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f every transmitted packet were created by adding together source packets at random with probability 1/2 of each source packet's being included, show that the probability that K' = K received packets suffice for the optimal decoder to be able to recover the K source packets is just a little below 1/2. [To put it another way, what is the probability that a random K × K matrix has full rank?
A spiral staircase winds up to the top of a tower in an old castle. To measure the height of the tower, a rope is attached to the top of the tower and hung down the center of the staircase. What is the height of the tower
Two charges q1 = 6 µC, q2 = -49 µC, are L = 19 cm apart. A third charge is to be placed on the line between the two charges. How far from q1 should the third charge be placed so that the net electric force on the third charge is minimized?
At a dock, a crane lifts a 2910 kg container 29.00 m, swings it out over the deck of a freighter, and lowers the container into the hold of the freighter, which is 20.50 m below the level of the dock. How much work is done by the crane
The calorimeter is constructed of a material that has a specific heat of 0.10 cal/ g. ^{circ}C. When equilibrium is reached, what will be the final temperature.
the normal human eye has maximum visual acuity with a pupil size of about 3 mm. for larger pupils acuity decreases due
An electric eld of magnitude 3.5 kN/C is applied along the x axis. Calculate the electric flux through a rectangular plane 0.35 m wide and 0.7 m
A stretched rubber band has the length of 0.04 m and a fundamental frequency of 462 Hz. What is the speed at which waves travel on the rubber band.
what is the amount of work required to move a positive test charge of 1 micro-coulomb from the inside edge of the
A projectile is launched with a speed of 37 m/s at an angle of 57 degree above the horizontal. Use conservation of energy to compute the maximum height reached by the projectile during its flight
An automobile tire is rated to last for 50,000 miles. To an order of magnitude, through how many revolutions will it turn
Explain what would happen to the length of a meter stick traveling near the speed of light with its long dimension perpendicular to the direction of motion
The suspended 2.82 kg mass on the right is moving up, the 2.2 kg mass slides down the ramp, and the suspended 8.1 kg mass on the left is moving down. There is friction between block and ramp. What is the acceleration of a three block system.
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