affine

As an adjective affine

is assigning finite values to finite quantities.

As a noun affine

is a relative by marriage.

As a verb affine

is to refine.

As an adverb affinely is

in an affine manner.

As nouns the difference between affine and hyperplane

is that affine is a relative by marriage while hyperplane is an n-dimensional generalization of a plane; an affine subspace of dimension n-1 that splits an n-dimensional space. (In a one-dimensional space, it is a point; in two-dimensional space it is a line; in three-dimensional space, it is an ordinary plane..

As an adjective affine

is assigning finite values to finite quantities.

As a verb affine

is to refine.