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Friday, Nov. 1, 2024

2:35am 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 9 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

January 1, 2020 at 2:21am

#972350

Decade Dance

PROMPT January 1st

Welcome to 2020! As we start a new decade, take the time in your entry today to look back on the previous decade (2010-2019). Write about some of the major milestones from the past ten years. When you look back on your life over the past decade, what events stand out as most noteworthy and significant?

For me, the Teens are a lost decade.

My father died in the late noughties. That was a watershed moment for me. Shortly thereafter, my wife dumped me like yesterday's trash. So i started drinking in earnest.

And I just spent the last hour going through old blog posts, trying to remember what was going on 10 years ago. Damn, I was an asshole. Also, I was funny. Funnier than I am now. This sucks.

The thing that stands out for me over the past decade was traveling.

In 2010, I bought my current car, a Subaru Legacy. It's got 99,000 miles on it, give or take. Most of those miles were from driving across the country. Not once. Not twice. Not even three times. I've made four cross-country trips. I think. I've been drinking (quelle surprise) and I may have lost count.

Let's see. There was the first one, where I got it in my head that I would go from the easternmost point to the westernmost point in the continental US. Okay, go ahead, get pedantic and say that Alaska is on the continent. Fine. You know what I mean, though. I drove from Maine to Washington State. It took a couple of weeks, because I took my time.

There was also the one where I picked three points in the US at random. There was one in Montana, one in Nevada, and one in... Mississippi or Alabama; one of those states.

There was another one where I just decided to drive to Las Vegas and the middle of California rather than fly. I got remarkably sick on that trip, while I was in Vegas, and ended up infecting half of California.

And I'm pretty sure I did that more than once. Not the getting sick part, but the driving part. Like, the last time, I drove to Las Vegas and decided to follow US 60 on the way back. Oh yeah, that was the year I went to Nerd Camp in Colorado and proceeded to Vegas afterward. Also spent some extra time in Colorado on that trip, but somehow managed to find exactly 0 legal cannabis shops.

So let's see. More shit that happened to me in the 2010s. Oh yeah, I had a heart attack. No big deal. I spent a month on Maui. That was awesome, even though it happened to coincide with a time when I had some massive pain in my neck.

Maybe it wasn't actually a "lost" decade. Maybe it was a decade of decadence. A decade dance. Appropriate for a Waltz, I suppose. Beer was a constant. One of my reasons for traveling was to sample as many different beers from as many different places as possible. Did you know that Utah has some excellent breweries? You wouldn't expect it, but it does.

I can't help but think about what the next decade might bring. I have some plans, but life has a way of interfering with them. No point in speculating; if I'm alive to do so, I'll play the recordings here. Until then, here's some Leonard Cohen.

8 Like • Comment • View 10 comments

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