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Sunday, Dec. 22, 2024

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Complex Numbers

by Waltz Invictus

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:

Annette

about 23 hours ago
In response to "Neutral Zone"

It made me happy that I was able to like it. I take the small victories.

1 Like

tj-Merry Mischief Maker

a day ago
In response to "To Err Is Human"

Right from the beginning I find myself asking, "How many times can anything go extinct?" On a side note, the other day while shopping I saw a neanderthal in the produce section. He was trying to fit in with modern clothes, but it was pretty obvious he was a neanderthal.

1 Like

Annette

a day ago
In response to "To Err Is Human"

Comments work.

"Like" button sends me this message:

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This is a private area. Access has been restricted and you may not view it under its current settings. If you feel you should have access, please contact the area's owner and request access.

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2 Like

Annette

a day ago
In response to "To Err Is Human"

Can I leave this comment?

Wordsmitty ✍️

Dec 19, 2024 at 9:03pm
In response to "Five Seconds"

Way, way back when I was little, it was a three second rule that I remember. Sometime since it was upped to five seconds because of all the chemical preservatives that are pumped into everything now.

1 Like

tj-Merry Mischief Maker

Dec 19, 2024 at 3:43pm
In response to "Five Seconds"

I also ate carrots right out of the garden growing up, I also picked and ate fruits and berries growing in the wild without washing. I do remember food dropped on the floor was either rinsed off and then eaten, or if it was something not easily rinsed, like buttered toast buttered side down, we gave it to the dog.

In our house, there's not a five second rule; unless it's something dogs can't eat, it's whichever one gets it first.

2 Like

🌖 HuntersMoon

Dec 19, 2024 at 8:53am
In response to "Five Seconds"

2 Like

Aiva Raine

Dec 17, 2024 at 7:39pm
In response to "Need for Speed"

Even with the actual explanation- it still left me going- sooooo what's the difference between the special expensive "speed tape" they use for "temporary fixes" and duct tape? LOL- sure sounds like duct tape to me and they are using it for exactly the same reasons you would use duct tape. I'm guessing that the only difference between it and duct tape is the "speed tape" is slightly stronger and handles temperature differences better. It still comes down holding the plane together with tape which doesn't exactly fill me with confidence. Especially if it's a Boeing plane.

1 Like

tj-Merry Mischief Maker

Dec 17, 2024 at 6:14pm
In response to "Need for Speed"

I suppose they call it speed tape to keep people calm. If they called it what it is, temporary repair tape, they may lose passengers.

2 Like

Waltz Invictus

Dec 17, 2024 at 9:43am
In response to "Need for Speed"

Ichabod Crane-- Mince Pie

, I've heard that speed tape is extremely expensive. I can only assume the maintenance guys at Delta got a five-finger discount. But if you're going to steal from work, might as well go big and not just lift a box of paper clips.

1 Like

September 1, 2024 at 8:25am

#1076001

Four and Twenty

"Blog Week Birthday Bastion 2024"

[13+] by WakeUpAndLive~"HoHoHo"

Prompt 1. Sept 1.
It's the site's 24th Anniversary. Tell us about your love or fondness of Writing.com. What makes this a wonderful place for writers? Why are you (still) here?

My own site milestone is coming up: as of next Wednesday, I'll have been a member here for 20 years.

The funny thing is, I still consider myself a later transplant to the jungle here. When I joined, I met writers who had been around for as long as four years, and they had their communities, their cliques, their ways of doing things. And yet, they welcomed the newbie (me). Some of them are still around, and remain good friends. Some of them are not, and I miss them.

Objectively, I know that for a newbie today, there's not a lot of difference between a 20 and 24 year tenure here. And I admit, I'm not very good at paying that long-ago welcome forward; I never do know what to say to, or do for, a new member struggling to figure out the site or learn the ins and outs of WritingML, unless they ask me directly. To be fair to myself, when they do ask me directly (or in the Tech Support forum), I do my best to answer their questions.

It just occurred to me that my current daily blogging streak is longer than the time between the site's launch and the day I joined. Perhaps that's enough to change my perspective.

And I guess I've become a blogger. I mean, anyone can be a blogger, but I think this site focuses on fiction writing and poetry. I've done plenty of that, and I generally enjoy reading it, but this seems like this is the niche I've slotted myself into. Not what I'd planned, but I'll run with it.

The real treasure, as the cliché goes, is the friends we make along the way. I've met more people here than I can count, and I can count pretty high, what with being comfortable with exponential notation and all. And I've met many of them in person. I stood up for one at his wedding. I've helped with another member's business plan. I've gone on road trips with some. I've traveled throughout the US, and even to other countries, to meet up with WDC authors. And I'm willing to continue to do that.

Sometimes, the only thing I have in common with the people I've met is a love of reading and writing.

Sometimes, that's enough.

We get to give out a free Merit Badge every day this week. Want one? Anyone who comments here before 11:30 pm WDC time today could get today's (I'll need that extra half-hour to pick a winner and send the badge before midnight.)

To clarify:

When I say "comment," I mean comment. Not review. Though reviews are always welcome.

I also mean "here," not on the newsfeed post.

MB recipient will be chosen at random.

Maximum of one MB per commenter for the week.

If I don't get comments, I'll pick a previous commenter, and maybe not at random.

The MB will be the one I commissioned two years ago, "Complexity," which is a publicly available MB.

I appreciate all comments; this is just a little incentive.

4 Like • Comment • View 11 comments

© Copyright 2024 Waltz Invictus (UN: cathartes02 at Writing.Com). All rights reserved.
Waltz Invictus has granted Writing.Com, its affiliates and its syndicates non-exclusive rights to display this work.

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