#a Write function generate a random sample of given size n from chisquare distribution with df degree of freedom. # Use the function rchisq with size n and df degree of freedom.
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- Higher-order functions are the functions that run with higher than O(n) time complexity.Answer: true, falseThe following data are given: x= [1,3,5,7]; y=[ln (1), In (3), ln (5), ln (7)] 3. a) Use the interpld function from scipy.interpolate library to interpolate the above data using the spline interpolation method. b) Estimate the logarithm of 2 for linear, quadratic and cubic splines. Print out the true value, interpolating values and the true relative errors in % for linear, quadratic and cubic splines. c) Show on a graph the true function In(x), interpolating linear spline, interpolating quadratic spline, interpolating cubic spline, and data points. Round numbers to four significant digits.Find the maximum value of the following function F(x)=2x3 , using the genetic algorithm, performing two iterations.
- fx = 3 - x**3 - x**5 - 2.7183**-x NR iteration on the addion picture part ı uploaded example with a precision of 4digits and the inital guess of 2.0000 Please write a Pyhton code for NR iteration solution of the previous function. Implementation of the derivative should be an approximation through limit theorem.Wo Home I(O noPHP) I Homework 10 Q2 Q1 Q3 L Q4 Q5 Q6 (a) Q7 Q8 Q9 Q10 (x = L, y = 0) |(x = 0, y = 0) (b) A beam is subjected to a linearly increasing distributed load. The elastic curve (deflection) is shown in the figure. The equation to find the maximum deflection is given below. Create a matlab code where you can calculate the maximum deflection (dy/dx=0) using the bisection method. Use initial guesses of 1 and 5, L= 6.27 m, E = 73000 kN/cm2, I=38000 cm4, and w0= 2.5 kN/cm. What will be the value of x (location of maximum deflection) after 15 bisection iteration? wo -(-æ³ +2L²x³ – L^x) 120EIL dy de wo (-5xª + 6L²x² – Lª) 120EIL Choices 2.5236 1.402 2.804 4.206 Submit I Attempts 1 |Generate a 1×2500 vector of random numbers using the function rand(). Extract the 1st, 2nd, 4th, 8th, 16th, …, 2048th elements and assign it as vector G. Do not use loops. Write the answer in the space provided.
- Using a pseudo random number generation function (e.g., rand() in C or other equivalentfunctions in other languages) that generates uniformly distributed random numbers,write functions that generate the following:(a) uniformly distributed integers between 0 and 99. (b) uniformly distributed floating numbers between 0.25 and 0.5. (c) the number 1 with probability 0.5, the number 2 with probability 0.2, otherwise a floatuniformly distributed between 3 and 4.NORMALIZATION PROBLEM: Normalization is one of the most basic preprocessing techniques in data analytics. This involves centering and scaling process. Centering means subtracting the data from the mean and scaling means dividing with its standard deviation. Mathematically, normalization can be expressed as: Z = X-x σ 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.Consider the following two sum functions: def sum_iter(x: int) -> int: result: int while x >= 0: result += x x -- 1 return result versus def sum_recur(x: int) -> int: if x < 0: return 0 else: return x + sum_recur(x - 1)
- Given A = {1,2,3} and B={u,v}, determine. a. A X B b. B X BQ2A- write a MATLAB program (using for loop) to read (4 x4) matrix which have a random numbers , and check each element , if it is greater than 0.5 exchange it with '1'. Q2B- plot these functions using sub plot : x1=siny cosy , x2=secy siny, x3=sin(y-0.5) cosy , x4= tan(y-0.5), x5=siny2, x6=cosy3 , when y=-2t toWrite a fraction calculator program that adds, subtracts, multiplies, and di-vides fractions. Your program should check for the division by 0, have and use the following functions:(a) subtract - finds the reduced difference of a pair of given fractions, by makingthe second fraction negative then using the add function.(b) multiply - finds the reduced product of a pair of given fractions.(c) divide - finds the reduced quotient of a pair of given fractions by inverting the second fraction then using the multiply function