Search where?

This Portfolio (cathartes02)

All of Writing.Com

◄ September ► 2023
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

Monday, Nov. 18, 2024

2:18am EST

Members: 727

Guests: 1,605

Total Online: 2,332

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 10 hours ago
In response to "Revisited: "A Frank Discussion""

I became disgruntled with meat sold in local grocery stores; half the weight is water, the taste is bland, and it's "use by" date is usually one day away. I found a small town butcher/locker plant that sells locally raised meats and buy in bulk so it's actually fresher, cheaper, and better tasting. Recently, I decided to try my hand at making our own sausage as well. It's a bit of work, but I think it's worth the trouble.

1 Like

Turkey DrumStik

a day ago
In response to "Barley There"

And approximately 15 seconds later, someone's going to screech about genetically engineered crops.

That would be me...screeching for more genetically engineered crops.

Write_Mikey_Write!

Nov 14, 2024 at 2:04pm
In response to "Global Domination"

A little girl wearing a Hello Kitty shirt in Middle-of-Nowhere, Siberia will certainly make you wonder how it got there. My grandson has a souvenir t-shirt with a Terex 33-19 "Titan" on it. When it was built in 1973, the Titan was the largest, highest payload capacity truck ever built, a title it held for 25 years. The thing is, the truck on that t-shirt is on display in Sparwood, BC, Canada - over 1000 miles from here, and his mom got the shirt at a local thrift store. Makes me wonder.

Oh, yeah - I thought 'Schrödinger's Hello Kitty' was funny, too.

1 Like

Adherennium Plotting something

Nov 14, 2024 at 12:10pm
In response to "Global Domination"

For whatever warped reason, 'Schrödinger's Hello Kitty' has tickled my funny bone.

3 Like

Brandiwyn🎶

Nov 12, 2024 at 10:50am
In response to "Blond Man's Bluff"

That's interesting about the two spellings of blonde. I always thought blonde referred to the person and blond referred to the hair. But I never bothered to look it up, So you've catered to my lazy today.

3 Like

Kåre เลียม Enga

Nov 9, 2024 at 1:02pm
In response to "It Was a Dark and Starry Night"

Ah... but why did he see those swirls when many of us don't? A totally different discussion... out of thin air... which is a frozen fog today when I gaze out the window.

Humans have great skills of observation; some of us extraordinary skills. Is The Scream depictive or evocative? 😱

Turkey DrumStik

Nov 9, 2024 at 11:04am
In response to "It Was a Dark and Starry Night"

Frankly, I'm more surprised to see reasonably good reporting from CNN. I'd given up on their ability to rein in their tendency toward loaded speech.

2 Like

JayNaNoOhNo

Nov 8, 2024 at 12:00pm
In response to "Bungalow Bash"

For the love of God, what did I just read? That is by far the worst use case of a bungalow I've ever seen, and a fundamental misunderstanding of the value of front porches—and the size of bungalows.

Was this his point? Nope, I know what his point was. For a guy so worried about presentation, he certainly undercut his own arguement.

1 Like

Turkey DrumStik

Nov 8, 2024 at 9:47am
In response to "Bungalow Bash"

"People don't change their minds on the internet. They usually do that in books, battlefields, or not at all.

Yeah, that's a little bleak."

Bleak and also inaccurate.

1 Like

Kåre เลียม Enga

Nov 7, 2024 at 10:19pm
In response to "Past and Future Intents"

I must live in the present. In the past I daydreamed a lot... probably to escape the bruises of reality; however, I need to be more aware crossing streets or even how I get out of bed (no rapid movements without thinking of consequences).

I can envision a future more peaceful than the present because this time-and-place isn't the only "present" that's ever existed, and I do try to see the larger view (emphasis on 'try').

1 Like

September 20, 2023 at 8:36am

#1055978

Labor Saving... Not

I fail to see how this is better.

Save money by making your own dishwasher tablets
Keep ’em clean, keep ’em shiny.

We may earn revenue from the products available on this page...

Popular Science used to be a credible publication.

Washing dishes is awful.

Well, sure; any chore is. But I can name a whole lot worse.

Thankfully, a woman named Josephine Cochrane, who was really concerned about her fancy china getting chipped while being hand-washed, stepped up and invented the first dishwasher.

Yes, I've referenced her before, here: "Pretty Petty"

. I would like to reiterate that she invented it so she wouldn't have to do the dishes herself because her servants were incompetent. Presumably, she'd chip the china too, and then who was she going to blame? Eh, probably the servants, anyway.

Now, other than the brainpower and Tetris skill you need to load the machine, you’ve only got to put some detergent in the soap compartment and press “start.”

Brainpower? Tetris skill? I like a good hyperbole, but it's really not that difficult.

Sure, Cochrane’s invention saves you time, but you still have to buy detergent.

The horror.

Make your own dishwasher tablets, though, and you’ll save some money.

The draw of a dishwasher is that it saves you time. It lets you be lazy, or at least concentrate on working on something else, if you're one of those weirdos who has to be productive all the time. Making your own dishwasher tablets defeats the purpose, much as making pancake batter from scratch defeats the purpose of buying frozen microwavable pancakes.

It’s easy...

Having read the instructions, no, it's not.

...makes cleaning up a bit more exciting...

A number can be less negative, but still negative.

and will leave your most likely not-so-fancy china shiny and smelling of fresh lemon…

Yep, that's the goal: have your plates and silverware, with which you're going to eat, smelling like fruit or flowers. Not.

Time: 20 minutes (with a minimum 24-hour drying period)

In my experience, you have to triple the time (at least) of any recipe, food or not.

Material cost: $27 ($5.40 per batch—or $0.14 per pod)

Similarly, the given cost is always underestimated.

Difficulty: easy

Lie.

So, the rest of the article is the actual recipe, presented in the same style as food recipes. I'll give them this, though: the intro wasn't 20 pages long, though some of the steps have meta-information to make up for the brevity of the intro.

Considering that it's finicky, and involves a lot of cleanup in itself (all the equipment needed, plus the inevitable powder spills on your counter), I'm not convinced you're saving anything. You get bragging rights, maybe, but doing all that work defeats the purpose of having a dishwasher in the first place.

At least they seem to have gotten the science right, which, considering the source, is a bare minimum.

7 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/9-20-2023