Solve in Python please. Write a function F, which accepts a Sage list of values \((x_0, x_1, \ldots, x_{N-1})\), of arbitrary length, and produces a plot of the values \((x_0, x_1, \ldots, x_{N-1})\) as single points (see instructions below), and the real part of the interpolation (3) in a single graph. Illustrate your code on \((x_0, x_1, \ldots, x_{19}) = [0, 0, 0, 1, 0, -1, 0, 1, 2, 2, 3, 2, 2, 3, 3, 2, 3, 2, 3, 3]\) and show the resulting plot as specified above.**Useful Sage functions and hints**[1] In order to plot the points, you can use the following code:```pythonr = [(A[i], B[i]) for i in range(len(B))]P1 = point(r, size=30, color='red')```

Answered: Write a function F, which accepts a…

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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Solve in Python please.

Write a function F, which accepts a Sage list of values \((x_0, x_1, \ldots, x_{N-1})\), of arbitrary length, and produces a plot of the values \((x_0, x_1, \ldots, x_{N-1})\) as single points (see instructions below), and the real part of the interpolation (3) in a single graph. Illustrate your code on \((x_0, x_1, \ldots, x_{19}) = [0, 0, 0, 1, 0, -1, 0, 1, 2, 2, 3, 2, 2, 3, 3, 2, 3, 2, 3, 3]\) and show the resulting plot as specified above.

**Useful Sage functions and hints**

[1] In order to plot the points, you can use the following code:

```python
r = [(A[i], B[i]) for i in range(len(B))]
P1 = point(r, size=30, color='red')
```

Expert Solution

Introduction

Interpolation is a technique for adding new data points within a range of a set of known data points. You can use interpolation to fill-in missing data, smooth existing data, make predictions, and more.

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