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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

about 15 hours ago
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

a day ago
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

a day ago
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

a day ago
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

a day ago
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 ☮

a day ago
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

Aiva Raine

May 21, 2024 at 11:34pm
In response to "More Science"

Giggles. Thank you for the laugh- especially this phrase, "I always picture Doc Brown's workshop in Back to the Future. Yes, of course I know it's wrong, but I'd rather be amused than right."

1 Like

September 22, 2018 at 2:30am

#941825

Beer Hunter: The Quest for Fest

It's Oktoberfest season.

Yes, I know it's not October yet. Don't blame me. Blame the Germans - they're the ones that start Oktoberfest in September.

Every year, I look forward to this time because that is when all the Oktoberfest beer comes out. It's kind of the man version of pumpkin spice latte everything (though I'm sure someone, somewhere, has come up with a pumpkin spice latte beer). It's not my all-time favorite style, but since it's seasonal, I like to drink it when it's around. That pic of me in my bio? That's an Oktoberfest, from a visit to New York City a couple of years ago.

But.

I went to my favorite (read: closest and within stumbling distance) bar the other day, and the only fest they had was Sam Adams. Now, I'm not going to rag on Sam Adams - they've done a lot to promote craft beer in general, though they're big and corporate and their beer tends to be inoffensive and therefore uninteresting.

We live in a golden age of beer, with over 6000 breweries in the US alone at the moment. Just about any style you can think of, and more, is represented somewhere in the world of craft beer. Moreover, in my local area, there's probably about a dozen breweries. So there's plenty of diversity in beer selection around here. And yet, the only fest this taphouse could come up with was Sam?

Okay, so there's Alamo, the drafthouse/movie theater I mentioned a few entries ago. I got to the Wonka party early so I could have a couple of beers. I was hoping for an Oktoberfest. But no - I mean, they have a good selection, but dammit, it's nearly the end of September so where's my fest?

So I spent my time drinking a nice stout and trying to use my phone to find out who around me has the holiday spirit.

There's a BJ's in town now, and I looked at their menu and behold! An Oktoberfest. The accompanying text said, "lagered for up to three months." Okay, well, I like beer but I'm not an expert - I thought fests were supposed to lager for six months. Whatever. Their beer is okay for a chain, so perhaps I'll pay them a visit soon.

But really, it shouldn't be this hard to find an Oktoberfest lager in September in a place with that many breweries around. Maybe if the taphouses weren't so fast to jump on board the whole "sour beer" fad, there would be more room for seasonal offerings. And yes, for the uninitiated, sour beers are actually a thing. I don't like them. I prefer my beer to taste different going down than it does coming back up.

1 Like • Comment • View 3 comments

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