t numpy as np import scipy.integrate as si import mat

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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need help with python by using

import numpy as np
import scipy.integrate as si
import matplotlib.pyplot as plt
(ii) Write a code to generate the curve based on the definition of the integral for E(, m) using
scipy.integrate.quad
Your output should look similar to the sample as follows:
incomplete elliptic integral of the second kind using definition
3
2
1
phi=-1.0 pi
phi=-0.5 pi
phi=0.0 pi
phi=0.5 pi
phi=1.0 pi
-2
-3
0.0
0.2
0.4
0.6
0.8
10
m
E(phi,m)
Transcribed Image Text:(ii) Write a code to generate the curve based on the definition of the integral for E(, m) using scipy.integrate.quad Your output should look similar to the sample as follows: incomplete elliptic integral of the second kind using definition 3 2 1 phi=-1.0 pi phi=-0.5 pi phi=0.0 pi phi=0.5 pi phi=1.0 pi -2 -3 0.0 0.2 0.4 0.6 0.8 10 m E(phi,m)
Q2 Incomplete elliptic integral of the second kind
https://en.wikipedia.org/wiki/Elliptic_integral
The incomplete elliptic integral of the second kind E(¢, m) is defined via
Е(ф, т) —
m sin?(t)dt; m > 0
(i) Find out how to call the incomplete elliptic integral of the second kind from the scipy special function package
(https://docs.scipy.org/doc/scipy/reference/special.html)
scipy.special
Use it to plot a family of curves, E($, m) for o E {-T, –n/2, 0, x/2, T}, m E [0, 1]. Your output should look similar to the sample as
incomplete elliptic integral of the second kind using scipy
3
1
phi=-1.0 pi
phi=-0.5 pi
phi=0.0 pi
phi=0.5 pi
phi=1.0 pi
-2
-3
0.0
0.2
0.4
0.6
0.8
10
follows:
(ii) Write a code to generate the curve based on the definition of the integral for E(o, m) using
scipy.integrate.quad
E(phi,m)
Transcribed Image Text:Q2 Incomplete elliptic integral of the second kind https://en.wikipedia.org/wiki/Elliptic_integral The incomplete elliptic integral of the second kind E(¢, m) is defined via Е(ф, т) — m sin?(t)dt; m > 0 (i) Find out how to call the incomplete elliptic integral of the second kind from the scipy special function package (https://docs.scipy.org/doc/scipy/reference/special.html) scipy.special Use it to plot a family of curves, E($, m) for o E {-T, –n/2, 0, x/2, T}, m E [0, 1]. Your output should look similar to the sample as incomplete elliptic integral of the second kind using scipy 3 1 phi=-1.0 pi phi=-0.5 pi phi=0.0 pi phi=0.5 pi phi=1.0 pi -2 -3 0.0 0.2 0.4 0.6 0.8 10 follows: (ii) Write a code to generate the curve based on the definition of the integral for E(o, m) using scipy.integrate.quad E(phi,m)
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