Hello, I would like to get help with the following question, thanks in advance.
Order the following functions according to their asymptotic growth rate. Justify the ordering.
n2 --- n! --- (lg n)! --- (3/2)n --- ln ln n --- nlg(n) --- n2n ---- ln n --- en ---- n ---- sqrt(n) ---- 1
--- n(1/lg n) --- ln2(n) --- 2n --- lg(n!)
PLEASE FIND THE ANSWER(S) and EXPLANATION BELOW.
Hello, I would like to get help with the following question, thanks in advance. Order the...
Question 6 !! Thanks Order the following functions according to their order of growth (from the lowest to n!, n lg n, 8 lg (n + 10)^10, 2^3n, 3^2n, n^5 + 10 lg n Prove that a + lg(n^k + c) = Theta (lg n), for every fixed k > 0, a > 0 and c > 0. Determine the complexities of the following recursive functions, where c > 0 is the operations in the functions. (You may assume that...
Hello, I would like to get help with the following algorithms and their respective analysis of runtime along with their recurrence equations, thanks in advance. 1. Analyze each of the following algorithms by providing a tight big-Oh bound on the run time with respect to the value n. Create a recurrence equation. a. void padawan(int n) { if( n <= 10 ) time++; else { for(int i=0; i<n; i++) time++; padawan(n/3); padawan(n/3); padawan(n/3); } } b. void nerfHerder(int n)...
Need help with 1,2,3 thank you. 1. Order of growth (20 points) Order the following functions according to their order of growth from the lowest to the highest. If you think that two functions are of the same order (Le f(n) E Θ(g(n))), put then in the same group. log(n!), n., log log n, logn, n log(n), n2 V, (1)!, 2", n!, 3", 21 2. Asymptotic Notation (20 points) For each pair of functions in the table below, deternme whether...
I need help with question 2, 3 and 4 please. Thanks in advance. Answer the following questions: 1. Prove that any polynomial of degree k is O (nk 2. By finding appropriate values ofc and no, prove that: f(n) 4 n log2 n + 4 n2 + 4 n iso(n2). 3. Find functions fi and fi such that both fi(n) and /i(n) are O(g(n)), but fi(n) is not OG(n)) 4. Determine whether the following statements are true or false. Briefly...
Indicate whether the first function of each of the following pairs has a smaller, same or larger order of growth (to within a constant multiple) than the second function. Justify your answer (1) n(n2+1) and 2000 n2 + 34 n (2) ln n and lg n (3) 2n-1 and 2n (4) 2 n2 and 0.001 n3 – 2 n
Order the following functions by asymptotic growth rate. 2n log n + 2n, 210, 2 log n, 3n + 100 log n, 4n, 2n, n2 + 10n, n3, n log n2
Hello! I'm needing help on this question. Thanks in advance! I will rate :) 3. Determine the Fourier transform of the non-periodic signals shown in the figures below: (a) (b) -2 0 2 -1 0 1
Hey, I really need help understanding the math get the answer that is given. Please help. Thanks in advance. for (int k =0; k s Ign; k++) {for (int i =0; is n2; i++) Print “Hello World"; for (int j =0; j s n; j++) Print “Hello World"; } When n = 2, how many times will “Hello World” be printed?16 When n =4, how many times will “Hello World” be printed? 66 Assuming that the print is the basic...
3-3 Ordering by asymptotic growth rates a. Rank the following functions by order of growth; that is, find an arrangement 81,82, 830 of the functions satisfying gi = Ω(82), g2 Ω(83), , g29 = Ω(g30). Partition your list into equivalence classes such that functions f(n) and g(n) are in the same class if and only if f(n) = Θ(g(n)) Chaptr3 Growth of Functions 1n In Inn lg* g nn-2" n'ln Ig nIn n 2" nlgn 22+1 b. Give an example...
Hello! Can I get help with these two questions? Thanks! :) 9. Consider an economy with the following aggregate production function F(KL) = AKL, where A = Ag and g is per-capita government purchases. An increase in 9 __ the of per capita GDP. A. Raises: Steady-state level B. Raises; Growth rate C. Decreases: Steady-state level D. Does not affect; The level or growth rate and ideas are 10. According to the Romer model, objects are A. Nonrivalrous; Nonrivalrous B....