Is it possible to find two infinite sets A and B such that
A ⊂ B and |A| = |B| = |B − A|?
If your answer is yes, then construct an example.
Is it possible to find two infinite sets A and B such that A ⊂ B and |A| = |B| = |B − A|? If your answer is yes, then construct an example.
Is it possible to find a finite set A such that |AA| = 27? If your answer is yes, then construct an example.
11. (a) Let A be the open interval (1,5), and let B be the interval (0,8). Define a bijection from A to B (b) Let A = (0,00) and let B = [0,00). Define a bijection from A to B. 12. Is it possible to find two infinite sets A and B such that If your answer is yes, then construct an example 13. Is it possible to find a finite set A such that [AAI = 27? 11. (a)...
3. Let X and Y be countably infinite sets. (a) Prove: If X and Y are disjoint then XuY is countably infinite. (b) Is the statement in (a) still true if we remove the hypothesis that X and Y are disjoint? If yes, justify your reasoning with a few sentences. If no, provide a counterexample. (P.S. "Counterexample” means that you have to explain why the example you provide demonstrates that the statement is false.)
3. Decide whether the following language is a CFL. If your answer is “yes”, construct a CFG; if your answer is “no”, prove it using the pumping lemma. L = {xayb | X, Y E {a,b}* and x, y has the same number of a’s}.
1. Give an example of two sets A and B such that A ¢ B, B ¢ A, but A n Bメ0.
Is this possible? yes or no Is it likely? yes or no Suppose you are a researcher in a hospital. You are experimenting with a new random sample of 13 patients. The period of effectiveness of the tranquilizer for each patient (in hours) is as follows: tranquilizer. You collect data from a Hours 2.2 2.7 2.1 2.6 2.6 2.3 2.4 2 2.4 2.1 2.9 2.2 2.5 a) What is a point estimate for the population mean length of time. (Round...
In two separate Punnett squares explain the possible outcomes for the children of two different sets of parents as follows: Set A parents are both carriers of polycystic kidney disease, Set B only one parent is a carrier of polycystic kidney disease. Explain your answer:
Is it possible to use packet switching instead of circuit switching? If yes, explain your answer?
Find an example of a sound or unsound deductive argument and construct your own. Outline or describe your argument but don’t define it as sound of unsound
For Σ = {a, b}, construct a DFA that accept the sets consisting of all strings with at least one b and exactly two a's. Note: provide input to thoroughly test the DFA.