Complex Numbers (Book)

Blog Calendar

◄ May ► 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 13 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 15 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.

May 2, 2020 at 12:05am

#982538

Super Genius

Some prompts are easier than others. This is not one of those.

PROMPT May 2nd

What one fictional character would most like to meet and talk to? Why? What would you like to ask?

Lara Croft, because she's smart and hot, and "Can I raid your tomb?"

On second thought, I'd rather not have my final words be a cheesy pickup line, so let's pick someone else.

That's right. Wile E. Coyote is the one fictional character I would most like to meet and talk to.

The reason is simple: I want the answers to a few questions. I imagine the meeting would go something like this (you'll have to imagine him holding up signs for his part of the conversation):

"Hey, Wile."

"Hey, Waltz."

"Wile... why?"

"Why what?"

"Well, you're a bit like Sisyphus, aren't you? Always chasing that Road Runner, and always failing, and yet you keep trying."

He shrugs. "I'm hungry."

"I get that, but, you know, why not, I dunno... scavenge?"

"But I'm specifically hungry for Road Runner."

"Look, this pursuit clearly isn't working out for you."

"I suppose I'm also teaching kids an important lesson."

"Yeah, I learned it long ago."

"And what exactly did you learn, Waltz?"

"I learned to never pursue your goals, because not only will you be disappointed, but the methods you use in pursuing your goals will inevitably leave you worse off than you were before."

He blinks. "That's... that's very Buddhist, you know."

"I suppose."

"And wrong."

"Look, mutt, you're the one setting yourself up to be a bad example, here. I learned how to do that from you, too."

"You were supposed to learn that you should always follow your dreams, even if you fail the first time."

"Well, Wile, that's just idiotic. Better to reduce your expectations and be realistic about your own limitations. And above all, avoid getting blown up or flattened at the bottom of a cliff. Besides, what's the goal, here? You want to devour an autonomous living creature whose only crime is being delicious."

"He's also way too smug."

"Okay, you have a point, there."

"Anyway, I gotta go. I'm expecting a delivery from Acmezon, and I wanna get back to my lair before Sylvester does his porch-pirate thing."

"Good talk, Wile."

"See ya, Waltz."

Aaaaand that's all, folks.

7 Like • Comment • View 10 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.