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The birthday problem may be related to a coding scheme. Assume we wish to convey a message to an outsider identifying one of the twenty-four people. We could simply communicate a number s from AS = {1, 2, . . . , 24}, having agreed a mapping of people onto numbers; alternatively, we could convey a number from AX = {1, 2, . . . , 365}, identifying the day of the year that is the selected person's birthday (with apologies to leapyearians). [The receiver is assumed to know all the people's birthdays.] What, roughly, is the probability of error of this communication scheme, assuming it is used for a single transmission? What is the capacity of the communication channel, and what is the rate of communication attempted by this scheme?
A fully loaded, slow-moving freight elevator has a cab with a total mass of 1310 kg, which is required to travel upward 50 m in 3.4 min, starting and ending at rest. The elevator's counterweight has a mass of only 960 kg, and so the elevator motor mu..
A ball thrown horizontally at 22.0 m/s from the roof of a building lands 36.0 m from the base of the building. How high is the building
Starting from rest, a basketball rolls from the top of a hill to the bottom, reaching a translational speed of 3.60 m/s. Ignore frictional losses. What is the height of the hill?
A bucket filled with water has a mass of 64.9 kg and is attached to a rope that is wound around a 0.4 m radius cylinder. Illustrate what torque does the bucket produce around the center of the cylinder?
An old-fashioned single-play vinyl record rotates on a turntable at 58.0\({\rm rpm}\), What are the angular velocity in rad/s and period of the motion
What is the relationship between the appearance of the sample and the NTU value?
A model rocket is launched from rest with an upward acceleration of 6.00 m/s^2 and, due to a strong wind, a horizontal acceleration of 1.50 m/s^2. How far is the rocket from the launch pad 6.00s later when the rocket engine runs out of fuel?
Two ideal inductors (0.124 H, 0.433 H) are connected in series to an AC voltage source with amplitude 5.17 V and frequency 113 Hz. What is the peak current that flows in the circuit
A football punter accelerates a football from rest to a speed of 9 m/s during the time in which his toe is in contact with the ball, what average force does the punter exert on the ball
A cylindrical capacitor consists of a solid inner conducting core with radius 0.300cm , surrounded by an outer hollow conducting tube. what is the charge per unit length lambda on the capacitor
The figure 23-32 shows a closed Gaussian surface in the shape of a cube of edge length 1.56 m. It lies in a region where the electric field is given by E = (3.63x + 2.67)i+ 6.69j + 6.82kN/C, with x in meters. What is the net charge (in Coulombs) cont..
A performer, seated on a trapeze, is swinging back and forth with a period of 9.95 s. what will be the new period of the system
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