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Wednesday, Nov. 6, 2024

4:41pm EST

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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:

Turkey DrumStik

about 6 hours ago
In response to "Lo!"

Not gonna lie I need the holiday season chatter.

Aiva Raine

a day ago
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

a day ago
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

JayNaNoOhNo

a day ago
In response to "Anomalies"

*Toronto, Canada submits a sternly-worded petition and disputes the center of the universe claim.*

2 Like

tj-turkey-jobble-jobble-hard-J

a day ago
In response to "It's Hard Not To Scare"

Smarter mice? Just what we need!

1 Like

Wordsmitty ✍️

Nov 4, 2024 at 12:22pm
In response to "It's Hard Not To Scare"

"Friendly neighborhood spider-goat." Isn't Marvel working on that for release in '26. - "Yes, it's cute, MJ, but you shouldn't ..."

2 Like

tj-turkey-jobble-jobble-hard-J

Nov 3, 2024 at 3:52pm
In response to "Revisied: "Inevitable""

I can think of far more absurd ways to die, but most of them involve alcohol and maybe prostitutes... This statement reminded me of the passing of a friends grandfather; he died of a heart attack while intoxicated and with a prostitute, Viagra also aided in his heart failure.

2 Like

Turkey DrumStik

Nov 3, 2024 at 9:46am
In response to "She Said Spatchcock"

You can spatchcock, or butterfly, any bird.

That bit might only be funny if you're familiar with British slang.

It's really a pity that the British national team's mascot is a lion and not a rooster. Ironically, that's the French national team's mascot, which did make for a pretty good joke during the Olympics.

2 Like

Turkey DrumStik

Nov 3, 2024 at 9:31am
In response to "Cave In"

tj-turkey-jobble-jobble-hard-J

-Yeah, those instigators from Illinois and Texas would really degrade the standards of Hell.

2 Like

Turkey DrumStik

Nov 3, 2024 at 9:30am
In response to "Revisied: "Inevitable""

Though I clicked on it to check, I no longer follow that site and want nothing to do with them, which is why we haven't had any LitHub links in over a year.

Well, now my curiosity is piqued. What happened on this front?

2 Like

April 15, 2022 at 12:02am

#1030742

Getting Cabbaged

One of the many euphemisms we used for "drunk" (as an adjective) in college was "cabbaged."

I haven't used it in a long time, but today's article reminded me. The word also has the distinction of being the longest one I can think of that can be spelled with musical notes.

Grilled Cabbage "Steaks"

Admittedly, I'd have to be pretty cabbaged to make these, which would pretty much contraindicate the use of a grill for cooking. Or anything else, for that matter.

Okay, we know these are not quite grilled steaks made out of meat.

Not "quite?" They're not even in the same universe. But considering the price of dead bovine (and everything else) lately, alternatives may need to be considered.

I'm just not convinced that this should be one of them.

But whether or not you're vegetarian, these cruciferous "steaks" are potentially even better.

"Potentially" being the key word here. I wonder if they might steer us wrong?

(Bad cow pun)

Cabbage is a chameleon ingredient, good and good for you and affordable.

Econ 101: the more people buy cabbage, the less affordable it's going to be.

To make sure your cabbage steaks stay in one piece on the grill, pick the most compact head of cabbage when you're out shopping.

Or, if you're me, try to get the Instacart shopper to pick a compact head of cabbage. Don't be surprised when they don't.

All you need to make grilled cabbage steaks is cabbage, oil, salt. Everything else is optional, but it's the optional things that make life what it is.

Another "optional" thing is to try something else.

We top this grilled cabbage à la wedge salad with bacon, blue cheese, AND ranch dressing for good measure.

Thus negating any health benefits one might derive from cabbage. But with all of that, it sounds... well, not terrible, anyway. Still, if you're going to fake French for the "à la wedge salad" part, the least you could do would be to spell it "bleu cheese."

Other fantastic options would be a buffalo-style cabbage, a Caprese-style cabbage, or a lemon-garlic dressed grilled cabbage with lemon and garlic. You really can't go wrong!

Except that you already have.

The article, of course, goes on to provide the actual recipe. Which, in their defense, looks dead simple to prepare -- even easier than actual steak, assuming of course that you take the time to prepare a marinade for said steak like a civilized person instead of just flopping it from the package onto the grill like a barbarian. Which I've done, because when it comes to cooking, for me the operative word is "lazy."

In fact, the hardest part would seem to be actually slicing the head of cabbage, which I definitely don't recommend doing while cabbaged.

6 Like • Comment • View 4 comments

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