Search where?

This Portfolio (cathartes02)

All of Writing.Com

◄ February ► 2019
S	M	T	W	T	F	S
					1	2
3	4	5	6	7	8	9
10	11	12	13	14	15	16
17	18	19	20	21	22	23
24	25	26	27	28
Archive				RSS

Offsite Blogs

· Waltz Travel Blog

Create New Item

Read & Review

Community

Browse By Type

Browse By Genre

Writing Resources

Saturday, May. 4, 2024

12:27pm EDT

Members: 1,016

Guests: 1,058

Total Online: 2,074

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:

Kåre Enga in Montana

about 20 hours ago
In response to "It's a Crime"

Thailand versus Montana versus New York versus Costa Rica.

Theft? Not in Thailand! Not a huge concern in Missoula, perhaps in NYC, definitely an issue in Costa Rica.

Violence? Not a huge concern in Thailand. More so in MT, NY and CR (where it wasn't a concern years ago), definitely a problem in Saint Louis and the US in general. El Salvador is known for violence.

Death by vehicle. Not a huge concern in either NY or MT. A rising problem in Costa Rica. Thailand is one of the worst places in the world in this respect.

You may be shot and killed in parts of the US but you're more likely to be run-over in Thailand.

1 Like

Simply Me

a day ago
In response to "It's a Crime"

I get it. The fear spreading jerks wants us to have an "us vs. them" attitude. The division gives them leverage. (they think)

1 Like

🌕 HuntersMoon

May 2, 2024 at 11:37am
In response to "Butt Of Course"

My wife tried waterskiing once... called it the 100-yard douche.

Talk about retaining water...

2 Like

Elisa the Bunny Stik

May 1, 2024 at 10:53am
In response to "Mad as Hell"

"But if you want to really see how anger is useful, you need to consider how it's used as a tool for manipulation."

This is a line that must be regarded with care. After all, there are people that get angry about the way they are being treated on a large scale and harness that anger to change their circumstances. There is some level of manipulation in this angry but still legitimate flavor of activism. We do have to consider the possibility that this angel's usefulness can have net benefits (such as environmental cleanup and protection; see the Live Canal as an example).

GeminiGem survived GoT

Apr 29, 2024 at 1:53pm
In response to "Supplementary"

Working in health care for a zillion years, I've heard it all. The whole thing about something being natural, therefore it would be good for a person is very, very, very...very prevalent. An internist I worked with had a fantastic comeback to that line of thinking. She would say, "Arsenic is natural, are you going to start taking that?"

1 Like

Lazy Writer est 4/24/2008

Apr 28, 2024 at 2:14pm
In response to "Revisited: "Exercise""

I will be 75 in July. My stepdaughter gave me a bike because I wanted to ride it again. Well, I started off shaky and stayed shaky...then I fell off it...A passing motorist stopped to help me get up...I have NOT been back on that bike and will not ever again.

🌕 HuntersMoon

Apr 28, 2024 at 10:43am
In response to "Revisited: "Exercise""

So, you're saying that now you pedal your ass differently?

Elisa the Bunny Stik

Apr 27, 2024 at 10:33am
In response to "Pleasure and Pain"

it illustrates why it's important to have people from different backgrounds, with different worldviews, working on scientific research.

This right here is why I get rather irritated by people poo-pooing college these days. I feel like that attitude effectively shits on minority populations that may not have strong finances but do possess persistent curiosity and want to learn about various subjects in-depth. In the 90s, these groups were exclusively told to go to trade schools even if they had the aptitude for college education. Nowadays the blanket "Everyone should consider a trade" mantra employs a more subtle (but still abundant) form of discrimination. I'm so over it.

1 Like

Kåre Enga in Montana

Apr 25, 2024 at 3:16am
In response to "Going to the Dogs"

I have ants in Thailand. Will I miss them in Montana? No.

Would it be nice to have a cat and a dog, here or there? Yes, but I have struggles keeping my neglected plants alive.

Not every situation is suitable for everything or everybody.

Kåre Enga in Montana

Apr 25, 2024 at 3:09am
In response to "Tipped Out"

I don't tip. In my travels I rarely find tipping the norm.

I also don't haggle.

When you add the tip... the true cost of America becomes evident. But what would I know? I travel while others who have double my income can't pay rent.

February 3, 2019 at 1:35am

#951042

Georgia Not On My Mind

Talk about your plans for the superb owl or if you're not a fan talk about something you are a fan of like maybe Adam Levine or Gladys Knight she's doing the national anthem.

You know what I'm not a fan of?

Atlanta.

Oh, the city's nice enough - if you can move around in it. Which, if you're driving, you can't. You think NoVA is bad? You think Boston is bad? You think Orlando is bad? Phoenix? L.A.? Well, you're right, but for unadulterated frustration, try driving in Atlanta. You know how Yoda was all like, "Do or do not. There is no try?" Well, Atlanta is firmly in the "do not" camp when it comes to driving anywhere.

I can only imagine a sportsball game would make things worse, even if it does take place on a Sunday.

And yeah, I'm not a fan of football. Oh, don't get me wrong; I understand that many people are, and I'm not trying to dis your hobbies. You like to make fun of me playing D&D and reading comic books, so I'm taking the moral high road here, because I'm the better person.

I can even understand why people who aren't normally fanatics about football get together on a certain Sunday early in the year to watch the game whose name we can't speak without incurring the wrath of the NFL's lawyers. I even attended such a party once in this millennium, because Springsteen was doing the halftime show, and there was no way I was going to miss that. Also, there is traditionally drinking involved, and I encourage such behavior whatever the excuse (or lack thereof). So yeah, party on, Garth.

I get that people are into the spectacle and get emotionally invested in the whole thing. I feel that way about some rock concerts.

But what I can't grok, not even a little, is why people watch the game for the fucking commercials. I hate ads with an all-consuming, fiery passion, to the point where I didn't even watch TV at all for many years so as not to encounter a commercial. I only started up again when streaming became a thing, because there are no gods-be-damned ads. I freaking pay for TV shows that I like on Amazon because I don't have to put up with commercials. While I do understand that there are a lot of innovative ads in that spot, they are still ads and thus need to be incinerated in the burning pits of Mordor. And then I hear things like "Oh, I don't care about the game; I just want to see the commercials." WHAT EVEN GAAH I LITERALLY CANNOT.

As an aside, if any other activity - chess or math, e.g. - caused the kind of injuries to grade school students that football does, it would be banned. I'm just saying. That's not my issue with football, though. It has more to do with it being a four-hour delivery system for commercials with about 11 minutes of actual sports action.

But you know the absolute worst thing about the big game? I'll tell you what the worst thing is, and it's a very personal one. You see, the very first one was held the same year I turned 1 year old. If you count that as number 1 (or "I"), then you can quickly see that whatever the game number is in any given year, I will be turning that old a few short days later.

That is a reminder that I simply do not need.

Also, who in the ad-saturated hell is Adam Levine? I can't be arsed to look him up.

5 Like • Comment • View 5 comments

© Copyright 2024 Robert Waltz (UN: cathartes02 at Writing.Com). All rights reserved.
Robert Waltz has granted Writing.Com, its affiliates and its syndicates non-exclusive rights to display this work.

Printed from https://www.writing.com/main/profile/blog/cathartes02/day/2-3-2019