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Abstract

The theme of this chapter is a brief introduction to two classes of functions that have been used in numerical analysis: the box spline and the multivariate spline associated to a list of vectors X. They both compute the volume of a variable polytope.

The theory of splines plays an important role in numerical analysis, and it is outside the scope of this book to discuss it in any detail. For an introduction the reader can consult, for instance, [96].

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Correspondence to Corrado De Concini .

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© 2011 Springer Science+Business Media, LLC

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De Concini, C., Procesi, C. (2011). Splines. In: Topics in Hyperplane Arrangements, Polytopes and Box-Splines. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-0-387-78963-7_7

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