def t2(X): ILII || Inputs: - X: A numpy array of shape (N, N) Returns: Numpy array of shape (N,) giving the eigenvector corresponding to the smallest eigenvalue of X Par: 5 lines Instructor: 3 lines Hints: 1) np.linalg.eig 2) np.argmin 3) Watch rows and columns! return None
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- /*Code: Construct BST From Sorted ArraySend FeedbackGiven a sorted integer array A of size n, which contains all unique elements. You need to construct a balanced BST from this input array. Return the root of constructed BST.Note: If array size is even, take first mid as root.Input format:The first line of input contains an integer, which denotes the value of n. The following line contains n space separated integers, that denote the values of array.Output Format:The first and only line of output contains values of BST nodes, printed in pre order traversal.Constraints:Time Limit: 1 secondSample Input 1:71 2 3 4 5 6 7Sample Output 1:4 2 1 3 6 5 7 */public class SortedArrayToBst { /* Binary Tree Node class * * class BinaryTreeNode<T> { T data; BinaryTreeNode<T> left; BinaryTreeNode<T> right; public BinaryTreeNode(T data) { this.data = data; } } */…TODO #2: Invoke the gaussian() function, which accepts x_values, mu, and sig. Save the results in the variable y_values. mu = 0 # mean sig = 1 # std # TODO 2 x_values = display(x_values) todo_check([ (x_values.shape == (120,),'x_values does not have the correct shape of (120,)'), (np.all(np.isclose(x_values, np.array([-4.…An array int[] intArray can be initialized during its definition by A.) It can't be initialized B.) by writing int[] intArray = {1.0f}; C.) by writing int[] intArray = {0,1,2}; D.) by writing int[0-10] intArray = {0,1,2,3,4,5,6,7,8,9};
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- int main() //default function for call { int a[100],n,i,j; for (int i = 0; i < n; i++) //Loop for ascending ordering { for (int j = 0; j < n; j++) //Loop for comparing other values { if (a[j] > a[i]) //Comparing other array elements { int tmp = a[i]; //Using temporary variable for storing last value a[i] = a[j]; //replacing value a[j] = tmp; //storing last value } } } printf("\n\nAscending : "); //Printing message for (int i = 0; i < n; i++) //Loop for printing array data after sorting { printf(" %d ", a[i]); } } Need to transform this C code to MIPS Assembly Language Code simple stepsAll code in Javascript A: For the following array items2.2, 3.3, 4.4, 6.5, 4.4, 10.2, 6.7, 7.1, 8.8, 9.9 display each element forward and reverse using while loop B: For the following array items 2.2, 3.3, 4.4, 1.1, 2.0, 1.2, 0.7, 0.1, 0.8, 0.9 compute and display the average using for, do-whole, while. B: For the following array items 2.1, 3.2, 4.5, 6.0, 4.5, 1.5, 6.0, 7.0, 6.0, 9.0 prompt the user for a number and display if the number entered is or is not in the array. D: For the following array items 2, 3, 4, 6, 4, 1, 6, 7, 6, 9 prompt the user for a number and display if the number entered is or is not in the array.#include <mpi.h> int *Random_Num_Generator(int Num_Elements); int Compute_Product(int *array, int num_elements); int main(int argc, char* argv[]) { int comm_sz, my_rank;int i, Result; int Num_Per_Proc = atoi(argv[1]); // Seed the random number generator to get different results each time srand(time(NULL)); MPI_Init(&argc, &argv); MPI_Comm_rank(MPI_COMM_WORLD, &my_rank); MPI_Comm_size(MPI_COMM_WORLD, &comm_sz); // Generate a random array of elements on process 0int *Random_Nums = NULL; if (my_rank == 0){ Random_Nums = Random_Num_Generator(Num_Per_Proc * comm_sz); printf("The random numbers generated: \n"); for (i = 0; i < Num_Per_Proc * comm_sz; i++) printf("%d; ", Random_Nums[i]); printf("\n");} // Generate a buffer for holding a subset of the entire array int *Sub_Random_Nums = (int *)malloc(sizeof(int) * Num_Per_Proc); // Scatter the random integer numbers from process 0 to all processes MPI_Scatter(Random_Nums,…
- ### Import section# 3 necessary statements for numerical plotting in Jupyterimport numpy as npimport matplotlib.pyplot as plt %matplotlib inline# Factorial comes from 'math' packagefrom math import factorial ### Initialization section#array of derivatives at 0 compute by handderiv = np.array([1, 0, -1, 0, 1, 0, -1, 0])# degree of Taylor polynomialN=len(deriv)-1 # Max abs. value of N+1 deriv on interval (Compute using calculus)# (used in the remainder formula)# @@@ The N+1 derivative will be proportional to cosine, and |cos| is always # @@@ less than 1maxAbsNplus1deriv=1 #array with h valuesh = np.arange(-3,3.005,0.01) # Give the expansion point for the Taylor seriesexpansion=0 # Create an array to contain Taylor seriestaylor = np.zeros(len(h)) ### Calculation section#calculate Taylor series for all h at once using a loopfor n in range(N+1): taylor = taylor + (h**n)/factorial(n)*deriv[n] #actual function values actualFn = np.cos(expansion+h) #error actual and taylor…Prompt: In Python language, wrte a function that applies the logistic sigmoid function to all elements of a NumPy array. Code: import numpy as np import math import matplotlib.pyplot as plt import pandas as pd def sigmoid(inputArray): modifiedArray = np.zeros(len(inputArray)) #YOUR CODE HERE: return(modifiedArray) def test(): inputs = np.arange(-100, 100, 0.5) outputs = sigmoid(inputs) plt.figure(1) plt.plot(inputs) plt.title('Input') plt.xlabel('Index') plt.ylabel('Value') plt.show() plt.figure(2) plt.plot(outputs,'Black') plt.title('Output') plt.xlabel('Index') plt.ylabel('Value') plt.show() test()TODO 1: To construct an array of 120 values between -4 and 4, use the NumPy method np.linspace() (docs). To do so, pass the parameters -4, 4, and 120. Put the results in the variable x_values. mu = 0 # mean sig = 1 # std # TODO 1 x_values = display(x_values) todo_check([ (x_values.shape == (120,),'x_values does not have the correct shape of (120,)'), (np.all(np.isclose(x_values, np.array([-4.…
