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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:

Wordsmitty ✍️

May 13, 2024 at 1:18pm
In response to "The Breakfast and the Breakfurious"

And for those who rather not read the Smithsonian article, the History Channel episode that covers Pop Tarts (if you have a cable TV account):

https://www.history.com/shows/the-food-that-built-america/season-4/episode-1

Annette

May 10, 2024 at 12:05pm
In response to "Meditation Clause"

Everytime a stranger asks me to close my eyes, I keep my eyes open to see what they are up to.
Meditation is not for me.

But I think most people would have 45 minutes every day if they took that time away from social media or TV watching.

2 Like

Wordsmitty ✍️

May 9, 2024 at 1:15pm
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

May 9, 2024 at 10:11am
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

May 8, 2024 at 3:02pm
In response to "Be Positive"

Mine always tell me to eat more fruits and veggies.

Annette

May 8, 2024 at 10:52am
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

December 3, 2019 at 12:01am

#970888

Emotion Sickness

https://www.inc.com/travis-bradberry/are-you-emotionally-intelligent-here-s-how-...

Are You Emotionally Intelligent? Here's How to Know for Sure
Emotional intelligence is a huge driver of success.

The more I see about "emotional intelligence," the less I understand. I finally realized what was going on here: it's something that someone made up to make themselves feel better about not being very intelligently intelligent, and other people who aren't geniuses liked the concept and ran with it.

It's a bit like the old "but she's got a great personality" description, or the homilies poor people tell each other to feel less bad about being not rich, like I talked about a couple of days ago.

When emotional intelligence (EQ) first appeared to the masses, it served as the missing link in a peculiar finding: people with average IQs outperform those with the highest IQs 70 percent of the time. This anomaly threw a massive wrench into the broadly held assumption that IQ was the sole source of success.

I don't know why anyone ever thought IQ and "success" were correlated. Lots of people with high IQs are lazy as fuck. They do the bare minimum needed to get by, and tend to be really good at figuring out exactly what that bare minimum is. Which is another form of success, really.

So it sounds to me like they did some sort of correlation between IQ and some ill-defined concept of success, and then invented Emotional Intelligence to fill in the gap.

Decades of research now point to emotional intelligence as being the critical factor that sets star performers apart from the rest of the pack. The connection is so strong that 90 percent of top performers have high emotional intelligence.

Sure. If you define Concept A as "that which correlates with success" you shouldn't be surprised that a lot of successful people possess Concept A. I mean... come ON.

Despite the significance of EQ, its intangible nature makes it difficult to measure and to know what to do to improve it if you're lacking.

Are you successful? Then you have a high EQ. Want a higher EQ? Achieve success. If something is difficult to measure, it's probably bullshit.

The article goes on to present purported "sure signs" that you have a high EQ, like:

You have a robust emotional vocabulary.

People with high EQs master their emotions because they understand them, and they use an extensive vocabulary of feelings to do so. While many people might describe themselves as simply feeling "bad," emotionally intelligent people can pinpoint whether they feel "irritable," "frustrated," "downtrodden," or "anxious."

Oh come on; that just means you've got some talent for writing.

You're curious about people.

The more you care about other people and what they're going through, the more curiosity you're going to have about them.

I assure you, one can be curious about people without giving half a shit about them.

After that one I have to admit I started skimming. This was starting to look like a random natal astrological chart.

Now, admittedly, this is a fairly old article by internet standards. It's just that when I came across it, I finally clicked with the whole "emotional intelligence" thing and how it's probably self-fulfilling feel-good nonsense. Nope, I'm just going to sit here smug with my off-the-chart level of actual intelligence and sling mud at what ordinary people do to feel better about themselves.

I guess that makes me emotionally retarded. I can live with that.

1 Like • Comment • View 1 comment

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