Associations to the word «Affine»

AFFINE, adjective. (mathematics) Assigning finite values to finite quantities.

AFFINE, adjective. (mathematics) Of a function, expressible as \(f(\vec x)= A \vec x + \vec b \) (which is not linear, but is similar).

AFFINE, adjective. (mathematics) Of or pertaining to a transformation that maps parallel lines to parallel lines and finite points to finite points.

AFFINE, adjective. (comparable) (chemistry) Having mutual affinity, of two materials.

AFFINE, noun. (genealogy) A relative by marriage.

AFFINE, verb. To refine.

AFFINE ARITHMETIC, noun. (analysis) A model for self-validated numerical analysis in which quantities are represented as affine combinations (called affine forms) of certain primitive variables that stand for sources of uncertainty in data or approximations made during computations.

AFFINE COMBINATION, noun. (linear algebra) A linear combination (of vectors in Euclidean space) in which the coefficients all add up to one.

AFFINE GEOMETRY, noun. (geometry) The branch of geometry dealing with affine transformations.

AFFINE GROUP, noun. (mathematics) the group of all affine transformations of a finite-dimensional vector space.

AFFINE GROUPS, noun. Plural of affine group

AFFINE SPACE, noun. (mathematics) a vector space having no origin

AFFINE SPACES, noun. Plural of affine space

AFFINE TRANSFORMATION, noun. (geometry) (linear algebra) a linear transformation between vector spaces followed by a translation.

AFFINE TRANSFORMATIONS, noun. Plural of affine transformation

AFFINE VARIETY, noun. (algebraic geometry) A set of points (in n-dimensional space) which satisfy a set of equations which have a polynomial of n variables on one side and a zero on the other side.

AFFINE, noun. (anthropology) kin by marriage.

AFFINE, adjective. (mathematics) of or pertaining to the geometry of affine transformations.

AFFINE, adjective. (anthropology) related by marriage.