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(a) The random variable Dn in Section 2.7.4 was defined as the initial string length of encoded bits required to decode the first n symbols of the source input. For the run-length coding example in Exercise 2.23, list the input strings and corresponding encoded output strings that must be inspected to decode the first source letter, and from this find the pmf function of D1.
(b) Find the pmf of D2. One point of this exercise is to convince you that Dn is a useful rv for proving theorems, but not an rv that is useful for detailed computation. It also shows clearly that Dn can depend on more than the first n source letters.
The concrete slab shown in Figure 1 is subjected to the ultimate uniformly distributed load of q(kN/m2 ). The positive moments per unit length of the slab in X and Y directions perpendicular to the reinforcement are assumed to be 20kNm/m and 12kNm..
A sample of dry sand with a specific gravity total of 16.49 kN/m3 and a relative density of 2.67 grains, is placed outdoors. During a rainy period, the sample volume remains constant but the degree of saturation increases to 40%.
Determine the highest temperature that air can be heated by heat addition while the mass flow rate remains constant.
If I have a block that has dimensions 5m*5m*5m and it is anchored in fresh water with a cord, the weight of the block is 2, 000 lbs, and the tension in the cord is 3,000lbs. What is the depth that the block will be in the water
Bars AB and CD are made of A-36 steel and 2014-T6 aluminum alloy,respectively. When the temperature is at 75degreeF, ACE is in the horizontal position.
Why did the leg collapse? What effects or details did the designer ignore - Redesign the stillage to avoid similar incidents in future, without increasing its footprint (width, length) since space is needed around it for testing.
Disk A of constant thicness and is at rest when it is placed in contact with belt BC, which moves with constant velocity v. Denoting by uk the coefficient of kinetic fr4iction between the disk and the belt.
A syringe is pointed vertically up in the air and a force of 5 lbs is applied to the plunger with a diameter of 0.5 inches. Assuming no losses in the system how high will the stream of water rise above the syringe
A circular concrete pipe (n = 0.012) carries a discharge of 450 cfs with a slope of 0.008 and is designed to run no more than 60% full (by depth). What diameter pipe would you recommend
A particular mixed flow pump is operating just below the point of cavitation. The pump is sited with its intake 3 m above the water level in the reservoir and delivers 0.05 m3/s.
The acceleration of a particle along a straight line is defined by a=(2t-9)m/s^2, where t is in seconds.At t=0, s=1m, and v=10 m/s. When t=9s, determine the particles position, the total distance traveled, and the velocity.
Determine the actual field weight required to mix a 4 bag mix using the mix proportions given below. The excess moisture contet of the sand is 6% and that of the gravel is 2% Component Weight ..
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