Which of the following statements are unsatisfiable? Select one or more: a. A- ¬A b. QA -Q O c. Bv ¬B O d. (PA Q)^ (¬P ^ (¬P → ¬Q))
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- True or false? All the binary operators except = are left associative.Let s1 be " Welcome " and s2 be " welcome ". Write the code for the following statements: (a) Check whether s1 is equal to s2 and assign the result to a Boolean variable isEqual.Correct answer only. Code and output screenshot. Nastia has 2 positive integers An and B. She characterizes that: The integer is acceptable in case it is detachable by A⋅B; In any case, the integer is almost acceptable, in case it is detachable by A. For instance, if A=6 and B=4, the integers 24 and 72 are acceptable, the integers 6, 660 and 12 are almost acceptable, the integers 16, 7 are neither acceptable nor almost great. Discover 3 unique positive integers x, y, and z to such an extent that precisely one of them is acceptable and the other 2 are almost acceptable, and x+y=z. Input The main line contains a solitary integer t (1≤t≤10000) — the number of experiments. The primary line of each experiment contains two integers An and B (1≤A≤106, 1≤B≤106) — numbers that Nastia has. Output For each experiment print: "Indeed" and 3 distinct positive integers x, y, and z (1≤x,y,z≤1018) to such an extent that precisely one of them is acceptable and the other 2…
- Let p be “It is raining" and let q be "It is snowing". Translate each of the following logical expressions into English statements. 1. -p V ¬q 2. рла 3. тр — д 4. р 9 5. -p:Q3: Answer the following Determine the value, true or false, of each of the following Boolean expressions, assuming that the value of the variable count is 5 and the value of the variable limit is -1. Give your answer as one of the values true or false. a. (count = ((0 c. (limit/count) > 7) || (limit < 20) IMI r263 LAlas Google la e 1ajall lals Juayl paeIndicate whether the argument is valid or invalid. For valid arguments, prove that the argument is valid using a truth table. For invalid arguments, give truth values for the variables showing that the argument is not valid.
- 1. The operator ↑ is complete. In other words, all the three operators -, V and A are representable by using ↑ only.Which of the following statements is/are correct? I. The language L accepts all the strings of a's and b's where the third symbol from left end is b. The regular expression for L is (a + b) b(a + b)*. II. The language L accepts all the strings of a's and b's where the number of a's in a string is divisible by 3. The regular expression for L is (b* ab* ab* ab* )*. III. The regular expression R=(a+b)“ . The number of states required to construct the minimal DFA for the regular expression R is n+2. (A) I and II (B) I and III (C) II and III (D) All are correctWhich of the following statements is/are correct? I. The language L accepts all the strings of a's and b’s where the third symbol from left end is b. The regular expression for L is (a + b)² b(a+b)*. II. The language L accepts all the strings of a's and b's where the number of a's in a string is divisible by 3. The regular expression for L is (b* ab* ab*ab*)* . III. The regular expression R =(a+b)" . The number of states required to construct the minimal DFA for the regular expression R is n+2. (A) I and II (B) I and III (С) II and III (D) All are correct
- Exercise III: Catalan numbers For n e N, denote by c, to be the number of ways to form a "mountain range" with n upstrokes (U) and n downstrokes (D) that all stay above a horizontal line. For instance: for n = 1, only UD is allowed, so c = 1; • for n = 2, only UUDD and UDUD are allowed, so c2 = 2. 1. Check that c3 = 5 by writing down or drawing all possible options. 2. Consider the power series +00 g(x) = 2 n=0 (by definition co = 1) called the generating function of the sequence (en). Justify that cn < 4" for each n, and deduce that the radius of convergence of g is at least 1/4. 3. It can be show that for r E (-1/4, 1/4), g(x) = 1+ xg(r)? and therefore 1- VI 4.x g(x) = 2.x Use this formula and the known power series of V1+ x to write the first terms of the power series expansion of g, in the form g(x) = co + c1x + c2x2 + C3x + c4x* + ·.. Show how you obtain a few terms, but you do not need to show all computations and you can use a calculator for fractions. Check that you recover co,…Correct the following wrong statements. All binary operators except for the assignment operators are evaluated as user intention.Find the wrong statement from the following? O a. Variable can be a keyword O b. Variable is a name O. Variable can change its value at any time O d. Variable can start with underscore