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Thursday, Apr. 18, 2024

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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/

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Signature for those who have won a Quill Award at the 2020 Quill Awards

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Wordsmitty ✍️

about 6 hours ago
In response to "Down Under"

Water? What about where their sewage waste goes?

1 Like

Elycia Lee ☮

a day ago
In response to "What's the Difference Between a Duck?"

So happy that there is an answer to that Alice in the Wonderland riddle.

Finally. Fascinating stuff. All of them. There is something rather philosophical about comedy. You are certainly right there.

Elisa the Bunny Stik

Apr 15, 2024 at 8:35am
In response to "That's Cole"

"I don't know what the latest fad food is, but I can almost guarantee that behind the fad is someone with money trying to make more of it."

I'd say there are multiple fad foods, including goji berries. That said, cauliflower became trendy in 2018 and has maintained some level of staying power. I still see cauliflower rice as an option in many places across the US.

4 Like

Elisa the Bunny Stik

Apr 13, 2024 at 6:10am
In response to "Mawwiage..."

"Or, at the very least, it's an emotional bond more than a business arrangement."

And for a substantial subset of parents, it's neither. They either just want kids to show off like trophies or dive headfirst into various forms of abuse.

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Aennaytte: Free & Wild in GoT

Apr 12, 2024 at 12:39pm
In response to "Coincidences"

Some words even cross species.

My golden cat calls me Mom frequently.

1 Like

tj ~ endeavors to persevere!

Apr 11, 2024 at 1:58pm
In response to "A Cinderella Story"

Do you mean something like Carl having to work in the garage for his wicked step-dad while his brothers party? He was polishing an old hubcap that was magical and the next thing he meets a rich cougar at the club but has to leave by midnight when the spell wears off. As he exits he looses a boot. The cougar takes the boot with her and ends up having car problems the following day and stops at the garage where she notices Carl sweeping the floor with only one boot. She hands him the boot, it fits, and they are last seen sailing off on her yacht.

1 Like

tj ~ endeavors to persevere!

Apr 11, 2024 at 1:48pm
In response to "Things Go Better With Cahokia"

I bet they left because there wasn't anymore deer to barbecue.

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Robert Waltz

Apr 10, 2024 at 11:05am
In response to "Dark Side of the Moon"

⭐️Jellyfish⭐️

: Also known as a swag bag, but I usually prefer alliteration to rhyme (and also, since I pretend to be a writer, I like coming up with my own terms). No idea what you call them on that side of the pond. It's not technically "bling" because there wasn't any personal decoration, but it had things like certified sun-gazer glasses, a copy of their special eclipse bottle label art, a winery-logo corkscrew, and some delicious truffles (the chocolate kind, not the mushroom kind). Kind of like a Christmas stocking, but in April and for wine and astronomy nerds.

⭐️Jellyfish⭐️

Apr 10, 2024 at 8:18am
In response to "Dark Side of the Moon"

Wine, an Eclipse, and Pink Floyd Playing - Literally sounds like a Perfect Day!

And A Bling Bag! (Although not sure what this is, I am thinking a bag full of sparkly jewellery which it probably isn't)

1 Like

Kåre Enga in Udon Thani

Apr 10, 2024 at 1:34am
In response to "Dark Side of the Moon"

It's nice you took time out from you routine life and routine blogs. Mind you, routine has some appeal.

I saw the eclipse in 2017 in Montana. I'll probably not see another. Do I care? Well... if I happen to be near one... sure. I missed the lunar eclipse last year in Thailand and I wasn't happy... but I saw one in Venice (even saw Mars).

I agree that a sports venue has an ambience that one loses at an impersonal distance. I was in Allen Fieldhouse when Kansas won the national basketball championship in 2007. Not the same as being at the game, but close. 10,000 fans created some ambience. And the town afterwards? Incredible!

Video is visual/audio at best. But what is the smell, the touch of a breeze, a hot dog or the taste of wine on the lips? Also... one only sees/hears what others see/hear. I want to have my own experience.

Songkran is soon, in three days. I dread it in some ways, but it may be a break from the ennui of hot at night and worse by day.

1 Like

September 29, 2019 at 12:02am

#966942

Doors

PROMPT September 29th

One more prompt from tah20!

Name an inside and an outside activity that you enjoy and share in detail what these activities look like.

An... outside activity... that I enjoy?

Does not compute...

I am of the considered opinion that if we humans were meant to be outside, we wouldn't need to slather ourselves with sunscreen and/or cover ourselves with bug spray. Nor would we have to wear special clothes for anything outside the 70-80 degree Fahrenheit range. Our ancestors developed big brains and opposable thumbs for a reason, and that reason is so we could build houses and keep them relatively bug-free and temperature-controlled.

Now, don't get me wrong. I've done outdoor activities, and some of them were actually pretty cool. I've been snorkeling (sunburn on my back), hiking (ticks and shin splints), stargazing (nights that are clear enough to see stars are bloody cold), and even camping (lousy sleep, stiff muscles, headaches). The negative effects of all of these activities far outweigh the positive ones. And don't even get me started on all the stinging, biting, or otherwise annoying critters that lurk in wait for the unsuspecting Waltz.

Okay, I guess "driving," which I do enjoy, is kind of an outdoor activity? No, not really; the car has a heater and an air conditioner. Mine even has seat warmers for when it's below 65.

And as much as the heat annoys me with its sweat and the accursed radiation of the damned daystar, there's one thing worse for me than heat: cold. If I hear "I like being cold because you can always put on more clothes, but when it's hot you can only take off so much," I swear I'm going to punch something. Wearing less clothing in the heat is contraindicated. You want to wear loose clothing to promote air flow.

But I can name one - just one - outdoor activity that I actually enjoy: walking into a building.

What does that look like? It's pretty simple: starting from the dreaded position outside the building, I quicken my steps and smile in the anticipation of the relief that awaits me in the interior.

As for indoor activities, I'm going to stringently avoid the obvious answer to that (not that I've done any of it recently) and go with drinking. Okay, that can be an outdoor activity too, but as with everything else, it's much better inside. I could also say video games. Yeah, given that I play video games a lot more than I drink, I'll say video games. I hope I don't need to tell you what that looks like: me cursing at the computer while my character goes around slaying monsters. Yes, "computer." Consoles suck.

Oddly, I don't like to mix these two activities, for the same reason that drunk driving is a Bad Idea: reaction times are impaired, and I don't have as much fun. If I'm drunk, I'll just watch crappy shows on Netflix.

That said, I have to admit that I do spend most of my waking hours outdoors if the weather's nice - but by "outdoors" I mean on my deck, laptop in front of me, three feet from my back door so I can go inside if I'm swarmed by hornets or some shit. That's because I enjoy a good cigar, but hate stinking up the house with it. After all, that's where I'm most comfortable.

2 Like • Comment • View 3 comments

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