Phrase Hound found 24 phrases and 13 compound words that contain affine. The most common are listed below. Open affine in the live search for definitions, filters, and the full list.
Phrases 24
- affine transformationA geometric transformation that preserves lines and parallelism, but in general not lengths or angles; (more formally) an automorphism of an affine space: a mapping of an affine space onto itself that preserves both the dimension of any …
- affine geometryThe branch of geometry dealing with what can be deduced in Euclidean geometry when the notions of line length and angle size are ignored.
- affine spacea vector space having no origin
- affine groupThe group of all affine transformations of a finite-dimensional vector space.
- affine differential geometryA type of differential geometry in which the differential invariants studied are invariant under volume-preserving affine transformations.
- affine combinationA linear combination (of vectors in Euclidean space) in which the coefficients all add up to one.
- affine arithmeticA 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 …
- affine connectionA connection defined on the tangent bundle of a manifold.
- affine hullSynonym of hull (“geometrical intersection of sets”).
- affine schemeAn abstract, geometric object in mathematics which generalizes the notion of an affine variety qua domain of a commutative ring of polynomial functions: a space which is the result of a particular construction beginning with an arbitrary …
- affine schemesplural of affine scheme: An abstract, geometric object in mathematics which generalizes the notion of an affine variety qua domain of a commutative ring of polynomial functions: a space which is the result of a particular construction …
- affine spacesplural of affine space: a vector space having no origin
- affine spanSynonym of hull (“geometrical intersection of sets”).
- affine transformationsplural of affine transformation: A geometric transformation that preserves lines and parallelism, but in general not lengths or angles; (more formally) an automorphism of an affine space: a mapping of an affine space onto itself that …
- affine varietiesplural of affine variety: 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 varietyA 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 combinationsplural of affine combination: A linear combination (of vectors in Euclidean space) in which the coefficients all add up to one.
- affine connectionsplural of affine connection: A connection defined on the tangent bundle of a manifold.
- affine groupsplural of affine group: The group of all affine transformations of a finite-dimensional vector space.
- affine spansplural of affine span: Synonym of hull (“geometrical intersection of sets”).
- self-affineExhibiting self-affinity.
- affine geometriesplural of affine geometry: The branch of geometry dealing with what can be deduced in Euclidean geometry when the notions of line length and angle size are ignored.
- affine hullsplural of affine hull: Synonym of hull (“geometrical intersection of sets”).
- co-affineA co-in-law: A relationship by marriage with a separation by three degrees (two people), compared to prototypical affines, where the separation is two and one.
Compound words 13
- affinityA natural attraction or feeling of kinship to a person or thing.
- affinoidaffine in most respects
- biaffineaffine in two different ways
- centroaffineRelating to the centre of an affine space
- affinelyIn an affine manner
- affinenessThe property of being affine.
- affinizationconversion to affine form
- affinizeconvert to affine form
- equiaffineBeing an affine transformation that preserves area.
- nonaffineNot affine.