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Finding the partition function Z of a probability distribution is a difficult problem. Many Markov chain Monte Carlo methods produce valid samples from a distribution without ever finding out what Z is. Is there any probability distribution and Markov chain such that either the time taken to produce a perfect sample or the number of random bits used to create a perfect sample are related to the value of Z? Are there some situations in which the time to coalescence conveys information about Z?
A stone is thrown horizontally from the top of a 37 meter house. The stone hits the ground at a point 19 meter from the base of the tower. Compute the speed with which the stone was thrown
While the dried up seed pod of a scotch broom plant bursts open, it shoots out a seed with an initial velocity of 2.4 m/s at an angle of 60° above the horizontal.
A neutron with mass of approximately 1.00 u and speed of 100 m/s strikes the nucleus of a lead atom head-on. how fast will each particle move after the impact
The star Sirius is a distance of 8 light-years from the earth. If Sirius abruptly stopped shining, how much longer would it be seen on earth?
a mass of 14 slug is attached to a spring having a spring constant of 1 lbft. the mass is started in motion by
Estimate the work done by the force in displacing a particle from x = 1.0 m to x = 3.5 m. Calculate the work using integration
A luminous object is 5.00 m from a wall. You are to use a concave mirror to project an image of the object on the wall, with the image 2.23 the size of the object
A well-insulated piston- cylinder device contains 6kg of superheated R-134a initially at 0.10Mpa and -10 degrees Celsius is compressed to a final state at 0.50mpa and 80 degrees Celsius. find the work required for this compression process
A bug walking on the circular rim of a flower pot completes one lap around the planter in 9.454 second. If the radius of the planter is 11 centimeter, calculate how fast was it traveling
A 250 g, 40.0-cm-diameter turntable rotates onfrictionless bearings at 61.0 rpm. A 17.0 g block sits at the center of the turntable. What is the turntable's rotation angular velocity when the blockreaches the outer edge
The electric field midway between two equal but opposite point charges is 713N/C, and the distance between the charges is 17.7cm. What is the magnitude of the charge on each
A tennis player swings her 1000 gram racket with a speed of 11 m/s. She hits a 60 gram tennis ball that was approaching her at a speed of 17 m/s. evaluate the average force that the racket exerts on ball
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