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A point X is chosen randomly from the interval.
Showing that E(Y|X) = (1/2)(X+1) and E(Y) = 3/4 is straightforward. What I'd like to do is calculate E(Y^2) using E(Y^2|X)..... but I'm not sure how to do so: Y^2 is not uniformly distributed on
Any...
You have a coin, a pyramid, and a die. The coin has the numbers 1 and 2 on it, the pyramid has the numbers 1, 2, 3, 4 written on it, and the die has the usual 1 through 6 on it. An item is chosen at random and flipped/rolled. The coin has probability...
Suppose G has order 33. Show that it contains an element of order 3.
So G can contains elements of order 3,11, and 33. If G contains an element of order 33, then this will generate the whole group. So suppose G contains no element of order 33. Then...
... you accidentally misread "northern lights" as "noetherian lights" and start thinking about DCC.
... you squirt mayonnaise on your sandwich in the shape of an aleph.
... you post such exploits on an online math community.
... you add to this...
I couldn't find an active Computer Science LJ and figured there were some CS students here =), so here goes:
I'm applying to computer science graduate schools, but I'm not sure what subfield (e.g., AI, Theory, Computer Architecture) to talk about in...