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Monday, Nov. 18, 2024

3:37pm EST

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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:

Wordsmitty ✍️

about 3 hours ago
In response to "Losing Weight Is Easy"

This brings up the old question of whether your weight changes when you inhale a helium balloon to make your voice higher.

Maybe this has to do with the difference of a mug of beer vs a tankard of ale.

The universe has so many weighty/massive questions.

2 Like

Brandiwyn🎶

about 4 hours ago
In response to "That's the Spirit"

Maybe you’d go with “Thunder” because that one’s so terrible that only divine intervention can explain its success. Wow. Missed opportunity, here. How could you let this go without a shoutout to mighty Thor, son of the Allfather, wielder of Mjolnir, He with the Long Forehead? (Said in the voice of the Soup Nazi): "No Valhalla for YOU!"

Brandiwyn🎶

about 4 hours ago
In response to "Losing Weight Is Easy"

Has anyone ever told you how annoyingly pedantic you are?

Damn your pedantic ways. I was hoping to justify a vacation to Venus (which I still argue would be a much better holiday destination than fr-fr-freezing Mars, Elon. Ugh.) Now I guess I'll have to settle for the Cancun plans we already made, since my mass (and waist diameter, and thigh diameter) will be exactly the same regardless.

2 Like

tj-turkey-jobble-jobble-hard-J

about 24 hours ago
In response to "Revisited: "A Frank Discussion""

I became disgruntled with meat sold in local grocery stores; half the weight is water, the taste is bland, and it's "use by" date is usually one day away. I found a small town butcher/locker plant that sells locally raised meats and buy in bulk so it's actually fresher, cheaper, and better tasting. Recently, I decided to try my hand at making our own sausage as well. It's a bit of work, but I think it's worth the trouble.

1 Like

Turkey DrumStik

Nov 16, 2024 at 9:24am
In response to "Barley There"

And approximately 15 seconds later, someone's going to screech about genetically engineered crops.

That would be me...screeching for more genetically engineered crops.

Write_Mikey_Write!

Nov 14, 2024 at 2:04pm
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

Nov 14, 2024 at 12:10pm
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

April 21, 2023 at 11:26am

#1048554

Boned

Oh good. If this prompt for "Journalistic Intentions"

[18+] hadn't come up at random, I might have had to write an extra entry.

boning

Ever boned a fish?

I haven't, because I don't fish, but I've seen people do it. And not on one of those websites, either. Seems like a lot of work, though as with anything, practice improves skill. Some fish just don't like to be boned, though, which can lead to oral discomfort or even penetration.

The word "deboning" in this context means the same thing, which is just one of those weird things about English, like flammable/inflammable or contronyms like "cleave."

But for this blogging activity, which is all about clothing, we're not talking about fish, or anything we do with our clothes (mostly) off. And for once, I don't have to do extensive research to know what it means.

Not fish, then. But whales, which live with fish but aren't them. Back before the inspired invention of the brassiere, for a while, corsets were all the rage. And back before plastics (see previous entry on nylon), corsets were stiffened by whale bones.

Which is oddly appropriate. See, "corset" comes from an old French word meaning "body." The modern version is "corps" (pronounced more like "core" just like with the Marine Corps, and not to be confused with "cœur," which translates to "heart" and is pronounced more like "curr," as in "no1curr") and from one of these we get the English "corpse." So you had people (it's associated with women's wear but for a long time all genders wore a kind of corset) wearing parts of whale corpses to support part of their own living bodies. An endoskeleton turned exoskeleton.

We (mostly) don't kill whales for fashion, or lighting, or meat, anymore. Instead, we use older corpses. Not of dinosaurs, per popular misconception and one oil company's brontosaurus logo, but ancient marine life. They're pumped out of wells, refined, and some of them get molded into plastic boning (yes, people still wear corsets; see any RenFaire).

Eventually, and not too far in the future, we'll run out of the corpses that took billions of years to accumulate.

And then, we're well and truly boned.

5 Like • Comment • View 4 comments

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