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Complex Numbers

by Robert Waltz

Rated: 18+ · Book · Personal · #1196512

Not for the faint of art.

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!

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').

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.

November 6, 2021 at 12:04am

#1020958

A Productive Day

Explore the limits of employee productivity.

PROMPT November 6^th

You work alone from home, logged on to your work PC. One day you log on, and start your routine. You look at the clock on your desktop and eight hours have passed, but you have no memory of getting any tasks done. Tell us what might have happened to you during those eight hours.

In today's work-from-home economy, nothing terrifies managers more than not knowing what their subordinates are doing at every moment. And for good reason: employees tend to have irrelevant attributes such as families, interests outside of work, and minds of their own.

You've probably implemented some solutions to this problem already: keystroke loggers, active surveillance, resource verification... all of these productivity tools, and more, have been essential to ensure that your lowest-level employees are sitting down in front of the computer and working from nine to five — and beyond. Your shareholders demand nothing less.

But even the most dedicated, productive employees suffer from an essential flaw: they are under their own control. No matter how much they try to focus on the task at hand, you can never know if they are thinking about work, as they are paid to do, or if their mind is wandering to thoughts of their kids, their pets, their health, or what they plan to do with their authorized two hours of weekend free time. Or, worst of all, if they are using company time to search for a job with a different organization.

Enter iProd.

iProd is a custom-designed, all-inclusive software package that takes over an employee's autonomous nervous system through the use of MesmerEyes, our advanced, proprietary, custom-made hypnosis software that works through existing computer screens and webcams.

From the moment they log on to their work computer in the morning to the moment you allow them to leave work — if ever — you have complete control over their thoughts, their words, and their actions, ensuring that never again will they daydream, take an unnecessary restroom break, have a nap, spend too long cooking and/or eating lunch, or think about anything except their assigned tasks.

Utilizing the latest advances in productivity technology, iProd ensures that work gets done faster, smarter, and distraction-free. Best of all, your employees won't even remember their activities — nor will they have to; iProd integrates the latest in event recording and time-management solutions, so there's no need for them to fill out productivity-sapping timesheets.

iProd: Guaranteed to create value for shareholders. Sign up for our free 7-day trial today!

11 Like • Comment • View 11 comments

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