Complex Numbers (Book)

Blog Calendar

◄ December ► 2020
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

About This Author

Contact Me

Come closer.

Complex Numbers

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:

Brandiwyn🎶

a day ago
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

Lilli 🧿 ☕

Nov 7, 2024 at 10:58am
In response to "Past and Future Intents"

If the aforementioned exercises don't help; there's still liquor.

3 Like

Turkey DrumStik

Nov 6, 2024 at 10:22am
In response to "Lo!"

Not gonna lie I need the holiday season chatter.

Aiva Raine

Nov 5, 2024 at 3:03pm
In response to "It's Hard Not To Scare"

Shaking head. Aside from the inevitable Simpson's spider goat song playing in my head which I will now share with you below, whenever I come across a story that has all these scientists doing ridiculous experiments for no logical reason, I must go- ah- scientists- CANCER? You do remember that problem right? Can we maybe cure that before we make cockroaches magnetic and elephants see pink elephants?

spider pig clip- and if you all now are singing the spider goat song- you're welcome! grin
https://www.youtube.com/watch?v=BARjPuUN36Y

1 Like

Aiva Raine

Nov 5, 2024 at 2:55pm
In response to "Anomalies"

One of your more humorous entries- I especially enjoyed- "Lofoten Vortex can be the name of my Bjork cover band."

Thanks for the laughs. Much appreciated.

2 Like

December 7, 2020 at 12:01am

#999783

Adventure Capitalism

"30-Day Blogging Challenge ON HIATUS" [13+]:
7. Letter Writing Day
Write a letter to one of your favorite characters.
Which book and who's the author?

"JAFBG" [XGC]:
Each year, scalpers buy the most popular holiday gifts and sell them for triple what they paid for them. How do you feel about the practice of scalping?

"Write a letter?" Oh, sure, just let me get my inkwell, ink, goosefeather quill, parchment, and blotter and arrange them all upon my writing-desk, which resideth within my conservatory. Now where did I put that sealing-wax and my signet ring?

Speaking of which, when I was a kid, I was convinced it was meant to be ceiling-wax, and I didn't understand why one would want to wax a ceiling and what that had to do with correspondence.

Also when I was a kid, I had the worst handwriting in five states. If they'd had a "worst handwriting" competition, I'd have won. We had chickens for a while, and they scratched out more legible letters than I did.

Fortunately, we had typewriters, and then computers, and I got really good at touch-typing. I still couldn't sign my name as anything but a scrawl, though. So to really address the first prompt -- and to find a way to merge the two prompts -- I have to pick a character that's able to receive email. That leaves out fantasy characters. And it probably leaves out science fiction characters because I don't think any email I send will be around long enough to get to, say, Captain Kirk. Besides, like I said, it also has to address the scalping issue, so someone who can do something about those scum would be...

Ah. I've got it.

To: batman@batcave.org
From: cathartes02@writing.com
Subject: adventure capitalists

Hello, I hope all is well with you and the Joker hasn't killed another sidekick recently.

First of all, thank you for all that you do. You are an inspiration in your dedication to justice, your code of ethics, and your impeccable fashion sense. Also, wonderful toys. Well done.

I'm writing to you this evening with a fervent request. As you know, it's the holiday season, which means more petty crime, which I realize is usually beneath your notice as you're normally off chasing Catwoman (I don't blame you) or foiling the Penguin's plans. But there's an issue which affects families all over Gotham and beyond, and I believe that you are in a unique position to do something about it.

I'm speaking, of course, about scalpers: people who buy up all the most popular holiday items and then resell them for an obscene profit. Now, at first glance, I realize this is just an extension of capitalism: get there first, invest money in hopes of a high return, charge what people are willing to pay, give your employees minimum wage or less. And I also realize you got where you are now because of capitalism (yes, I know who you are, Mr. W.). But even you have to admit that charging poor families double or triple the market price is in, at the very least, poor taste.

So, at the very least, maybe keep an eye out for these scalpers. Swoop down on top of their sleazy vans or whatever, and then when they look up, just glare at them. Maybe say "I'm Batman." That usually scares them off. Then you can do the Santa thing and redistribute the wealth to the p- oh, wait, that's communism. Don't do that. Return the products to the store and make the people buy them at retail, then.

Of course, scalping wouldn't work if people weren't willing to pay more than the retail price. You probably own some of the companies making the popular items, so this is also an opportunity for you: jack up the prices, because clearly the market can bear it, and who knows? You might make enough extra money to be able to replace Robin with a robot next time, so you won't be as broken up when the Joker does what the Joker does. Oh, and since it was my idea, I'd appreciate a commission. Say, 20% of the net?

Above all, have a batty holiday season! Oh, and if you could give me Catwoman's mobile number, that'd be great, thanks.

Regards,
Waltz

8 Like • Comment • View 8 comments

© Copyright 2024 Robert Waltz (UN: cathartes02 at Writing.Com). All rights reserved.
Robert Waltz has granted InkSpot.Com, its affiliates and its syndicates non-exclusive rights to display this work.