Write the value_equality method.Given the two expressions ? and ?, first compute the set of variables ? that appear in either ? or ?. Then, the idea consists in performing num_sample times the following test for equality:First, produce a variable assignment (a dictionary) mapping each variable in ? to a random value. Choose these random values from the gaussian distribution centered around 0 and with standard deviation 10 (for instance; any continuous distribution with infinite domain would work). You can obtain such numbers using random.gauss(0, 10).Then, compute the values of ? and ? with respect to that variable evaluation. If the values are closer than a specified tolerance tolerance, you consider ? and ? equal (for that variable valuation). Otherwise, you can stop and return that ? and ? are different.If you can repeat the process num_sample times, and ? and ? are considered equal every time, then you declare them equal.WRITE CODE IN PYTHON ### Exercise: implementation of value equalityimport randomdef value_equality(e, f, num_samples=1000, tolerance=le-6) :"""Return True if the two expressions self and other are numericallyequivalent.Equivalence is tested by generatingnum_samples assignments, and checking that equality holdsfor all of them.the values of the two expressions have to be closer than tolerance.Equality is checked up to tolerance, that is,It can be done in less than 10 lines of code."""# YOUR CODE HERE

1. print("List Iteration") l = ["s", "for", "s"] for i in l: print(i) # Iterating over a…

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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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Write the value_equality method.
Given the two expressions ? and ?, first compute the set of variables ? that appear in either ? or ?. Then, the idea consists in performing num_sample times the following test for equality:

First, produce a variable assignment (a dictionary) mapping each variable in ? to a random value. Choose these random values from the gaussian distribution centered around 0 and with standard deviation 10 (for instance; any continuous distribution with infinite domain would work). You can obtain such numbers using random.gauss(0, 10).
Then, compute the values of ? and ? with respect to that variable evaluation. If the values are closer than a specified tolerance tolerance, you consider ? and ? equal (for that variable valuation). Otherwise, you can stop and return that ? and ? are different.

If you can repeat the process num_sample times, and ? and ? are considered equal every time, then you declare them equal.

WRITE CODE IN PYTHON

### Exercise: implementation of value equality
import random
def value_equality(e, f, num_samples=1000, tolerance=le-6) :
"""Return True if the two expressions self and other are numerically
equivalent.
Equivalence is tested by generating
num_samples assignments, and checking that equality holds
for all of them.
the values of the two expressions have to be closer than tolerance.
Equality is checked up to tolerance, that is,
It can be done in less than 10 lines of code."""
# YOUR CODE HERE

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