Find a regular expression for L = {vwv : v, w ɛ {a,b}' , |v| = 2}. %3D %3D
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Q: R3 fo/1 fo/0 23.23.23.2/24 f0/1 34.34.34.4/24 fo/o |12.12.12.1/24 RI fo/0 f0/0 12.12.12.2/24 f1/1 24...
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A: Summary: - Hence, we have discussed all the points
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- Library tion formula is a=(v_(2)-v_(1))/(t), Solve for v_(1).Ex: Let A1 ={x, y}, A2 ={1, 2}, and A3 ={a, b}, Find A1 × A2, (A1 × A2) × A3, A1 × A2 × A3.Z = In Python, element-wise mean and element-wise standard deviation can be obtained by using .mean() and .std() calls. In this problem, create a random 5 x 5 ndarray and store it to variable X. Normalize X. Save your normalized ndarray as X_normalized.npy
- Q2} Write a user-define function that add or subtracts two polynomials of any order. Use the function to add and subtract the following f₁(x)=x5-7x4+11x³-4x²-5x-2 and f₂(x)=9x²-10x+6 polynomials:IN PYTHON: import numpy as npimport numpy.linalg as la def smallest_eig(A):"""Given a positive definite symmetric matrix A,calculates the smallest eigenvalue of A andthe corresponding eigevector by using the inverseiteration. You are not allowed to use numpy.linalg functionsfor calculating the eigenvalues. However, you can usenumpy linalg functions for solving linear equations andfor calculating norms. Output: a tuple (lam, x), where lam is the smallesteigenvalue and x is the corresponding eigenvector """n = A.shape[0]lam = 0x = np.random.randn(n)passreturn (lam, x)le.com/forms/d/e/1FAlpQLSc6PlhZGOLJ4LOHo5cCGEf9HDChfQ-tT1bES-BKgkKu44eEnw/formResponse The following iterative sequence is defined for the set of positive integers: Sn/2 3n +1 ifn is odd if n is even Un = Using the rule above and starting with 13, we generate the following sequence: 13 u13 = 40 u40 =20 u20 = 10→ u10 =5 u5 = 16 u16 = 8 ug = 4 → Us =2 u2 =1. It can be seen that this sequence (starting at 13 and finishing at 1) contains 10 terms. The below function takes as input an integer n and returns the number of terms generated by the sequence starting at n. function i-Seq (n) u=n; i=%3; while u =1 if statement 1 u=u/2; else statement 2 end i=i+1; end statement 1 and statement 2 should be replaced by: None of the choices statement 1 is "mod(u,2)=D%3D0" and statement 2 is "u = 3*u+1;" statement 1 is "u%2" and statement 2 is "u = 3*u+1;" O statement 1 is "mod(n,2)=30" and statement 2 is "u = 3*n+1;"
- Given the code: void d(int n) { if(n<2) { cout << n << " "; return; } cout << n << " "; d(n/3); } 1. Trace the function when n is 12.Write a program to find the transpose of 4*3 matrix. C ProgrammingWrite a python function, matrix_multiplication, that takes two integer matrices, A and B, and returns their dot product. NOTE: Sample Test cases are attached below
- function [P, A] = rect(L, W) P= 2 (L+ W); A =L*W; end Above function is defined to find perimeter and area of a rectangle. If a rectangle has length 10 mm and width 7 mm then the correct way to get perimeter and area of a given rectangle by executing this function is Select one: a. [A, B] = rect(10, 7) b. rect(7, 10) c. [A, B] = rect(7, 10) d. rect(10, 7)You are designing a function that will manipulate an array of integers. It needs to work for arrays of any length. What is the minimum number of parameters your function will have?Let A = {a, b, c} and B = {u, v}. Write a. A × B b. B × A