Find The Time Complexity and The Space Complexity

Q: f(x) is O(g(x)) if and only if g(x) is Ω(f(x)).

A: Proof: given: f:R---->R g:R----->R f(x) is O(g(x)) so we can say |f(x)|≤c|g(x)|.........(1)…

Q: Given the following linear systems, find which one is time invariant. a. y(n) = -5x(n - 10) b. y(n)…

A:

Q: Plot t(dilated time) for t = 1 hr (proper time) at different speeds [v=0, 0.1c, 0.2c......0.99c, c]

A: Start Initialize v with given speeds Declare an empty list t to store the dilated time at different…

Q: Order the functions in increasing order

A: Given functions are: n2, n3, n!, nlog2n, n2, nlog10n, 3n, (log2 n)*(log2 n)

Q: Determine the big Θ for each and put the functions in their order from fastest time complexity to…

A: The given function n log n+n has a time complexity of Θ(n log n),indicating that its growth is…

Q: HW10_3 A Using Newton's second law, it can be shown that the period T of a pendulum with length Land…

A: The MATLAB code is as follows

Q: QI/ The ideal gas equation of state is given by: PV=nRT Where: P is the pressure (atm), V is the…

A: In questions with many inbuilt questions, we must answer the first one.

Q: Problem FIG can be solved in O(RK + R log log n) time using θ(R) space.Write Algorithm for it

A: Algorithm for Problem FIG:

Q: Given an n-element array X of integers, Algorithm A executes an O(n) time computation for each even…

A: Actually, Algorithm is an step by step process.

Q: EC 9. In the desert there is a jail. After rebellion the single guard has been immobilized. He…

A: Solution:   We will solve this with greedy algorithm. At any given time instant 't' measure the…

Q: Show that the Chandy-Lamport algorithm satisfies the safety criteria

A: The answer of the question is given below

Q: To prove that the Chandy-Lamport algorithm passes the safety condition, demonstrate that it does.

A: Given: Each distributed system has a number of processes running on a number of different physical…

Q: For each function f (n) and time t in the following table, determine the largest size n of a problem…

A: yes u r right. for each function f(n) and time t in the following table, determine the largest size…

Q: For function f(n)=log n and time t=1 second, determine the largest size n of a problem that can be…

A: - We have to get the maximum number n fow which the time to solve becomes 1 second.

Q: finding a and b for the following numbers: a) 15 b) 25.

A: 15 can be written as 11+4 = 11+2*2  => Our required a=11,b=2 and hence conjecture is shown.

Q: Q.1. Formulate an algorithm to find the shortest path using Dijkstra’s algorithm and explain with…

A: We maintain two sets, one set contains vertices included in shortest path tree, other set includes…