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Sunday, Nov. 17, 2024

11:12am 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:

Turkey DrumStik

a day ago
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

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

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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