The first point is discussed here.

Nobody has mentioned Expectation Maximization or Mixture Models? Strange, though you still need to know the distribution for these I guess.

<t>Assuming n < sizeof(long) you can just start a counter i = 0 then increment it. You can then use it as a bitwise mask on the original set. (ie if a bit1=1 you take element 1, if bit1=0 you don't, etc) When you get to 2^n will have enumerated every subset.code might look likefor(long i=0;i<(1<<n);...

I have a feeling the fact there are two inverses of Y=X^2 and a nice divide by zero mean this requires a bit more thought than I gave it but it's something like p(y) = 1/(2*sqrt(y)).I also get something like this from MC but I didn't bother to fit it to check.

<t>QuoteOriginally posted by: DigammaWe use WPF (An evolution of WinForms in Windows). It uses a markup lang (XAML) to develop 'rich UIs' One of the cool features is that it separates the UI and the business logic (a real problem in most systems is that they mix these up creating problems down the l...

Out of interest, what are people using to make GUIs for their applications (if at all)?

<t>QuoteOriginally posted by: NicolasQuantFor a verb related to an action of course we the French understand the difference. I chose "become" as a specific example because it was less clear. Nevertheless, thank you fo your "I become heavier" example, it's good.The same distinction exists in France b...

<t>When people say "Why?" there is always an implicit statement which should follow. If you were showing someone how to do something and you said "push this button" and they said "why" it is fairly obvious they mean "why do I push that button?". Confusion only arises when it's not obvious from conte...

On an additional note the germans have two words for "to know"Weissen = to know (knowledge)Kennen = to know (someone)

<t>The only examples I can think of containing "I become" also have a conditional statement, e.g. "I become heaver if I eat too much". If you were eating alot then you could validly say "I am becoming heaver" I guess. I don't think 'to become' is the best example. With something more standard like '...

From MC I get P(Sum=17) = 0.19122I also get E(# of throws to exceed 14) = 4.7606

Ahh yes my problem was forgetting P({H,T}) = 2/4 not 1/4 because it doesnt matter what order they're in.

Well without taking any data into consideration the answer is 2/3, taking the data into consideration I get 0.742424 but I have a gut feeling something is wrong with my working, but I can't find it.

<t>QuoteOriginally posted by: EBalPerhaps, the problem is more realistic if the number of bets depends on the number of red fields; given some dependence find the optimal number?Sounds interesting. The solution to the original problem can also be found by writing the 'profit' as a biased binary rand...

Ahh, I got to the bit with n and m.