Complex Numbers (Book)

Blog Calendar

◄ April ► 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
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 3 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 4 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.

April 19, 2021 at 12:01am

#1008753

Just the Tip

Hey look, an actual article about writing.

How to Write a Novel, According to 10 Really Good Novelists
Take notes everywhere, embrace Wikipedia wormholes and other handy tips

A long, long time ago, back in the first lockdown, you probably told yourself that now – right this moment, in the middle of a pandemic – was the perfect time to conceive, plot, write, revise, rewrite, complete and publish a novel which completely transformed what we thought it was possible to express in the English language.

Nope, I said, "Hey, let's play video games and binge-watch TV shows." Also, "Hey, what would happen if I blogged every day around midnight?"

It wasn't. Obviously it wasn't. You know that now. But even if it turned out a year-long period of isolation and anxiety actually wasn't much good for your inner David Foster Wallace, there's no bad time to start writing.

Part of it is all we could think about was the pandemic, and what you think about is what you write. And I don't want to see one single goddamned story, book, movie, or TV show about the pandemic. The title "Love in the time of [insert disease here]" is completely played out, and as soon as I see something about two (or more) people falling in love while masking and social distancing, I am going to break something. I am also going to break something if it's a story about how lonely people are. I don't care. No. Do not want. Authors writing such tripe need to be sent to Gitmo.

While we're at it, I propose imprisonment for vertical video and a minimum of 10 years of hard labor for writing anything longer than flash fiction in the present tense.

To help you along, we asked 10 established and emerging writers for the rules of thumb they use to find ideas, to get words onto the page, and to turn an interesting first draft into something more substantial.

And you know, I'm just going to leave this here because I'm wiped. No, it's not the second vaccine shot; I'm over that. It's that I managed to score a bottle of rare, artisanal, small-batch gin from Utah (don't ask). (No, really, don't ask.) It's very, very good gin. The downside of it is that I can't be arsed to comment on the tips. I will say I do some of them already, I might try others, but what works for that editor won't necessarily work for me, and what works for me won't necessarily work for you.

So if you're writing a book, or thinking of writing one, I guess you'll just have to click on the link. I'mma go pass out.

7 Like • Comment • View 5 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.