Many languages do not use the characters of u. s. english. suppose you wanted to be able to encode the characters of every language on earth within a single protocol. guess how many characters would need to be encoded and calculate the number of bits that would be required per character. then discuss the benefits and drawbacks of using this single unified system.

Using the artofstat website, run a permutation test to see if there is a difference in the mean amount of time spent on emails per day between in state and out of state students. (make sure to generate 10,000 permutations.) in state students: 2 3 3 6 2 1 1 5 3 2.5 out of state students: 1 2 2 1 2 1 4 3 9 1 10 1 3 what is the p-value?

Show that there is a language a ⚆ {0, 1} â— with the following properties: 1. for all x â a, |x| ≤ 5. 2. no dfa with fewer than 9 states recognizes a. hint: you don’t have to define a explicitly; just show that it has to exist. count the number of languages satisfying (1) and the number of dfas satisfying (2), and argue that there aren’t enough dfas to recognize all those languages. to count the number of languages satisfying (1), think about writing down all the strings of length at most 5, and then to define such a language, you have to make a binary decision for each string about whether to include it in the language or not. how many ways are there to make these choices? to count the number of dfas satisfying (2), consider that a dfa behaves identically even if you rename all the states, so you can assume without loss of generality that any dfa with k states has the state set {q1, q2, . . , qk}. now think about how to count how many ways there are to choose the other four parts of the dfa.

Which operating system is a version of linux?