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  1. W

    Does this make sense? A binomial distribution with a twist.

    Stephen! Thank you very much for your reply. I get pretty busy during the week, but I will be replying in detail soon. Chi-square test! Of course! That shook the dust off an ancient unused neuron in my brain, and I've been studying up on it.
  2. W

    Does this make sense? A binomial distribution with a twist.

    Hi Stephen, Ok, I feel like we're getting to the heart of matter now. This is new territory for my brain... I do a lot of regression and curve fitting and such in my work, but this is different. So I'm trying to get my head around this: So let me just think out loud for a minute, and if you...
  3. W

    Does this make sense? A binomial distribution with a twist.

    Hi Stephen! I really appreciate your attention to this problem! I know we haven't actually talked about whether my methods are correct yet, but the first step is of course determining whether the question makes sense in the first place. Yes, you are absolutely correct about the winds needing...
  4. W

    Does this make sense? A binomial distribution with a twist.

    Hi Stephen, I just reread your last post, and I forgot to answer your question about what "retreat" and "advance" are referenced to. It is referenced to the perpendicular direction of the ice edge. And I think I made a small mistake in my description earlier. It has to do with WHEN to...
  5. W

    Does this make sense? A binomial distribution with a twist.

    Hi Stephen, You make some great points, and you are definitely understanding my problem. The ice pack can generally be pictured as a circle, so that you are right to picture "retreat" as the edge moving toward the center, which means the circle is getting smaller. You can picture the center...
  6. W

    Does this make sense? A binomial distribution with a twist.

    Hi Stephen, Thanks for your reply!! Here's some more details about how I assembled the data I'm analyzing: 1. The daily ice field data (acquired via satellite) is ice concentration data. Values range from 0 (no ice) to 1 (100% ice). It's on a grid, so the concentrations describe the conditions...
  7. W

    E|X|=E(X) ?

    E(X) = expectation of X Let X = {-1, 0, 1} E(X) = (-1+0+1)/3 = 0 E|X| = ( |-1|+|0|+|1| )/3 = (1+0+1)/3 = 2/3 So, I think no, it's not true that E|X| = E(X) if I understand the question correctly.
  8. W

    Does this make sense? A binomial distribution with a twist.

    I'm working on a project studying sea ice in the Arctic ocean. A brief overview of the essentials: The ice pack over the Arctic begins shrinking every summer beginning around June 1st, and begins to recover around Sep 15th. I'm interested in the movement of the ice edge as the pack shrinks...
  9. W

    Basic question about entanglement

    Oh, right, of course. The entangled state shares a wavefunction. The pilot wave interpretation, ok. I have no idea what that is, but thanks for the lead! I'm watching a great video series of lectures from iTunesU that introduces entanglement very well. It's from Standford, and is taught by...
  10. W

    Bernard d'Espagnat Quote

    I have to take issue with the "... independent of human consciousness" part. What about other creatures? Chimps can't be observers? You have to have a certain intelligence, or something? Seems far fetched. If this statement has any truth to it then IMO it must have more to do with whatever it is...
  11. W

    Basic question about entanglement

    My description isn't very accurate, I know. I'm still working on figuring out the specifics. I think I have the right general idea. My description doesn't seem all that different than JesseM's, except I actually said some wrong things by putting it in terms of actual spins. So, let me see if...
  12. W

    Basic question about entanglement

    I kind of understand the reasoning why entanglement is weird now. To explain, I'll start by assuming it's NOT weird, and explain what we expect to find in this scenario: Say we've got a bucket load of entangled electrons (a bucket can hold quite a few). We separate the pairs and keep them...
  13. W

    Basic question about entanglement

    Ok, I see what's weird now. When you measure the spin of one particle, the other automatically collapses into the corresponding negative spin. But this can't be explained by saying that both particles came out predisposed to behave that way. Bell's theorem proves otherwise. (I'm still trying to...
  14. W

    Basic question about entanglement

    "... 100% probabilities of spins, NEVER real spins." -- point taken I know I'm missing something, because I don't see what is so weird about entanglement yet. When two electrons are put together, they automatically align themselves so that their spins are opposite. Why is it weird that each...
  15. W

    Basic question about entanglement

    I'm only just beginning to really learn about entanglement, and I just have some questions about what entanglement actually means. Let's say we have one electron and put it in a magnet field. We find out what it's spin was along one axis based on whether a photon is emitted. But now we know...
  16. W

    Red shifting light

    Wow. Thanks Prevect! That'll give me something to work on for awhile. Thanks for helping me find this information!
  17. W

    Red shifting light

    Ok. Here's where my thinking is leading me. Here's a list of things I believe to be true (correct me if I'm wrong): 1. Space is expanding, and pushing galaxies apart. 2.As a galaxy gets farther away from us, the light coming from it takes longer and longer to reach us. 3. No new space is...
  18. W

    Red shifting light

    Ok... I think I have a faulty picture in my head. Is there a distinction between moving through space, and moving because space is expanding?
  19. W

    Red shifting light

    Oh, one more question that's got me worked up: Say two masses (A,B) are initially 1 light year apart when A starts radiating light. Space between them is expanding while the light travels from A to B. Does the light take more than 1 year to reach B? It seems like if space is just stretching...
  20. W

    Red shifting light

    Hello all, I'm trying to figure out how light from different galaxies gets red shifted. I wonder if I could get some quick answers to a few example situations so I can get a better intuitive understanding of how light moves through space. Q1. Say two people are moving apart at constant...
  21. W

    Red Shifts and the expanding universe

    I have a question about the light observed from galaxies that are moving away from us due to the expansion of the universe. I understand that we can tell they are moving away because the light from these galaxies is red shifted. I was wondering how this red shift is generated, exactly. Is the...
  22. W

    Expansion of the Universe

    Awesome! Thanks for the references. Yes... I should have posted in the Cosmology forum. Actually, when I first posted, I was thinking I was going to ask a question about how light travels through space, but then realized I had questions about space first. And I now realize that I don't really...
  23. W

    Expansion of the Universe

    Ah... thanks for your response EL. I wrote my last one before I read it... So, the universe isn't expanding uniformly. I see..
  24. W

    Expansion of the Universe

    Ok. Maybe space is expanding, but where there's matter, it isn't expanding as rapidly because of gravity. Matter stitches space together. Then expansion would cause space to be stretched more near matter, and increase gravity (or maybe space stretching outside of matter is responsible for...
  25. W

    Expansion of the Universe

    Hmm... but what if instead of coins, you make little marker dots all in one area on the surface. As you blow up the balloon, the marker dots expand too. I guess the space between the dots will expand also, but would a stretched dot be able to percieve the difference? It would look porportionally...
  26. W

    Expansion of the Universe

    I believe I've read that space is stretching, but this somehow doesn't make sense to me. We can't percieve the stretching of space ourselves, can we? If everything is expanding, then we are too, but relative to everything else, we wouldn't notice any difference. So, how could we actually observe...
  27. W

    Expansion of the Universe

    I was wondering how much we know these days about how the universe is expanding. Has space actually been stretching since the big bang? Or is new space being created somewhere? Or maybe the matter and energy of the universe is just expanding into space that already exists... Or is the matter and...
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