Computational Mathematics
A piecewise function is a function that is defined by different expressions or formulas over different intervals of its domain. This means that the function can behave differently based on the input value, which allows for greater flexibility in modeling complex behaviors in various applications. Piecewise functions are particularly useful when dealing with situations where a single formula cannot accurately describe the relationship being modeled, making them essential in areas such as data approximation and spline interpolation.
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