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Consider the source AS = {a, b, c, d, e}, PS = {1/3, 1/3, 1/9, 1/9, 1/9} and the channel whose transition probability matrix is
Note that the source alphabet has five symbols, but the channel alphabet AX = AY = {0, 1, 2, 3} has only four. Assume that the source produces symbols at exactly 3/4 the rate that the channel accepts channel symbols. For a given (tiny) > 0, explain how you would design a system for communicating the source's output over the channel with an average error probability per source symbol less than . Be as explicit as possible. In particular, do not invoke Shannon's noisy-channel coding theorem.
You are 1.9 m tall and stand 3.4 m from a plane mirror that extends vertically upward from the floor. What is the minimum height the mirror must have
An apple falls from a branch near the top of a tall tree. what is the apple's speed just before it hits the ground
Two plates separated by a distance 18.3 mm are charged to a potential difference of 7.25 volts. Using the concept of work-energy, calculate the change in kinetic energy, potential energy, and total energy of the charge
The string connecting the m1 and the m2 passes over a light frictionless pulley. Given m1 = 1.77 kg, m2 = 7.24 kg, m3=2.23 kg, and g = 9.8 m/s2. The acceleration of gravity is 9.8 m/s2 . Find the downward acceleration of m2 mass.
A satellite of mass 150kg is launched into orbit above the surface of the Earth in a circular orbit. what is the speed of the satellite in its orbit? What is providing the centripetal force on it? Find its value.
For the motion along the inclined plane, should the maximum kinetic energy of the cart be equal to the potential energy of the compressed spring (under ideal conditions)?
A ball and bat, approach one another each with the similar speed of 2.90 m/s, collide. Evaluate the speed of the ball after the collision
An observatory has an 8-inch Celestron telescope. Estimate the diffraction limit of this telescope. Estimate the minimum size a feature on the surface of the Sun must have to be resolved by this telescope.
A fire hose ejects a stream of water at an angle of 36.5 degrees above the horizontal. The water leaves the nozzle with a speed of 27.0 m/s. Assuming that the water behaves like a projectile, how far from a building should the fire hose be located to..
A 10 cm radius grind stone spins at a constant 400 rotations per second. After turning off the motor, the grind stone takes 26 seconds to come to a stop. What is the angular acceleration of the grind stone after the motor is turned off
A horizontal spring is lying on a frictionless surface. One end of the spring is attached to a wall, What is the speed of the object at the instant when the spring is stretched by0.042 m relative to its unstrained length
a fan is turned off and its angular speed decreases from 8.5 rad/s to 5 rad/s in 5.0s. what is the angular displacement of the fan
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