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Monday, Nov. 4, 2024

3:57pm 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:

Wordsmitty ✍️

about 4 hours ago
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 ..."

tj-turkey-jobble-jobble-hard-J

a day ago
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

a day ago
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.

1 Like

Turkey DrumStik

a day ago
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

a day ago
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

🌕 HuntersMoon

a day ago
In response to "Revisied: "Inevitable""

Let's get real. Once you're dead, you really don't care do you...

2 Like

tj-turkey-jobble-jobble-hard-J

Nov 2, 2024 at 3:45pm
In response to "She Said Spatchcock"

Wading under a hot sun can also cause overcooked breasts and soggy thighs.

2 Like

🌕 HuntersMoon

Nov 2, 2024 at 10:30am
In response to "She Said Spatchcock"

In my experience, exposing the breast doesn't make it dryer. Just saying'

2 Like

tj-turkey-jobble-jobble-hard-J

Nov 1, 2024 at 1:30pm
In response to "Cave In"

I think it was one of the gateways, but after the riots, the denizens of Hell closed that portal for fear of what might get in.

Wordsmitty ✍️

Nov 1, 2024 at 1:18pm
In response to "Cave In"

Makes you wonder what might be under your city - or house.

2 Like

November 2, 2024 at 9:58am

#1079387

She Said Spatchcock

I guess sometimes Lifehacker is good for a laugh. Laughacker? I don't know.

Spatchcocking Your Chicken Is Worth the Effort
Those thighs aren't going to crisp tucked way under there.

Settle down, Beavis.

Roast chicken is an everyday pleasure—a good fit for both special occasions and midnight snacks.

Which is why my grocery store sells rotisserie chicks.

While you might be familiar with the classic roasting style, with trussed legs and tucked wings, this method can lead to overcooked breasts and soggy thighs, two phrases I want nowhere near my chicken.

Heh heh heh huh huh

There’s a better way to roast your chicken for more even cooking: spatchcocking.

Bwaaaaahahahaha

You can spatchcock, or butterfly, any bird.

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

Traditional roasting puts the driest cut of meat (the breast of the chicken) at the top, often closest to the heating element—before you've even turned up the heat, it’s a recipe for overcooking. The parts that are juiciest (i.e. the thighs) are lower, if not completely under the rest of the body, and shielded from direct heat.

Somehow I'm hungry for wings, now, and I hate wings.

Illustrated instructions follow. I'd suggest not going to the link if you're vegan or vegetarian, or, like me, are allergic to hard work.

3 Like • Comment • View 3 comments

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