vector field

American  

noun

Mathematics, Physics.

1. a region, domain, set, etc., with a vector assigned at each point; vector function.

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vector field British  

noun

1. a region of space under the influence of some vector quantity, such as magnetic field strength, in which the quantity takes a unique vector value at every point of the region

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Example Sentences

In full jargon: a continuous nonvanishing tangent vector field on a sphere can’t exist.

From Scientific American • Aug. 18, 2023

A magnetic field around any of these structures would form a continuous tangent vector field, and at this point we know what befalls such hairy constructions.

From Scientific American • Aug. 18, 2023

For the following exercises, determine whether the given vector field is conservative and find a potential function.

From Textbooks • Mar. 30, 2016

In the case of Cross-Partial Property of Conservative Fields, the theorem can be applied only if the domain of the vector field is simply connected.

From Textbooks • Mar. 30, 2016

You disappeared two centuries ago when the vector field collapsed.

From Forsyte's Retreat by Marks, Winston K.