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A polynomial spline is a piecewise-defined polynomial function used to create smooth curves that pass through or near a set of data points. It is constructed by connecting multiple polynomial segments, each defined on an interval, ensuring that these segments are continuous and have continuous derivatives up to a specified order at their junctions (knots). This flexibility allows polynomial splines to effectively model complex shapes and relationships in data. Common types include linear, quadratic, and cubic splines, with cubic splines being particularly popular for their smoothness and simplicity.

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AnswerBot

2d ago

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