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Splines and their properties and applications. A spline is a function defined piecewise by polynomials, and is typically used in interpolating problems.

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Marsden's Identity and B-splines

Also, define the space spanned by the B-splines as: $\$_{k,t}:=\{\sum\alpha_jB_{j,k,t} : \alpha_j\in\mathbb{R}\}$ Technically, using Marsden's Identity I should be able to show that $\mathbb{P}_k$, the …
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Marsden's Identity and B-splines

I found the solution after some research, hence I'll post it here in case anyone have curiosity: Marsden's Identity states that for all $\tau$ in $\mathbb{R}$ it holds that: $$(\cdot -\tau)^{k-1}=\s …
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