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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:

Kåre Enga in Udon Thani

about 2 hours ago
In response to "Going to the Dogs"

I have ants in Thailand. Will I miss them in Montana? No.

Would it be nice to have a cat and a dog, here or there? Yes, but I have struggles keeping my neglected plants alive.

Not every situation is suitable for everything or everybody.

Kåre Enga in Udon Thani

about 3 hours ago
In response to "Tipped Out"

I don't tip. In my travels I rarely find tipping the norm.

I also don't haggle.

When you add the tip... the true cost of America becomes evident. But what would I know? I travel while others who have double my income can't pay rent.

Kåre Enga in Udon Thani

about 3 hours ago
In response to "Reality Cubed"

My dreams may be different from your dreams but if we share them with others then some form of the dream may live on. Regardless, if we don't eat we die. "Joy gives us wings." "Reality bites."

Aiva Raine

about 13 hours ago
In response to "Tipped Out"

Agreed. I'll tip and well, for actual waitstaff at restaurants. I'll tip appropriately for bell-staff who assists with luggage at hotels, the more luggage, the bigger the tip. I'll give a tip to the valet as well. Beyond that- I don't tip. Certainly no tip for the fast food workers, coffee baristas, grocery store clerks, etc.

It annoys me to no end that we're being asked to tip for all kinds of jobs where they are being paid an hourly wage. I've worked as a waitress when I was young and my daughter currently does. In those jobs- she absolutely depends upon proper tipping to make a decent wage. And I hate the fact that she is dependent upon tips to do so.

It leaves women especially at the mercy of arsh**() on whether she wants to accept hostile, negative, sexist, harassing, demeaning, and negative behavior from her customers in order to make a living. It condones people treating their waitstaff like shite in order to get paid. While there is much improvement from the 30 years ago when I was working as a waitress in the skimpy outfits we were forced to wear- it's still an issue at non-chain, independent owned restaurants and diners.

Women are left to the mercies of jerk customers and their only recourse is the manager who they have to hope supports their waitstaff rather than the jerk customer. Tipping should be eliminated. All employees should be paid a livable wage and waitstaff especially should not be dependent upon tolerating crappy to obscene behavior from customers in order to make a living.

But, until that happens- I always tip at least 20% and often times more. Very rarely have I tipped lower and the service in those situations was abysmal and they still got 10%.

1 Like

GeminiGem of House Lannister

a day ago
In response to "Going to the Dogs"

I don't understand the intersection, either. I lived in a much smaller city and found that having dogs was a hassle (although it didn't stop me), what with the complainey neighbors, the extra licensing, etc. I live in a rural location now and it works great. I can't wrap my head around living in NYC with or without a dog, although I like the idea of a place that issues a canine and supplies upon moving there. Can that please be a thing?

1 Like

Lazy Writer est 4/24/2008

a day ago
In response to "Going to the Dogs"

I love my little dog...but I live in a biggish house with a fenced backyard.

1 Like

Aennaytte: Free & Wild in GoT

a day ago
In response to "That's Cole"

I knew and ate Kohlrabi before I ever heard of kale. Kohlrabi is so much better in every way.

That last quoted sentence is hilarious. I am glad that I wasn't bred to be a Brussels Sprout.

1 Like

Aennaytte: Free & Wild in GoT

a day ago
In response to "Cash Stash"

The discussion of money is an interesting one. Remember the recent collapse of a few banks? I think it was about a year or so ago?
Yes, deposits were FDIC insured up to $250,000 per depositor. But some people and companies had more money in that bank than the FDIC was insuring.
I never followed up on what happened to those people. I don't run in circles of people who own that much cash.

My accounting professor took half a period to explain to us what happened and how the bank went from Silicone Valley darling to dead so fast.

He also told us that the value we give money is not backed by anything except our hope and faith that our economy will keep going.

We didn't discuss whether the value of money needed a lower income class of people.

1 Like

Aennaytte: Free & Wild in GoT

a day ago
In response to "Revisited: "Hack This""

In my last psychology class, we discussed the evolution of the brain. It is now settled science that we evolved to have not only larger, but also vastly more powerful brains than most other animals because we learned how to cook (process) our food.
Although we are only about 1/4 to 1/3 of a normal gorilla, we eat half of the calories in a day. Not only that, we prepare the food in a way that we get to use more of the calories that we ingest.
The result is that our brain takes up more space in our noggin than a gorilla brain takes up in his noggin. Not only that, each of our brain cells is smaller, so we can fit exponentially more of those into our head.

Now, using all that goodness ...

1 Like

Aennaytte: Free & Wild in GoT

a day ago
In response to "Hope for Hops"

Wait! Why are beer and coffee affected by climate change? That wasn't supposed to happen. All we had to do was have a boat by the side of the house for when the sea levels rise and beg our property insurance to cover fire damage. How are we supposed to remember all of that if we don't get coffee to wake us up in the morning so that we can think and beer at night to dull our sense of doom?

February 12, 2021 at 12:01am

#1004285

The Gluten Lie

Entry #3 of 8 for "Journalistic Intentions"

[18+]

The Gluten Lie

Neat how this one comes up the same week I do a Fantasy newsletter editorial about bread. But it was, indeed, randomly chosen.

I haven't read the book in question. I should, though; the bullshit surrounding nutrition science is, as you probably know, an interest of mine.

Thing is, from what I've seen of it, it would be largely confirming my own beliefs about things. "An incendiary work of science journalism debunking the myths that dominate the American diet and showing readers how to stop feeling guilty and start loving their food again—sure to ignite controversy over our obsession with what it means to eat right."

But, see, part of the problem with all the different diet and exercise and other health publications, programs, whatever out there is that they follow the standard marketing playbook: 1) Convince people that they have a lack and will not be happy until that lack is fulfilled; 2) sell the thing that will fill the hole you've just created in their psyche.

I'm no expert, but as far as I've been able to tell, that is the essence of advertising. The process itself is independent of whether the product you're selling is genuinely a good thing, or utter bullshit. And the blurb I quoted above (found via Google when I searched for the book) follows the script, also throwing in the "controversy" angle, which makes people want to see what the fuss is supposedly all about.

Still, I want to believe the book is worthwhile, because I long ago grew weary of the endless succession of diet and exercise fads, each marketed to a neurotic public, each in turn fading into obscurity as the new fads roll out. Different foods are by turns demonized or extolled, until it's impossible to tell what one "should" really be doing to maybe eke out another year or two of existence.

This is by design, as it keeps the publishing industry in business.

As for gluten itself, the whole "gluten-free" fad (which finally shows signs of winding down) misled people in a big way. It didn't help that "gluten" isn't a very pretty word, so it was easy to manipulate people into believing that it's Bad For You, in much the same way as it was easy to manipulate people into thinking that something labeled "All-Natural" is Good For You. (Incidentally, gluten, tobacco, and poison ivy are all-natural. Cognitive dissonance also sells product.) I'd even heard of people demanding gluten-free foods simply because they thought it was some kind of additive, and additives are, of course, Always Bad For You. (Anything can be an additive.)

One good thing has come from this bullshit: since less than 1% of the population has legitimate problems with eating foods containing gluten, there wasn't a lot of incentive for companies to create products that people with celiac disease could eat, which limited their diet options to food that is legitimately no fun at all. But suddenly a whole lot of people convinced themselves they had gluten sensitivities, companies marketed to them, and suddenly actual gluten-intolerant people had more options. So that worked out well for them.

Anyway. Like I said, I haven't read this book so I have no idea if what I've just said supports or contradicts anything in it. It just gave me a chance to once again rant about nutrition science, and the reporting and marketing thereof.

7 Like • Comment • View 5 comments

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