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:

tj-Merry Mischief Maker

about 11 hours ago
In response to "A Mammoth Discovery"

This makes think of a book, "Evolution and Genomic Diversity" by Gene Poole.

1 Like

tj-Merry Mischief Maker

a day ago
In response to "Hot Shoulder"

Maybe if we say, "Betelgeuse" three times in a row we can witness it.

1 Like

tj-Merry Mischief Maker

Dec 23, 2024 at 4:55pm
In response to "Trash Pandas"

Being an avid camper, keeping items out of the reach of raccoons can be challenging. We've had them figure out how to open coolers, open chests, and even gnaw through rope used to suspend a cooler out of their reach.

2 Like

🐕GeminiGem🎁

Dec 23, 2024 at 12:56pm
In response to "Trash Pandas"

I wrote one of my Danger Dog stories based on a childhood camping trip that involved a raccoon stealing grapes from our cooler "Danger Dog's Camping Capers"

I had always heard that cockroaches will be the only thing that survives a nuclear war/apocolypse, but maybe it will actually be the raccoons.

4 Like

🌖 HuntersMoon

Dec 23, 2024 at 10:04am
In response to "Trash Pandas"

Just wait until we team up with the cats...

4 Like

Jayngle Bells

Dec 23, 2024 at 10:03am
In response to "Trash Pandas"

The back of my property is sheltered by buildings and cedar trees, so I live on a "racoon highway." Tinfoil works until one takes it for the team and moves it. The only scent that somewhat deters then is ammonia - but they alter their path within the already preferred walkway, not avoid it completely. They generally leave the garbage bin alone, but that's because of the bears, not because of anything we do 😂

I've had more wildlife problems in the city than I ever did in the country. The first time I saw a deer up close? In the middle of my street directly in front of my house. Probably looking for the trash panda party. Lol

4 Like

Annette

Dec 21, 2024 at 11:59am
In response to "Neutral Zone"

It made me happy that I was able to like it. I take the small victories.

1 Like

tj-Merry Mischief Maker

Dec 20, 2024 at 6:06pm
In response to "To Err Is Human"

Right from the beginning I find myself asking, "How many times can anything go extinct?" On a side note, the other day while shopping I saw a neanderthal in the produce section. He was trying to fit in with modern clothes, but it was pretty obvious he was a neanderthal.

1 Like

Annette

Dec 20, 2024 at 1:00pm
In response to "To Err Is Human"

Comments work.

"Like" button sends me this message:

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Annette

Dec 20, 2024 at 12:58pm
In response to "To Err Is Human"

Can I leave this comment?

July 31, 2024 at 12:41pm

#1074612

Forgotten Food

From The Guardian, a British publication, we have an undisguised ad for a book about American food.

‘On the brink of extinction’: a food historian’s hunt for ingredients vanishing from US plates
In her new book, Endangered Eating, Sarah Lohman chronicles disappearing foods – and why they need protecting

I don't know... I feel like some foods are better off disappearing, such as everyone's favorite horror story: gelatin molds.

The American buff goose. Amish deer tongue lettuce. The Nancy Hall sweet potato. The mulefoot hog. When food historian Sarah Lohman stumbled on these fantastical-sounding ingredients in a database of vanishing foods called the Ark of Taste, she set off on a journey across the United States to discover more ingredients and traditions that had been abandoned in the annals of history.

Mind you, I think that keeping the knowledge around for the sake of history is a worthy project.

Lohman spoke to the Guardian about the cultural and political importance of these near-forgotten foods.

Like I said, it's a book promotion, and it's largely in interview form.

But endangered foods are the focus of Slow Food International’s work. They catalogue thousands of international and hundreds of national foods that are considered delicious, distinctive and worthy of protection.

I've been hearing references to Slow Food for a long time. It's almost always followed by the word "movement." Every time I hear it, every damn time, it sounds like constipation.

One major question we need to consider is: who should have access to these foods and at what price? I found people profiting off Indigenous foods, and other people profiting off Black American foodways, who weren’t of that culture and weren’t doing much to provide money or support the original caretakers of these plants.

Now, I don't generally accept the idea of food as cultural appropriation. One of the few benefits of living in our society is the ability to get food (and more importantly, beverage) from all over, and combine it in new and improved ways. But the sort of thing she's talking about there, yeah, I can see how that's appropriation, and inappropriate.

There's more to the article, of course, but I found it interesting enough to share, even if I can't be arsed to actually buy the book it's promoting.

2 Like • Comment • View 3 comments

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