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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.
February 17, 2023 at 12:01am February 17, 2023 at 12:01am
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Before I get into things today, please note that for the next few days, blog entries will be at unusual (for me) times. My birthday's coming up and I'll be drinking.
Today's article is another one that's (partially) about tipping. I didn't expect another one to come up so quickly, but such are the dangers of using random numbers.
No, I don't know how to behave, beyond always returning my shopping cart to the corral or standing on the right side on an escalator. But it's always fun to see what so-called experts have to say on the subject.
Our social graces have atrophied.
Speak for yourself. If I had "graces," I wouldn't be the misanthropic hermit I am today.
We wanted to help. So we started with the problems — not the obvious stuff, like whether it’s okay to wear a backpack on the subway or talk loudly on speakerphone in a restaurant (you know the answers there).
I think I do. Yes, and yes. Going only by what I've seen in NYC.
By the way, who the hell decided it was fashionable to hold your dumbphone like a slice of goddamn pizza? For fuck's sake.
From there, we created rigid, but not entirely inflexible, rules.
That's a contradiction. Also, if the rules are so rigid, why do they change often enough that these articles have to come out every year?
There's a lot of these, so I'm just highlighting the lowlights.
1. You don’t have to read everyone’s book.
I take this one as a personal affront.
3. Don’t be loudly naïve about dating apps if you’re in a relationship.
I sometimes used dating sites (before there were apps) back in the time when most people thought they were dangerous. Now that everyone else is using them, I don't want anything to do with them.
4. When shopping with a friend, don’t cut them in the rack.
Someone needs to explain this to me. On second thought, no, don't. I never shop with friends.
6. Never wake up your significant other on purpose, ever.
Never wake them up accidentally, either.
10. Straight people can use the word partner only when they’re trying to get something out of it.
Bull. Shit.
12. On a date, all individuals present should gently and politely compete to pay the entire bill.
No. They want to pay? Let 'em pay. (This may be why I haven't been on a date in 23 years.)
Skipping a whole lot of other ones, mostly concerning dating, because I don't care.
26. If someone mispronounces a word but you knew what they meant, move along.
On the flip side, if someone misspells a word (or, worse, mistakes its for it's or vice versa, or things to that effect), set 'em straight.
28. Don’t ask people how they got COVID.
29. Or why they’re wearing a mask.
No, please ask me why I'm wearing a mask. Depending on my mood, I might answer with "to mess with facial recognition," "because I get compliments on my cat mask but never on my face," or "to keep you from running away screaming."
30. When casually asked how you are, say “Good!”
Valid only in English-speaking countries. And not even then; if someone asks me that, I assume they really want to know.
34. Actually, it’s great to talk about the weather.
It was 60 degrees in January. There’s lots to say.
No. Talking about the weather is just going to start an argument about climate change. It's now a topic more fraught than sex, politics, or religion.
38. Always wink.
What the bullshit is this?
47. Listening is not the time for you to silently rehearse what you want to say next.
Say something interesting, then.
51. No deciding your order at the counter. When you roll up, speak up.
NO SOUP FOR YOU!
78. Don’t talk about a movie when leaving the theater.
Oh, but one of the highlights of my life was shouting out "I can't believe Snape killed Dumbledore" while walking out after that one movie.
84-91. There are new rules of tipping.
This might irritate or confuse you, but the reality is there are new social expectations around what deserves a tip.
Finally got to that.
Also, as per my post a few days ago on tipping, bite my ass.
110. Saw someone shoplifting? No, you didn’t.
Ditto for jumping the turnstile.
Snitches get stitches.
120. Even when a kids’ party says “no gifts,” you’re supposed to bring a gift.
Bite my ass harder. Not limited to kids' parties (which I don't go to anyway), but how absolutely moronic is it to do the exact opposite of what a person says?
The list goes up to 140, though most of the explanations are mercifully short, and there are sidebars with even more inanities. If you make it through to the end, congratulations, and go ahead and do what you want anyway (within the boundaries of being mindful of other people). |
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