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Sunday, Dec. 22, 2024

12:06pm EST

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Complex Numbers

by Waltz Invictus

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:

Annette

a day ago
In response to "Neutral Zone"

It made me happy that I was able to like it. I take the small victories.

1 Like

tj-Merry Mischief Maker

a day ago
In response to "To Err Is Human"

Right from the beginning I find myself asking, "How many times can anything go extinct?" On a side note, the other day while shopping I saw a neanderthal in the produce section. He was trying to fit in with modern clothes, but it was pretty obvious he was a neanderthal.

1 Like

Annette

a day ago
In response to "To Err Is Human"

Comments work.

"Like" button sends me this message:

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2 Like

Annette

a day ago
In response to "To Err Is Human"

Can I leave this comment?

Wordsmitty ✍️

Dec 19, 2024 at 9:03pm
In response to "Five Seconds"

Way, way back when I was little, it was a three second rule that I remember. Sometime since it was upped to five seconds because of all the chemical preservatives that are pumped into everything now.

1 Like

tj-Merry Mischief Maker

Dec 19, 2024 at 3:43pm
In response to "Five Seconds"

I also ate carrots right out of the garden growing up, I also picked and ate fruits and berries growing in the wild without washing. I do remember food dropped on the floor was either rinsed off and then eaten, or if it was something not easily rinsed, like buttered toast buttered side down, we gave it to the dog.

In our house, there's not a five second rule; unless it's something dogs can't eat, it's whichever one gets it first.

2 Like

🌖 HuntersMoon

Dec 19, 2024 at 8:53am
In response to "Five Seconds"

2 Like

Aiva Raine

Dec 17, 2024 at 7:39pm
In response to "Need for Speed"

Even with the actual explanation- it still left me going- sooooo what's the difference between the special expensive "speed tape" they use for "temporary fixes" and duct tape? LOL- sure sounds like duct tape to me and they are using it for exactly the same reasons you would use duct tape. I'm guessing that the only difference between it and duct tape is the "speed tape" is slightly stronger and handles temperature differences better. It still comes down holding the plane together with tape which doesn't exactly fill me with confidence. Especially if it's a Boeing plane.

1 Like

tj-Merry Mischief Maker

Dec 17, 2024 at 6:14pm
In response to "Need for Speed"

I suppose they call it speed tape to keep people calm. If they called it what it is, temporary repair tape, they may lose passengers.

2 Like

Waltz Invictus

Dec 17, 2024 at 9:43am
In response to "Need for Speed"

Ichabod Crane-- Mince Pie

, I've heard that speed tape is extremely expensive. I can only assume the maintenance guys at Delta got a five-finger discount. But if you're going to steal from work, might as well go big and not just lift a box of paper clips.

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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