Recent content by Sam1234

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    Heavy vs. Light Bungee Jumpers: Stored Energy Explained

    Homework Statement Bungee jumpers use an elastic rope to halt their fall when they are just a short distance from the ground. Using the idea of stored energy, explain whether heavy jumpers should use a shorter or longer length of rope than lighter jumpers. Homework Equations W=mg...
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    Evaluating $P\int_{-\infty}^{\infty}\exp(imx^2}dx$

    Ok, I worked so far as that it only remains to show that the integrals on C_2 and C_4 are zero. I suspect having to use an ML-bound but don't really know how to do this.
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    Evaluating $P\int_{-\infty}^{\infty}\exp(imx^2}dx$

    actually in C_2, x=s and in C_4, x=-s
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    Evaluating $P\int_{-\infty}^{\infty}\exp(imx^2}dx$

    Sorry, i gave the wrong title
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    Evaluating $P\int_{-\infty}^{\infty}\exp(imx^2}dx$

    Homework Statement Evaluate $P\int_{-\infty}^{\infty}\exp(imx^2}dx$, $m>0$. Homework Equations None The Attempt at a Solution Consider the following contour $C$ consisting of $C_1:=\{z=x+iy:y=0, x:-s \to s\}$ $C_2:=\{z=x+iy:x=0, y:0 \to is\}$ $C_3:=\{z=x+iy:x: s \to -s, y: is \to...