Complex Numbers (Book)

Blog Calendar

◄ November ► 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.

November 1, 2019 at 12:08am

#968734

Samhain Night

PROMPT November 1st

I’m sending this prompt in between princesses and spidermen begging at my door for free candy.

If you celebrate Halloween in your part of the world, what are your family’s traditions? What were the popular Halloween costumes in your childhood? Which candy was the most coveted?

Of course, when I was a kid, it was called Samhain and we'd load our pack asses with sacrificial chickens and make the week-long trek over muddy roads to the nearest henge.

Okay, fine, I'm exaggerating. The roads had some rocks on them.

I've lived in the same house for over 23 years now, which is longer than I lived in the house where I grew upspent my childhood. In that quarter of a century, we've had years where greedy, grubbing spooks have shown up for socialist handouts, and years where I got to eat all the candy myself.

This year I'm losing weight, so I didn't buy any candy. If I have to diet, so do the zombies, goddammit. Hey, at least I didn't print up a bunch of "The True Meaning Of Halloween" pamphlets to hand out to convert the little bastards to Paganism.

I'm absolutely boring when it comes to seasonal decorations. Other people on my street put up halfhearted carved gourds for Halloween or a few desultory lights for Yule, and maybe a limp flag for the Fourth of July. But that all seems like w*rk to me, and w*rk is something I go to a lot of trouble to avoid. Especially w*rk that has no functional purpose. Engineer, remember? If it doesn't hold something up or tie something down, it's not worth doing.

My ex liked to decorate, and sometimes I'd even help her in the interest of marital harmony. That worked out so well that she's my ex. So, my family's traditions (hey, my cats count) are to turn off the lights on Halloween evening, take a nap, and pretend to ignore the knocking and the sounds of splattered eggs and thrown toilet paper. This Halloween, though, I didn't have to bother: they issued a tornado watch, it rained, and the winds got up to 50 miles an hour, enough to blow trick-or-treaters right into the next county. So no beggars. Peace. Well, peace except for expecting a gust-blown tree limb to come crashing through my roof (spoiler: it didn't).

As for my childhood? I don't remember. I suppose the usual standbys: ghosts, vampires, cartoon witches. I can't say I remember any particular costume that I or my friends ever wore. Maybe my mom cut holes in a white sheet once in an attempt at a ghost but then thought better of the optics.

And then we come to the biggest advantage of having been an only child: I got to eat ALL the candy. Well, all except for the candy corn. I may not remember a single costume, but I distinctly remember the first time I stuck one of those disgusting lumps of earwax into my unsuspecting gobhole. I think I was four or five. "What the shitting fuck is this piss?" I believe were my exact words after I spit the abomination onto the good carpet. Even my dog wouldn't touch it. So, "which candy was the most coveted?" Anything that wasn't candy corn.

10 Like • Comment • View 13 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.