Search where?

This Portfolio (cathartes02)

All of Writing.Com

◄ October ► 2022
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

Wednesday, Nov. 6, 2024

4:34am EST

Members: 697

Guests: 2,782

Total Online: 3,479

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:

Aiva Raine

about 14 hours ago
In response to "It's Hard Not To Scare"

Shaking head. Aside from the inevitable Simpson's spider goat song playing in my head which I will now share with you below, whenever I come across a story that has all these scientists doing ridiculous experiments for no logical reason, I must go- ah- scientists- CANCER? You do remember that problem right? Can we maybe cure that before we make cockroaches magnetic and elephants see pink elephants?

spider pig clip- and if you all now are singing the spider goat song- you're welcome! grin
https://www.youtube.com/watch?v=BARjPuUN36Y

1 Like

Aiva Raine

about 14 hours ago
In response to "Anomalies"

One of your more humorous entries- I especially enjoyed- "Lofoten Vortex can be the name of my Bjork cover band."

Thanks for the laughs. Much appreciated.

2 Like

JayNaNoOhNo

about 15 hours ago
In response to "Anomalies"

*Toronto, Canada submits a sternly-worded petition and disputes the center of the universe claim.*

2 Like

tj-turkey-jobble-jobble-hard-J

a day ago
In response to "It's Hard Not To Scare"

Smarter mice? Just what we need!

1 Like

Wordsmitty ✍️

a day ago
In response to "It's Hard Not To Scare"

"Friendly neighborhood spider-goat." Isn't Marvel working on that for release in '26. - "Yes, it's cute, MJ, but you shouldn't ..."

2 Like

tj-turkey-jobble-jobble-hard-J

Nov 3, 2024 at 3:52pm
In response to "Revisied: "Inevitable""

I can think of far more absurd ways to die, but most of them involve alcohol and maybe prostitutes... This statement reminded me of the passing of a friends grandfather; he died of a heart attack while intoxicated and with a prostitute, Viagra also aided in his heart failure.

2 Like

Turkey DrumStik

Nov 3, 2024 at 9:46am
In response to "She Said Spatchcock"

You can spatchcock, or butterfly, any bird.

That bit might only be funny if you're familiar with British slang.

It's really a pity that the British national team's mascot is a lion and not a rooster. Ironically, that's the French national team's mascot, which did make for a pretty good joke during the Olympics.

2 Like

Turkey DrumStik

Nov 3, 2024 at 9:31am
In response to "Cave In"

tj-turkey-jobble-jobble-hard-J

-Yeah, those instigators from Illinois and Texas would really degrade the standards of Hell.

2 Like

Turkey DrumStik

Nov 3, 2024 at 9:30am
In response to "Revisied: "Inevitable""

Though I clicked on it to check, I no longer follow that site and want nothing to do with them, which is why we haven't had any LitHub links in over a year.

Well, now my curiosity is piqued. What happened on this front?

2 Like

🌕 HuntersMoon

Nov 3, 2024 at 8:37am
In response to "Revisied: "Inevitable""

Let's get real. Once you're dead, you really don't care do you...

2 Like

October 15, 2022 at 12:01am

#1039232

Reformation

Wrapping up October's "Journalistic Intentions"

[18+] with a blind quote.

"It is important to start socializing the idea of reforms now—sometimes they are upon us quicker than we think."

I have no idea what this is in reference to, and I don't want to look it up to do this entry. It's called a blind quote for a reason. I'm going to go ahead and assume it's referring to something in the US, though.

Consequently, no matter to what it refers, half the country stopped reading at "socializing" and immediately dismissed anything else. "Sounds like soshulizm to me."

I considered listing some issues that might need reform here, but there are so many things in that category in the US that it might be easier to list the things that are not in need of reform.

And if I had given myself more time, I might even be able to think of one. Thing is, when something is going right, we tend not to worry about it too much. This was the case with (yes, I'm going here) abortion laws, until suddenly it wasn't going right and it became something in need of reform.

The other problem with listing the things I think do need reform is that, inevitably, listing them creates the implication of some sort of order. Like, even if I say "in no particular order," whatever I list first will stick in a reader's mind as my top priority. If I say "police" first, you'll think that's at the top of my mind, for example. And now you probably already think it's police.

It is not.

And it's not like fixing one thing would make everything else fall into place. Well, with one possible exception: elections.

But that's still not the foremost problem on my mind.

Nor is education, nor space exploration, nor even the imminent threat of nuclear war. Not health care delivery (actual health care, now that I think of it, is one thing we do right—for those who can afford it). Not animal cruelty, not the environment, not climate change, not energy, not terrorism (domestic or otherwise), not gun violence. Even the problem of homelessness isn't the top issue for me; neither is inflation. Or the looming recession. Or living wages, or the existence of tipping, or lack of religious freedom. Racism (both systemic and personal), a general lack of affordable housing, Twitter, regressive drug laws (especially the continuing illegality of cannabis at the federal level), private prisons, infrastructure rot, drought, political corruption, and far more issues are certainly important, but again, I wouldn't put any of them at #1.

No, the biggest issue needing reform right now is the severe lack of beer in my refrigerator.

Fortunately, that one's easily solved, unlike these others, and I will do so later today.

What? With enough beer, I can pretend that these other problems don't exist.

Okay, now that I'm done, I'm going to Google the blind quote.

Huh. Supreme Court term limits and related reforms.

Just goes to show that, even when sober, I can't think of everything.

3 Like • Comment • View 2 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://shop.writing.com/main/profile/blog/cathartes02/day/10-15-2022