Search where?

This Portfolio (cathartes02)

All of Writing.Com

◄ May ► 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

Thursday, Apr. 25, 2024

7:05pm EDT

Members: 1,002

Guests: 6,719

Total Online: 7,721

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:

Kåre Enga in Udon Thani

about 16 hours ago
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

about 16 hours ago
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

about 16 hours ago
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

a day ago
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

Aennaytte: Free & Wild in GoT

Apr 23, 2024 at 3:14pm
In response to "That's Cole"

I knew and ate Kohlrabi before I ever heard of kale. Kohlrabi is so much better in every way.

That last quoted sentence is hilarious. I am glad that I wasn't bred to be a Brussels Sprout.

1 Like

Aennaytte: Free & Wild in GoT

Apr 23, 2024 at 3:11pm
In response to "Cash Stash"

The discussion of money is an interesting one. Remember the recent collapse of a few banks? I think it was about a year or so ago?
Yes, deposits were FDIC insured up to $250,000 per depositor. But some people and companies had more money in that bank than the FDIC was insuring.
I never followed up on what happened to those people. I don't run in circles of people who own that much cash.

My accounting professor took half a period to explain to us what happened and how the bank went from Silicone Valley darling to dead so fast.

He also told us that the value we give money is not backed by anything except our hope and faith that our economy will keep going.

We didn't discuss whether the value of money needed a lower income class of people.

1 Like

Aennaytte: Free & Wild in GoT

Apr 23, 2024 at 3:04pm
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 ...

1 Like

Aennaytte: Free & Wild in GoT

Apr 23, 2024 at 2:58pm
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?

May 26, 2021 at 12:39am

#1010781

Planet Plan-It

Thanks for all the comments and advice yesterday. Navigating the swampland of human interaction can be difficult for me, because I never bothered to buy hip waders, put on insect repellent, or learn which plants will mess me right up. I'd a whole lot rather talk about beer. And even ratherer than that, drink it.

Movie news: It looks like next month is Harrison Ford Month at the Alamo. Blade Runner, Raiders of the Lost Ark, The Fugitive, another Raiders movie... no Star Wars, but that's okay; I'm still sore over The Rise of Skywalker (even The Mandalorian didn't cure me of being sore about TRoS). And as for the new Raiders movie that's supposed to come out next year? Well, to quote Han Solo, I have a bad feeling about this.

Point being, there's plenty of movie opportunities coming up, and that's not counting any new releases. I'm planning to see Raya and the Last Dragon on Thursday, and and some point I'll have to do A Quiet Place II.

Again, I know that many movies don't require going to the theater, especially those classic Harrison Ford movies. I'm going anyway because I like the experience. I can eat at home, too; that doesn't mean I never want to go out to eat. At this theater, I can do both.

Hey look, a wild prompt appeared while I was typing this, so without further ado...

PROMPT May 26th

Make a list of your top five short term goals and a separate list of your top five long term goals. What steps will you take to achieve them?

Short-term Goals:

Let's see... did I mention five movies above? Raiders, Last Crusade, Fugitive, Blade Runner, and (one of these is not like the others) Raya. Yep. That's five.

Okay, that's probably cheating. Let's lump those all under movies.

1) Movies
2) Beer
3) A road trip
4) Fly to Belgium
5) Maybe fly back

1 and 2 are easy to achieve: walk to the drafthouse cinema, spend money. 3 is a little trickier because I need a block of time without commitments here, and that's tough to find in the next few weeks. 4 depends entirely on availability; last I heard, they were planning on letting vaccinated Americans in, but no time frame for that has been set. And if I can't go before the start of September, it'll be next year because -- and I cannot stress this enough -- I utterly despise the cold. Anyway, I'll have a chat with a travel agent who, presumably, knows more of the ins and outs of this sort of thing than the sometimes questionable information found on the internet.

5 is more aspirational. Just saying it'll probably be hard to leave. There's a lot of good beer there.

Long-term Goals:

At my age? HA!

1. Stay alive
2. ... that's about it, really.
3. Okay, travel to other places
4. Maybe write fiction again?
5. Take over the world and make it more fair and just, especially for me.

...yeah, obviously, these are mostly jokes so they don't get a real "what steps" treatment. The fiction writing thing could just as easily be a short-term goal, but I've been so focused on reading / viewing other peoples' fiction that I just haven't been doing my own lately. That's okay; I'm not all that worried about it. For now, doing daily blog entries and two newsletters a month is enough for me.

Really, though -- and you've probably already figured this out about me -- I'm not a very goal-oriented person. This is reflected in my random road trips; there's technically a destination, selected at random, but I give myself as much leeway as possible in getting there. On the road, as in life, for me it's more about the journey than the destination.

And sometimes I think that there is no destination; there is only the journey.

7 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/5-26-2021

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 1.37 seconds at 7:05pm on Apr 25, 2024 via server web2.