Search where?

This Portfolio (cathartes02)

All of Writing.Com

◄ November ►
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

Sunday, Nov. 24, 2024

11:45am EST

Members: 917

Guests: 1,267

Total Online: 2,184

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:

tj-turkey-jobble-jobble-hard-J

about 17 hours ago
In response to "Pursuit"

My grandmother used to say, "Pursuing happiness is like a dog chasing it's own tail."

3 Like

🌕 HuntersMoon

about 23 hours ago
In response to "Pursuit"

Happiness is reading your ramblings daily. True happiness is posting a snarky response.

3 Like

Robert Waltz

Nov 20, 2024 at 2:54pm
In response to "Powers of Three"

🌕 HuntersMoon

- that's pretty much what quantum computing is, from what I've read.

2 Like

Brandiwyn🎶

Nov 20, 2024 at 2:32pm
In response to "Losing Weight Is Easy"

Wordsmitty ✍️

1 Like

🌕 HuntersMoon

Nov 20, 2024 at 1:20pm
In response to "Powers of Three"

With binary, it's either on or off. Wouldn't ternary introduce Schodenger's Cat? On, off, or both?

2 Like

Turkey DrumStik

Nov 19, 2024 at 7:43pm
In response to "Paramount Purpose"

I suspect old web filter attempts

would have combusted when confronted with this article.

1 Like

tj-turkey-jobble-jobble-hard-J

Nov 19, 2024 at 4:04pm
In response to "Losing Weight Is Easy"

Some of them break out in hives if you ask them to add 10% to something.

Yesterday I purchased an item that cost $6.42 after tax was affixed by the register. I handed the cashier a ten dollar bill and watched as she placed it in the cash register, which like most now days, showed her how much change to return. She had to try three times to count out the proper amount, and as I was leaving commented to the bagger, "Why do people have to pay with cash, don't they know how hard it makes my job?"

I didn't say anything, but was trying desperately not to break out in hysterical laughter.

1 Like

🌕 HuntersMoon

Nov 19, 2024 at 9:28am
In response to "Paramount Purpose"

At your age, Bob, take heart in the fact that it can be restored...

2 Like

Wordsmitty ✍️

Nov 18, 2024 at 12:34pm
In response to "Losing Weight Is Easy"

This brings up the old question of whether your weight changes when you inhale a helium balloon to make your voice higher.

Maybe this has to do with the difference of a mug of beer vs a tankard of ale.

The universe has so many weighty/massive questions.

3 Like

Brandiwyn🎶

Nov 18, 2024 at 11:27am
In response to "That's the Spirit"

Maybe you’d go with “Thunder” because that one’s so terrible that only divine intervention can explain its success. Wow. Missed opportunity, here. How could you let this go without a shoutout to mighty Thor, son of the Allfather, wielder of Mjolnir, He with the Long Forehead? (Said in the voice of the Soup Nazi): "No Valhalla for YOU!"

November 24, 2024 at 9:37am

#1080425

Revisited: "Plus Ça Change..."

My dip into the past this morning takes me all the way back to January of 2022, when I was cold and disease raged across the land. So, not much different from today: "Plus Ça Change..."

In it, I responded to a then-current prompt from "JAFBG"

[XGC], which is still active and other bloggers should totally check out the active prompts.

The prompt was: "Imagine the pandemic never happened. How do you think your life would be different now, if at all?"

Most of us have forgotten all about it, apparently.

...okay, look, I'd like to say that the only thing that would be different is that I wouldn't have canceled my gym membership. But let's be real: I still would have canceled my gym membership. Eventually. Because I'm lazy.

I still haven't re-enrolled. Laziness is my only excuse there. There was a long stretch, before everything went to hell, when I was going there every day. I can't say I miss it, only that I feel like I could benefit from going back.

Before the pandemic, I was going out only rarely, ordering delivery groceries, and buying most of my shit from Amazon. Now, I go out only rarely, order delivery groceries, and buy most of my shit from Amazon.

I just placed a grocery delivery order today, and I'm expecting a package from Amazon later. I thought about weaning myself off that site, but... nah.

I will continue to wear this mask in public, regardless of what diseases may or may not be circulating.

Yeah, I need to stop making promises.

I probably would have traveled more, but even that would have led to me being, right now, sitting here at home wishing winter would end already because fuck, I've had it with winter.

You know how stores keep stocking holiday items earlier and earlier every year? Well, "I've had it with winter" is now my default state, year-round.

Hm. One thing that might be different. I might not be so completely, utterly done with approximately half of the population of the US.

Even if that had been the case, I'd be completely and utterly done now.

I might still have some tiny thread of hope for the future.

Let's see... nope. All gone.

2 Like • Comment

© 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/11-24-2024