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Friday, Nov. 1, 2024

12:25am 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

Show Recent Comments

10 Most Recent Blog Comments:

tj: Tenebrous Jekyll

about 7 hours ago
In response to "Phases"

Perhaps, if the full moon drives one to madness, the half moon will only make one half-crazy.

1 Like

Battywyn🎶

Oct 29, 2024 at 12:18pm
In response to "The Numbers Don't Lie"

I hear ya. I like to think I'm discerning enough to detect fakes, but that might just be my ego talking. When it comes to local businesses, I also go to social media and request recommendations. With both reviews from strangers and recommendations from friends, I give more credence when more (anecdotal, heh) details are provided. It's more an art than science, but liars either have such flawless details that their story sounds fabricated, or they get embarrassed when they trip themselves up. Truthtellers make errors, because memories are fallible, but they get more confused than embarrassed. Ultimately, the only way to really know is to try the product/service yourself. Which is why you'll hear about my Cancun vacation next month, but you don't have to believe me.

1 Like

Robert Waltz

Oct 29, 2024 at 11:07am
In response to "The Numbers Don't Lie"

Battywyn🎶

- I, too, look at the 1-star reviews, though again, reviews aren't my sole criteria. But sometimes it's blatant fake reviewing from the competition: "Don't stay here! It has rats, bedbugs, and roaches! Stay at this other place instead!" where "this other place" is clearly owned by the reviewer.

On the other paw, five-star reviews are often salted by the establishment in question.

Used to be, you could look at the four- and two- star reviews to get more honest, nuanced opinions, but the establishments, and their competition, have figured out that trick.

Which is one reason why reviews aren't my sole criteria.

(None of this applies to WDC reviews, or to the artificially inflated Uber rating system)

Battywyn🎶

Oct 29, 2024 at 11:00am
In response to "The Numbers Don't Lie"

And I was going to conclude by saying, when evaluating Caribbean vacation destinations, even if 5,000 people gave it a 4.8 rating, if the one star reviews were from seven people who encountered rats in their rooms, I'm very likely to not choose this destination.

2 Like

Battywyn🎶

Oct 29, 2024 at 10:58am
In response to "The Numbers Don't Lie"

Well, that was annoying. I was still in the process of editing, so please excuse the multitude of errors. I also intended to italicize the quotes from your post. Stupid f****** Parkinson's.

1 Like

Battywyn🎶

Oct 29, 2024 at 10:56am
In response to "The Numbers Don't Lie"

You know what sometimes lies? Anecdotes.

Also, dogs, I've heard.

Oh, hell no.

🤣 I love a good inside joke, but my marketing guru would tell you to cross link here

The fallacy is named after Robert McNamara, the U.S. Secretary of Defense during the Vietnam War, where his over-reliance on measurable data led to several misguided strategies

Bet he's proud of his claim to fame.

What's the point in data, then?

The point in data is a decimal separator, unless here in non-english speaking countries, in which case it's more likely a thousands separator.

So, whenever I'm evaluating online reviews for pretty much anything, and for the record I check them for almost everything - I always consider three things: 1. The average rating (eg, number of stars); 2. The The number of contributors to the rating; and three. What the one star ratings say.

1 Like

Annette

Oct 28, 2024 at 2:47pm
In response to "Waste Not"

In Southern California, every single family residence has a green bin. Every trash day, three different trucks make the rounds.

1 for composting
1 for recycling
1 for garbage

Trader Joe's sells almost exclusively packaged foods, even perishables. They have contracts with college food pantries. In many colleges, there are now pantries that are open to the students 4 or 5 days a week plus 1 day when people from the community can drive up and receive a bag with a mix of fresh fruits and vegetables along with non-perishable foods and donated sundries.

Churches are huge food redistribution centers also.

The "too hard to set up" systems have created good jobs here. Instead of seeing food donations as a liability, they have created a supervised and refrigerated second market.

The cost for employees is small because, of course, many of the positions are volunteers. But the supervisors and some of the staff are full time employees with benefits.

The article has thrown up obstacles that are easy to overcome.

3 Like

AnotherDreamer

Oct 28, 2024 at 11:33am
In response to "Waste Not"

https://cdn.prod.website-files.com/6156cebc4c605e281289a232/6156cebc4c605eb8bc89... e%20for%20beginners%2024%2009%2018.pdf

1 Like

Robert Waltz

Oct 28, 2024 at 11:33am
In response to "Waste Not"

AnotherDreamer

- Hey, it's a replicator from Star Trek!

Now let's invent the holodeck.

2 Like

AnotherDreamer

Oct 28, 2024 at 11:27am
In response to "Waste Not"

We the people of the world could use those products before they are compost as free sources for 3D printed foods that could be used for emergency food, or if tasty enough, re sold.https://builtin.com/articles/3d-printed-food

2 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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