Recent content by aliendoom

Hi, Why are images displayed as thumbnails rather than full size images?

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Hi, I can understand why the forum might not want to allow images that are linked from another server to be included in posts: if at a later date the poster removes the image from the other server, then the image won't show up in the post anymore, and it may make the post difficult to...

Why is that?

Can someone explain the replies to me. Intuitively, the op's statements strike me as being wrong. It seems to me that just because there is an absolute max and an absolute minimum on some interval, that doesn't mean a function can't be defined outside that interval--as well as have higher or...

Hi, Thanks for the response. What is a uniform probability measure? Do you mean that any real number in the interval [0,1] has an equal probability of occurring? What would be an example of an ill behaved subset of that interval? After re-reading this whole thread several times, it seems...

Ok, so the outcome space is: { {1,1}, {1, 2}, ...{1, 6} {2,1}, {2, 2}...{2, 6} ... ... {6,1}, {6,2}...{6,6} } ? Getting a 7 consists of the events/subsets {1,6},{6,1},{2,5},{5,2},{4,3},{3,4} ? Getting any number consists of the the whole outcome space: {1,1}, {1, 2}, ...{1, 6} {2,1}, {2...

I don't understand your use of the phrase "all possible subsets". Why doesn't the event space(I'm assuming that is what F is) contain "all possible outcomes"? What do "all the possible subsets" of "all the possible outcomes" have to do with anything? Furthermore, why should I be concerned...

My book has a description in the setting of a coin flip experiment. It says, if we let "heads" equal 1 and "tails" equal 0, then we get a random variable: X=X(\omega)\epsilon\{0,1\} where \omega belongs to the outcome space \Omega=\{heads, tails\} Under the innocuous subheading: "Which are...

I'm currently brushing up on forgotten calculus and statistics, so I'm afraid I haven't retained very much of my math education. How do I get from basic calculus and statistics to measure-theoretic probability? Do you have any book recommendations. I guess I would be looking for the least...

What is the path of study to understand stochastic calculus? I bought the book "Elementary Stochastic Calculus with Finance in View" (Mikosch) because it was touted as a non rigorous introduction to stochastic calculus, and I spent three days trying to decipher the first two pages. :(

one other thing. when a higgs field gets trapped in the high energy state, is that necessarily associated with a "cooling" of the field? from what i could gather, the field has to want to descend to the low energy state for it to get stuck and cause the burst of negative gravity. then the...

...the "value" of the field is a property of the Higgs field. That this is zero does not imply that there is no Field. ok, thanks. very interesting book. physicists and cosmologists are very smart people, and they/you understand more about stuff than most people could ever imagine.

hi, thanks for the reply. These fields are just a way of describing particles, ok? this particular description had to do with the bang in the 'big bang'. i don't comprehend how a field can have 0 energy and a positive 'value', (which I guess is the current state of the 'higgs ocean' and...

hi, i'm reading brian greene's "the fabric of the cosmos" and in it he explains what a higgs field is. he says the potential energy of the field is shaped like a bowl with a raised peak at the center of the bowl. further he says the vertical height above the bottom of the bowl represents...