[python] Accessing a class' member variables in Python?

You are declaring a local variable, not a class variable. To set an instance variable (attribute), use

class Example(object):
    def the_example(self):
        self.itsProblem = "problem"  # <-- remember the 'self.'

theExample = Example()
theExample.the_example()
print(theExample.itsProblem)

To set a class variable (a.k.a. static member), use

class Example(object):
    def the_example(self):
        Example.itsProblem = "problem"
        # or, type(self).itsProblem = "problem"
        # depending what you want to do when the class is derived.

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