Yay, early birthday present

So I got a package today. My parents bought me Yinsh for my birthday, yay! Unfortunately I get the idea I'll have a hard time finding people to play it here. :-/ I've still had no success starting games of Settlers or Carc, though I've basically stopped trying due to lack of apparent opportunities. I was somewhat hoping they would buy me Ingenious instead, as I figured at least *that* I would be able to start games of (though I can hardly complain about getting Yinsh!). I was talking to Mike and he was saying he was surprised nobody's started a Diplomacy game yet, he wants to play some of that.

Then I remembered I have a lot of money I can use from those going-away presents I got and went and ordered myself a copies of Ingenious, Falsche Fuffziger (well I doubt I'll be able to start any games of that here for quite a while :P ), and a replacement for my ruined Fluxx 3.0 deck (another good one for starting...)

I may have to actually start leaving the dorm (for reasons other than class or QB) on occasion. :P

Ooh, along with Yinsh came a pack of M&M's and a little card that began:

"Dear Valued Customer;

In grateful appreciation of your business, we have included a bag of our special edible colored playing tokens. We're sure that you'll be able to find some way to make use of them while you're playing your new game(s)."

(Well, not anymore I won't...)

-Sniffnoy

Sleep, nuns, trampolines, and differentiability

Blech. I've been tired enough the last few days that I've actually ended up napping once or twice. Mark found me sleeping in the lounge the other day and suggested I go to bed early, which I proceeded to do. Although it seems that so far this has only happened when working on Hum. :P

So Boy Alex stayed up all night last night, and when I came back to the room at only about 17:00 or so today, he was in bed. I figured he was just taking a nap, but I came back again later, and later, and it seems nope, he'd gone to bed. Now I have to wonder if he's going to wake up at 9:00 or if he's going to wake up at 6:00.

So for some reason Girl Alex, Shuo, and Nadja got the idea to try acting like *nuns* for the week. Alex seems to be one who's been all "Now I'm in college and I'll try all sorts of new things," and... well... this is where that led. It has... failed miserably. It wasn't too bad before, but now Alex has apparently just gone out and gotten drunk.

So today a trampoline appeared in our lounge. Noone was really sure where it came from. Some people said Henderson had a trampoline, and we must have stolen it from them, while others said Shorey had a trampoline, and we stole it from them. Eventually it came out that some guy named Noah from Thompson stole it from Shorey and gave it to us, because Shorey was always jumping on it and annoying the Thompson kids below them, so they gave it to us because there's no one below us. Only it turns out, Shorey actually originally stole the trampoline from Henderson so that they could make slam dunks in their basketball hoop.

Neat little problem we got a bit ago in math:
(I should note that we have not talked about Lebesgue measure yet, I assume we won't for quite a while, but we have defined measure 0 for subsets of R.)
So consider the function f(x)=1/denom(x) for x∈Q, 0 otherwise. Only modify it so that f(0)=0, and actually we're going to consider f^r (exponentiation, not iteration) for r≥1. As you know, f^r is continuous precisely on the irrationals and 0.

Then:
1. Show f^r not differentiable on the irrationals for r≤2.
2. For what r is f differentiable at 0?
3. (The neat part!) Show that f^r is differentiable almost everywhere for r>2.
(Hint: First show that A⊆R is measure 0 iff you can cover it with a countable collection of open intervals such that each element of A is in infinitely many elements of this cover, and so that the total length of the cover is finite.)

I think I'll start referring to people here using their house in place of their last name when this is unambiguous, e.g. "Lisa of Flint".

-Sniffnoy