The internet is based on which three key technologies?.

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.

People with high self-esteem: accept their strengths and weaknesses. believe that failed experiences are failures of their whole self. feel good about who they are only when they reach total success. need positive external experiences to counteract negative feelings that constantly plague them.

Draw the resistor’s voltage and current phasors at t=15ms. draw the vectors with their tails at the origin. the orientation of your vectors will be graded. the exact length of your vectors will not be graded.