Unformatted text preview: A 2 /z ) has a relation with the MilneThompson Circle Theorem for a circle of radius R = A . (b) (based on Fisher 4.2.15) Show that the Zhukovsky map transforms ﬂow past a circle with R < A to ﬂow past an ellipse with axes a and b < a (see Fisher p.282). (c) Describe what happens when A → R . Why is this diﬀerent from your answer to part (a)? HINT: it is. 3. Find the Fourier transform ˆ u ( ω ) for the following functions of time t : a) u ( t ) = 5 1 + t 2 b) u ( t ) = 1 20 + 8 t + t 2 (F 5.1.5) Version 1.0...
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 Spring '05
 BELMONTE
 Math, Calculus, Electrostatics, Electric charge, MilneThompson Circle Theorem, isolated electric charge

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