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Consider the following two polynomials in F 17 [x] (a) Use Karatsuba's algorithm, by hand, to multiply these two polynomials. (b) Use the FFT algorithm, by hand, to
Sums and Differences of Cubes (and other odd powers)? You can factor a sum or difference of cubes using the formulas a 3 - b 3 = (a - b )(a 2 + ab + b 2 ) and a 3 + b 3 =
These can be expressed in terms of two fundamental operations of addition and multiplication. If a, b and c are any three real numbers, then; 1.
David wants to rent a movie. He wants to watch either a comedy or a drama. The movie rental store has 18 comedies and dramas available for rent. Seven of the movies are comedies, a
what is the derivatives of y=u/5+7 and u=5x-35 using the chain rule?
The remainder when 5^99 is divided by 13 Ans) 8 is the remainder.
A box contains 12 balls out of which x are black. If one ball is drawn at random from the box, what is the probability that it will be a black ball? If 6 more black balls are put i
Rules for Partial Derivatives For a function, f = g (x, y) . h (x, y) = g (x, y) + h
Q. Converting Mixed Numbers to Improper Fractions? Ans. Converting a mixed number to an improper fraction is easy. A single multiplication, and then a single addition:
We have seen that if y is a function of x, then for each given value of x, we can determine uniquely the value of y as per the functional relationship. For some f
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