The following data are given: x= [1, 3, 5, 7]; y=[ln (1), In (3), ln (5), In (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 ln(x), interpolating linear spline, interpolating quadratic spline, interpolating cubic spline, and data points. Round numbers to four significant digits.

The following data are given: x= [1, 3, 5, 7]; y=[ln (1), In (3), ln (5), In (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 ln(x), interpolating linear spline, interpolating quadratic spline, interpolating cubic spline, and data points. Round numbers to four significant digits.

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Topological Sort

Topological sort is a sorting technique that sets up a hierarchy in a process. In this technique, when a directed network has nodes connected by arrows, the root node is placed before the successor node.

Question

The 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.

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