Search where?

This Portfolio (cathartes02)

All of Writing.Com

◄ January ► 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

Tuesday, Apr. 23, 2024

3:04pm EDT

Members: 979

Guests: 2,423

Total Online: 3,402

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:

Aennaytte: Free & Wild in GoT

less than a minute ago
In response to "Revisited: "Hack This""

In my last psychology class, we discussed the evolution of the brain. It is now settled science that we evolved to have not only larger, but also vastly more powerful brains than most other animals because we learned how to cook (process) our food.
Although we are only about 1/4 to 1/3 of a normal gorilla, we eat half of the calories in a day. Not only that, we prepare the food in a way that we get to use more of the calories that we ingest.
The result is that our brain takes up more space in our noggin than a gorilla brain takes up in his noggin. Not only that, each of our brain cells is smaller, so we can fit exponentially more of those into our head.

Now, using all that goodness ...

Aennaytte: Free & Wild in GoT

6 minutes ago
In response to "Hope for Hops"

Wait! Why are beer and coffee affected by climate change? That wasn't supposed to happen. All we had to do was have a boat by the side of the house for when the sea levels rise and beg our property insurance to cover fire damage. How are we supposed to remember all of that if we don't get coffee to wake us up in the morning so that we can think and beer at night to dull our sense of doom?

Aennaytte: Free & Wild in GoT

9 minutes ago
In response to "Going to the Dogs"

I have never been to New York, but it seems that my assessment years ago that Berlin, Germany and New York have some similarities. Both cities are known for being inhabited by rude people. And both places, as I now found out, are dog obsessed. And they have high rents.
Berliners though, have a habit of letting their dogs run off leash. Maybe New York is a little better than Berlin in that regard.

1 Like

Robert Waltz

Apr 21, 2024 at 1:48pm
In response to "Revisited: "Hack This""

Wordsmitty ✍️, far be it from me to speculate on the motivations of space aliens, but why in Xenu's name would they do such a thing to the universe?

1 Like

Wordsmitty ✍️

Apr 21, 2024 at 1:39pm
In response to "Revisited: "Hack This""

I thought humans got bigger brains because extraterrestrials affected our evolution, and we eat processed chicken and eggs.

1 Like

Robert Waltz

Apr 21, 2024 at 10:22am
In response to "Revisited: "Hack This""

🌕 HuntersMoon, ah, yes, my favorite words to hear (or read).

Also, that video is an excellent, if brief, explanation of the conundrum and how to resolve it.

1 Like

🌕 HuntersMoon

Apr 21, 2024 at 10:15am
In response to "Revisited: "Hack This""

As sometimes happens, Bob... YOU'RE RIGHT

1 Like

Robert Waltz

Apr 21, 2024 at 9:41am
In response to "Revisited: "Hack This""

Elisa the Bunny Stik, just writing from personal experience; I don't claim to follow every source, and it wouldn't surprise me that you and other people have seen it more than I have. It may have some value to it, but it's still a fad, like low-fat was a fad in the 90s and gluten-free was later.

1 Like

Elisa the Bunny Stik

Apr 21, 2024 at 9:34am
In response to "Revisited: "Hack This""

"processing" has been better-defined, while at the same time I haven't seen much about it lately

Really? I've actually seen more coverage of this phenomenon in the last couple years. A Wired article and a Royal Institution talk are the first examples that spring to mind.

2 Like

Elisa the Bunny Stik

Apr 19, 2024 at 12:11pm
In response to "Mind the Menu"

"Maybe I'm in the minority here, but I assert there's nothing inherently wrong with nostalgia."

Given the rise of restorative nostalgia, I'm inclined to disagree (and yes, I think this distinction is necessary).

https://www.psychologytoday.com/us/blog/time-travelling-apollo/201606/the-t wo-faces-nostalgia

1 Like

January 6, 2021 at 4:04am

#1001532

For The Cause

PROMPT January 6th

Do you support any charitable organizations or causes through donations or volunteering? If so, what causes do you support? And if not, what would you support if you had the ability?

No. Not going to reveal that here. Not today.

I will, instead, list several things I will never willingly support under any circumstances.

The Salvation Army. Not only are they anti-freedom, but their people ring bells outside of grocery stores, and I want them to go away.

Any organization with the word "family" in their name. Without exception, these groups are Puritanical.

Religious causes. Although if a religious organization is doing actual helping work, I'd consider it.

Anyone with an overhead >10%. Though this rule is squishy, I want to make sure my donation is going to the cause, not the ad budget or organizer's private jet.

Any "children" charity. By which I mean any group where, when I'm buying something, the cashier asks me something like "Would you like to donate a dollar to X?" X in this case almost invariably has the word "children" in it, and all other such causes are tarnished by association. This may not be fair, but so be it. I will not put up with attempts to guilt me into giving spare change.

Spammers. Let's say I gave you $50 in 2001 because I thought your cause was justified. Over the course of the last 20 years, I have received 240 letters, 1,040 emails, and numerous phone calls / texts from you. The total cost of delivering said barrage of beg has far exceeded the $50 I gave you then, so you're not getting so much as a penny from me ever again.

Solicitors. Show up at my door? Fuck off forever.

Anyone that uses a baby animal (including human) image in their solicitation. Your emotional blackmail will not work on me and will, in fact, have the opposite effect.

All this, as you might imagine, leaves me with only a few options, but I am still reluctant to discuss them. I generally prefer to keep this sort of thing to myself, though get me drunk enough and I'll probably confess. I'm not drunk enough now (though it's not for lack of trying). It's just not anyone else's business. I know that's an odd thing to say after I've shared so many other things in here... but that's just the way it is.

7 Like • Comment • View 10 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/1-6-2021

Site Links:

Resources:

Need help?

Please post questions in
our support forum.

Places of Interest: Unique Wedding Invitations for unique wedding needs. Color Copiers found here.
Baby Names can be hard to pick. Hands-free hygenic toilet seats covers. Dramatic Music rocks.
Vampires are people too. Write Poetry here. Try this Stock Market quiz.
Teaching is a noble job. Get info on Tax Refunds.

All Writing.Com images are copyrighted and may not be copied / modified in any way.
All other brand names & trademarks are owned by their respective companies.

Generated in 0.63 seconds at 3:04pm on Apr 23, 2024 via server web2.