A step function is a piecewise constant function that changes its value only at a finite number of points. It can be visualized as a staircase, where the function holds constant values over intervals and jumps to a new value at specific points. This type of function is important for understanding integrability criteria, as it simplifies the analysis of functions by breaking them down into manageable segments, and it relates closely to pointwise continuity, highlighting the behavior of functions at discrete points.
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