Exercises
Ex. 1 → Write a method simplify to the class RationalNumber. This method should return the simplified version of the fraction as a tuple.
Ex. 2 → To provide results with confidence intervals a special calculus, so-called interval arithmetic is introduced in numerical mathematics; (refer to [3, 14]). Define a class called Interval and provide it with methods for addition, subtraction, division, multiplication, and power (with positive integers only). These operations obey the following rules:
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Provide this class with methods that allow operations of the type a + I, a I, I + a, I a, where I is an interval and a an integer or float. Convert an integer or float to an interval [a,a] first. (Hint: you may want to use function decorators for this; (refer to section Function as decorators in Chapter 7, Functions). Furthermore, implement the __contains__ method, which enables you to check if a given number belongs to the interval using the syntax x in I for an object I of type Interval...
