Search where?

This Portfolio (cathartes02)

All of Writing.Com

◄ May ►
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

Sunday, Dec. 22, 2024

4:36am EST

Members: 694

Guests: 3,075

Total Online: 3,769

Complex Numbers

by Waltz Invictus

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:

Annette

about 17 hours ago
In response to "Neutral Zone"

It made me happy that I was able to like it. I take the small victories.

1 Like

tj-Merry Mischief Maker

a day ago
In response to "To Err Is Human"

Right from the beginning I find myself asking, "How many times can anything go extinct?" On a side note, the other day while shopping I saw a neanderthal in the produce section. He was trying to fit in with modern clothes, but it was pretty obvious he was a neanderthal.

1 Like

Annette

a day ago
In response to "To Err Is Human"

Comments work.

"Like" button sends me this message:

Access Restricted

This is a private area. Access has been restricted and you may not view it under its current settings. If you feel you should have access, please contact the area's owner and request access.

Note: To contact a member via email, click the small envelope icon to the right of their handle. You must be logged into your account to send an email.

2 Like

Annette

a day ago
In response to "To Err Is Human"

Can I leave this comment?

Wordsmitty ✍️

Dec 19, 2024 at 9:03pm
In response to "Five Seconds"

Way, way back when I was little, it was a three second rule that I remember. Sometime since it was upped to five seconds because of all the chemical preservatives that are pumped into everything now.

1 Like

tj-Merry Mischief Maker

Dec 19, 2024 at 3:43pm
In response to "Five Seconds"

I also ate carrots right out of the garden growing up, I also picked and ate fruits and berries growing in the wild without washing. I do remember food dropped on the floor was either rinsed off and then eaten, or if it was something not easily rinsed, like buttered toast buttered side down, we gave it to the dog.

In our house, there's not a five second rule; unless it's something dogs can't eat, it's whichever one gets it first.

2 Like

🌖 HuntersMoon

Dec 19, 2024 at 8:53am
In response to "Five Seconds"

2 Like

Aiva Raine

Dec 17, 2024 at 7:39pm
In response to "Need for Speed"

Even with the actual explanation- it still left me going- sooooo what's the difference between the special expensive "speed tape" they use for "temporary fixes" and duct tape? LOL- sure sounds like duct tape to me and they are using it for exactly the same reasons you would use duct tape. I'm guessing that the only difference between it and duct tape is the "speed tape" is slightly stronger and handles temperature differences better. It still comes down holding the plane together with tape which doesn't exactly fill me with confidence. Especially if it's a Boeing plane.

1 Like

tj-Merry Mischief Maker

Dec 17, 2024 at 6:14pm
In response to "Need for Speed"

I suppose they call it speed tape to keep people calm. If they called it what it is, temporary repair tape, they may lose passengers.

2 Like

Waltz Invictus

Dec 17, 2024 at 9:43am
In response to "Need for Speed"

Ichabod Crane-- Mince Pie

, I've heard that speed tape is extremely expensive. I can only assume the maintenance guys at Delta got a five-finger discount. But if you're going to steal from work, might as well go big and not just lift a box of paper clips.

1 Like

May 9, 2024 at 10:00am

#1070769

Super Stew?

I've done entries about categorization problems before. Is it a sea or a lake? A dwarf planet or a planet? A hill or a mountain? Is a hot dog a sandwich or a taco, or is it just a hot dog? Well, here's one that I've wondered about for a long time, yanked from the website at Country Living.

Stew vs. Soup: Everything You Need to Know
They're both served in a pot—so what's the story?

Served in a pot? Maybe in your country. In my country, they're cooked in a pot and served in bowls.

The article is from January of 2020, but surely nothing's changed since then.

When it's cold outside or you're not feeling well—no matter the time of year—there's nothing more comforting than a hearty soup recipe or a slow cooker stew recipe.

Sure there is: the actual soup or stew, preferably made by someone else because it's cold outside and I'm not feeling well.

On that we can agree—but when you break it down, do you really know the difference between stew and soup?

No, but I guess you're about to tell me. Incidentally, I don't really care; I only care that it tastes good.

The main difference is the amount of liquid that's used for each. In a soup, the ingredients will generally be completely submerged in liquid, while in stews, they're just barely covered.

Okay, but what about when you have ingredients that float? Carrots, e.g., or pasta. You look at it, it's only partly submerged. Like the iceberg, not like the Titanic.

The main component of a soup is the liquid. Soups can be brothy (think: a timeless chicken noodle soup), puréed (classic tomato purée soup), or creamy (potato cheddar soup, anyone?).

I'm not reproducing the links here, but I'm starting to think this "article" is just meant to promote their recipes.

Oh, and to further complicate matters, there are other names for soups. Bisque, a subcategory of creamy soup. Chowder, same. Pho, which I maintain stretches the definition of soup, because it cannot be eaten with a spoon alone unless you have superpowers.

Soups are generally easy and fast to make—some can be made in as little as 20 minutes!

20 minutes? To source all the ingredients, prep them, fumble around with cookware, etc.? Hell, if your batch of soup is voluminous enough, it'll take 20 minutes just to bring it to a boil before you turn it down to a simmer.

On the other hand, I've made soup in 3 minutes: 1) Open a can of Campbell's 2) Mix it with a can full of water 3) Nuke for 2 minutes.

The general rule is that no ingredient should be larger than a soup spoon.

See, that's a tough rule for pedants like me. First, define "soup spoon." After that, consider ramen. Each ramen noodle is, well, a noodle. Even if it were possible to fish out the noodles one by one, bits of them would hang over the sides of the spoon, making it larger than a soup spoon. Sure, if you got it all coiled up, an individual noodle could maybe fit in one spoon, but who does that?

Also see: French onion soup.

Stew tends to be more complex and takes longer to cook than soup.

Betting we could find counterexamples if we tried.

Unlike soups, which rely mostly on water or stock as the main liquid, stews can contain beer, cider, or wine for additional flavor.

I put brandy in my French onion soup.

But. The end of the article addresses a long-standing question, one of great import and whose definitive answer could change the world.

Is chili considered a soup or a stew?

Still, I don't care; I consider it delicious.

4 Like • Comment • View 2 comments

© Copyright 2024 Waltz Invictus (UN: cathartes02 at Writing.Com). All rights reserved.
Waltz Invictus 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/5-9-2024