Recent content by gradivcurl

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    Number of Events Detected (Neutrino Collisions)

    So the number of events will be N = σLt , where σ is the neutrino-electron cross section , L is the integrated luminosity, and t =10s ? The total number of electrons in one molecule of h20 is 10. So in 3,000,000,000g of water we have # electrons = (mass of water * Avogadro's number* 10...
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    Number of Events Detected (Neutrino Collisions)

    Homework Statement Hi everyone, So I am asked to detect the number of neutrino events that occur from them entering 3000 metric tonnes of pure water. I am given that t=10s , E(neutrino)=10MeV and that the electron cross section is 10^-47 m^2 . This was the famous neutrino experiment at...
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    If for n-dimensions f>=0 , prove the integral of f >=0

    Homework Statement Homework EquationsThe Attempt at a Solution a) The furthest I have got to understanding the solution is that I need to find a way to show that sup(f(x1,x2,...,xn) >= 0. Intuitively and graphically I can see why the statement is obvious, I'm just having a hard time...
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    Vector Calculus: Mesh Size and Size of Largest Rectangle

    Since you are dividing the y coordinate as well, will the area be w^2 ?
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    Vector Calculus: Mesh Size and Size of Largest Rectangle

    The mesh size is the greatest widthed partition in the interval [a,b]?
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    Vector Calculus: Mesh Size and Size of Largest Rectangle

    Would the mesh size just be ##w## ?
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    Vector Calculus: Mesh Size and Size of Largest Rectangle

    You mentioned thinking about long skinny rectangles, and the only thing that came to mind is the dirac-delta function which has a size equal to unity. I don't know if that helps my case, but nothing else spurs into my noggin at the moment.
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    Vector Calculus: Mesh Size and Size of Largest Rectangle

    Homework Statement I need to find a sequence of partitions , let's call it S of R=[0,1]x[0,1] such that as the number of partitions k→∞ , then limit of the area of the largest subinterval of the rectangle in the partition, denoted a(S) tends to 0, but the mesh size m(S) is a non-zero value...