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Wednesday, Sep. 11, 2024

10:13pm EDT

Members: 933

Guests: 1,093

Total Online: 2,026

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:

Aiva Raine

about 7 hours ago
In response to "Drop and Gimme Twenty"

Happy 20th. We're glad you joined and doubly glad you've stayed this long. I look forward to reading your daily blog as part of my own daily ritual.

1 Like

Wordsmitty ✍️

about 9 hours ago
In response to "Drop and Gimme Twenty"

Wow. That sounds mature for twenty. Next year you can get some booze to celebrate.

I'm sure we're all glad you did sign up. Enjoy the day.

1 Like

Annette aka Din Djarin

about 9 hours ago
In response to "Drop and Gimme Twenty"

Happy 20th to you!

My username was octobersun2 for the same reason. My first attempt to join somehow didn't work.

1 Like

🌕 HuntersMoon

about 10 hours ago
In response to "Drop and Gimme Twenty"

Happy Anniversary, you old dog...

1 Like

Kåre Enga in Montana

Sep 9, 2024 at 10:57am
In response to "Time Out"

"As long as everyone agrees to it" is paramount.

The Polynesians navigated by the stars. No clocks needed. A different approach. Still... all relative.

1 Like

Legerdemain

Sep 9, 2024 at 10:47am
In response to "Time Out"

I'm not scientific, at all. But what about Earth's wobble? Who accounts for that?

1 Like

🌕 HuntersMoon

Sep 9, 2024 at 10:20am
In response to "Time Out"

This was so heavy... I think I lost 26 microseconds reading it.

1 Like

Elisa: Middle Aged Stik

Sep 8, 2024 at 12:04pm
In response to "Writing It Off"

I am late to the party with my comments, but here we go.

Used to be, I wanted to get published.

I used to want to be published in terms of stories. Nowadays I'd rather be published in terms of photos. And self publishing may be my only option in that regard.

but the travel writing field is crowded with young influenzas who can't write for shit, but look good in selfies.

And before that it was crowded with middle aged socialites with nothing better to do (but did have some level of writing skill).

Other people here have dealt with the limit by deleting old entries. I won't do that. Most never have to worry about the limit, and that's perfectly okay.

I admit that as of late I don't let my book items hit the entry limit. Part of it is my entries are super long (current average being *checks notes* 7.48 kb in size). Part of it is I also feel like book items should end after at most five years. I think of my old paper diaries and how they felt more meaningful when I didn't let their use drag on forever. If I stayed consistent, they'd end maybe at most after a year and a half. They often wrapped up sooner than that. Even moving to online journaling, I appreciate a journal that is finite not based on the number of entries but by time elapsed since the book started having entries added to it. My current journal may last a tad longer than my previous ones, but I imagine I'll wrap it up in late 2027, maybe early 2028. We'll see how much space I have to work with. In the old days, 1000 entries was considered a major achievement of an end point. I hope I can get that much out of it, as I think that's more reasonable. I do think 3000 entries of my kind of work in one place is a bit much.

1 Like

🌕 HuntersMoon

Sep 8, 2024 at 11:00am
In response to "Revisited: "Orange You Glad This Wasn't You?""

Maybe this would help... or at least attract your attention?

1 Like

Robert Waltz

Sep 7, 2024 at 11:39pm
In response to "Spit in the Ocean"

Both commenters today had already received MBs from me this week, so I went back to every entry this week and picked a comment at random.

The final Birthday Week MB goes to:

🌕 HuntersMoon

Thanks, everyone, for reading and participating!

1 Like

August 7, 2024 at 10:11am

#1074867

I Kid You Not

Let's get this out of the way up front: I don't hate kids. There's this persistent binary belief that you either have to love something or hate it, and there's no range in between. I also don't hate dogs; I just don't want to own one or be in a place where someone's biting my ankles. So this Lifehacker article appealed to me, despite the source.

The Best Places to Go When You Don't Want to Be Around Kids
You don’t have kids, and you don’t want to hang out with kids. Here’s how to find places to live, vacation, and go out where you’re guaranteed to be child free.

Besides, would you trust a single, childfree dude in his 50s who says he "loves" kids? I didn't think so.

There are a lot of reasons someone might choose to be child free, either for a short time or permanently. Some folks just don’t have any desire to be parents, some can’t afford to be parents, and some parents just need a break from their kids from time to time (which is totally normal and okay).

"I just don't want to" should be a more acceptable answer to "Why don't you do [something]?"

Of course, just because you’re not bringing any kids doesn’t mean other people won’t. Some folks seem to believe that children should be welcome everywhere, in every situation, no matter what.

And that's the other part of it: it's usually not the children who are to blame; they're basically AI being trained on a data set. It's the parents who ought to know better.

Whatever the reason, you can’t always guarantee you’ll have a child-free experience—unless you plan ahead and choose your destinations wisely.

Well, I'm purposely going to Europe in the fall, when most kids are stuck in school. And my primary interest involves various forms of alcohol. This doesn't stop parents from showing up with their little accessories, but it does cut down on the volume involved.

So, where are these magical places, these anti-Disneylands, according to Lifehacker?

55+ communities

Yeah, no, I'd have to learn how to play golf.

Child-free resorts and cruises

Maybe as a last resort. (Damn right pun intended)

And if you’re looking for a really adult resort, you can seek out “sex-positive” vacation spots where you can let it all hang out.

Hard pass. See, this is my problem with everything in general: "Adult" shouldn't necessarily imply sex. Sometimes you just want to chill with people who talk about something other than Bluey, or whatever the kids are into these days.

Restaurants

If you’re just looking for a night out without dealing with screaming kids or misbehaving pre-teens, finding an adults-only restaurant is just the ticket. While many restaurants aren’t specifically no-kids-allowed, there’s a growing trend of restaurants advertising themselves as “adults-only,” promising a dining experience free of chicken fingers and the buzz of multiple screens designed to (hopefully) keep youngsters occupied while the adults attempt to have a conversation.

I've mentioned at least one of them in here before, I'm sure. But it's not too difficult to just avoid any restaurant with the word "family" in its name or description.

Spas

I'm not really in their demographic, either.

Lame list, after all. Let me tell you how I avoid kids:

Travel alone.

Airline upgrades (you can barely hear the wailing from up there in first class).

Bars, especially dingy dive bars.

Wineries. I'd say breweries, but many of them are family-friendly by design. Which doesn't stop me from going there, of course.

Cigar lounges. For obvious reasons.

Casinos. Occasionally, you'll see some harried parents rushing their kids through the casino aisle, but the draw of a casino isn't the gambling; it's that anyone under 21 is generally prohibited.

Thing is, though, it's not like I build my life around avoiding kids. The misbehaving ones, sure, but that risk is minimized by going to less family-oriented places and/or going somewhere (like a beach, say) during school months. I dislike dense crowds in general, whether or not kids are involved.

In short, this list sucks and was obviously put together on a short deadline.

5 Like • Comment

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