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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 25, 2018 at 1:13am

#941992

I'm okay with this

When the British occupied India, many things caught them unprepared. To name but a few: the heat; Indians; lack of beer; and malaria.

But the Brits are nothing if not inventive, so they figured out ways to deal with most of these issues. For example, malaria, which is a disease spread by mosquitoes: they realized that quinine makes an effective anti-malarial treatment. Quinine is the active ingredient in tonic water (that is, the "tonic" part), but the problem was that tonic water tastes remarkably like ass.

So in order to make it more palatable, they invented the gin and tonic. Leave it to the Brits to add gin to something to make it taste better.

Remarkably, the invention of the gin and tonic represents the one and only positive thing to result from mosquitoes. Since that has already been developed, though, it's not going away.

Neither are mosquitoes.

Or... are they?

https://www.bbc.com/news/science-environment-45628905

Gene editing wipes out mosquitoes in the lab

Researchers have used gene editing to completely eliminate populations of mosquitoes in the lab.

The team tested their technique on the mosquito Anopheles gambiae, which transmits malaria.

They altered part of a gene called doublesex, which determines whether an individual mosquito develops as a male or as a female.

This allowed the Imperial College London scientists to block reproduction in the female mosquitoes.

Now, normally, I'm against genocide. It's rude. But for mosquitoes, I'll make an exception.

And yeah, I know, the risks, unintended consequences, etc. I've been reading science fiction most of my life, so I know that there might be some downsides. Take out a species, and we can't always predict what follows. Still, I'm pretty sure the ecosystem would adjust, eventually, to having no bloodsucking pests around. Well, other than politicians, anyway - still no way to eliminate them entirely.

Or maybe something more catastrophic could occur. According to the gospel of science fiction, maybe the gene editing will take on a life of its own, eventually spreading to humanity. But you know what? We're all going to die eventually, anyway, and I promise you that the last words of the last human on earth will be "At... least... there... are... no... more... mosquitoes... croak."

Worth it.

In fact, about the only downside I can see would be if the cure gets out of control chaotically, attracting more dark matter to Earth, increasing its gravity such that it spirals into the sun. Millions of years later, flaming fusion cockroaches swarm from the solar orb and take over the galaxy.

But hey, at least there won't be mosquitoes.

3 Like • Comment • View 1 comment

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