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Friday, Nov. 1, 2024

4:26am 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 11 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

February 25, 2020 at 12:02am

#976273

Hack This

Worth reading if you want a decent takedown of "lifehacks." Or even if you don't. Especially if you don't.

https://medium.com/personal-growth/the-problem-with-hack-culture-b0ddf43784e9

The Problem with ‘Hack’ Culture
Most of it is complete, utter bullshit

I mean, really, it's right there in the subhead.

Venture down the self-help aisle of any bookstore and you’ll see it littered with titles about hacks, quick fixes, burning fat, and accessing mystical sounding theta brainwaves.

Lifehack: Don't browse the self-help aisle. Better yet, if you know there's something you want to improve, go to Amazon, find appropriate books and read the reviews. Yeah, yeah, I know, support your local bookstore and all that. But don't feed their "self-help" beast.

But the internet age has ushered in a whole new era: The maddening proliferation of hope — clouded in broscience.

"Broscience." I'm not sure I like that. But it's apt.

Use polyphasic sleep to hack your energy levels.

That one might work if, like me, you're naturally polyphasic, and can adjust your schedule accordingly. Then again, it might not.

The problem with all of these grand promises? The vast majority of them are bullshit. Complete, utter bullshit wrapped in complex sounding broscience.

Sturgeon's Law again. 90% of all published works are crap.

Now here's the part that addresses us as writers.

But the reality is that the onus shouldn’t be on the consumer of information; it should be on the writer, speaker, or influencer who has the power to make a difference. When you have a platform, you have a responsibility.

The downside of free speech is that everyone can exercise it. Wait, that's the upside. No, the actual downside is that it requires discerning consumers of said speech, which is difficult if you don't even know what to watch out for. I'll mention a few keywords to watch out for, apart from "hack:" cleanse, homeopathic, natural, ancient. I'm sure you can think of more.

For too long now, we’ve focused on the details, the finishing touches, the small things that may or may not work: Why am I concerned with whether or not I put cream or butter in my coffee but OK with binge drinking at the bar a few times a month?

Because I don't drink coffee but I do drink beer? Oh, wait, the author apparently thinks binge drinking is bad. Never mind.

In our diets, we go nuts over whether 80 percent of calories should be carbs or fat, all the while overlooking that a lot of what we eat — both carbs and fat — comes wrapped in plastic and bears little resemblance to anything found in nature.

I keep seeing that the true enemy is "processed" or "overprocessed" foods, but I haven't found a good definition for those, yet. I mean, technically, cooking is a process, and - raw-food-diet bullshit aside - cooking is what makes a lot of food more nutritious and digestible. Potatoes, for example. It's probably what allowed our ancestors to evolve these great big brains that most of us don't use.

We are seeking the silver bullet when the reality is we need to zoom out and nail the basics before we even consider the final 2 percent.

And there it is, folks, the buried lede.

It’s for these reasons that I wrote The Passion Paradox and Peak Performance. Am I a self-help guru? No way! But I do feel qualified to bring the focus back on the concepts that actually make a difference.

Look, dude, I'm not saying you're wrong, or that you're right. But I'm not clicking on those book links. Isn't the major part of the problem that too many people "feel qualified" to do this or that, without being actually qualified? Also, I hate reading this far along a halfway decent article only to find that it's a commercial in disguise. Bah.

So, I'm done here. I feel like he has good points, but those are somewhat muted by the fact that he's doing exactly what he's railing against.

Of course, I "feel qualified" to make these assessments.

1 Like • Comment • View 6 comments

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