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Tuesday, Dec. 31, 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

a day ago
In response to "Revisited: "None More Black""

Favorite color? Growing up it was deep red, but having a little brother, his favorite color also had to be red, so I decided to pick blue. His also turned blue, so I decided not to have a favorite, but to like all colors. But, what do you get if you mix together all the colors? Black.

Waltz Invictus

a day ago
In response to "Revisited: "None More Black""

🌖 HuntersMoon

: See also my many polemics on the fruit status of tomatoes.

1 Like

🌖 HuntersMoon

a day ago
In response to "Revisited: "None More Black""

Knowing your penchant for "scientific" foundations for answers, black is not a color.

Black's status as a color varies depending on the perspective:

Scientific perspective: Black is not a color; it is the absence or complete absorption of visible light, making it an achromatic shade.
Artistic perspective: In art and design, black is treated as a color because it can be created by combining pigments and provides contrast.
Human perception: Black evokes feelings similar to other colors and is often associated with darkness, power, and elegance.

2 Like

tj-Merry Mischief Maker

Dec 28, 2024 at 3:23pm
In response to "Extro Special"

I'll also use the spelling extrovert because if I use extravert my spell checker flags it. In college psychology our professor termed his own words, innervert and outervert because he thought they fit better. I, however, thought they sounded like definitions of belly buttons.

1 Like

Kåre เลียม Enga

Dec 28, 2024 at 9:11am
In response to "Extro Special"

I probably fit omnivert best. I'm temperamental.

Words change... definitions change... we change.

1 Like

tj-Merry Mischief Maker

Dec 27, 2024 at 3:41pm
In response to "Sensational"

They say carrots can improve your eye sight, but it's been proven that drinking alcoholic beverages can make you see double.

After stating this, I find myself wondering why hasn't anyone tried fermenting and distilling carrots and marketing it as a vision tonic?

2 Like

🌖 HuntersMoon

Dec 27, 2024 at 10:33am
In response to "Sensational"

OK, look around you and observe (where possible) the reality of the newly revealed "facts." It's pretty clear that "Smartphones make you a hell of a lot of folks stupid."

2 Like

Elisa: Snowman Stik

Dec 27, 2024 at 8:43am
In response to "Sensational"

Thank you for reminding me to check on Retraction Watch.

https://retractionwatch.com/

3 Like

tj-Merry Mischief Maker

Dec 26, 2024 at 4:20pm
In response to "Gray Matters"

I wonder how many nine year old people have gray hair? I also wonder how much stress most nine year olds have?

3 Like

Wordsmitty ✍️

Dec 26, 2024 at 1:07pm
In response to "Gray Matters"

"who were between age nine and 39," - so the old folks need the rejuvenation formula first to turn back the years.

I wonder if anyone has studied why hair goes gray in certain places and not everywhere. Maybe different kinds of stress?

3 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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