Question 1

The order of an algorithm provides a lower bound to the algorithm's growth function.

Accepted Answer

The order of an algorithm typically refers to its upper bound, describing how the execution time or space requirements grow with the size of the input.

Question 2

If the algorithm is inefficient, a faster processor will help.

Accepted Answer

A faster processor may improve execution speed slightly, but it won't solve the fundamental inefficiencies in the algorithm itself.

Question 3

The time complexity of a loop is found by multiplying the complexity of the body of the loop by how many times the loop will execute.

Accepted Answer

The time complexity of a loop is determined by multiplying the time complexity of the operations inside the loop by the number of iterations the loop will execute.

Question 4

The analysis of nested loops must take into account both the inner and outer loops.

Accepted Answer

In analyzing nested loops, the computational complexity is determined by considering both the inner and outer loops, as the total number of iterations is the product of the iterations of these loops.

Question 5

The order of an algorithm refers to the asymptotic complexity of the algorithm's growth function.

Accepted Answer

The order of an algorithm typically refers to its Big O notation, which describes the asymptotic complexity and how the runtime or space requirements grow as the size of the input increases.

Question 6

Method calls are always O(n).

Accepted Answer

Method call time complexity can vary and is not always O(n); it depends on the algorithm implemented within the method.

Question 7

What is the difference between the growth function of an algorithm and the order of that algorithm?

Accepted Answer

The answer of What is the difference between the growth...

Question 8

Why does speeding up the CPU not necessarily speed up the process by the same amount?

Accepted Answer

The answer of Why does speeding up the CPU not...

Question 9

How do we use the growth function of an algorithm to determine its order?

Accepted Answer

The answer of How do we use the growth function...

Question 10

How do we determine the time complexity of a loop?

Accepted Answer

The answer of How do we determine the time complexity...

Question 11

How do we determine the time complexity of a method call?

Accepted Answer