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Thursday, May. 9, 2024

1:48pm EDT

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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

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10 Most Recent Blog Comments:

Wordsmitty ✍️

34 minutes ago
In response to "Super Stew?"

But . . .

What's the difference between one being in the soup or in a stew? Is one thinner or thicker? How do writers use soup and stew?

1 Like

Elisa the Bunny Stik

about 4 hours ago
In response to "Super Stew?"

"Served in a pot? Maybe in your country."

Honestly, in the US I'd think soup would be served in a pot due to the quantity that ends up being consumed.

1 Like

Lazy Writer est 4/24/2008

about 23 hours ago
In response to "Be Positive"

Mine always tell me to eat more fruits and veggies.

Annette

a day ago
In response to "Be Positive"

Asking doctors for advice has its own pitfalls. Because there is no money in recommending a sensible nutrition pattern, they will say things like: Look it up online.

2 Like

🌕 HuntersMoon

May 5, 2024 at 8:50am
In response to "Revisited: "Fail""

Shame on you for making fun of the Hoggs. Being a Virginian, Bob, you should know the reverence that the name Hog inspires recalling the glory days of the Washington Redskins (now the Commanders). The Hogs

1 Like

Charity Marie - <3

May 4, 2024 at 5:42pm
In response to "Overdraft Dodgers"

I have four different accounts and each one has a purpose. Savings, personal debit card, auto draft debit card, and a b8lls account. The bills account is the only one that can overdraft as it's for manual big bills like rent, cell, electric, etc. Stuff that mist be paid. The rest are blocked from overdraft and the savings account has no debit card attached. My bank accounts have been hacked too many times so I keep it this way to protect myself. It is very rare I ever pay an overdraft. I have a money market account for money greater than $10K so it gains interest and isn't touched except emergencies. That is a secure account too.

1 Like

Kåre Enga in Montana

May 3, 2024 at 4:23pm
In response to "It's a Crime"

Thailand versus Montana versus New York versus Costa Rica.

Theft? Not in Thailand! Not a huge concern in Missoula, perhaps in NYC, definitely an issue in Costa Rica.

Violence? Not a huge concern in Thailand. More so in MT, NY and CR (where it wasn't a concern years ago), definitely a problem in Saint Louis and the US in general. El Salvador is known for violence.

Death by vehicle. Not a huge concern in either NY or MT. A rising problem in Costa Rica. Thailand is one of the worst places in the world in this respect.

You may be shot and killed in parts of the US but you're more likely to be run-over in Thailand.

1 Like

Simply Me

May 3, 2024 at 11:58am
In response to "It's a Crime"

I get it. The fear spreading jerks wants us to have an "us vs. them" attitude. The division gives them leverage. (they think)

1 Like

🌕 HuntersMoon

May 2, 2024 at 11:37am
In response to "Butt Of Course"

My wife tried waterskiing once... called it the 100-yard douche.

Talk about retaining water...

2 Like

Elisa the Bunny Stik

May 1, 2024 at 10:53am
In response to "Mad as Hell"

"But if you want to really see how anger is useful, you need to consider how it's used as a tool for manipulation."

This is a line that must be regarded with care. After all, there are people that get angry about the way they are being treated on a large scale and harness that anger to change their circumstances. There is some level of manipulation in this angry but still legitimate flavor of activism. We do have to consider the possibility that this angel's usefulness can have net benefits (such as environmental cleanup and protection; see the Live Canal as an example).

February 12, 2024 at 9:07am

#1064055

Cancel Cancel

Today, courtesy of Cracked, a brief discussion of one of the greatest movies ever made.

No, ‘Blazing Saddles’ Doesn’t Come With a ‘Trigger Warning’

Mel Brooks’ landmark 1974 comedy Blazing Saddles turns 50 today...

The date on the article is February 7, so as of today, it's fifty years and five days.

In 2024, it’s tough to uncouple the movie from the heated discourse around its place in modern pop culture, namely thanks to the dead horse of an argument that Blazing Saddles “couldn’t be made today” due to its pervasive racist language.

Well, no, it's not that tough. Just enjoy the damn movie and ignore the "heated discourse." Or don't watch it if you don't like that sort of movie.

Not to mention, the conspiracy theory that the radical left is somehow trying to censor Brooks’ film.

Which is amusing since the film is about as radical left as they let you do in the early 70s. For context, when the movie came out, Nixon was still President; he wouldn't resign for another 6 months.

Now, on its golden jubilee anniversary, a lot of people are revisiting Blazing Saddles on streaming, and some folks are outraged to find that it is currently preceded by a “trigger warning” on Max.

Most of the article goes into exactly what that "warning" is: apparently, a three-minute context video.

Which is approximately two minutes and forty-five seconds longer than the "trigger warning" on pretty much every single other piece of professionally-produced entertainment: the MPAA rating or its TV equivalent.

Of course, we have a similar system here on WDC, and I can't count the number of times someone has cried "censorship" over getting their content rating changed. Because your story had the word "fuck" in it and its content rating was raised to 18+ (passive voice there used on purpose), we're obviously offended by that and they've been censored and we're worse than Hitler.

I bring this up only to point out that this sort of thing exists so that audiences have some idea what they're getting into, and to help parents decide what stuff they want their kids watching or reading. If a grown-ass adult decides they don't want anything to do with R rated movies or 18+ rated items here, that's their choice. Wouldn't you rather know you have a choice than, say, be shocked and surprised by a fun cartoon about bunny rabbits suddenly dropping the F-bomb, showing bunnies doing what bunnies do best (making more bunnies), and maybe exploding into fuzzy blobs of goo with long ears?

In short, content ratings and context pieces aren't censorship. Also, pulling your own content because you suddenly had an epiphany that you maybe shouldn't have done that (e.g. the Dr. Seuss books his estate decided were too racist, or Disney pretending Song of the South never existed) isn't censorship.

Back to the movie in question, though, as the article points out, the movie has the bad guys being racist, while the good guys aren't. It's not a celebration of palefaces being able to say the N word. It's a condemnation of it.

And that's not even getting into the other good reason for context explainers: now, 50 years later, there's entire new generations who didn't grow up with Nixon and casual racism, and helping these newer viewers understand history can only be a good thing, since no one pays attention to that shit in school. If it's even taught these days.

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