the simple harmonic oscillatorpeople.ece.umn.edu/.../noiseinengbio2010/lectures/week3a.pdf ·...
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The Simple Harmonic Oscillator
Week3a Page 1
Position, Velocity are Gaussian
Week3a Page 2
NormalityMonday, February 01, 2010
7:28 PM
Week3a Page 3
Jointly Gaussanity of X and VMonday, February 01, 2010
7:32 PM
Week3a Page 4
Mean of X and VMonday, February 01, 2010
7:33 PM
Week3a Page 5
Mean of X and VMonday, February 01, 2010
7:36 PM
Week3a Page 6
Mean of X and VMonday, February 01, 2010
7:39 PM
Week3a Page 7
Variance of VTuesday, February 02, 2010
12:46 AM
Week3a Page 8
Ode for var{V}Tuesday, February 02, 2010
1:00 AM
Week3a Page 9
Ode for Var{X}Tuesday, February 02, 2010
1:05 AM
Week3a Page 10
Ode for Cov{X,V}Tuesday, February 02, 2010
1:08 AM
Week3a Page 11
Solution for second order statisticsTuesday, February 02, 2010
1:13 AM
Week3a Page 12
Solution for second order statisticsTuesday, February 02, 2010
1:22 AM
Week3a Page 13
Thermal EquilibriumTuesday, February 02, 2010
1:25 AM
Week3a Page 14
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