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A function $f$ is linear iff $f(x) - f(y)$ depends only on $x - y$. The notion of linearity, although normally defined in spaces like $\mathbf{R}$, can be extended to arbitrary vector spaces.

Examples of linear functions

  • $f(x, y) := 2 + 55x + 592y$
  • $g(x) := 1 + 2x$

See also

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