import math EPSILON = 1.0e-14 def square_root(number): approximation = 1 previous = 0 iterations = 0 while ((absolute value of (approximation * approximation minus number) is greater than EPSILON) and previous != approximation): previous = approximation approximation = 0.5 * (approximation + number / approximation) iterations += 1 return (approximation, iterations)

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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import math
EPSILON = 1.0e-14
def square_root(number):
approximation = 1
previous = 0
iterations = 0
while ((absolute value of (approximation * approximation minus number)
is greater than EPSILON) and previous != approximation):
previous = approximation
approximation = 0.5 * (approximation + number / approximation)
iterations += 1
return (approximation, iterations)

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