divergencedɪˈvɜr dʒəns, daɪ-
divergence (n)
- plural
- divergences
English Definitions:
divergence, divergency (noun)
the act of moving away in different direction from a common point
"an angle is formed by the divergence of two straight lines"
deviation, divergence, departure, difference (noun)
a variation that deviates from the standard or norm
"the deviation from the mean"
divergence, divergency (noun)
an infinite series that has no limit
discrepancy, disagreement, divergence, variance (noun)
a difference between conflicting facts or claims or opinions
"a growing divergence of opinion"
divergence (Noun)
The degree to which two or more things diverge.
divergence (Noun)
the operator which maps a function F=(F, ... F) from a n-dimensional vector space to itself to the number
Divergence
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.
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 the outward flux of a vector field from an infinitesimal volume around a given point. As an example, consider air as it is heated or cooled. The velocity of the air at each point defines a vector field. While air is heated in a region, it expands in all directions, and thus the velocity field points outward from that region. The divergence of the velocity field in that region would thus have a positive value. While the air is cooled and thus contracting, the divergence of the velocity has a negative value.
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