1) Affinal 2) Kin by marriage 3) Mathematical transformation 4) Related 5) Related by marriage 6) Relative by marriage 7) Treat raw sugar in a way 1) Affinal 
a relation by marriage
• (v. t.) To refine.
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. Examples: y = 2x is linear in x, whereas y = 2x + 7 ...
An equation that can be written in terms of matrix-vector multiplication and vector addition. 
Af·fine' transitive verb [ French affiner to refine; ... (L. ad ) + fin fine. See Fine .] To refine. [ Obsolete] Holland. 
aged, as with cheese.
adjective (mathematics) of or pertaining to the geometry of affine transformations
(1) The French word meaning to finish or refine. A washed-rind cheese, for example, may be affine au marc de borgogne, meaning the rind has been washed with marc, a white brandy made from grape pomace during curing. (2) The process of curing cheeses. (3) One who finishes or cures cheese would be an affineur.
a person related to one by marriage.