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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 2, 2024 at 11:14am

#1074681

Don't Bank On It

Today in You're Doing It Wrong: Banking.

Why You Need a Backup Bank
Your bank can close your accounts, refuse to deposit checks, or do anything else at any time. You need a Plan B.

Well, if that's the case, why use a bank at all? Oh, yeah, because if you keep cash around, eventually the cops will find out and seize it all through civil forfeiture.

I know some people will be like "Bank? I don't hang on to money long enough to need a bank!" This article, then, is not aimed at you.

Banks can refuse to let you open an account in the first place, refuse to accept a check for deposit at their discretion, and can close out your accounts and send you—and your money—packing any time they want, for a wide variety of reasons.

I suppose that's still better than sending you packing while keeping the money.

It’s a nightmarish scenario: You have a checking account with Bank A, where your paychecks are directly deposited and from which you pay all of your bills. One morning you wake up to a long list of bounced checks, failed debits, and late fees—and a note from Bank A that your account has been closed due to “suspicious activity,” or some other vague reason.

One wonders just how probable this is. I've heard of it happening, but it's never happened to me or anyone around me that I know of. The article says it happens "all the time," but as you've probably figured out, there are other examples of hyperbole in the text. One of the links there directs to a news story that mentions, specifically, Bank of America.

Thing is, if you're still banking with one of those huge national banks... why? The purpose of their existence is to screw you.

A backup bank account can also act as quasi-emergency fund. A checking account at Bank B likely won’t be earning much interest, but it will also likely sit undisturbed, and since it’s not directly connected to your daily spending, you won’t be regularly tempted to dip into it.

Also, I can't help but feel like the article is making a lot of assumptions: that you have a job, that you have spare money, etc. I think that to many people, the idea of having enough cash to bother with one bank, let alone two, is laughable. I suppose one can make the argument that to read the article, you have to be in a position to at least have internet access, which implies you're in a place where that's possible. Still, when I was poor, it might as well have been "How to Save Money on Yacht Maintenance."

Don't get me wrong; I'm a big fan of having backup plans. It's like carrying a spare tire in your car. But that assumes you're in a position to own a car in the first place.

5 Like • Comment • View 2 comments

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