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Is the Gaussian approximation to P(w | D, α) too heavy-tailed or too light-tailed, or both? It may help to consider P(w | D, α) as a function of one parameter wi and to think of the two distributions on a logarithmic scale. Discuss the conditions under which the Gaussian approximation is most accurate.
Six grams of helium (molecular mass = 4.0 u) expand isothermally at 320 K and does 9000 J of work. determine the ratio of the final volume of the gas to the initial volume
A disk of radius R and mass M = 10 g is rotating freely about a fixed axis through its center with angular velocity w = 11 rad/s. A spider of mass m = 0.5 g descends onto the disk and goes along for the ride. The moment of inertia of the disk is I..
The transverse displacement (y) of a wave is given as a function of position (x in meters) and time (t in seconds) by the expression to the right. Determine the wavelength, frequency, period, and phase constant of this waveform.
A note on a piano has a frequency of 440 Hz. If the tension in the 0.50-m-long string is 485 N and one-half wavelength occupies the string, what is the mass of the string
A tank contains 0.804 mol of molecular nitrogen (N2). Determine the mass (in grams) of nitrogen that must be removed from the tank in order to lower the pressure from 41.2 to 19.9 atm. Assume that the volume and temperature of the nitrogen in the tan..
The splitting of ATP can be schematically given as ATP H2O ?ADP P. what is the equilibrium constant at the temperature
a 2.0 microf capacitor and a 4.0 microf capacitor are connected in series across 1000v. the charged capacitor are then
A man of mass 71.6 kg is forced to stand on the very end. If the end of the board drops by 5.60 cm because of the man's weight, find the shear modulus of the wood.
A 64-kg runner rounds a circular track of radius 63.7 m at a constant 5.30 m/s. Find the magnitude of her momentum changes after she has gone one-fourth of the circle
A transverse sinusoidal wave on a string has a period T = 36.0 ms and travels in the negative x direction with a speed of 30.0 m/s. At t = 0, What is the maximum transverse speed of the string
A heater coil connected to a 240-Vrms ac line has a resistance of 45. what is the average power used? What is the maximum value of the instantaneous power?
A 9.00 kg box slides across a level floor such that its speed changes from 4.50 m/s to 1.20 m/s over a distance of 4.00m. How much work was done by friction? What was the work done by gravity?
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