locally constant function
51Incidence algebra — In order theory, a field of mathematics, an incidence algebra is an associative algebra, defined for any locally finite partially ordered set and commutative ring with unity. Contents 1 Definition 1.1 Related concepts 2 Special elements …
52Open and closed maps — In topology, an open map is a function between two topological spaces which maps open sets to open sets.[1] That is, a function f : X → Y is open if for any open set U in X, the image f(U) is open in Y. Likewise, a closed map is a function… …
53Strict differentiability — In mathematics, strict differentiability is a modification of the usual notion of differentiability of functions that is particularly suited to p adic analysis. In short, the definition is made more restrictive by allowing both points used in the …
54Amenable group — In mathematics, an amenable group is a locally compact topological group G carrying a kind of averaging operation on bounded functions that is invariant under left (or right) translation by group elements. The original definition, in terms of a… …
55Hamiltonian vector field — In mathematics and physics, a Hamiltonian vector field on a symplectic manifold is a vector field, defined for any energy function or Hamiltonian. Named after the physicist and mathematician Sir William Rowan Hamilton, a Hamiltonian vector field… …
56Differential form — In the mathematical fields of differential geometry and tensor calculus, differential forms are an approach to multivariable calculus that is independent of coordinates. Differential forms provide a better[further explanation needed] definition… …
57Differentiation of integrals — In mathematics, the problem of differentiation of integrals is that of determining under what circumstances the mean value integral of a suitable function on a small neighbourhood of a point approximates the value of the function at that point.… …
58De Rham cohomology — For Grothendieck s algebraic de Rham cohomology see Crystalline cohomology. In mathematics, de Rham cohomology (after Georges de Rham) is a tool belonging both to algebraic topology and to differential topology, capable of expressing basic… …
59Dyadic cubes — In mathematics, the dyadic cubes are a collection of cubes in ℝn of different sizes or scales such that the set of cubes of each scale partition ℝn and each cube in one scale may be written as a union of cubes of a smaller scale. These are… …
60Hyperreal number — *R redirects here. For R*, see Rockstar Games. The system of hyperreal numbers represents a rigorous method of treating the infinite and infinitesimal quantities. The hyperreals, or nonstandard reals, *R, are an extension of the real numbers R… …
