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Saturday, Jun. 1, 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/

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:

Elisa the Bunny Stik

May 29, 2024 at 9:02am
In response to "Ordinary Average Guy"

I think we need to be careful about saying there's no difference in socializing between online and off. I saw the following in response to a comment about discussions of gender online and the stances taken by LGBTQ community members that are chronically online:

"Truth. I had to stop looking for queer spaces online because it was full of this and angry exclusion discourse. I found some queer spaces offline and it reminded me that most people are normal and chill."

This is a topic I will likely be visiting in my journal in July. I figured I'd at least get this response in here first as a warm-up.

1 Like

Elisa the Bunny Stik

May 28, 2024 at 1:46pm
In response to "Long in the Tooth"

I feel I was too busy as a teen to screw around in convenience stores. On the rare occasion I wasn't at school or working, I tended to hang out by myself. If I hung out with friends, it was usually at someone's house (rarely mine).

Elisa the Bunny Stik

May 27, 2024 at 11:42am
In response to "Olive It And More"

Every once in a while, someone will misread the order slip and give me green peppers, which are an abomination, instead of green olives.

They truly are an abomination. If you're going to put peppers on a pizza, make sure it's anything but those little soggy cardboard slice things. Hell, even poblanos would be a major upgrade.

1 Like

Elisa the Bunny Stik

May 27, 2024 at 11:38am
In response to "Coming Up the Pike"

Man, people on Fandom Secrets would be aghast at how much you like Strange New Worlds. Personally, I haven't seen much of it. However, I did watch an episode at the gym once and found it enjoyable. It gave me that fascinated feeling I had when watching The Next Generation as a kid.

1 Like

Elisa the Bunny Stik

May 27, 2024 at 11:13am
In response to "Burgundy"

I will admit that I'm not much of a wine drinker. I've had reds and whites but tend to prefer reds. Then again, when it comes to booze, I tend to prefer things that are more intense in flavor. White wines...tend not to be that way for me.

2 Like

Elisa the Bunny Stik

May 27, 2024 at 10:38am
In response to "Distrust the Process"

That being said, I do think that people going out of their way to demonize ultra-processed foods are causing just as many issues as lobbyists are. These folks' actions exacerbate eating disorders and nervous thinking around food insecurity in equal measure. I wish the conversation around this set of actions was louder.

3 Like

Elycia Lee ☮

May 27, 2024 at 10:31am
In response to "Distrust the Process"

To me, as long food is 100% natural, then it is healthy. Pretty much like fruits, veggies and rice. I know people have thoughts about whether rice is good or not, but it is natural food so... I shall go with that.

2 Like

Kåre Enga in Montana

May 25, 2024 at 3:13pm
In response to "Plan Solo"

I'm more introverted than extroverted, but my only apprehension involves language and cultural barriers.

I'm bi- or ambi- but... always annoying. I waver between wanting to be left alone and not wanting to be alone.

I make my adjustments as necessary.

But LANGUAGE and CULTURE: true barriers that can cause problems for some and angst for me. I love strangers but find it frustrating when I can't connect.

For Belgium: make those plans soon. Today's connectivity means booking lodging in advance. In the old days it was show-up-and-ask-if-they-have-a-room. Still possible but not recommended unless cost is not an issue.

I prefer staying in hostels but rarely join in 'events'. I have gone out with fellow travelers however.

Kåre Enga in Montana

May 25, 2024 at 2:58pm
In response to "Banned Camp"

I remember when the movie "Brokeback Mountain" received "F"s from folks who basically commented that they would never NEVER watch such filth. Even those who liked or enjoyed it missed the main theme of poverty (financial, cultural, individual...). Personally, I preferred the short story to the movie. Both made a point that America didn't/doesn't want to face: choice and lack of choice.

That said, if someone were to ban my poetry I could probably live off of the notoriety.

Burning at the stake though seems a more likely outcome.

2 Like

🌕 HuntersMoon

May 25, 2024 at 11:32am
In response to "Banned Camp"

"Any book worth banning is a book worth reading." Isaac Asimov

2 Like

May 1, 2019 at 12:23am

#957959

Mayday

Hooray, hooray, the first of May!
Outdoor fucking begins today!

It's a new month, so it's a good time for me to get back to daily blogging. Maybe. (Pun intended, as always.) I'm participating once again in "30-Day Blogging Challenge ON HIATUS"

[13+]

Crazy as it may sound, we are now officially 1/3 of the way through 2019. Write about some of your goals and plans for the remainder of the year. What are you looking forward to?

I'm wary of making goals. Or plans. When I inevitably don't fulfill them, I get even more wary next time.

I'll tell you what I'm looking forward to, though: warm weather. I'm pretty sure we'll get some of that. While my area was spared the recent unpleasantness that happened in some of the middle states, I got tired of the cold weather damn quickly.

In previous entries, I've outlined my dislike of the cold. "So, Waltz, why not just move?" Well, true, I could, but apart from a few months out of the year, I rather like it here in Virginia. I've been all over the country (except for Nebraska, Alaska and Michigan, none of which are in the top 40 candidates for states to move to anyway), and while I enjoy certain places, I'm happy to merely visit. Too much traffic most places, except for where there's nothing around, in which case there's nothing around. Here, there are nearby purveyors of fine alcoholic beverages, and I don't have to sit in traffic (or, more precisely, sit in a rideshare vehicle which is sitting in traffic) to get to them.

But that's not the question, is it? To misquote an entirely too popular catchphrase, summer is coming. And, for the most part, I intend to sit here on my deck and enjoy the utter lack of snow. Assuming, of course, we don't get a volcano, nuclear war, or meteor strike that blots out the sun.

Patient and sharp readers will have noticed an inconsistency here. I rant about cold weather, and then I rant about the accursed daystar. Well, I'm not required to be consistent. Self-contradiction only makes me more interesting, right? "I am large; I contain multitudes."

This is easily resolved, though: I only go outside to sit on the deck, which has a patio umbrella. I am within two feet of the door to my house at all times, and if the blasted fusion sphere starts to annoy me, I can go inside where it's properly air-conditioned.

Still, getting back to plans, I'm hoping to do a bit more traveling this year. Maybe go to Vegas in August or September. Almost certainly visit California in December, if it's still there. Apart from that? Stay warm for as long as I can, until the cycle turns again.

And write. Against all odds and expectations, I've been steadily participating in "I Write in 2019"

[E]. Just 8 more months of that to go...

8 Like • Comment • View 7 comments

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