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of large oscillation.

Definition

Given a set of nodes $\backslash \{x\_0,\; x\_1,\; \backslash ldots,\; x\_k\backslash /math>,\}\}\; which\; must\; all\; be\; distinct,\; for\; indices\; ,\; the$Lagrange basis for polynomials of degree for those nodes is the set of polynomials each of degree which take values if and . Using the Kronecker delta this can be written . Each basis polynomial can be explicitly described by the product:

Notice that the numerator has roots at the nodes while the denominator scales

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