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kinross3142

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  • calculating an integral with the gamma function?

    Hi,

    How do you show that

    integral of (u^(a-1))*((1-u)^(b-1)) between 0 and 1 is:

    Γ(a)Γ(b) / Γ(a+b) ?

    Thanks!

    1 AnswerMathematics1 decade ago

  • Problem involving exp(2pi*i)?

    Hi,

    If we take any non-zero number a, then

    a = 2pi*i*(a/2pi*i)

    So when we calculate

    exp[a]

    Why doesn't:

    exp[a] = e^[2pi*i*(a/2pi*i)] = (exp[2pi*i])^(a/2pi*i) = 1^(a/2pi*i) = 1

    hold?

    Thanks!

    1 AnswerMathematics1 decade ago

  • Time Dilation Help?

    Hi,

    I'm doing a coursework on Satellite Navigation, and am doing a section on Time Dilation. My question is fairly simple- how come the formula for Gravitational time Dilation factor equation returns a figure less than 1, but the velocity dilation factor returns a number greater than one?

    I'm completely lost by this because both of them cause time to slow down, so shouldn't they both be less than one?

    The formula I'm using are:

    grav dilation = sqrt(1 - 2GM/rc^2)

    velo dilation = 1/sqrt(1-v^2/c^2)

    10 points to whoever helps me understand this best!

    2 AnswersPhysics1 decade ago