Question

In: Computer Science

Find the best possible relationship using one of the notations: O, Ω, Θ, o, ω, for...

Find the best possible relationship using one of the notations: O, Ω, Θ, o, ω, for the following pairs of functions: n 3 + 6n 1.5 + 3100 and n lg8 − 10n 1.6 − 9000; nlgn and n 1.01; 3n and (3.01)n ; 7n and n!. Justify each answer.

Solutions

Expert Solution


Related Solutions

Argue with proof that whether following asymptotic notations are transitive, reflexive, or symmetric. O(n); o(n); Ω(n);...
Argue with proof that whether following asymptotic notations are transitive, reflexive, or symmetric. O(n); o(n); Ω(n); ω(n); ϴ(n)
1. Find the big−O, big−Ω estimate for x7y3+x5y5+x3y7. [Hint: Big-O, big- Θ, and big-Omega notation can...
1. Find the big−O, big−Ω estimate for x7y3+x5y5+x3y7. [Hint: Big-O, big- Θ, and big-Omega notation can be extended to functions in more than one variable. For example, the statement f(x, y) is O(g(x, y)) means that there exist constants C, k1, and k2 such that|f(x, y)|≤C|g(x, y)|whenever x > k1 and y > k2] 2. Find a div b and a mod b when: (a) a = 30303, b = 333 (b) a = −765432, b = 3827 3. Convert...
Will it be possible to find the initial velocity using Newton
Will it be possible to find the initial velocity using Newton
Find Delta G^o for the following reaction, using delta Hf^o and S^o values. MnO2(s) + 2CO(g)...
Find Delta G^o for the following reaction, using delta Hf^o and S^o values. MnO2(s) + 2CO(g) -> Mn(s) + 2CO2(g)
Find the indefinite integral using the substitution x = 6 tan(θ). (Use C for the constant...
Find the indefinite integral using the substitution x = 6 tan(θ). (Use C for the constant of integration.) x sqrt 36 + x2 dx
14f) Fill in the blanks with the best possible answer listed One way countries try to...
14f) Fill in the blanks with the best possible answer listed One way countries try to get out of debt is to Monetize their Debt. This Involves Increasing_________(Q, M, V, P) which Increases_________(Q, M, V, P). This effectively transfers wealth from the Citizens to the Government and also from_________(Debtors, Lenders) to_________(Debtors, Lenders). In the long-term this hurts GDP growth as it decreases trust in the Government________(True, False). If you have a home loan or a car loan should you repay...
1. Is sacrificing one life to save the lives of many the best possible ethical outcome?...
1. Is sacrificing one life to save the lives of many the best possible ethical outcome? Why or why not? 2. When you chose to save the five people than the one life, does it show "the means justify the end" or "the end justifies the means"? Provide an explanation.
discrete structures problems 1.Find a limit to show that x(In(x2))3 is O(x2). Simplify when possible to...
discrete structures problems 1.Find a limit to show that x(In(x2))3 is O(x2). Simplify when possible to avoid doing more work than you have to. You will need to use L'Hôpital's rule at least once. 2.Suppose that f is o(g). What is lim(f(n)/g(n)) as n→ ∞? 3.Suppose that algorithm has run-time proportional to log n and takes 1 millisecond to process an array of size 3,000. How many milliseconds will it take to process an array of size 27,000,000,000 ? Hint:...
PYTHON Find anagrams of a word using recursion. This a possible run of your program: Enter...
PYTHON Find anagrams of a word using recursion. This a possible run of your program: Enter a word or empty string to finish: poster The word poster has the following 6 anagrams: presto repost respot stoper topers tropes
*NUMBER THEORY* 1.Find all the possible solutions for the following diphantine equations by using the euclidian...
*NUMBER THEORY* 1.Find all the possible solutions for the following diphantine equations by using the euclidian algorithim. You must show all the process to get credit. a.           3x + 5y = 7 b.           3x − 12y = 7 c.           1990x − 173y = 11 d.           21x + 48y = 6 e.           2x + 3y + 5z = 11
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT