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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.
Verify Liouville''''s formula for y "-y" - y'''' + y = 0 in (0, 1) ?
Kim is a medical supplies salesperson. Each month she receives a 5% commission on all her sales of medical supplies up to $20,000 and 8.5% on her total sales over $20,000. Her tota
Standard form of the line Let's begin this section off along a quick mathematical definition of a line. Any equation that can be written in the following form,
Constrcut the adjacency matrix and the adjacency lists for the graph G belowr.
if a circles diameter is 42 mm its radius is _________________ because ________________________.
using the formula sin A =under root 1+ cos2A /2 . find value of 30 degree, it is being given that cos 60 degree =1/2.
State DeMorgan's law. Prove it using the truth table. Ans: DeMorgan's law defines that (i) (x ∨ y)' = x' ∧ y' (ii) (x ∧ y)' = x' ∨ y' Now let us dr
how to solve temperature converting
Differentiate following functions. (a) R ( w) = 4 w - 5 log 9 w (b) f ( x ) = 3e x + 10x 3 ln x Solution : (a) It will be the only example which doesn't includ
Explain Adding and Subtracting in Scientific Notation? To add or subtract numbers in scientific notation, the numbers must be expressed so that they have the same exponent.
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