Consider the following Turing Machine for {a"b"c"}. Determine whether each of the following input tapes is accepted or not and find in which state the machine halts and how the tape has been changed at halt. See the example in the table below, and fill the rest of the table. [Note: ɛ stands for empty string] 90 B/B,R a/X,R b/b,R Z/Z,R a/a,R b/Y,R Y/Y,R C 91 92 96 c/Z,L a/X,R X/X,R 94 93 a/a,L Y/Y,R Y/Y,L Z/Z,L B/B,R 95 Y/Y,R U zizR

Let the universe of discourse be the set of negative integers. By selecting True or False, give the truth value of the following: ForEvery x (| 2x + 1 | > 1). True False

Consider this evaluation function for Chess: 9* (QWQB) + 5*(RW - RB) + 3*(KW - KB) + 3*(BW - BB) + 1*(PW - PB) where: QW denotes the number of Queens that White has, QB denotes the number of Queens that Black has, and so on (the shapes and letters for pieces are shown below). ด KING QUEEN BISHOP KNIGHT ROOK PAWN Q B K R P Calculate the evaluation function value for the following game state: 1 ♡ 7

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Please write Turing machine code that computes the function f(x) = 3x. Below is an example of some Turing machine code for reference on how the code should look. this does NOT mean that this is the correct way to start the code. this is just an example of the format I need.  1,B,R,2 2,1,R,2 2,B,1,3 3,1,L,3   Assuming x = 2, the starting tape should look like this: B|1|1|B and end up like thisB|1|1|1|1|1|1|B   Or if x = 3, the starting tape should look like this:B|1|1|B and end up like thisB|1|1|1|1|1|1|1|1|1|B Please do not use chatgpt for this, it does not compute the correct answer I tried a million times. I keep getting answers from tutors here that are from chatgpt and it always ends up being incorrect for Turing machine code. Please feel free to check your answer with this Turing machine editor: https://amrits7.github.io/TuringMachineEditor/

. Consider the alphabet Σ = {0,1}. Give regular expressions generating the following lan- guages. (a) {w ¤ Σ* | w begins with a 0 and ends with a 1} (b) {w € Σ* | w contains at least four Os} 1* (c) {w € Σ* | w contains the substring 1101} (d) {w € Σ* | w has length at least 4 and its third symbol is a 0} (e) {w € Σ* | w begins with a 0 and has even length, or begins with a 1 and has odd length} (f) {€,0} (g) The empty set (h) All strings over Σ (i) All strings over Σ except the empty string

What Python code will solve the following: The goal of this section is to estimate the probabilities Pij (transition probabilities) associated with finding food from any location (i, j) inside the maze. A rat will be considered successful in finding food if the probability of finding food from a given location exceeds 0.5. 1. Use Equation (1) to write down equations for each probability Pij for i = 1, 2, · · · , 6, j = 1, 2, 3, · · · , 5. Equation 1 is : Pij = 1/4Pi-1j + 1/4 Pi+1j +1/4 Pij-1 + 1/4Pij+1 2. Notice that your equations constitutes a system of linear equations with 30 equations and 30 unknowns, with the unknowns as the transition probabilities. Identify the coefficient matrix for the system of equations and write your system in the form Ap = b, where b is some constant vector and p the vector of transition probabilities, ordered from the upper left hand corner of the maze to the lower right hand corner. The goal is to solve the system for p. 2 3. How would you characterize…