Table of Contents
13 relations: Almost everywhere, Complex dynamics, Dimension, Function (mathematics), Lebesgue measure, Line (geometry), Line bundle, Manifold, Mathematics, Measurable function, Projective space, Section (fiber bundle), Tangent bundle.
Almost everywhere
In measure theory (a branch of mathematical analysis), a property holds almost everywhere if, in a technical sense, the set for which the property holds takes up nearly all possibilities.
See Line field and Almost everywhere
Complex dynamics
Complex dynamics, or holomorphic dynamics, is the study of dynamical systems obtained by iterating a complex analytic mapping. Line field and complex dynamics are dynamical systems.
See Line field and Complex dynamics
Dimension
In physics and mathematics, the dimension of a mathematical space (or object) is informally defined as the minimum number of coordinates needed to specify any point within it.
Function (mathematics)
In mathematics, a function from a set to a set assigns to each element of exactly one element of.
See Line field and Function (mathematics)
Lebesgue measure
In measure theory, a branch of mathematics, the Lebesgue measure, named after French mathematician Henri Lebesgue, is the standard way of assigning a measure to subsets of higher dimensional Euclidean ''n''-spaces.
See Line field and Lebesgue measure
Line (geometry)
In geometry, a straight line, usually abbreviated line, is an infinitely long object with no width, depth, or curvature, an idealization of such physical objects as a straightedge, a taut string, or a ray of light.
See Line field and Line (geometry)
Line bundle
In mathematics, a line bundle expresses the concept of a line that varies from point to point of a space.
See Line field and Line bundle
Manifold
In mathematics, a manifold is a topological space that locally resembles Euclidean space near each point.
Mathematics
Mathematics is a field of study that discovers and organizes abstract objects, methods, theories and theorems that are developed and proved for the needs of empirical sciences and mathematics itself.
See Line field and Mathematics
Measurable function
In mathematics, and in particular measure theory, a measurable function is a function between the underlying sets of two measurable spaces that preserves the structure of the spaces: the preimage of any measurable set is measurable.
See Line field and Measurable function
Projective space
In mathematics, the concept of a projective space originated from the visual effect of perspective, where parallel lines seem to meet at infinity.
See Line field and Projective space
Section (fiber bundle)
In the mathematical field of topology, a section (or cross section) of a fiber bundle E is a continuous right inverse of the projection function \pi.
See Line field and Section (fiber bundle)
Tangent bundle
A tangent bundle is the collection of all of the tangent spaces for all points on a manifold, structured in a way that it forms a new manifold itself.
See Line field and Tangent bundle