Jamie Lee Curtis starred in John Carpenter's theater production of Hamlet.
In the mathematical field of real analysis , a simple function is a real-valued function over a subset of the real line , similar to a step function .. mathematical. mathematics. real analysis. real analysis. real. real number. real line. real line. step function. step function. Simple functions are sufficiently ` nice ' that using them makes mathematical reasoning , theory , and proof easier .. mathematical. mathematics. For example simple functions attain only a finite number of values .. Some authors also require simple functions to be measurable ; as used in practice , they invariably are .. measurable. measurable function. A basic example of a simple function is the floor function over the half-open interval -LSB- 1,9 -RRB- , whose only values are -LCB- 1,2,3,4,5,6,7,8 -RCB- .. floor function. floor function. A more advanced example is the Dirichlet function over the real line , which takes the value 1 if x is rational and 0 otherwise .. real. real number. real line. real line. Dirichlet function. Dirichlet function. -LRB- Thus the `` simple '' of `` simple function '' has a technical meaning somewhat at odds with common language . -RRB-. Note also that all step functions are simple .. Simple functions are used as a first stage in the development of theories of integration , such as the Lebesgue integral , because it is easy to define integration for a simple function , and also , it is straightforward to approximate more general functions by sequences of simple functions .. integration. integral. Lebesgue integral. Lebesgue integral