Definition: Affine is an adjective, describing a function with a constant slope. Distinguished from
linear which sometimes is meant to imply that the function has no
constant term; that it is zero when the independent variables are zero. An
affine function may have a nonzero value when the independent variables are
zero.
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Examples: y = 2x is linear in x, whereas y = 2x + 7 is an affine function of
x.
And y = 2x + z2 is affine in x but not in z.(Econterms)
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