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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 15 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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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

June 26, 2024 at 10:04am

#1073197

The Oz Hypothesis

Couple of things to warn everyone about concerning today's link. First, and most importantly, it's from Metro (a UK tabloid), so it's not exactly reputable. Second, though most relevant, the page contains images that you probably don't want your boss or coworkers to see you looking at (in other words, NSFW). These include poorly-rendered nude sketches. It is not, however, pornographic.

In short, view at your own risk.

Disclaimers out of the way, here it is:

Secret medieval manuscript could actually be a very old sex guide

Yes, they mean the Voynich Manuscript.

Which I'll call the VM from now on because I'm lazy.

The Voynich manuscript has fascinated both scientists and the public for more than a century since it was rediscovered by a rare books dealer in 1912.

Many "rediscovered" books turn out to be more modern hoaxes. If the VM is a hoax, it's a very, very good one. So good that it's still worth figuring out the purpose of it.

Now however, two historians from Macquarie University in Sydney, Australia, think they may have found the meaning behind it – sex.

Lots of people have made guesses, educated and otherwise, about what it's for. These range from aliens having a laugh at our expense to, well, this, which I'll call the Oz Hypothesis.

Claiming it's about sex is a sure way to get people to notice, much as my cat refuses to pay attention to me until I say, "Treat!"

But while we don’t know who the first owner was, it’s fair to say they lived during a rather prudish time.

...says the article, immediately following the sentence with two illustrations from the VM featuring nekked wimmin.

Writing for The Conversation, study co-author Dr Keagan Brewer said: ‘One section contains illustrations of naked women holding objects adjacent to, or oriented towards, their genitalia. These wouldn’t belong in a solely herbal or astronomical manuscript. To make sense of these images, we investigated the culture of late-medieval gynaecology and sexology – which physicians at the time often referred to as “women’s secrets”.’

I probably would have been better off just linking that Conversation article, but then I wouldn't have had the opportunity to snark on the hilarious juxtaposition of "lived during a rather prudish time" and illustrations of women apparently bathing.

This suggests to avoid censorship, the author used a mix of the cipher and illustrations to share their message.

The problem with the Oz Hypothesis is that ciphers only work for communication when they can be, well, deciphered. The VM has been analyzed more thoroughly than a postmodern stream-of-consciousness novel, by some of the most accomplished cryptographers in the world, and no one has been able to crack the code.

This is also a problem for pretty much every other guess about the VM, with the possible exception of "space aliens playing a hoax."

Anyway, the article touches on some of the evidence for the Oz Hypothesis. Which, to me, is no more or less compelling as evidence than several other hypotheses (well, more compelling than "aliens," maybe).

But the sex angle is practically guaranteed to generate clicks.

2 Like • Comment • View 1 comment

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