relatively compact
41Mercer's theorem — In mathematics, specifically functional analysis, Mercer s theorem is a representation of a symmetric positive definite function on a square as a sum of a convergent sequence of product functions. This theorem, presented in (Mercer 1909), is one… …
42Gromov–Hausdorff convergence — Gromov–Hausdorff convergence, named after Mikhail Gromov and Felix Hausdorff, is a notion for convergence of metric spaces which is a generalization of Hausdorff convergence. Gromov–Hausdorff distanceGromov–Hausdorff distance measures how far two …
43Bohr compactification — In mathematics, the Bohr compactification of a topological group G is a compact Hausdorff topological group H that may be canonically associated to G . Its importance lies in the reduction of the theory of uniformly almost periodic functions on G …
44Normal family — In mathematics, with special application to complex analysis, a normal family is a pre compact family of continuous functions. Informally, this means that the functions in the family are not exceedingly numerous or widely spread out; rather, they …
45Egypt, ancient — Introduction civilization in northeastern Africa dating from the 3rd millennium BC. Its many achievements, preserved in its art and monuments, hold a fascination that continues to grow as archaeological finds expose its secrets. This article… …
46Hohokam — otheruses4|the prehistoric archaeological tradition|the freeway in Phoenix, Arizona|Arizona State Route 143Hohokam (ho ho KAHM) is the name applied to one of the four major prehistoric archaeological traditions of the American Southwest. Variant… …
47Weak convergence (Hilbert space) — In mathematics, weak convergence is a type of convergence of a sequence of points in a Hilbert space (and, more generally, in a Banach space). DefinitionA sequence of points (x n) in a Hilbert space H , with n an integer, is said to converge… …
48Σ-finite measure — In mathematics, a positive (or signed) measure mu; defined on a sigma; algebra Sigma; of subsets of a set X is called finite, if mu;( X ) is a finite real number (rather than ∞). The measure mu; is called σ finite, if X is the countable union of… …
49hydrocarbon — hydrocarbonaceous, adj. /huy dreuh kahr beuhn, huy dreuh kahr /, n. any of a class of compounds containing only hydrogen and carbon, as an alkane, methane, CH4, an alkene, ethylene, C2H4, an alkyne, acetylene, C2H2, or an aromatic compound,… …
50List of general topology topics — This is a list of general topology topics, by Wikipedia page. Contents 1 Basic concepts 2 Limits 3 Topological properties 3.1 Compactness and countability …
