Recent content by thenava

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    Calculating conditional expected value

    Homework Statement Hi All, I have a homework question that I would like some hints on. I am given X and Y with uniform densities on [0,2], and Z := X+Y. The end goal is to find E[X|Z]. Now I know I can use symmetry to argue that E[X|Z] = E[Y|Z], and that E[X|Z] + E[Y|Z] = E[Z|Z] = Z, so...
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    Dog Colors (an inductive proof)

    Hey thanks for the help CRGreathouse, and Rogerio.
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    Dog Colors (an inductive proof)

    I didn't really know where else to post this, it has a set, so I figured here would be the best place. The question is to find the flaw in this argument. Claim: In every set of n dogs, all dogs have the same color. Proof: By induction on n. Basis: Take n = 1. In every set containing one...
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    A question on why Special Relativity holds

    I was once told that the reason that the following two questions are fundamentally the same: 1) Are laws of Electricity and Magnetism are the same for all inertial reference frames? 2) The speed of light is 3.0*10^8 with respect to what? I can fathom how Einstein could have shown the...
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