Convergence
From Wikipedia, the free encyclopedia (source - http://en.wikipedia.org/wiki/Convergence)
Not to be confused with Conversion.
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Convergence is the approach toward a definite value, a definite point, a common view or opinion, or toward a fixed or equilibrium state. In mathematics, it describes limiting behavior, particularly of an infinite sequence or series. Convergence, convergent, or converge may refer to:
[edit]Modes of convergence
For a more comprehensive list, see Modes of convergence (annotated index)
- Modes of convergence
- Absolute convergence pertains to whether the absolute value of the limit of a series or integral is finite.
- Uniform convergence, a pointwise convergence where the speed of convergence is independent of any value in the domain
- Pointwise convergence, the convergence of functions' values at each specific input individually
convergence theory
[edit]Properties of convergence
- Rate of convergence, the "speed" at which a convergent sequence approaches its limit
- Radius of convergence, a non-negative quantity that represents a domain interval over which a power series converges
[edit]Theorems and notions about convergence
- Convergence of random variables, any one of several notions of convergence in probability theory
- Gromov–Hausdorff convergence pertains to metric spaces and is a generalization of Hausdorff distance
- Dominated convergence theorem, a theorem by Henri Lebesgue
- Monotone convergence theorem, any one of several such theorems defined over a monotone sequence of numbers
[edit]Generalizations and applications
- Convergence of Fourier series pertains to whether the Fourier series of a periodic function converges
- Net (mathematics), or "convergent net", a generalization of a convergent sequence
- Filter (mathematics), or "convergent filter", a generalization of a convergent net
- Convergence of a numerical method, for solving differential equations
- Integral test for convergence , a technique used to test infinite series of nonnegative terms for convergence
[edit]Natural sciences
- Convergence (eye), simultaneous inward movement of eyes toward each other
- Convergent evolution, a process by which unrelated organisms independently acquire similar characteristics while evolving in separate ecosystems
- Convergent synthesis, a strategy that aims to improve the efficiency of multi-step chemical synthesis
- Convergent boundary, a fault boundary defined in the specialty of geology known as plate tectonics
- Convergence zone, in meteorology, an area where the horizontal wind produces a net in-flow of air
[edit]Computing and technology
- Convergence (telecommunications), the combination of multiple services through lines of telecommunication from a single provider
- Convergence (routing protocol), the updating of routers' topography information using dynamic protocols
- Converge (programming language)
- Convergence (evolutionary computing), a means of modeling the tendency for genetic characteristics of populations to stabilize over time
- Premature convergence, an anomaly in evolutionary computation in which the population evolved to some stable yet sub-optimal state
- Technological convergence, a trend where some technologies having distinct functionalities evolve to technologies that overlap
[edit]Social sciences
- Language convergence, the blending of two languages that are perceived as having equal social status
- Catch-up effect, in economic theory, otherwise known as the "theory of convergence"
- Technological convergence, the removal of entry barriers across the IT, telecoms, media and consumer electronics industries
- Convergent and divergent production, two types of human response to a set problem
[edit]Society and culture
[edit]Entertainment
[edit]Literature
- Convergence (series), edited by Ruth Nanda Anshen
- Convergence (novel), by Charles Sheffield
- The Pendragon Adventure, a book series in which the main threat is of Convergence
[edit]Music
- Converge (band), a band from Massachusetts
- Convergence (album), by James Murphy
- Convergence (Dave Douglas album)
[edit]Politics
- Convergence (Mexico), a political party in Mexico
- Democratic Convergence Party (Cape Verde)
- Democratic Convergence Party-Reflection Group in São Tomé and Príncipe
- Democratic Convergence of Catalonia, a political party in Catalonia, Spain
- Convergence and Union, a coalition of two political parties in Catalonia, Spain
- Convergence for Social Democracy, a political party in Equatorial Guinea
- National Convergence, a political party in Venezuela
- Anti-Capitalist Convergence, a group of political organizations
[edit]Gatherings
- Convergence (goth festival)
- CONvergence (convention), a speculative fiction convention in Minnesota
- Convergence (Net-25 program), a premier IT Show on Net 25 in the Philippines
[edit]Other
- Harmonic Convergence, a new age spiritual event in 1987