Complex Numbers (Book)

Blog Calendar

◄ June ► 2019
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!

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.

June 6, 2019 at 12:18am

#960251

Tourons

Well, for once I'm actually tired and about to crash, and as of this moment I haven't seen a 30DBC prompt.

But hey, I can continue the theme of "vacations" on my own!

https://www.theatlantic.com/ideas/archive/2019/06/crowds-tourists-are-ruining-po...

Too Many People Want to Travel

Massive crowds are causing environmental degradation, dangerous conditions, and the immiseration and pricing-out of locals.

I'll give 'em bonus points for using the word "immiseration," a rare word that doesn't mean anything like "the act of becoming more miserable;" for example, getting dragged to Disney World by your kids. Though Disney World can certainly cause immiseration, which the dictionary I looked at (online) defines as "economic impoverishment." I guess it's more closely related to "miser" than to "misery," though those two words come from the same source... shut up, Waltz, and get to the point.

I have a friend who until recently lived on Maui. This was cool because it meant I got to visit Maui and stay for cheap. The room was the only thing that was cheap; everything else is pricier than a hooker at a priest convention. Even the supermarkets. Fun fact: You know how you can get a supermarket card, and the card can be used to access certain discounts at the market? At one point I had like 10 of these, until a Wegmans opened up in my neighborhood, at which point I quit shopping everywhere else. Anyway, point is, in order to get one of those cards for a supermarket in Hawai'i, apparently you have to show proof of residence. Tourists get to pay full price.

This is actually ingrained in island culture. They call it kama'aina (my apologies if I got that spelling wrong). It's the practice of giving breaks to locals in the tourist-heavy Hawaiian economic zone. Without it, there wouldn't be locals to do all the work for the freakin' tourists, and the whole system would collapse. Which would make some Hawaiians quite happy, I suppose.

Okay, back to the article.

If tourism is a capitalist phenomenon, overtourism is its demented late-capitalist cousin: selfie-stick deaths, all-you-can-eat ships docking at historic ports, stag nights that end in property crimes, the live-streaming of the ruination of fragile natural habitats, et cetera.

I have a modest proposal as regards "selfie-stick deaths:" Do nothing. It's a self-correcting problem that requires no action whatsoever, especially since even with my effectively nonexistent Photoshop skills, I could easily take an ordinary photo and then pop my own ugly mug into it, thus recreating the spirit of a selfie without having to lean halfway out over the Grand Canyon to do so. Guys, we have the story of Narcissus for a reason. I guarantee you if Narcissus had a mobile phone, it would be filled with selfies, with the last one being of his screaming face as he fell off the Acropolis or whateverthefuck.

I'd pay to see that, actually.

As for those other things: Stop it. You're embarrassing actual functioning humans.

3 Like • Comment • View 3 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.