Recent content by calum.g

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    MATLAB Non linear ODE system matlab fourier analysis problem

    Hello all. I am studying a system and want to investigate how the frequency of y(3) varies under different conditions. However, my the fft I perform on it tells me the frequency is zero, which must be incorrect. I have tried a stack of things but can't see what the problem is. I'm relatively...
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    Breaking Through the Coulomb Barrier: Solving an Equation

    solved it thanks, i was being a fool
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    Breaking Through the Coulomb Barrier: Solving an Equation

    I should also point out i don't actually know if it possible to solve this, the paper I am reading claims it is but I am not convinced.
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    Breaking Through the Coulomb Barrier: Solving an Equation

    sorry, i meant i started from the LHS
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    Breaking Through the Coulomb Barrier: Solving an Equation

    need to show (1) A coth(2ax) - B cosech(2ax)= (A+B)/2 tanh(ax)+(A-B)/2 coth(ax) starting from the RHS (2) A/2 (1+tanh^2(ax))/tanh(ax) - B/2 cosech(ax)sech(ax) (3) A/2 coth(ax) + A/2 tanh(ax) - B/2 cosech(ax)sech(ax) from here i just starting going in circles from line 2 i could have...
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    Breaking Through the Coulomb Barrier: Solving an Equation

    am i better off going from the RHS to LHS?
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    Breaking Through the Coulomb Barrier: Solving an Equation

    the exact statement is A coth(2ax) + B cosech(2ax)= (A+B)/2 tanh(ax)+(A-B)/2 coth(ax) i have tried using the double angle formulas but seem to be going in circles
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    Breaking Through the Coulomb Barrier: Solving an Equation

    Homework Statement something like A coth(2x) + B cosech(2x)= (A+B)/2 tanh(x)+(A_B)/2 coth(x) the a's and b's may not be right but the trig is what's important Homework Equations anything The Attempt at a Solution
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    Breaking Through the Coulomb Barrier: Solving an Equation

    im generating potentials, however the coulomb is proving tricky. stumbling block is finding a way to write A coth(2x) + B cosech(2x)= (A+B)/2 tanh(x)+(A_B)/2 coth(x) i am at the RHS and need to get the tanh to come out which I am told can be done. the a's and b's might not be quite right...
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    Solve Integral Problem: Tips & Ideas

    Homework Statement im trying to solve this integral, though it is solvable using mathematica the solution is horrible. wondered if anyone has any cunning tricks or ideasHomework Equations integral between \int_{-\sqrt{E}}^\sqrt{E} \frac{\sqrt{E-W^2}}{BW^2+a}\,dW = n \pi
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