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(a) Show that in a code of M code words satisfying the Kraft inequality with equality, the maximum length is at most M - 1. Explain why this ensures that the number of distinct such codes is finite.
(b) Consider the number SM of distinct full code trees with M terminal nodes. Count two trees as being different if the corresponding set of code words is different. That is, ignore the set of source symbols and the mapping between source symbols and code words. Show that (S2) = 1 and show that, for M > 2,
a 200 lb divers stands on the end of the diving board. determine the shear force and bending moment diagrams
It is desirable to produce a copper-nickel alloythat has a minimum noncold-worked tensile strength of 380 MPa(55,000 psi) and a ductility of at least 45% EL. Is such an alloypossible? If so, what must be its composition? If this is notpossible, then ..
A sealed tank contains oil (SG = 0.83) for a height of 2 m and air at an absolute pressure of 136.3 kPa above the oil. If a piezometer is attached to the side of the tank at the bottom, what will be the height of oil column within the piezometer?
Determine the magnitude of the average force acting on a highway bumper when a 5000-lb car traveling at 60 mph crashes against it. The time interval during which the car is brought to rest is 0.3 s.
A composite price index for the cost of vegetarian foods called eggs, artichokes, and tofu (EAT) was 330 ten years ago and has averaged an annual increase of 12% since. Calculate the current value of the index.
A local rental yard said that they will supply you the loader for $50.00 per hour plus $4.15 sales tax not including any operating costs. You need to analyze what it would cost your company to purchase the loader instead of renting it.
A piston-cylinder device contains helium gas initially at 150 kPa, 20°C, and 0.5 m3. The helium is now compressed in a poly-tropic process (PVn=constant) to 400 kPa and 140°C.
sled and rider with a total weight of 200 lb travel down smooth slope defined by equation y=x^2/20. At x=40 ft the sled's speed is 10 ft/s. At x=40 ft determine rate of increase of speed and the normal force which the slope exers on the sled.
A 5000 lb truck is being used to lift a 1000 lb boulder B that is on a 200lb pallet A. Knowing the acceleration of the truck is 1ft/s^2, determine a) the horizontal force between the tires and the ground, b) the force between the boulder and the p..
The x-component of a velocity field is ax+b.If the flow is steady, two-dimentional and incompressible; generate an expression for velocity component in the y-direction as a function of x and y.
A coal fired power plant can be modeled as a heat engine. If the power output of the plant is 200 MW and the thermal efficiency is 42%, determine the amount of coal used per day if the heat of combustion from the coal is 24,000 kJ/kg.
For a flow of 2 MGD, an influent BOD of 200 mg/l, a depth of 8 feet, and a desired effluent BOD concentration of 20 mg/l, determine the volume required for trickling filtration treatment as predicted for single-stage treatment by using NRC equatio..
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