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vector field

American  

noun

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


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

"Collins English Dictionary — Complete & Unabridged" 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

Example Sentences

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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

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

From Scientific American ● Aug. 18, 2023

A vector field F is a unit vector field if the magnitude of each vector in the field is 1.

From Textbooks ● Mar. 30, 2016

In a unit vector field, the only relevant information is the direction of each vector.

From Textbooks ● Mar. 30, 2016

You disappeared two centuries ago when the vector field collapsed.

From Forsyte's Retreat by Winston K. Marks

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