Complex Numbers (Book)

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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/

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Write_Mikey_Write!

a day 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

a day 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').

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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.

September 12, 2019 at 12:01am

#966039

Write and Wrong

PROMPT September 12th

Today’s prompt is from WakeUpAndLive~doingNaNo'24

!

Have you ever taken writing classes or writing workshops? Here or anywhere else? What are your thoughts on taking them?

Some years ago, through UVA Continuing Education, I attended a writing workshop.

Big mistake. See, UVA, at least at the time, was considered to possess one of the top English departments in the country. I figured, okay, let's check this out and see what it's about. I mean, I'd taken a fiction writing class when I was an undergrad there, and I think I learned stuff. Didn't remember much, though, because my focus was engineering; this was an outside elective. So a refresher was in order, I thought. But the problem with being the best (or even one of the best in a crowded field) English department is that you succumb to the arrant pretentiousness of the "literary" genre.

It was hell. I only made it about halfway. I want to write for readers, not for professors of literature. In a small town with at least two best-selling authors, you'd think they'd know better, but nope.

At least I did learn something: stay the fuck away from lit-snobs.

I did hang out with a local writers' group once. I lasted until the organizer insisted that Moby Dick was worth reading, and then I left because I know better. From Hell's heart I stab at thee!

I've also attended workshops at SF/Fantasy conventions, and those were much more in line with my own goals. But they were one-time things, not courses. There were also workshops at the WDC convention that I went to.

So, my thoughts? Well, just make sure that whatever the course, or workshop, is, is relevant to your interests - or at least have some idea that you can get something out of it. It wouldn't hurt for a science fiction writer to learn more about the mystery genre, for example, or vice versa. As I've said numerous times, there's no such thing as useless knowledge - but we only have a finite amount of time, here, and it's not a bad idea to avoid situations where you know you're not going to fit in, or to focus on the stuff that's more in line with what you want to do.

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