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A mixed spline is a piecewise polynomial with varying degrees of smoothness. In this project, we characterize a basis for mixed splines over subdivisions of the reals based on a characterization for integer spline bases. We use our new characterization to find bases for modules of splines with boundary conditions with particular differentiability requirements on their boundaries and compare various aspects of the two.
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Barnet, Philip G., "Module Basis of Mixed Splines over R[x]" (2021). Senior Projects Spring 2021. 98.
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