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Vector operator in vector calculus
In vector calculus, divergence is a vector operator that operates on a vector field, producing a scalar field giving the rate that the vector field alters
Divergence
West's economic growth vs other advanced regions
The Great Divergence or European miracle is the socioeconomic shift in which Western Europe along with former settler colonies in Northern America and
Great_Divergence
Topics referred to by the same term
Look up divergence or divergent in Wiktionary, the free dictionary. Wikiquote has quotations related to Divergence (disambiguation). Divergence is a mathematical
Divergence_(disambiguation)
Theorem in calculus
In vector calculus, the divergence theorem, also known as Gauss's theorem or Ostrogradsky's theorem, is a theorem relating the flux of a vector field through
Divergence_theorem
Type of diverging integral in physics
In physics, an infrared divergence (also IR divergence or infrared catastrophe) is a situation in which an integral, for example a Feynman diagram, diverges
Infrared_divergence
Measure of difference between two points
mathematics, specifically statistics and information geometry, a Bregman divergence or Bregman distance is a measure of difference between two points, defined
Bregman_divergence
Mathematical statistics distance measure
mathematical statistics, the Kullback–Leibler (KL) divergence (also called relative entropy and I-divergence), denoted D KL ( P ∥ Q ) {\displaystyle D_{\text{KL}}(P\parallel
Kullback–Leibler_divergence
Evolutionary process
Genetic divergence is the process in which two or more populations of an ancestral species accumulate independent genetic changes (mutations) through time
Genetic_divergence
Function that measures dissimilarity between two probability distributions
common divergences, such as KL-divergence, Hellinger distance, and total variation distance, are special cases of f {\displaystyle f} -divergence. These
F-divergence
Statistical distance measure
In probability theory and statistics, the Jensen–Shannon divergence, named after Johan Jensen and Claude Shannon, is a method of measuring the similarity
Jensen–Shannon_divergence
How much a beam expands as it travels
In electromagnetics, especially in optics, beam divergence is an angular measure of the increase in beam diameter or radius with distance from the optical
Beam_divergence
Function that measures dissimilarity between two probability distributions
simplest divergence is squared Euclidean distance (SED), and divergences can be viewed as generalizations of SED. The other most important divergence is relative
Divergence_(statistics)
Measure to genetic distance between populations
Absolute genetic divergence, often denoted as d X Y {\displaystyle d_{XY}} , is a measure used in population genetics to quantify the average number of
Absolute_genetic_divergence
1991 novel by Charles Sheffield
Divergence (1991) is a science fiction novel by American writer Charles Sheffield, part of his Heritage Universe series. The book, the sequel to Summertide
Divergence_(novel)
2026 remix album by Nine Inch Nails
Tron Ares: Divergence is the fourth remix album by the American industrial rock band Nine Inch Nails, released through Interscope, Walt Disney Records
Tron_Ares:_Divergence
Process by which genes shift in function
Functional divergence is the process by which genes, after gene duplication, shift in function from an ancestral function. Functional divergence can result
Functional_divergence
Topic in the field of dendroclimatology
The divergence problem is an anomaly from the field of dendroclimatology, the study of past climate through observations of old trees, primarily the properties
Divergence_problem
Chart indicator of moving average convergence/divergence
The Moving Average Convergence Divergence (MACD) is a trading indicator used in technical analysis of securities prices, created by Gerald Appel in the
MACD
Moment defining an alternate history
In alternate history fiction, a point of divergence is the moment when an alternate world's history diverges from our own, creating the alternate history
Point_of_divergence
Divergences arising from high energy physics
In physics, an ultraviolet divergence or UV divergence is a situation in which an integral, for example a Feynman diagram, diverges because of contributions
Ultraviolet_divergence
from the historical record. These works typically feature a point of divergence (POD) from recorded history, a change that alters the subsequent course
Alternate_history
and Pan (chimpanzee and bonobo) genera of Hominini. Estimates of the divergence date vary widely from thirteen to five million years ago. In human genetic
Chimpanzee–human last common ancestor
Chimpanzee–human_last_common_ancestor
Concept in aerodynamics
The drag-divergence Mach number (not to be confused with critical Mach number) is the Mach number at which the aerodynamic drag on an airfoil begins to
Drag-divergence_Mach_number
2005 Hong Kong film by Benny Chan
Divergence is a 2005 Hong Kong action film directed and produced by Benny Chan, from a screenplay by Ivy Ho.[citation needed] The film stars Aaron Kwok
Divergence_(film)
Eyes not aligning when looking at something
rarely λ-, Y- or X-pattern depending on the extent of convergence or divergence when the gaze moves upward or downward. These letters of the alphabet
Strabismus
Concept in information theory
of divergence measures generalising the Kullback–Leibler divergence. The Rényi divergence of order α {\displaystyle \alpha } or alpha-divergence of
Rényi_entropy
2000 book by Kenneth Pomeranz
The Great Divergence: China, Europe, and the Making of the Modern World Economy is a 2000 nonfiction book by Kenneth Pomeranz, published by Princeton University
The_Great_Divergence_(book)
Study of language change over time
the historical changes that have resulted in the documented languages' divergences. Etymology studies the history of words: when they entered a language
Historical_linguistics
The divergence between Anglicanism and Methodism distinguishes the doctrine, as well as the practices of Anglicans and Methodists. This divergence occurred
Divergence between Anglicanism and Methodism
Divergence_between_Anglicanism_and_Methodism
Japanese anime television series
Divergence Eve (ダイバージェンス・イヴ, Daibājensu Ivu) is a thirteen episode Japanese anime television series created by Takumi Tsukumo and directed by Hiroshi Negishi
Divergence_Eve
Vector field with zero divergence
vector calculus and differential equations, a divergence free vector field is a vector field v with divergence zero at all points in the field: ∇ ⋅ v = 0
Solenoidal_vector_field
Vector differential operator
sometimes of a vector field, as in the Navier–Stokes equations); the divergence of a vector field; or the curl (rotation) of a vector field. Del is a
Del
1972 studio album by Solution
Divergence is the second album by the Dutch progressive rock group Solution. It was released in 1972 on the EMI subsidiary Harvest Records. This album
Divergence_(album)
Foundational law of electromagnetism relating electric field and charge distributions
Gauss's theorem, is one of Maxwell's equations. It is an application of the divergence theorem, and it relates the distribution of electric charge to the resulting
Gauss's_law
Mathematical identities
As the name implies, the divergence is a (local) measure of the degree to which vectors in the field diverge. The divergence of a tensor field T {\displaystyle
Vector_calculus_identities
Mountain in the country of Canada
of British Columbia "Divergence Peak". cdnrockiesdatabases.ca. Retrieved 2019-08-11. "Divergence Peak". Bivouac.com. "Divergence Peak". BC Geographical
Divergence_Peak
Interactions among inertial, elastic, and aerodynamic forces
loads. Aircraft are designed to avoid the following aeroelastic problems: divergence where the aerodynamic forces increase the twist of a wing which further
Aeroelasticity
Domesticated species of canid
identical components regardless of breed type, but there is significant divergence in terms of skull shape between types. The three basic skull shapes are
Dog
Infinite series that is not convergent
{1}{4}}+{\frac {1}{5}}+\cdots =\sum _{n=1}^{\infty }{\frac {1}{n}}.} The divergence of the harmonic series was proven by the medieval mathematician Nicole
Divergent_series
Circulation density in a vector field
reveals the relation between curl (rotor), divergence, and gradient operators. Unlike the gradient and divergence, curl as formulated in vector calculus does
Curl_(mathematics)
Technique to deduce the time in prehistory when two or more life forms diverged
K-T boundary), this led Sarich and Wilson to argue that the human-chimp divergence probably occurred only about 4–6 million years ago. The observation of
Molecular_clock
The theory of convergence-divergence zones was proposed by Antonio Damasio, in 1989, to explain the neural mechanisms of recollection. It also helps to
Convergence-divergence_zone
Process which formed the domestic dog
dog as a species (Canis familiaris). This included the dog's genetic divergence from the wolf, its domestication, and the emergence of the first dogs
Domestication_of_the_dog
16th episode of the 4th season of Star Trek: Enterprise
"Divergence" is the sixteenth episode of the fourth season of the American science fiction television series Star Trek: Enterprise. It originally aired
Divergence (Star Trek: Enterprise)
Divergence_(Star_Trek:_Enterprise)
Class of artificial neural network
class of Boltzmann machines, in particular the gradient-based contrastive divergence algorithm. Restricted Boltzmann machines can also be used in deep learning
Restricted_Boltzmann_machine
Simultaneous movement of eyes in binocular vision
while for an object farther away, they rotate away from each other (divergence) until the lines of sight for the eyes are parallel. Exaggerated convergence
Vergence
Indicator in technical analysis
believed that divergence between RSI and price action is a very strong indication that a market turning point is imminent. Bearish divergence occurs when
Relative_strength_index
In the field of information retrieval, divergence from randomness (DFR) is a generalization of one of the very first models, Harter's 2-Poisson indexing-model
Divergence-from-randomness model
Divergence-from-randomness_model
Mathematical criterion about whether a series converges
conditional convergence, absolute convergence, interval of convergence or divergence of an infinite series ∑ n = 1 ∞ a n {\displaystyle \sum _{n=1}^{\infty
Convergence_tests
Accumulation of genetic differences
since become a foundational concept in evolutionary biology. Examples of divergence in nature are the adaptive radiation of the finches of the Galápagos,
Divergent_evolution
point in space—and extracts the part that represents incompressible (divergence-free) flow. This is especially useful in studying fluid dynamics, such
Leray_projection
Divergent sum of positive unit fractions
harmonic series does not have a finite limit: it is a divergent series. Its divergence was proven in the 14th century by Nicole Oresme using a precursor to the
Harmonic_series_(mathematics)
Nonparametric two-sample test methods
Ball Divergence (BD) is a nonparametric two‐sample statistic that quantifies the discrepancy between two probability measures μ {\displaystyle \mu } and
Ball_divergence
Fault systems with combined strike‑slip and dip‑slip motion
strike‑slip motion. Oblique rifting is another clear example: oblique divergence between tectonic plates localizes continental break‑up and strongly controls
Oblique-slip_fault
Differential operator in mathematics
Laplace operator or Laplacian is a differential operator given by the divergence of the gradient of a scalar function on Euclidean space. It is usually
Laplace_operator
Computation which does not terminate or terminates in an exceptional state
diverges. In the calculus of communicating sequential processes (CSP), divergence occurs when a process performs an endless series of hidden actions. For
Divergence_(computer_science)
Grammar of the English language
Standard English; however, minor divergences may occur depending on historical, regional, and cultural contexts. Larger divergences occur when comparing pronunciation
English_grammar
Definite integral of a scalar or vector field along a path
incompressible (divergence-free). In fact, the Cauchy-Riemann equations for f ( z ) {\displaystyle f(z)} are identical to the vanishing of curl and divergence for
Line_integral
Multivariate derivative (mathematics)
related to Gradient fields. Curl – Circulation density in a vector field Divergence – Vector operator in vector calculus Four-gradient – Four-vector analogue
Gradient
Equations of motion for viscous fluids
\mathbf {u} } is the flow velocity, ∇ ⋅ {\textstyle \nabla \cdot \,} is the divergence, p {\textstyle p} is the pressure, t {\textstyle t} is time, τ {\textstyle
Navier–Stokes_equations
Root of a phylogenetic tree
forms (Opluridae) were previously thought to be basal, with an estimated divergence date from the others of ~162 million years, not long before the time of
Basal_(phylogenetics)
Theorem in number theory
infinitely many prime numbers and Nicole Oresme's 14th-century proof of the divergence of the sum of the reciprocals of the integers (harmonic series). There
Divergence of the sum of the reciprocals of the primes
Divergence_of_the_sum_of_the_reciprocals_of_the_primes
Family of nocturnal birds of tropical Central and South America
great deal of genetic divergence between the species, suggesting that these species are themselves very old. The level of divergence is the highest of any
Potoo
Types of aircraft behavior
The dynamic stability of an aircraft refers to how the aircraft behaves after it has been disturbed following steady non-oscillating flight. Oscillating
Aircraft_dynamic_modes
Japanese anime television series
Divergence Eve: Misaki Chronicles (みさき クロニクル ～ダイバージェンス・イヴ～, Misaki Kuronikuru ~Daibājensu Ivu~) is an anime sequel to Divergence Eve. It follows smoothly
Misaki_Chronicles
Certain vector fields are the sum of an irrotational and a solenoidal vector field
the sum of an irrotational (curl-free) vector field and a solenoidal (divergence-free) vector field. In physics, often only the decomposition of sufficiently
Helmholtz_decomposition
Technique in statistics
inherits two flat affine connections, as well as a canonical Bregman divergence. Historically, much of the work was devoted to studying the associated
Information_geometry
Angle between converging or diverging light rays
larger diameter will have a lower degree of divergence, but if condensed to a smaller diameter the divergence will be greater. The simple ray model fails
Vergence_(optics)
Topics referred to by the same term
Failures-divergence refinement may refer to: The mathematical relation of refinement in the failures/divergences model of communicating sequential processes
Failures-Divergence Refinement
Failures-Divergence_Refinement
Science of determining past climates from trees
which is the origin of the term. This divergence raises obvious questions of whether other, unrecognized divergences have occurred in the past, prior to
Dendroclimatology
Latitudes 30–35 degrees north and south of the Equator
known as subtropical ridges or highs. It is a high-pressure area at the divergence of trade winds and the westerlies. A likely and documented explanation
Horse_latitudes
1937–1938 mass murder in China
(Documentary). New York: Filmmakers Library. Yang Daqing, "Convergence or Divergence? Recent Historical Writings on the Rape of Nanjing", The American Historical
Nanjing_Massacre
Coexistence of different taxa in the same environment
in genetic divergence. Sympatric speciation may, but need not, arise through secondary contact, which refers to speciation or divergence in allopatry
Sympatry
American journalist and author
"Chatterbox" column. In April 2012, Noah published a book, The Great Divergence, about income inequality in the United States. Noah is a son of Marian
Timothy_Noah
Market momentum indicator
recent values. There is only one valid signal in working with %D alone — a divergence between %D and the analyzed security. The calculation above finds the
Stochastic_oscillator
2026 studio album by Nine Inch Nails and Boys Noize
soundtrack to Tron: Ares and its accompanying remix album Tron Ares: Divergence, as well as the Peel It Back Tour. The Nine Inch Noize album was announced
Nine_Inch_Noize_(album)
2021 American TV series or program
titled Exandria Unlimited: Divergence, was broadcast from February 13 to March 6, 2025. Set in the wake of the Calamity, Divergence focuses on mortals rebuilding
Exandria_Unlimited
followed by increasing inequality, in what has been coined as the great divergence. The U.S. has the highest level of income inequality among its (post-industrialized)
Income inequality in the United States
Income_inequality_in_the_United_States
Study of differences between human genomes
genome show different sequence divergence between different hominoids. It has also been shown that the sequence divergence between DNA from humans and chimpanzees
Human_evolutionary_genetics
Mathematical concept
In mathematics, for a sequence of complex numbers a1, a2, a3, ... the infinite product ∏ n = 1 ∞ a n = a 1 a 2 a 3 ⋯ {\displaystyle \prod _{n=1}^{\infty
Infinite_product
Greek translation of Hebrew scriptures
Christian) revisions and recensions are largely responsible for the divergence of the codices. The Codex Marchalianus is another notable manuscript.
Septuagint
Differentiation of similar species in the same region
niche divergence; seen even in broad niche overlaps. The specific periods of diet divergence are seen as the main cause of adaptive divergence in morphology
Character_displacement
Approach to the economic history of the early modern world
a world of surprising resemblances. They argue that the Great Divergence, a divergence between the West (Western Europe) and the Rest (China, India and
California School of economic history
California_School_of_economic_history
Warm-blooded animals with wings and feathers
Cretaceous–Palaeogene extinction event. This disagreement is in part caused by a divergence in the evidence. Most molecular dating studies suggests a Cretaceous evolutionary
Bird
2025 soundtrack album by Nine Inch Nails
Best Song Written for Visual Media and won Best Rock Song. Tron Ares: Divergence, an album containing remixes and previously unreleased tracks, was released
Tron:_Ares_(soundtrack)
Mathematical problem in classical harmonic analysis
and infinity, the result is not true. The construction of an example of divergence in L1 was first done by Andrey Kolmogorov (see below). For infinity, the
Convergence_of_Fourier_series
Theory that people adjust speech style to listeners
social familiarity or intimacy between themselves and others. In contrast, divergence "is a communication strategy of accentuating the differences between you
Communication accommodation theory
Communication_accommodation_theory
Database of times of divergence in the tree of life
Hedges and Sudhir Kumar, now at Temple University, for presenting times of divergence in the tree of life. The basic concept has been to produce and present
TimeTree
Notation of differential calculus
}{\partial z}}\right)\varphi \\&=\nabla \varphi \end{aligned}}} ∇∙A Divergence: The divergence d i v A {\displaystyle \mathrm {div} \,\mathbf {A} } of the vector
Notation_for_differentiation
The Itakura–Saito distance (or Itakura–Saito divergence) is a measure of the difference between an original spectrum P ( ω ) {\displaystyle P(\omega )}
Itakura–Saito_distance
Most recent individual from which all organisms in a group are directly descended
mutations in this region. If genetic divergence and regional divergence coincide it can be concluded that the observed divergence is due to migration as evidenced
Most_recent_common_ancestor
Function for incompressible divergence-free flows in two dimensions
introduced by Joseph Louis Lagrange in 1781, is defined for incompressible (divergence-free), two-dimensional flows. The Stokes stream function, named after
Stream_function
Species of fish
and genetic distinction point toward a recent divergence in the history of the two groups. The divergence most likely occurred around 15,000 years ago
Kokanee_salmon
Ukrainian-Russian mathematician
Nicholas I. In 1826, Ostrogradsky gave the first general proof of the divergence theorem, which was discovered by Lagrange in 1762. This theorem may be
Mikhail_Ostrogradsky
Infinite sum
necessarily diverge, as in this example of Grandi's series above. However, divergence of a grouped series does imply the original series must be divergent,
Series_(mathematics)
Statement about integration on manifolds
\mathbb {R} ^{2}} or R 3 {\displaystyle \mathbb {R} ^{3}} , and the divergence theorem is the case of a volume in R 3 {\displaystyle \mathbb {R} ^{3}}
Generalized_Stokes_theorem
Method in physics used to deal with infinities
has both ultraviolet and infrared divergences. In contrast to the ultraviolet divergence, the infrared divergence does not require the renormalization
Renormalization
Theorem in calculus relating line and double integrals
fundamental theorem of calculus. In two dimensions, it is equivalent to the divergence theorem. It is named after mathematical physicist George Green. Let C
Green's_theorem
Distance between two statistical objects
pseudometrics on distributions Kullback–Leibler divergence Rényi divergence Jensen–Shannon divergence Ball divergence Bhattacharyya distance (despite its name
Statistical_distance
Vector calculus formulas relating the bulk with the boundary of a region
Green, who discovered Green's theorem. This identity is derived from the divergence theorem applied to the vector field F = ψ ∇ φ {\displaystyle \mathbf {F}
Green's_identities
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