Complex Numbers (Book)

Blog Calendar

◄ March ► 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:

Write_Mikey_Write!

about 16 hours ago
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

about 18 hours ago
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

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.

March 15, 2020 at 12:32am

#978140

Grouch

Entry 4 of 8 for

Journalistic Intentions

[18+]
This is for the journal keeping types that come to PLAY! New round starts July 1!
by Turkey DrumStik

Admission time

I, a lifelong comic book fan; I, an enthusiastic follower of fantasy, science fiction and action movies; I, a firm believer in the power of cinema to bring to life the tropes originating in comics; I have not yet seen Joker.

One reason? Same reason I never saw Titanic. Too popular.

Another reason? Incels online like it way too much, and online incels are poison.

Yet another reason? Well, this third reason is kind of nuanced and I'll get in to it below.

And also I just couldn't be arsed to leave the house when it was in theaters. Of course now that there's a dread disease going around, NOW I want to leave the house and be social, because I'm contrary that way.

Third Reason

It's one thing to appreciate a movie villain as a foil for the protagonist. It's another thing entirely to turn the villain into the hero.

I know there's a lot of that going around these days, and to be fair, no one is perfectly good or perfectly evil (or at least they shouldn't be if you're telling a compelling story), but when you're telling a story specifically designed to make the audience relate to a mass murderer, I'm not sure I'm on board with that. Don't get me wrong; I'll see it eventually, because I see every comics-inspired movie eventually. And I may turn out to be completely misguided in my assessment; after all, I can't review a movie I haven't seen. But I did see Birds of Prey in the theater, and I feel the same way about turning Harley Quinn into a protagonist.

To summarize: apparently it's okay to make audiences relate to mass murderers in movies, but gods forbid you depict any character smoking a fucking cigarette; that would be BAD. Also, violence is just fine, but depict acts of love and you can't let CHILDREN see THAT.

ANYway

Don't let the above make you forget that I'm not much of a grouch; I do, actually, have a sense of humor, and that video was goddamned hilarious.

My comments on antagonists notwithstanding, I find the "dark and gritty" trends amusing, for the most part. I mean, Zack Snyder, whose movies I generally like, shouldn't have done that with Superman, but apart from that, hell, give me a dark, gritty remake of, say, Mister Rogers' Neighborhood and I'll watch the SHIT out of that.

"Hello, neighbor. You might have noticed the blood on my cardigan. That's because I was just the victim of a drive-by shooting. Can you say 'drive-by shooting?' I knew you could. Now I'm going to have to call Mr. Ambulance to come pick me up. It might be an hour before they get here because this is the ghetto, so meanwhile I... I... I don't think..." *thud*

Also, can I have an adult-themed drug-fueled dark remake of H.R. Pufnstuf

? Please and thank you.

Point being, if you're going to combine Sesame Street, Joker, and dark and/or gritty remakes, I'm all over that shit. Saturday Night Live has had its ups and downs over the years, but when it's up, it's spot on.

Now someone just needs to parody SNL itself and we'll have reached Peak Parody.

2 Like • Comment

© 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.