What does the following lambda expression compute: λ(x)x × x × x
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What does the following lambda expression compute: λ(x)x × x × x
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- Let A = {a, b, c} and B = {u, v}. Write a. A × B b. B × A[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…Computer Science Please reduce the lambda expression so that it is in normal form: (λa.a(λa.b a)) (λc.c)
- Part (a) Write a python function that computes the binomial coefficient ("). The function should return the correct answer for any positive integer n and k where k=m pass Part (c) Suppose that the number of people in the trial is 100. Then: • Plot a curve that shows how the probability of type 1 error changes with the choice of m, for m = 1,...n assuming that the null hypothesis holds (in red), • On the same picture, plot the probability of type 2 error vs the value of m in the case in which the new drug is effective with proability 0.68 (in blue). You can plot the two curves using matplotlib.pyplot. You can select the color by passing color='r' or color='b' to the plt.plot() function. [4]: n - 100 # your code here def plot_curve (): pass [5]: plot_curve() Part (d) Based on the picture above, what value of m do you think would be suitable to keep both type 1 and type 2 error small at the same time? (You may assume that the company claims the new drug has 68% accuracy) [6]: # your…Rewrite the following function definitions using lambda notation: f(x) = x + 1 f(x) = xGiven the following definitions: U={a,b,c, d, e, f, g} A={a, c, e, g} B={a,b,c,d} find A n B
- C++ program The Lo Shu Magic Square is a grid with three rows and three columns that has the following properties: • The grid contains the numbers 1 through 9 exactly.• The sum of each row, each column, and each diagonal all add up to the same number. This is shown in Figure 1: Figure 1: Lo Shu Magic SquareWrite a Boolean function isMagicSquare that accepts a two-dimenstional 3 × 3 array as an argument and returns true if it determines it is a Lo Shu Magic Square and false if it is not.Quadratic Root Solver For a general quadratic equation y = ax? + bx + c, the roots can be classified into three categories depending upon the value of the discriminant which is given by b2 - 4ac First, if the discriminant is equal to 0, there is only one real root. Then, if the discriminant is a positive value, there are two roots which are real and unequal. The roots can be computed as follows: -b+ Vb? – 4ac 2a Further, if the discriminant is a negative value, then there are two imaginary roots. In this case, the roots are given by b ь? - 4ас 2a 2a Programming tasks: A text file, coeff.txt has the following information: coeff.txt 3 4 4 4 1 4 Each line represents the values of a, b and c, for a quadratic equation. Write a program that read these coefficient values, calculate the roots of each quadratic equation, and display the results. Your program should perform the following tasks: • Check if the file is successfully opened before reading • Use loop to read the file from main…Assignment 1: Writing a mini-coder that shows the artesian coordinate equivalent of any point in cylindrical coordinates using the transformation matrix from Cylindrical Coordinates to CArtesian Coordinates with python
- (x² If h(x) X 2 , then 22.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.Use the eig function from the numpy linalg library in Python to get the eigenvalues and eigenvectors of a matrix. The eigenvalues and eigenvectors are provided as one eigenvector per column of a matrix, as can be seen in the code below. The matrix V contains one eigenvector for each column, and the eigenvalues of the matrix A are included in the vector w. The provided matrix A's determinant is the product of its Eigenvalues, which are 2, 1, and 4, and the trace of A is the same as the sum of those values.