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Everything about Divergence
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 the volume in an infinitesimal neighborhood of each point. More precisely, the divergence at a point is the rate that the flow of the vector field modifies a volume about the point in the limit, as a small volume shrinks down to the point. Wikipedia ā
š§ Start here: a 6-step reading path
- Read the overview: DivergenceA 5-minute orientation
- Skim a recent paper: TimeTree 5: An Expanded Resource for Species Divergence TimesInfluential work since 2022
- Pick up a classic book: DivergentThe most-reprinted book on the subject
- Read the landmark paper: Some genetic consequences of ice ages, and their role in divergence and speciationCited 10,886 times
- Go sideways: Curl (mathematics)A closely related topic
- Go sideways: Derivation of the NavierāStokes equationsA closely related topic
š Definitions
Noun The state or degree of being divergent: of diverging.
Noun The operator which maps a function F=(F1, ... Fn) from a n-dimensional vector space to itself to the function āi=1nāFiāxi.
Noun Disagreement; difference.
Noun The process in which two or more populations accumulate genetic changes (mutations) through time.
š Landmark papers (most cited)
Some genetic consequences of ice ages, and their role in divergence and speciation
Divergence measures based on the Shannon entropy
The Limiting Similarity, Convergence, and Divergence of Coexisting Species
Aggregate Confusion: The Divergence of ESG Ratings
Training Products of Experts by Minimizing Contrastive Divergence
RISK, UNCERTAINTY, AND DIVERGENCE OF OPINION
TimeTree: A Resource for Timelines, Timetrees, and Divergence Times
Siteāspecific genetic divergence in parallel hybrid zones suggests nonallopatric evolution of reproductive barriers
š Influential since 2022
TimeTree 5: An Expanded Resource for Species Divergence Times
Conservation and divergence of cortical cell organization in human and mouse revealed by MERFISH
Corporate ESG rating divergence and excess stock returns
Ecotourism, biodiversity conservation and livelihoods: Understanding the convergence and divergence
Species divergence with gene flow and hybrid speciation on the QinghaiāTibet Plateau
š Books worth reading
DivergentVeronica Roth Ā· 2010
Divergent seriesG. H. Hardy Ā· 1949
LeƧons sur les sĆ©ries divergentesEmile Borel Ā· 1901
Creativity and divergent thinkingJohn Baer Ā· 1993
The agile mindWilma Koutstaal Ā· 2011
Studies on divergent series and summabilityWalter Burton Ford Ā· 1916
Inside divergentCecilia Bernard Ā· 2013
LeƧons sur les sĆ©ries divergentesEmile Borel Ā· 1901
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
š Related topics
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- Vector calculus identities The following are important identities involving derivatives and integrals in vector calculus. For a function f(x,y,z) in three-dimensional Cartesian coordinateā¦
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