a show.

I don't care about such shows. By which I mean, I don't give a shit if something is based on something out of real life, or entirely made up. Well. It's not like you can entirely make something up, or entirely be accurate to the details of a real event. Even the most outlandish science fiction or fantasy at least adheres to some anchor in reality, even if it's only to consider what one would do in a weird situation.

But there is one instance of this trope that I absolutely will not watch or read, and that is a COVID story.

Fortunately, I haven't seen anything like that yet. That doesn't mean it's not out there. It probably is. It's not like I'm aware of everything that gets released. But if I become aware of it, I'll wish I hadn't.

I don't want to see a movie based on the masking argument. I don't want to read a book centered around the vaccination argument. I really don't want to see anything titled "Love in the time of Coronavirus" or anything similar to that.

And above all, I will puke my fucking guts out if I even hear the merest whisper of a romance that involves two (or more; I'm cool like that) people managing to find a way to hook up in spite of social distancing and mask mandates.

No. I want my entertainment to, ideally, forget that the 'rona is or was ever a thing. I want my fiction to go on like nothing ever happened, like millions of people didn't die from it.

Just don't do it.

Failing that, at least don't make it central to the plot.

Pretty much any other current event is fair game: climate change, civil unrest, school shootings, war in Europe, terrorist incidents, whatever. I'm just not going to put up with covfefe-19 plots. Period. The only masks I want to see in movies or on TV are the ones worn by superheroes and the villains that oppose them.

And why? I know I should be able to, as a writer, articulate exactly why this is. The block, I think, isn't about writing, but more emotional -- a visceral reaction to overusing something that's occupied our brains enough for the past 28 months or so. Note that I'm not saying we should pretend, collectively, that it's not happening or didn't ever happen. Just that I don't want it encroaching into my fiction.

Other than that? Rip the hell out of the headlines. Truth can be stranger than fiction and all that. Just stay away from a certain virus.

You know. Avoid it like the plague.

6 Like • Comment • View 6 comments

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