Search where?

This Portfolio (cathartes02)

All of Writing.Com

◄ April ►
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
Archive				RSS

Offsite Blogs

· Waltz Travel Blog

Create New Item

Read & Review

Community

Browse By Type

Browse By Genre

Writing Resources

Friday, May. 3, 2024

1:10pm EDT

Members: 942

Guests: 1,652

Total Online: 2,594

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:

Simply Me

about an hour 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)

🌕 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...

1 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.

Kåre Enga in Montana

Apr 25, 2024 at 2:58am
In response to "Reality Cubed"

My dreams may be different from your dreams but if we share them with others then some form of the dream may live on. Regardless, if we don't eat we die. "Joy gives us wings." "Reality bites."

April 23, 2024 at 11:38am

#1069487

Going to the Dogs

One thing that always strikes me about New York City is the scale of the dog infestation.

I'm pretty sure that having a dog is a requirement of living here. I wouldn't be surprised if people are issued one when moving in: "Welcome to New York. Here's your dachshund." At the very least, even though the internet is telling me that having a dog in NYC requires a license, I'd bet they charge you a fee if you don't have a canine.

And the furry barking tail-waggers are everywhere. At any given moment on a typical block (on the Upper West Side, because I can't be arsed to take a subway ride just to support a blog entry), there are at least three dog-walkers on the sidewalk with an average of two dogs on leashes. Doing some quick math leads me to believe that not a single resident of the city is dog-free. Maybe they occasionally just appear in your expensive, cramped apartment via wormhole, complete with a regulation 6-foot-or-shorter leash and a roll of plastic doggie doo bags.

At least New Yorkers tend to be good about using both of these items. Whether that's out of a heightened sense of civic duty, or because they have a healthy fear of the NYPD, I don't know, and it doesn't matter, because the result is the same.

This isn't a case of "stop liking what I don't like." It's not that I dislike dogs, any more than I dislike kids just because I don't want to own one. Although I can't be arsed to do all the work a dog requires (and I absolutely will not pick up dog shit, with or without gloves), I understand that a lot of people want to hang out with the mopey, needy quadrupeds. It's just that I know what the housing situation tends to be around here, and, even with daily walks, having a retriever in an apartment the size of my spare bathroom can't be good for the dog.

Not only that, but right now, it's pretty close to the middle of astronomical spring. This, right now, is one of two weeks of the year when it's actually pleasant to be in NYC, the other being the week of the fall equinox. Between these two events, in one direction, it's either pouring down rain or oppressively hot, or both; in the other direction, it's either pouring down rain or snow, or oppressively cold, or both. And yet, every day, you gotta walk those dogs. Twice, at least. While juggling the three jobs and two side gigs you need to afford to live in NYC.

I get that some people want to live with dogs. I get that some people want to live in NYC. I'm just left shaking my head in confusion over the intersection of the two.

5 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/4-23-2024