Divergence (disambiguation)
Encyclopedia
Divergence can refer to:
In mathematics:
In science:
In the arts:
In mathematics:
- DivergenceDivergenceIn vector calculus, divergence is a vector operator that measures the magnitude of a vector field's source or sink at a given point, in terms of a signed scalar. More technically, the divergence represents the volume density of the outward flux of a vector field from an infinitesimal volume around...
, a function that associates a scalar with every point of a vector field - Divergence (computer science)Divergence (computer science)In computer science, a computation is said to diverge if it does not terminate or terminates in an exceptional state. Otherwise it is said to converge...
, a computation which does not terminate (or terminates in an exceptional state) - Divergence (statistics)Divergence (statistics)In statistics and information geometry, divergence or a contrast function is a function which establishes the “distance” of one probability distribution to the other on a statistical manifold...
and statistical distance, a measure of dissimilarity between probability measures- Bregman divergenceBregman divergenceIn mathematics, the Bregman divergence or Bregman distance is similar to a metric, but does not satisfy the triangle inequality nor symmetry. There are two ways in which Bregman divergences are important. Firstly, they generalize squared Euclidean distance to a class of distances that all share...
- f-divergenceF-divergenceIn probability theory, an ƒ-divergence is a function Df that measures the difference between two probability distributions P and Q...
- Jensen–Shannon divergenceJensen–Shannon divergenceIn probability theory and statistics, the Jensen–Shannon divergence is a popular method of measuring the similarity between two probability distributions. It is also known as information radius or total divergence to the average. It is based on the Kullback–Leibler divergence, with the notable ...
- Kullback–Leibler divergenceKullback–Leibler divergenceIn probability theory and information theory, the Kullback–Leibler divergence is a non-symmetric measure of the difference between two probability distributions P and Q...
, also known as the "information divergence" in probability theory and information theory - Rényi's divergence
- Bregman divergence
- The defining property of divergent seriesDivergent seriesIn mathematics, a divergent series is an infinite series that is not convergent, meaning that the infinite sequence of the partial sums of the series does not have a limit....
; series that do not converge to a finite limit
In science:
- Divergence (eye)Divergence (eye)In ophthalmology, divergence is the simultaneous outward movement of both eyes away from each other, usually in an effort to maintain single binocular vision when viewing an object. It is a type of vergence eye movement.-References:...
, the simultaneous outward movement of both eyes away from each other - Divergence problemDivergence problemThe divergence problem is an anomaly from the field of dendroclimatology, the study of past climate through observations of old trees, primarily the properties of their annual growth rings...
, an anomaly between the instrumental record and temperatures calculated using some tree ring proxies - Beam divergenceBeam divergenceThe beam divergence of an electromagnetic beam is an angular measure of the increase in beam diameter or radius with distance from the optical aperture or antenna aperture from which the electromagnetic beam emerges. The term is relevant only in the "far field", away from any focus of the beam...
, the half-angle of the cone formed by a beam of light as it propagates and spreads out - Genetic divergenceGenetic divergenceGenetic divergence is the process in which two or more populations of an ancestral species accumulate independent genetic changes through time, often after the populations have become reproductively isolated for some period of time...
- Infrared divergenceInfrared divergenceIn physics, an infrared divergence or infrared catastrophe is a situation in which an integral, for example a Feynman diagram, diverges because of contributions of objects with very small energy approaching zero, or, equivalently, because of physical phenomena at very long distances.The infrared ...
, a behavior of a field theory in quantum physics - Ultraviolet divergenceUltraviolet divergenceIn physics, an ultraviolet divergence is a situation in which an integral, for example a Feynman diagram, diverges because of contributions of objects with very high energy , or, equivalently, because of physical phenomena at very short distances. An infinite answer to a question that should have a...
, a behavior of a field theory in quantum physics
In the arts:
- Divergence (album)Divergence (album)Divergence is the second album by the Dutch symphonic rock group Solution. It was released in 1972 on the EMI subsidiary Harvest Records.-History:This album is among the most progressive by the group...
, a 1972 album by Solution - Divergence (book), a novel by Tony BallantyneTony BallantyneTony Ballantyne is a British science-fiction author known for his debut trilogy of novels, including Recursion, Capacity and Divergence...
- Divergence (Enterprise episode)Divergence (Enterprise episode)"Divergence" is the title of a Star Trek: Enterprise television episode from season four.-Plot:As the Enterprise crew race to prevent the impending destruction of the Enterprise , Phlox fights a desperate battle against time to come up with a cure for the virus before a Klingon task...
, a fourth-season episode of Star Trek: Enterprise - Divergence (film)Divergence (film)Divergence is a 2005 Hong Kong action-crime film produced and directed by Benny Chan, from a screenplay by Ivy Ho. The film stars Ekin Cheng, Aaron Kwok and Daniel Wu.-Plot:...
, a 2005 film from Hong Kong - Divergence (novel)Divergence (novel)Divergence is a science fiction novel by Charles Sheffield written in the Heritage Universe series. This book is the sequel to Summertide. The book takes place millennia in the future when most of the Orion arm of the galaxy has been colonized by humans and other races...
, a novel by Charles Sheffield - Divergent (book)Divergent (book)Divergent, published May 3, 2011, is the first book of the proposed Divergent trilogy, written by Veronica Roth. It is a dystopian thriller written for teens...
, a novel by Veronica Roth