Explore: Mappings [mathematics]

In mathematics, a map or mapping is a function in its general sense. These terms may have originated as from the process of making a geographical map:

timeframe Brain mapping, the techniques used to study the brain Data mapping, data element mappings between two distinct data models Digital mapping, the use

In mathematics, a contraction mapping, or contraction or contractor, on a metric space (M, d) is a function f from M to itself, with the property that

include orientation-reversing mappings whose Jacobians can be written as any scalar times any orthogonal matrix. For mappings in two dimensions, the

Quasiconformal mappings are a generalization of conformal mappings that permit the bounded distortion of angles locally. Quasiconformal mappings were introduced

that is, it is a scalar-valued linear map. Depending on the author, such mappings may or may not be assumed to be linear, or to be defined on the whole space

uniquely by extremal quasiconformal mappings. Teichmüller also established a connection between extremal quasiconformal mappings and regular quadratic differentials

In mathematics, Liouville's theorem, proved by Joseph Liouville in 1850, is a rigidity theorem about conformal mappings in Euclidean space. It states that

connection on the tangent space TN of a smooth manifold N. For smooth mappings h:M→TN from any smooth manifold M, the connector K:TTN→TN satisfies : ∇

In mathematics, the simplicial approximation theorem is a foundational result for algebraic topology, guaranteeing that continuous mappings can be (by