When you test an application, you start by using data. Java.

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.

Cloud computing service providers manage different computing resources based on the services they offer. which resources do iaas and paas providers not manage? iaas providers do not manage the for the client, whereas paas providers usually do not manage the for their clients. iaas- storage server operating system network paas- applications interafce storage vertualiation

Helen's credit card has an apr of 15.32% and a grace period of 17 days and helen pays her balance in the full every month. if her last billing cycle ended on september 26, 2009, and she made her payment on october 11, 2009, did she owe any interest on her last statement's balance?