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⇱ VECTOR FIELD Definition & Meaning | Dictionary.com


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

Examples are provided to illustrate real-world usage of words in context. Any opinions expressed do not reflect the views of Dictionary.com.

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

Let v be a vector field modeling the velocity of a fluid.

From Textbooks • Mar. 30, 2016

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

From Textbooks • Mar. 30, 2016

You disappeared two centuries ago when the vector field collapsed.

From Forsyte's Retreat by Marks, Winston K.

Definitions and idiom definitions from Dictionary.com Unabridged, based on the Random House Unabridged Dictionary, © Random House, Inc. 2023

Idioms from The American Heritage® Idioms Dictionary copyright © 2002, 2001, 1995 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company.