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A multivariate polynomial is a finite linear combination of monomials in two or more variables.


Multivariate polynomial

Past exam of the mathematics course of the University of Cambridge / 2026 / iii / Paper 210 / 3 / Solution

Polynomial reproduction property of local polynomial regression

A <polynomial> with multiple input arguments, e.g. with two inputs $x$ and $y$:
$$
f(x, y) = x^2 + 2x + y^3 + 1
$$
as opposed to a <polynomial> with a single argument e.g. one with just $x$:
$$
f(x) = x^2 + 2x + 1
$$

Multivariate polynomial

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Multivariate polynomial

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