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Did you know that l’Hôpital’s rule is really Bernoulli’s rule? One of those 40 Bernoulli guys actually came up with that limit finding technique (it was Johann). He did it on l’Hôpital’s dime, however, so Bernoulli was contractually obligated to let l’Hôpital have the credit. That’s a bummer; I should have heard Bernoulli’s name much sooner in my mathematical training.
So the next time you are trying to take a limit in calculus, if you find yourself evaluating the derivatives of a quotient of functions and taking that limit, rather than the original quotient, tip your hat to Bernoulli (Johann). L’Hôpital didn’t come up with it at all.
Trivia: the Bernoulli family was so successful in math and science that Johann’s entry in Wikipedia includes a family tree so that you can keep the half dozen or so Bernoullis straight.
Interesting article on WebOS. I had heard good things about it, but have never seen it in person.
Going forward, WiFi should be referred to as Microwave Radio. It is less reminiscent of magic, and more indicative of cooking.
Really touching if you understand what the SBBOD is in the Apple operation system. (SBBOD, the Spinning Beach Ball of Death).
Make sure to hover your mouse over the picture and read the tool tip.
This was on CBS. Funny, sad, touching.
On the first day of school this year, as I walked past a classroom a teacher waved me in, and asked that I take a 2nd grade girl to the office, as it turns out that she had been in the room for about an hour without saying that she had never been called on the attendance list.
As I walked the little girl down to the office, who is new to our school, she looked serious and like she might to cry. I wanted to give her a hug really badly, but I didn’t know her so I didn’t. She wouldn’t even hold my hand, so we just walked together as I tried to tell her it was no big deal (first in English, and then in my broken Spanish). She gave me very little reaction.
We found the right class in the office, and I took her there. As I said goodbye she looked like she might cry again, having to face a second room full of strangers, but she didn’t. She was too nervous about the second classroom on the first day that she didn’t say goodbye.
Fast forward a month, and today I worked with her in that classroom. She was so happy and smiley; at one point she was very confidently and politely playing the role of teacher after the class came back from recess, trying to calm everybody as Mr. H talked with a colleague. She now goes out of her way (usually sprinting across the blacktop) to say “Hi” every day when I see her at recess.
I really love to see kids like that, and imagine I made their lives just a little bit better.
