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searching for injective function 12 found (73 total)

Hammer retroazimuthal projection (290 words) [view diff] exact match in snippet view article find links to article

the back and front hemispheres overlap, making the projection a non-injective function. The back hemisphere can be rotated 180° to avoid overlap, but in

Factorization system (867 words) [view diff] exact match in snippet view article find links to article

written as the composite of a surjective function followed by an injective function. Factorization systems are a generalization of this situation in category

Immersion (mathematics) (2,890 words) [view diff] exact match in snippet view article

→ T f ( p ) N {\displaystyle D_{p}f:T_{p}M\to T_{f(p)}N\,} is an injective function at every point p of M (where TpX denotes the tangent space of a manifold

Local diffeomorphism (936 words) [view diff] exact match in snippet view article find links to article

smooth immersion is a locally injective function, while invariance of domain guarantees that any continuous injective function between manifolds of equal

Section (category theory) (794 words) [view diff] exact match in snippet view article

{\displaystyle g\circ f} . In the category of sets, every monomorphism (injective function) with a non-empty domain is a section, and every epimorphism (surjective

Discrete space (2,288 words) [view diff] exact match in snippet view article find links to article

notation of numbers. (See Cantor space.) Every fiber of a locally injective function is necessarily a discrete subspace of its domain. In the foundations

Numbering (computability theory) (733 words) [view diff] exact match in snippet view article

single-valued if η(x) = η(y) if and only if x=y; in other words if η is an injective function. A single-valued numbering of the set of partial computable functions

Mean (2,360 words) [view diff] exact match in snippet view article find links to article

{\displaystyle f} -mean, also known as the quasi-arithmetic mean. For an injective function f : I → R {\displaystyle f\colon I\rightarrow \mathbb {R} } on an

Recognizable set (863 words) [view diff] exact match in snippet view article find links to article

\{0\}=\phi ^{-1}(\phi (\{0\}))} , then ϕ {\displaystyle \phi } is an injective function; hence M {\displaystyle M} is infinite. Also, in general, R E C (

Surface (topology) (4,171 words) [view diff] exact match in snippet view article

equivalent, but their embeddings are not. The image of a continuous, injective function from R2 to higher-dimensional Rn is said to be a parametric surface

Diffeology (4,876 words) [view diff] exact match in snippet view article find links to article

diffeology of X {\displaystyle X} . Similarly, an induction is an injective function f : X → Y {\displaystyle f:X\to Y} between diffeological spaces such

Glossary of Principia Mathematica (1,102 words) [view diff] exact match in snippet view article find links to article

one containing all members of some type vector 1. Essentially an injective function from a class to itself (for example, a vector in a vector space acting