Divergence
In vector calculus, divergence is a vector operator that operates on a vector field, producing a scalar field giving the quantity of the vector field's source at each point. More technically, the divergence represents the volume density of t ...
is a function that associates a scalar with every point of a vector field.
Divergence or Divergent may also refer to:
Mathematics
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Divergence (computer science), a computation which does not terminate (or terminates in an exceptional state)
* Divergence, the defining property of
divergent series
In 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 finite limit.
If a series converges, the individual terms of the series mu ...
; series that do not converge to a finite limit
* Divergence, a result of instability of a dynamical system in
stability theory
In mathematics, stability theory addresses the stability of solutions of differential equations and of trajectories of dynamical systems under small perturbations of initial conditions. The heat equation, for example, is a stable partial diffe ...
Statistics
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Divergence (statistics), a measure of dissimilarity between probability measures
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Bregman divergence
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''f''-divergence
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Jensen–Shannon divergence
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Kullback–Leibler divergence
In mathematical statistics, the Kullback–Leibler divergence (also called relative entropy and I-divergence), denoted D_\text(P \parallel Q), is a type of statistical distance: a measure of how one probability distribution ''P'' is different fro ...
, also known as the "information divergence" in probability theory and information theory
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Rényi's divergence
Science
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Divergent boundary
In plate tectonics, a divergent boundary or divergent plate boundary (also known as a constructive boundary or an extensional boundary) is a linear feature that exists between two tectonic plates that are moving away from each other. Divergent ...
, a linear feature that exists between tectonic plates that are moving away from each other
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Divergence (eye)
A vergence is the simultaneous movement of both eyes in opposite directions to obtain or maintain single binocular vision.
When a creature with binocular vision looks at an object, the eyes must rotate around a vertical axis so that the projec ...
, the simultaneous outward movement of both eyes away from each other
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Divergence problem, an anomaly between the instrumental record and temperatures calculated using some tree ring proxies
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Beam divergence
In electromagnetics, especially in optics, beam divergence is an angular measure of the increase in beam diameter or radius with distance from the optical aperture or antenna aperture from which the beam emerges. The term is relevant only i ...
, the half-angle of the cone formed by a beam of light as it propagates and spreads out
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Genetic divergence Genetic divergence is the process in which two or more populations of an ancestral species accumulate independent genetic changes (mutations) through time, often leading to reproductive isolation and continued mutation even after the populations hav ...
, the process in which two or more populations of an ancestral species accumulate independent genetic changes
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Evolutionary divergence
Divergent evolution or divergent selection is the accumulation of differences between closely related populations within a species, leading to speciation. Divergent evolution is typically exhibited when two populations become separated by a geog ...
, the accumulation of differences between populations of closely related species
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Infrared divergence
In physics, an infrared divergence (also IR 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 equivalent ...
, due to contributions of objects with low energy
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Ultraviolet divergence
In physics, an ultraviolet divergence or UV divergence is a situation in which an integral, for example a Feynman diagram, diverges because of contributions of objects with unbounded energy, or, equivalently, because of physical phenomena at infi ...
, due to contributions of objects with very high energy
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Divergence (optics)
In optics, vergence is the angle formed by rays of light that are not perfectly parallel to one another. Rays that move closer to the optical axis as they propagate are said to be ''converging'', while rays that move away from the axis are ...
, the angle formed between spreading rays of light
Arts
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''Divergent'' (book series), a novel series of young adult science fiction adventure novels by Veronica Roth
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''Divergent'' (novel), the first novel in the series, 2011
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The Divergent Series, a film trilogy based on the novels
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''Divergent'' (film), the 2014 film based on the novel
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''Divergent'' (soundtrack), the soundtrack to the 2014 film
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''Divergence'' (novel), a 1991 novel by Charles Sheffield
* ''Divergence'', a 2007 novel by
Tony Ballantyne
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''Divergence'' (album), a 1972 album by Solution
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"Divergence" (''Star Trek: Enterprise''), a fourth-season episode of ''Star Trek: Enterprise''
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''Divergence'' (film), a 2005 film from Hong Kong
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''Diverge'' (film), a 2016 American sci-fi film
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Diverged (The Walking Dead), an episode of the television series ''The Walking Dead''
See also
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Convergence (disambiguation)
{{disambiguation