Question 1: Lambda the Free

Submit your answers with python ok -q q1 -u.

In What Would Python Display problems, always follow these rules:

For each of the expressions in the table below, write the output displayed by the interactive Python interpreter when the expression is valued. The output may have multiple lines or no lines.

• If an error occurs, write Error, but include all output displayed before the error.
• If an expression evaluates to a function value, write Function.
• If an expression would take forever to evaluate, write Forever.
• If the interpretor prints nothing, write Nothing.

>>> lambda x: x  # A lambda expression with one parameter x
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>>> a = lambda x: x  # Assigning the lambda function to the name a
>>> a(5)
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>>> (lambda: 3)()  # Using a lambda expression as an operator in a call exp.
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>>> b = lambda x: lambda: x  # Lambdas can return other lambdas!
>>> c = b(88)
>>> c
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>>> c()
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>>> d = lambda f: f(4)  # They can have functions as arguments as well.
>>> def square(x):
...     return x * x
>>> d(square)
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>>> z = 3
>>> e = lambda x: lambda y: lambda: x + y + z
>>> e(0)(1)()
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>>> f = lambda z: x + z
>>> f(3)
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>>> x = None # remember to review the rules of WWPD given above!
>>> x
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>>> higher_order_lambda = lambda f: lambda x: f(x)
>>> g = lambda x: x * x
>>> higher_order_lambda(2)(g)
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>>> higher_order_lambda(g)(2)
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>>> call_thrice = lambda f: lambda x: f(f(f(x)))
>>> call_thrice(lambda y: y + 1)(0)
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>>> print_lambda = lambda z: print(z)  # When is the return expression of a lambda expression executed?
>>> print_lambda
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>>> one_thousand = print_lambda(1000)
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>>> one_thousand
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