Which of the following is one of the advantages of the asymptotic running-time analysis of algorithms? Select one: A. It is not necessary to give precise descriptions of algorithms. B. Such analysis can be used to identify errors in algorithms. C. It is a sufficient to implement only two algorithms and compare them. D. Such analysis is independent of a programming language.  E. Such analysis gives the actual running times of the algorithm for all sizes of input

The mathematical functions introduced in Chapter 4 can be used to compute and simulate engineering and scientific issues. In these cases, we formulate the mathematical issue and then use the computer to perform computations and simulations. Can a computer programme solve a math problem and develop mathematical formulas, i.e., can it perform the functions of a mathematician?

4 We learned an algorithm for converting any DFA into a regular expression. This problem asks you a few questions about that algorithm. a) In the first phase of the algorithm, we must modify the automaton to make sure it satisfies some properties that are necessary for the algorithm to work correctly. What are those properties? b) Demonstrate how to do the first phase using the DFA below. start - 0,1 c) In the second phase, states are "ripped out" of a GNFA until only two states remain. Using that process, show what happens when state a is ripped out of the GNFA shown below. (You don't have to complete the process, just do this one step.) start (OU1) 010

Discrete Structures