1)Construct a truth table for each of the following
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1)Construct a truth table for each of the following
a) ~q ---> p
b) (p v q) ---> (q v p)
c) (~p ---> ~q) ----> (p ^ q)
d)[(r v p) ^ ~ q) ] ---> p
e) [(r ^ p) ^ (p ^ q)] ---> p
Step by step
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- Let C be a linear [n, k]-code with alphabet GF(q). Let C+ be any code obtained from C by lengthening, that is, first adding one extra bit to every codeword of C and then adding one extra row to a generating matrix for C while maintaining linear independence. (a) Find the length and dimension of C+. (b) Suppose C is perfect and 1-error-correcting. Prove C+ cannot be 1-errorcorrecting.we represent the finite-length signals as vectors in Euclidean space, many operations on signals can be encoded as a matrix-vector multiplication. Consider for example a circular shift in C: a delay by one (i.e. a right shift) transforms the signal x = (xo X1 X2]" into x = [xı xo xz]" and it can be described by the matrix TO D = [0 1 0'0 0 1'1 0 0] so that x = Dx. Determine the matrix F that implements the one step difference operator in C ie the operator that transforms a signal x into [(x - x)(x1 - x0)(x2 - 1)]Observe the following two Sequential Search and Binary Search algorithms in the image. Perform a comparative analysis of the Sequential Search and Binary Search algorithms in terms of the number of basic operations executed by the two algorithms. A. Calculate and analyze the time complexity T(n) and the efficiency class of the two search algorithms in the worst case. B. Write an example case by writing down the elements for different data sizes, for example n=4, 8, ... Please specify the elements of table A and the data you are looking for, x. Write an illustration of the comparison process for every n to confirm the complexity of the algorithm in point a). C. Describe your opinion regarding the comparative analysis of the efficiency of the two algorithms! Please solve subparts A,B,C in 60 minutes ASAP can u get thank u
- Consider the following 10 data points: X=((2.0.1.-3.-2), (0, 2.-3.-3.-2), (1, 2.1, 3.-2),(-1,1,3,2,-1), (1,0, 1,-1, 1), (2.3,-1,1,-2), (-2.3, -3,3, 2), (-2,-2.2.3,-2).(-2,-3, 1.-2.-3), (-3.2.0.-1,-2)}. Compute the unit length principle components of X and choose two of them for PCA, then calculate the projection of each data on these two principal components. You could use python or matlab to obtain eigenvectors and eigenvalues.Minimize using Q-M f(a,b,c,d,e) = £m(0,1,4,5,6,13,14,15,22,24,25,28,29,30,31)Q_5 Suppose f:RZ where fx=2x-1.If A={x |1x 4}, find f(A).If B={3,4,5,6,7}, find f(B).If C={-9, -8}, find f^ - 1(C)
- Given and nxn matrix filled with either 0 or 1 your task is to turn as few 0 as possible into 1 such that every index meets the requirement that its neighbour (i+1,i-1,j+1,j-1) sum is even. return minimum no of zero you need to convert into 1, return -1 if no soltuion possible constraints : 1<=tc<=10 1<=n<=10 input: tc = 2 n = 3 1 1 1 1 1 1 0 0 0 n = 3 0 0 0 1 0 0 0 0 0 output : for first tc : -1 for second : 3Given g = {(1,c),(2,a),(3,d)}, a function from X = {1,2,3} to Y = {a,b,c,d}, and f = {(a,r),(b,p),(c,δ),(d,r)}, a function from Y to Z = {p, β, r, δ}, write f o g as a set of ordered pairs.Consider the following 10 data points: X= {(2,0, 1, -3, -2), (0, 2, -3, -3,-2), (1,2,1,3,-2), (-1, 1, 3, 2,-1), (1, 0, 1,-1, 1), (2, 3,-1,1,-2), (-2,3,-3, 3, 2), (-2,-2,2,3,-2), (-2,-3, 1, -2, -3). (-3, 2, 0,-1,-2)}. Compute the unit length principle components of X and choose two of them for PCA, then calculate the projection of each data on these two principal components. You could use python or matlab to obtain eigenvectors and eigenvalues.
- Pls Use Python Using NumPy, write the program that determines whether the A=({{1, 5, -2}, {1, 2, -1}, {3, 6, -3}}) matrix is nilpotent. Itro: Nilpotent Matrix: A square matrix A is called nilpotent matrix of order k provided it satisfies the relation, Ak = O and Ak-1≠O where k is a positive integer & O is a null matrix of order k and k is the order of the nilpotent matrix A . The following picture is an example of the intro: Ps: Please also explain step by step with " # "Q1 Consider an x-by-y logical containing n number of 0's and m number of 1's. Additionally, consider an x-by-y matrix (double). Which of the following outputs is true if the matrix is indexed with the logical? Select one: a. Output is a m-by-1 double b. Output is a n-by-1 double c. Output is an x-by-y double d. Output is an m-by-n double e. Output is an x-by-y logical Q2 Consider a text file that contains 19 rows of header text followed by 23 rows of numerical data. How many times will the fgetl() function need to be called to import the 9th row of numerical data in the text file? Select one: a. 23 b. 28 c. 14 d. 9 e. 1 Q3 Consider x to be an m-by-n matrix with m > n. Which of the following statements is true regarding y = ones(length(x))? Select one: a. The output of y will be an n-by-n matrix b. The output of y will be an m-by-m matrix c. The output of y will be an n-by-m matrix d. The output of y will be a 1-by-n vector e. The…(a) Given a DFA M = (Q, Σ, δ, q0, F), consider M' = (Q, Σ, δ, q0, F'), where F' = Q − F. Prove that L(M') is the complement of L(M). (b) Give a counter-example to show that the above construction with NFAs does not (always) yield the complement.