Recent content by smcro5

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    What is the Inverse Laplace Transform of (1/s) * (√s-1)/(√s+1)?

    Hi guys, when writing the Bromwich contour for this integral, as is done in "http://en.wikipedia.org/wiki/Bromwich_integral", would the restriction on \gamma be \gamma > 0 or \gamma > 1 ?
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    Inverse Laplace Transform and Branch Points

    Homework Statement Find the inverse Laplace Transform of \frac{1}{s}\frac{\sqrt{s}-1}{\sqrt{s}+1} Homework Equations The complex inversion formula (well known) The Attempt at a Solution The first thing is finding singularities and branch points and so on. From the \frac{1}{s}...
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    Complex Analysis - The Maximum Modulus Principle

    Cheers Matty_t69, now it all makes sense! The plot of the function just makes the question a wee tad more exciting eh? ;)
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    Complex Analysis - The Maximum Modulus Principle

    Ah thanks for that, jackmell, much appreciated! It looks like 3-|z|^2 is not analytic, so the maximum modulus principle must therefore not apply. In situations like this though, we weren't taught how to deal with such things. So would my initial assumption be correct that the maximum of |f| is...
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    Complex Analysis - The Maximum Modulus Principle

    Homework Statement Find the maximum of \left|f\right| on the disc of radius 1 in the Complex Plane, for f(z)=3-\left|z\right|^{2} Homework Equations The maximum modulus principle? The Attempt at a Solution Since |z| is a real number, then surely the maximum must be 3 when z=0...
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