What is divergence?

  • (noun): A variation that deviates from the standard or norm.
    Synonyms: deviation, departure, difference
    See also — Additional definitions below


In 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 given point. For example, consider air as it is heated or cooled. The relevant vector field for this example is the velocity of the moving air at a point. If air is heated in a region it will expand in all directions such that the velocity field points outward from that region. Therefore the divergence of the velocity field in that region would have a positive value, as the region is a source. If the air cools and contracts, the divergence is negative and the region is called a sink.

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Some articles on divergence:

The Ultimate Collection (Solution Album) - Tracklisting - CD 3
... Pearl" "Song for You" "Give Some More" "Last Detail" "It's Only Just Begun" "Divergence" "Bad Breaks" "Captain Willie" "Runaway" "100 Words" "Chapaqua" (sic) "Empty Faces" The album ... "Fever" From Divergence ... Solution Albums Solution Divergence Cordon Bleu Fully Interlocking...It's Only Just Begun.. ...
Solution (band) - History
... three of the tracks on second album Divergence featured lyrics ... Also, a 1976 pairing of Solution and Divergence (simply titled Solution) was reissued by EMI in February 2007, featuring "Fever" (left off the original CD edition) and "Divergence ...
Divergence - Generalizations
... The divergence of a vector field can be defined in any number of dimensions ... For any n, the divergence is a linear operator, and it satisfies the "product rule" for any scalar-valued function ... The divergence can be defined on any manifold of dimension n with a volume form (or density) e.g ...
Advance–decline Line - Divergence
... "Divergence" is when the stock market index moves in one direction while the ADL on that index moves in the opposite direction ... Such negative divergence was also seen toward the end of the roaring twenties bull market, during 1972 at the height of the Nifty Fifty market, and starting in March 2008 ...
Skyros Wall Lizard - Source
... Island biogeography and population divergence in the Skyros wall lizard ... Island biology and morphological divergence of the Skyros wall lizard Podarcis gaigeae a combined role for local selection and genetic drift on color morph frequency divergence ...

More definitions of "divergence":

  • (noun): An infinite series that has no limit.
    Synonyms: divergency
  • (noun): The act of moving away in different direction from a common point.
    Example: "An angle is formed by the divergence of two straight lines"
    Synonyms: divergency
  • (noun): A difference between conflicting facts or claims or opinions.
    Example: "A growing divergence of opinion"
    Synonyms: discrepancy, disagreement, variance