Fill In the Blanks (from Digital Citizenship Vocabulary 3): A is an alert that notifies a blog poster of a response to their post. A is a device that forwards data packets of digital information along networks. A program that searches for and finds items in an online database is a . A is a computer or device on a network that manages network resources. A series of messages that have been posted as replies to each other in online discussions is a . To deliberately post something offensive on the internet to provoke a reaction is to . An electronic display that senses physical touch by hands, fingers, or tool such as a stylus is a . fast as possible pleaseee.

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.

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2pointswho was mikhail gorbachev? oa. a russian leader who opposed a coupob. a polish leader who founded the labor union "solidarityoc. a soviet leader who called for a closer relationship with the unitedstates, economic reform, and a more open societyd. a soviet leader who called for more oppression in the soviet union