Complex Numbers (Book)

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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/

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10 Most Recent Blog Comments:

Brandiwyn🎶

a day ago
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.

Aiva Raine

Nov 5, 2024 at 3:03pm
In response to "It's Hard Not To Scare"

Shaking head. Aside from the inevitable Simpson's spider goat song playing in my head which I will now share with you below, whenever I come across a story that has all these scientists doing ridiculous experiments for no logical reason, I must go- ah- scientists- CANCER? You do remember that problem right? Can we maybe cure that before we make cockroaches magnetic and elephants see pink elephants?

spider pig clip- and if you all now are singing the spider goat song- you're welcome! grin
https://www.youtube.com/watch?v=BARjPuUN36Y

1 Like

Aiva Raine

Nov 5, 2024 at 2:55pm
In response to "Anomalies"

One of your more humorous entries- I especially enjoyed- "Lofoten Vortex can be the name of my Bjork cover band."

Thanks for the laughs. Much appreciated.

2 Like

October 15, 2020 at 12:02am

#995915

Desert Ships

Entry #7 of 8 for

Journalistic Intentions

(18+)
This is for the journal keeping types that come to PLAY! New round starts July 1!
#2213121 by Turkey DrumStik

Kissing Camels Surgery Center

Okay, this one I just had to do a search on.

Contrary to an impression I might have given, I haven't been everywhere. Hell, I haven't even been everywhere in the US.

The problem with travel, for me, is that I'm always torn between revisiting places I've enjoyed and experiencing new locales. That's one reason I employ a jolt of randomness in my road trips. This, by the way, is in addition to the problem of deciding between traveling and staying at home. The former is tiring and costs money; the latter can be boring.

Lately it's been all boring, no traveling.

Point is, I looked up what in Newton's name Kissing Camels is, and found that it's a thing near Colorado Springs,which is a place I haven't been to yet (I have, however, visited nearby Denver and environs). And no, it's not an adult version of a petting zoo, or anthropomorphic slash fiction.

Kissing Camels is an example of pareidolia.

Here's a link to a picture of it.

As far as I can tell (I also found numerous other photos of the same rock formation), that's not photoshopped. Oh, sure, it probably got color-balanced, cropped, contrast-enhanced, etc., but that's approximately what the rocks look like.

So, as is common in these sorts of things, there's a community nearby also called Kissing Camels, and apparently there's a surgery center there. BOR-ing.

I was hoping it had something to do with when they tried to wrangle camels out West.

Yes. That was a thing. Someone presumably looked around at the Mojave Desert, scratched his head, looked at his horse, looked back at the vast barren wasteland, and then back at his horse, which in his mind turned into a camel, because camels live in the desert, while horses, well, not so much.

Then (in my headcanon), his eyeballs became large dollar signs as he realized that he could make a humpload of money by importing camels from a different desert, and immediately set off to Arabia or Egypt or some such.

Well, no, that's not how it happened at all. It was more of an Army thing. They wanted to adopt the use of camels as beasts of burden in the Southwest, but for various reasons it didn't work out.

So did they return the camels to Egypt or whatever? Oh, no. Not at all. This is America, dammit. They kissed the camels goodbye and the stubborn sand llamas eventually died out.

Or did they? Spend a night in the desert soutwest. Listen very carefully. Look, up on that ridge! Is that a hump, or... ?

The desert is huge, and habitation there is sparse. I like to think that a few survived, bred, and are sitting in the shade of a rock somewhere, plotting their revenge.

After all, "camel invasion" would not be the weirdest thing to happen to us in 2020.

Don't believe me about the camels?

4 Like • Comment • View 5 comments

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