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A mathematical expression w/ >1 term containing the same variable (eg, x & x^2). Polynomials are commonly used to model curvilinear relationships.

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nearest neighbors degrees of freedom

It is roughly $N/k$ where $N$ is the number of data points. See here: http://en.wikipedia.org/wiki/Degrees_of_freedom_(statistics) http://www.cs.ubc.ca/~murphyk/Teaching/CS340-Fall07/L4_knn.pdf
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