Date of Submission

Spring 2013

Academic Program

Mathematics

Project Advisor 1

Lauren Rose

Abstract/Artist's Statement

In this project, we will characterize subsets of splines dened by boundary conditions. We call these sets W(a;b), where a and b are boundary values of each spline in the set. We will prove that W(a;b) = ~p + W(0;0) where ~p 2 W(a;b). We will then generalize this to splines with dierentiability conditions on the boundary.

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