Complex Numbers (Book)

Blog Calendar

◄ January ► 2022
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 6 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 8 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.

January 13, 2022 at 12:02am

#1024583

No One Wants To Work (Especially Me)

Well, this "JAFBG"

[XGC] prompt was going to come up sometime.

Tell us about something/someone that fucked you off this week.

My city.

I can't say it was specifically this week. It's more of an ongoing thing.

First, a bit of background that's probably necessary for understanding:

Like many cities, mine has a recycling program. Whether the items that go into recycling are actually recycled or not is an open question, but that falls into the category of Not My Problem. Recycling is free (or paid for by taxes or whatever; the point is that we don't pay per pickup for recycling). Other waste (which I will refer to herein as Garbage to distinguish it from Recycling) is paid for through an annual fee and/or a per-pickup tag.

Garbage is picked up every week. Recycling is picked up every other week, by a different truck. In my neighborhood, we put the bins out on Monday evening for a Tuesday pickup, then we have to take the bins back from the curb by Tuesday evening.

I told you about the shitty sn*wstorm we had here last week. That was on Monday morning. I dutifully lugged the bins to the curb despite the sn*w. I didn't really expect the pickup to happen on Tuesday, because of the heaps of frozen slush, but just in case, there they were. Tuesday came and went. No pickup. Well, I'm not schlepping that shit back through the sn*w; probably it would happen Wednesday.

Wednesday goes by. No pickup. Most of the sn*w melted from the roads and yard.

I leave that crap out there (as do the neighbors) all week. No pickup. There's a Garbage bin, a Recycling bin, and several cardboard boxes filled with overflow recycling because I buy all kinds of shit online because I don't give a damn and it's not like I can go to stores right now.

The following Monday (this week, which makes this all fit the prompt), the garbage pickup happened. The recycling continues to sit by the curb. Getting soggy. There's no way in hell I'm dragging all of that back up to my house. I mean, it's only 25 feet, but now the yard is filled with fallen branches because sn*wstorm.

They're not going to pick it up this week. The next scheduled recycling pickup is this coming Tuesday.

Guess what's predicted to happen Sunday. Go ahead. Take a wild-ass guess.

You're right: a blizzard.

Well. A Virginia blizzard, which translates to "flurries" from the perspective of my friends in Minnesota, Michigan and Canada. Predictions are for a foot of sn*w. Or maybe mixed sn*w and ice. Or maybe rain and sn*w. Whatever, the point is, I'd bet $100 (the approximate annual price of an annual garbage can sticker) that the trucks won't make it here next Tuesday either, because this is Virginia and if there's a foot of sn*w, it might as well be twenty for all anyone can move on the roads. Meanwhile, I have another two weeks' worth of recycling ready to go to the curb. And to the curb it will go: on Saturday, before the oncoming storm, because there's no way in frozen hell I'm going to try to drag it through a foot of sn*w on Monday.

And if they don't pick it up, it will continue to sit there, because I'm done. I did what I was supposed to do. They did not. They can try to give me shit about it if they want, but the bottom line is: if they don't want a bunch of soggy, falling-apart cardboard boxes filled with a mix of more cardboard, plastic, beer bottles, paper, more plastic, cans, and more beer bottles, any one of which could fall apart at any moment, and which will soon be also weighed down by sn*w, sitting in the street, they can goddamned well pick it up themselves.

Not. My. Problem.

5 Like • Comment • View 7 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.