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1. Consider a source with 4 symbols {a,b,c,d}. The probability of the 4 symbols are
P(a)=0.4, p(b) = 0.1, p(c)=0.2, p(d)= 0.3.
a. Design a Huffman codebook for these symbols. Determine the average bit rate and compared it to the entropy of this source.
b. Code the sequence {aacddacbda} using the codebook you designed. Write the resulting binary bitsteam. Calculate the average bit rate.
Determine the equation of the plane that consists of the points P = (1, -2, 0), Q = (3, 1, 4) and R = (0, -1, 2). Solution To write down the equation of plane there is a re
Standardization of Variables - Before we use the general distribution curve to determine probabilities of the continuous variables, we require standardizing the original units
log base 5 (3-2x) + log base 5 (2+x) = 1
In addition and subtraction we have discussed 1) Some ways of conveying the meaning of the operations of addition and subtraction to children. 2) The different models o
introduction to decimals
Solve the subsequent IVP Y'' - 9 y = 0, y(0) = 2, y'(0) = -1 Solution First, the two functions y (t ) = e 3t and y(t ) = e -3t That is "nice enough" for us to
Formulas Now there are a couple of nice formulas which we will get useful in a couple of sections. Consider that these formulas are only true if starting at i = 1. You can, obv
We here move to one of the major applications of differential equations both into this class and in general. Modeling is the process of writing a differential equation to explain a
What are the factors of 956
-6x-4y=-6 x+2y=-3
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