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Suppose S = {vi} and T = {ti} are "easy" sets of knapsak weight. Also, P and q are primes p > ?Si and q > ?ti. We can combine S and T into a signle set of knapsack weight as follows:
W = qs ? pT = {wi}= {qvi+pti}. Show:1- all sums of the form ?eiwi are distinct. (ei= 0,1)2- W is also an "easy" knapsack, that is solving ?eivi = n can be easily to solving ?eiwi= n1 and ?eiti= n2.
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.
Explain Concordant Form
let R be a (noncommutative) ring. Given that a,b and a+b ? R are all units, prove that a^(-1)+b^(-1) is a unit
?[1,99] x^5+2x^4+x^3+5x^2+6x+2÷x^2+2x
Alan had 6 books. He read 1/3 of books last week. How many books did Alan read last week?
Multiplication of complex numbers After that, let's take a look at multiplication. Again, along with one small difference, it's possibly easiest to just think of the complex n
How we Solve Polynomial Equations Using Factoring ? A polynomial equation is an equation that has polynomials on both sides. Polynomial equations can often be solved by putti
Relative measures of dispersion Definition of Relative measures of dispersion: A relative measure of dispersion is a statistical value that may be utilized to compare va
what marketing orientation is kelloggs influenced by?why do you think kelloggs use this approach?
1) Compute the center of mass of the solid of unit density 1 bounded (in spherical coordinates) by p=1 and by φ is greater than or equal 0 and less than or equal pi/4
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