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Unformatted text preview: Maximize h ( Z, V x , V y , V z ) , Z ≥ , ( V x , V y , V z ) ∈ R 3 , subject to the energy constraint E ( 1 2 m k V k 2 + mgZ ) = E . Show that the resulting distribution yields E 1 2 m k V k 2 = 3 5 E EmgZ = 2 5 E . Thus 2 5 of the energy is stored in the potential Feld, regardless of its strength g . 4. Maximum entropy processes. ±ind the maximum entropy rate stochastic processes { X i } ∞∞ subject to the constraints: (a) EX 2 i = 1 , i = 1 , 2 , . . . , (b) EX 2 i = 1, EX i X i +1 = 1 2 , i = 1 , 2 , . . . . ±ind the maximum entropy spectrum for the processes in parts (a) and (b). 2...
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 Spring '05
 TomCover
 Information Theory, Energy, Entropy, Probability theory, Stochastic process, entropy rate

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