linear manifold
Look at other dictionaries:
linear manifold — Math. subspace (def. 2b) … Useful english dictionary
Piecewise linear manifold — In mathematics, a piecewise linear (PL) manifold is a topological manifold together with a piecewise linear structure on it. Such a structure can be defined by means of an atlas, such that one can pass from chart to chart in it by piecewise… … Wikipedia
Manifold — For other uses, see Manifold (disambiguation). The sphere (surface of a ball) is a two dimensional manifold since it can be represented by a collection of two dimensional maps. In mathematics (specifically in differential geometry and topology),… … Wikipedia
Linear complex structure — In mathematics, a complex structure on a real vector space V is an automorphism of V that squares to the minus identity, −I. Such a structure on V allows one to define multiplication by complex scalars in a canonical fashion so as to regard V as… … Wikipedia
Linear connection — In the mathematical field of differential geometry, the term linear connection can refer to either of the following overlapping concepts: * a connection on a vector bundle, often viewed as a differential operator (a Koszul connection or covariant … Wikipedia
Kervaire manifold — In mathematics, specifically in differential topology, a Kervaire manifold K4n+2 is a piecewise linear manifold of dimension 4n+2 constructed by Kervaire (1960) by plumbing together the tangent bundles of two 2n+1 spheres, and then gluing a ball… … Wikipedia
Digital manifold — In mathematics, a digital manifold is a special kind of combinatorial manifold which is defined in digital space i.e. grid cell space. A combinatorial manifold is a kind of manifold which is a discretization of a manifold. It usually means a… … Wikipedia
Piecewise linear function — In mathematics, a piecewise linear function :f: Omega o V, where V is a vector space and Omega is asubset of a vector space, is any function with the property that Omega can be decomposed into finitely many convex polytopes, such that f is equal… … Wikipedia
Piecewise linear — may refer to:* Piecewise linear function * Piecewise linear manifold … Wikipedia
Differentiable manifold — A nondifferentiable atlas of charts for the globe. The results of calculus may not be compatible between charts if the atlas is not differentiable. In the middle chart the Tropic of Cancer is a smooth curve, whereas in the first it has a sharp… … Wikipedia
