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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:

Annette

about 10 hours ago
In response to "Neutral Zone"

It made me happy that I was able to like it. I take the small victories.

1 Like

tj-Merry Mischief Maker

a day 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

a day ago
In response to "To Err Is Human"

Comments work.

"Like" button sends me this message:

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2 Like

Annette

a day ago
In response to "To Err Is Human"

Can I leave this comment?

Wordsmitty ✍️

Dec 19, 2024 at 9:03pm
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

Dec 19, 2024 at 3:43pm
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

Dec 19, 2024 at 8:53am
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

June 13, 2024 at 8:15am

#1072588

Curse-ive

Speaking of words, here's a list from Cracked:

11 Old-Timey Curse Words That Make You Sound Like Yosemite Sam
At the very least they might increase your ‘Scrabble’ score

Nowhere is the expression "words have power" more true than in the Land of Cuss. Cursington. Swearsburg. Naughtywordville. Whatever. But repetition makes almost any word lose its magic, until it becomes just another word.

That's why I think it's important to switch things up a bit, by making up new curses, or, as this article does, resurrecting old ones.

Even in my lifetime, the social acceptability of full-on sailor-mouth has become much more accepted.

My father would be offended by that description. He was a sailor, but rarely cussed. I guess he was trying to set a good example for me. Did it work? Shit, no.

I would have been hesitant to let loose a “damnit” around my parents in days of yore...

I once got upbraided by a Mennonite for saying "damn" in front of them. No, that's not how this works. How this works is: if you're around me, you put up with my curses. Because I do, in fact, give plenty of damns.

Now, like the headline says, there are 11 of these, and I can't be arsed to comment on all of them.

9 Gadzooks

You know a curse word has lost its power when it ends up as the name of a mall stalwart.

A what, now? Never heard of it.

A name that feels much grimmer once you realize that gadzooks is a bastardization of “God’s Hooks,” referring to the nails used to crucify Jesus.

You gotta wonder if that naming was on purpose.

If any mall store should have been called Gadzooks, it should have been Claire’s, given that they handled piercings.

There are two major classifications of naughty words: One celebrates and uplifts the most base subjects, like "shit" or the all-powerful F word. The other classification is blasphemous, like "goddammit" or "Christ on a crutch." This is why it's likely that the most perfect curse ever created is "holy fucking shit."

What's blasphemy to one religion, though, might be nothing to another. It's hard to blaspheme around me, for example, unless you try to tell me that my favorite beer is pisswater.

5 Rantallion

At first glance, you’d assume rantallion was a relative of “rapscallion,” but you’d be plum wrong. It’s a penis, but not just any penis: It’s a penis that's specifically shorter than the scrotum.

But what if you just happen to have low-hanging balls?

4 Quim

Quim is an antiquated synonym of a modern curse word, though it’s one that, at least in America, still gets you kicked out of a Panera Bread posthaste.

One of the most delightful things in any Marvel movie ever was when Loki got away with calling Natasha a "mewling quim" in a PG-13 movie. I mean, I knew what the word meant. Perhaps the MPAA did not.

1 Defenestrate

Okay, I'll admit, this isn’t a swear, but it is a delightfully antiquated word that everyone deserves to know.

Yeah, that's cheating. But it is a glorious word that deserves more popularity. As in, "The Mennonite threatened to defenestrate me for saying 'damn' in front of him."

3 Like • Comment • View 5 comments

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