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Saturday, Nov. 16, 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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10 Most Recent Blog Comments:

Write_Mikey_Write!

a day ago
In response to "Global Domination"

A little girl wearing a Hello Kitty shirt in Middle-of-Nowhere, Siberia will certainly make you wonder how it got there. My grandson has a souvenir t-shirt with a Terex 33-19 "Titan" on it. When it was built in 1973, the Titan was the largest, highest payload capacity truck ever built, a title it held for 25 years. The thing is, the truck on that t-shirt is on display in Sparwood, BC, Canada - over 1000 miles from here, and his mom got the shirt at a local thrift store. Makes me wonder.

Oh, yeah - I thought 'Schrödinger's Hello Kitty' was funny, too.

1 Like

Adherennium Plotting something

a day ago
In response to "Global Domination"

For whatever warped reason, 'Schrödinger's Hello Kitty' has tickled my funny bone.

3 Like

Brandiwyn🎶

Nov 12, 2024 at 10:50am
In response to "Blond Man's Bluff"

That's interesting about the two spellings of blonde. I always thought blonde referred to the person and blond referred to the hair. But I never bothered to look it up, So you've catered to my lazy today.

3 Like

Kåre เลียม Enga

Nov 9, 2024 at 1:02pm
In response to "It Was a Dark and Starry Night"

Ah... but why did he see those swirls when many of us don't? A totally different discussion... out of thin air... which is a frozen fog today when I gaze out the window.

Humans have great skills of observation; some of us extraordinary skills. Is The Scream depictive or evocative? 😱

Turkey DrumStik

Nov 9, 2024 at 11:04am
In response to "It Was a Dark and Starry Night"

Frankly, I'm more surprised to see reasonably good reporting from CNN. I'd given up on their ability to rein in their tendency toward loaded speech.

2 Like

JayNaNoOhNo

Nov 8, 2024 at 12:00pm
In response to "Bungalow Bash"

For the love of God, what did I just read? That is by far the worst use case of a bungalow I've ever seen, and a fundamental misunderstanding of the value of front porches—and the size of bungalows.

Was this his point? Nope, I know what his point was. For a guy so worried about presentation, he certainly undercut his own arguement.

1 Like

Turkey DrumStik

Nov 8, 2024 at 9:47am
In response to "Bungalow Bash"

"People don't change their minds on the internet. They usually do that in books, battlefields, or not at all.

Yeah, that's a little bleak."

Bleak and also inaccurate.

1 Like

Kåre เลียม Enga

Nov 7, 2024 at 10:19pm
In response to "Past and Future Intents"

I must live in the present. In the past I daydreamed a lot... probably to escape the bruises of reality; however, I need to be more aware crossing streets or even how I get out of bed (no rapid movements without thinking of consequences).

I can envision a future more peaceful than the present because this time-and-place isn't the only "present" that's ever existed, and I do try to see the larger view (emphasis on 'try').

1 Like

Lilli 🧿 ☕

Nov 7, 2024 at 10:58am
In response to "Past and Future Intents"

If the aforementioned exercises don't help; there's still liquor.

3 Like

Turkey DrumStik

Nov 6, 2024 at 10:22am
In response to "Lo!"

Not gonna lie I need the holiday season chatter.

November 16, 2021 at 12:04am

#1021729

Thought for Food

Hey, it's one of my favorite subjects, too! What a coincidence!

PROMPT November 16^th

This one will cover one of my favorite subjects, Food.
Do you follow a certain regimen/diet when it comes to eating?
Other than something you might be allergic to, are there any foods you avoid or limit yourself to? What's your favorite meal to prepare. Share your recipe if you like. (I have a 'killer' chocolate recipe!)

Tonight, I made my beer chili again. Normally I use ground beef, but there was some ground pork in the fridge for whatever reason, so I blended the two in an unholy blasphemous union, and it worked.

The chili is something I like to do when it starts getting colder. I'll get tired of it after a while and put the recipe away until next fall. I don't accept the existence of "comfort food," but there are certainly things I like for certain times of year or moods.

Do you follow a certain regimen/diet when it comes to eating?

Yep, a seafood diet. When I see food, I eat it.

I followed what you might call a diet or eating regimen for two years. I lost over a hundred pounds. Then I reached a point of diminishing returns. Then it got to where I was eating 1200-1300 calories a day and not drinking, and I was still gaining weight. So I said fuck that, if I'm going to become a cliché and regain the weight anyway, I might as well enjoy what I'm eating. Hence the return of my cooking.

Other than something you might be allergic to, are there any foods you avoid or limit yourself to?

For a long time, I wasn't allergic to any food or medicine. I mean, nothing. I'd go to the hospital and they'd ask me again and again, and each time I said "nothing," they had a look of shock and disbelief on their faces, just like when I said I have no more than one alcoholic beverage a day (which at the time was true). I was pretty proud of my lack of allergies, too. Everyone else has an allergy, mostly so they can be unique, and I didn't, which made me actually unique. It's a superpower!

Until a couple of years ago when I ate a protein bar with an obscure spice from India called moringa, and my skin turned red in patches and my lips puffed up and my tongue blew up and everything went numb and my heart started racing and my vision faded and I could feel my blood pressure plummet as I collapsed.

I survived. Obviously. But I had discovered my Kryptonite. Fortunately, it lives on almost the exact opposite side of the planet from me. Except when they put it in goddamn energy bars.

Anyway. Apart from that, I only have one hard and fast rule: I never eat anything smarter than I am. Why? Because anything smarter than I am would find a way to take revenge. We know that corvids will remember a wrong done unto them

and exact a hundredfold vengeance upon the perpetrator. How much worse, then, for the genius eldritch horrors of the deep such as squids and octopodes? Granted, they might have a problem tracking me down on land, but as soon as I get into the water, Boom! Hentai city.

I do make an exception for pigs, though, because they're just so damn tasty.

So I guess it's not that hard and fast a rule.

What's your favorite meal to prepare. Share your recipe if you like.

The great thing about being single is I can cook whatever I want, without worrying about picky eaters not liking my mushrooms or complaining about the ghost pepper.

The crappy thing about being single is that either I cook something that keeps, like the chili, or a lot of food gets wasted, because there are no recipes for single-serving things. And even if there were, shit's not sold in single-person portions at the supermarket. Anyway, what would be the point? I'm not trying to impress anyone. So here's the recipe for my favorite meal:

1) Pull box from freezer
2) Partially unwrap and shove into microwave.
3) Nuke and eat.

Okay, it's not my favorite recipe, unless by "favorite" you mean what I do most often.

And yes, I exaggerate. I don't actually do a lot of microwave meals. I admit to a fondness for Marie Callender's pot pies, but those flat-out suck if you nuke them; I (uncharacteristically) take the time to bake them in the oven.

Fortunately, I ate before writing this so it didn't make me hungry. Might have some of that chocolate, though.

8 Like • Comment • View 7 comments

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