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the value $1$ at $x = i$ and $0$ at every other node, which is what makes these a basis for interpolation.+ comment-other-bases: 'A different basis of the same space: the Bernstein basis HREF{Bernstein_basis_polynomials}+ also spans the polynomials of degree at most $d$. Interpolation is immediate in+ this basis and awkward in that one; the convex hull property is the other way+ round.' Links: Wiki:
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