Search where?

This Portfolio (cathartes02)

All of Writing.Com

◄ November ► 2018
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

Tuesday, Apr. 30, 2024

9:16pm EDT

Members: 946

Guests: 639

Total Online: 1,585

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:

GeminiGem of House Lannister

a day ago
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 Udon Thani

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 Udon Thani

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 Udon Thani

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."

Aiva Raine

Apr 24, 2024 at 4:26pm
In response to "Tipped Out"

Agreed. I'll tip and well, for actual waitstaff at restaurants. I'll tip appropriately for bell-staff who assists with luggage at hotels, the more luggage, the bigger the tip. I'll give a tip to the valet as well. Beyond that- I don't tip. Certainly no tip for the fast food workers, coffee baristas, grocery store clerks, etc.

It annoys me to no end that we're being asked to tip for all kinds of jobs where they are being paid an hourly wage. I've worked as a waitress when I was young and my daughter currently does. In those jobs- she absolutely depends upon proper tipping to make a decent wage. And I hate the fact that she is dependent upon tips to do so.

It leaves women especially at the mercy of arsh**() on whether she wants to accept hostile, negative, sexist, harassing, demeaning, and negative behavior from her customers in order to make a living. It condones people treating their waitstaff like shite in order to get paid. While there is much improvement from the 30 years ago when I was working as a waitress in the skimpy outfits we were forced to wear- it's still an issue at non-chain, independent owned restaurants and diners.

Women are left to the mercies of jerk customers and their only recourse is the manager who they have to hope supports their waitstaff rather than the jerk customer. Tipping should be eliminated. All employees should be paid a livable wage and waitstaff especially should not be dependent upon tolerating crappy to obscene behavior from customers in order to make a living.

But, until that happens- I always tip at least 20% and often times more. Very rarely have I tipped lower and the service in those situations was abysmal and they still got 10%.

1 Like

GeminiGem of House Lannister

Apr 23, 2024 at 6:51pm
In response to "Going to the Dogs"

I don't understand the intersection, either. I lived in a much smaller city and found that having dogs was a hassle (although it didn't stop me), what with the complainey neighbors, the extra licensing, etc. I live in a rural location now and it works great. I can't wrap my head around living in NYC with or without a dog, although I like the idea of a place that issues a canine and supplies upon moving there. Can that please be a thing?

1 Like

Lazy Writer est 4/24/2008

Apr 23, 2024 at 3:31pm
In response to "Going to the Dogs"

I love my little dog...but I live in a biggish house with a fenced backyard.

1 Like

November 8, 2018 at 1:45am

#945138

What I'm Doing Here

The more I write, the more I want to write.

Honestly, I thought it would be the other way around. I expected that by committing to blogging again after so many years, it would burn me out, run me out of ideas. But the opposite has happened.

I should have known better, really. When I'm stuck and I want to write, I do what I call a core dump (because I'm a Unix geek from way back) - take a blank file and just start typing, stream of consciousness stuff, nothing I'd ever show anyone else. It's just to get my thoughts out there instead of circling around in my head, freeing my mind for the task or goal I've set. I don't even worry too much about typos in a core dump, which should tell you something; I don't like to display misspellings and grammar problems in what I write. Oh, I know they get through often enough, but normally I avoid them like the outdoors. Point is, a core dump is a very different thing from a blog entry, but they do have one thing in common: after getting my thoughts out, new ones inevitably pop up.

Naturally, I haven't done anything about this yet.

The main difference between a core dump and a blog entry is audience. Although I write both primarily for myself, with a core dump, I know that no one will see it (or at least I hope not). With something like this, there's always the knowledge in the back of my mind that someone might actually read it. Maybe even someone I know nothing about. Will I offend someone? Am I revealing too much of myself? Not enough? Will they skim the boring parts, like I do when I read someone else's writing?

The blogs I follow offsite are done by people with deep knowledge of a particular field, notably astronomy and biology. I dislike watching videos for the most part, because it's harder to skim the boring parts. I shun podcasts as well; hell, I've never heard a single podcast. I read, and therefore, I write.

I also avoid Twatter and Failbook. The latter has turned into something reminiscent of MySpace pages back in the noughties, with shit blinking and moving around; it's annoying. And the former is like arguing with bumper stickers. The first I heard of Tweeter was when a friend of mine told me that some guy had rigged his office chair to Twit every time he farted, and nothing I've heard about that platform since then has led me to believe that it's gotten any classier. Yeah, yeah, I know there's an art to writing with a limited number of characters; it's just that, usually, I need more depth.

And that's my problem when it comes to putting my own thoughts out there: I lack depth of knowledge on any subject, having spent my life preferring to know a little bit about a lot of things rather than a lot about one thing. The only exception is civil engineering, but that was my career and I don't really want to write about the intricacies of parking lot design.

My approach does have its advantages, though; as a writer, I like to make connections between unrelated topics. "Write what you know" doesn't mean to limit yourself to stuff you already know; it's an exhortation to broaden your own pool of knowledge. Sure, there are some topics that attract me more than others, but I try not to miss an opportunity to increase my understanding of something. I've said this before, but there's no such thing as useless knowledge.

And my hope is that I make people think - and laugh.

5 Like • Comment • View 6 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/11-8-2018