Big O - algorithm comparison

Suppose program A takes (2^n)/1000 units of time and program B takes 1000(n^2) units. For what values of n does program A take less time than program B. I am really looking for a detailed explanation on this problem - to check my answer. Thanks.

Big O Problem

The following is a big-oh relationship: n^10 is O(3^n) Please give witnesses n0 and c that can be used to prove the relationship. Choose your witnesses to be minimal, in the sense that n0-1 and c are not witnesses, and if d < c, then n0 and d are not witnesses. As a side note to the problem -- it may not be clear what ...continues

Big O Problem - Proof

Show that F(n) + g(n) is O(max(f(n),g(n))). Any detail is appreciated.

Big O Problem

Show that if: T(1) = a T(n) = T(n-1) + n^k, for n > 1 then T(n) is O(n^(k+1)). You may assume k>=0. Also, show that this is the tightest simple big-oh upper bound, that is, that T(n) is not O(n^m) if m < k+1. Hint: Expand T(n) in terms of T(n-i), for i = 1,2,..., to get the upper bound. For the lower bound, show that ...continues

Big O Problem

Consider the recurrence T(1)=a T(n)=cT(n/d)+bn^k, for n a power of d Iteratively expand T(n) in terms of T(n/d^i) for i=1,2,.... Show that a) if c > d^k, then T(n) is O(n^logd c) b) if c = d^k, then T(n) is O(n^k log n) c) if c < d^k, then T(n) is O(n^k)

convert structure to matlab m-file

Convert the following structure plan into a function m-file with two inputs (M and N): Get M and N values if M does not equal round(M) Give error message that inputs must be integers end if if N does not equal round(N) Give error message that inputs must be integers end if while remainder of M divided by N is not ...continues

Objects and classes

Design an inventory Class that can hold information and calculate data for items in a hardware store's inventory. The Class should have the following private member attributes: (See attachment for full question)

Pleaes provide the following information

Describe a situation or program that would use a decision structure and a loop.

Please create a flow chart for the following

Create a flowchart foe the following problem: You have a file containing the grades of students from Beginning Programming, along with the students' information. Your part of the program has to loop through the records, and make sure that any student who has received a 'D', 'W', 'I', or 'F' in the course will not be able to m ...continues

Shortest Prefixes

Shortest Prefixes Input: Prefix .in Output: Prefix .out A prefix of a string is a substring string at the beginning of the given string. The prefixes of "carbon" are: "c", "ca", car", "carb", "carbo", and "carbon". Note that the empty string is not considered a prefix in this problem, but every non-empty string is conside ...continues