result of the following applications of substitution? P(x,y,z) {x/c, y/ f(a)}, where a and c are constants, x, y, z are variables. Q(x, y) {x/z, y/z}, where x, y, z are all variables.
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What is the result of the following applications of substitution?
- P(x,y,z) {x/c, y/ f(a)}, where a and c are constants, x, y, z are variables.
- Q(x, y) {x/z, y/z}, where x, y, z are all variables.
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- [Unbalanced Rod] Given a set of n weights {w₁,..., wn} and a rod of length n - 1 inches, we can attach the weights to the rod at hooks placed at one inch distances apart as shown in the figure below. -1". /10 2 3 12 2 4 We can attach a weight to any hook but no two weights can be attached to the same hook and we have to attach all the weights. For any given assignment of weights to hooks, we can compute the location of the center of mass of the rod and the weights according to the following equation (neglecting the weights of the rod and the hooks). where 0 ≤ Pi≤n-1 is the position of weight along the rod. For example, in the figure shown above, the center of mass is computed as C= C = i Wi Pi Σi Wi 10 0+2 1+3·2+4·3+12.4 +2.5 10+2+3+4+12+2 78 33 The problem is to find an assignment of weights to hooks that makes the center of mass as far as possible to the left, i.e., minimize the value of c. Answer the following questions. 1. Describe a greedy algorithm that finds the assignments that…Programing C Just with #include Matrix Addition and Subtraction (Associatively) Write a program that performs matrices addition and subtraction. As shown in the example below, you have to ask the user for the number of rows and number of columns that both matrices should have (they both have to be the same size, that is why you only ask once). You will then ask the user for the values of each matrix. Then, you will print the values that the user inputted, the added values of both matrices, and the subtracted values (matrix 2 should be subtracted from matrix 1). In this challenge Guidelines/steps: • The number of rows and the number of columns should be global variables. • Once you get these two from the user, you should declare your two matrices in main. • Then, from main, you will call function aaa twice; first, you will send matrix 1 and populate it with values inputted by the user. You will call the function a second time, send matrix 2 and populate it. In other words, function aaa…2.a Σ : {c,A,G,T}, L = { w : w = CAG™T™C, m = j + n }. For example, CAGTTC E L; CTAGTC ¢ L because the symbols are not in the order specified by the characteristic function; CAGTT ¢ L because it does not end with c; and CAGGTTC € L because the number of T's do not equal the number of A's plus the number of G's. Prove that L¢ RLs using the RL pumping theorem.
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- code for this in C: Write a program that reads two matrices of integers. It then generates the sum and difference of the two matrices. The sum of the two matrices of the same size is a matrix with elements that are the sums of the corresponding elements of the two given matrices. Addition is not defined for matrices of different sizes. If A and B are matrices of the same size, then we define subtraction as follows: A – B = A + (-B). Thus, to subtract matrix B from matrix A, we simply subtract corresponding elements.8. using c++, Write a function method that determines the mean of all the values in an array of integers. Your mean function should call a separate function that you write that determines the sum. Don’t use built-in sum or mean gadgets, but roll your own.Write recursive functions for the following equations:a. Harmonic number is defined by the equationb. Fibonacci numbers are defined by the formula:FN = FN-2 + FN-1, for N ≥ 2 with F0 = 0 and F1 = 1
