Search where?

This Portfolio (cathartes02)

All of Writing.Com

◄ December ► 2021
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	29	30	31
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

2:29am EDT

Members: 783

Guests: 1,295

Total Online: 2,078

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 10 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

about 15 hours 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

a day ago
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.

December 13, 2021 at 12:02am

#1023146

Congratulations!

For the rest of the month, I may be late posting or, if things don't work out the way I'm expecting, I might miss a day or two. Just a reminder, if you've gotten used to my schedule.

I'll get back to commenting on offsite links tomorrow.

Today, I just want to thank everyone who's been reading, and those who commented yesterday.

⭐Princette♥PengthuluWrites

- 837 day streak here. They say I'm in the top 1%. Your position is even more rarefied. Well done! Félicitations, j'espère que tu continueras.

🌕 HuntersMoon

, 10 years beats my marriage record by a lot. Awesome!

Writer_Mike

, lots of people wait until the last possible minute to enter a contest. Even people who run contests and challenges. As for the bonus achievement, one advantage of not having a car is I don't run out to fast food places on a whim. Yes, there's Uber Eats, but so far I've resisted.

Sumojo

, the I Write activity is a great motivator, I've found. I know I participated in it once. Can't remember if I finished. I seem to remember getting hung up in September when I just couldn't take another "birthday" prompt. And congrats on the anniversary - you even have 🌕 HuntersMoon

beat there!

QPdoll

, that's awesome about the degrees! And obviously I'm a fan of 30DBC, but I don't think I ever participated in all six in one year - that's certainly an achievement.

Lilli 🧿 ☕

, you know, that's a major accomplishment these days.

Legerdemain

, thanks, always good to hear from you. And waking up every morning is something I've never managed to accomplish, so yay!

Prosperous Snow celebrating

, I tried to do Contest Challenge but I got freaked out at all the backlog. Putting it off is only making it worse. Awesome that you're able to do it. Congrats!

Annette

, I've heard that communication is key to a successful marriage. I wouldn't know firsthand.

Kåre Enga in Montana

, I appreciate all the encouragement you provide, not just to me, but to all bloggers. That's an achievement too. No, I don't feel obligated to write every day. If I did, I'd probably stop because it will have become "work." As long as I want to do it, I'll continue.

And since, like I said, I'm feeling generous, I'll send everyone who commented yesterday a Merit Badge (to be sent out later today). Also, I know I said CR not guaranteed, but if I've sent you one in the past two weeks (I know that applies to a few people here), I will hold off on sending yours until closer to the end of the month.

Again, thanks for reading, and congratulations on all your achievements!

9 Like • Comment • View 4 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/12-13-2021