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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

Table 6.3 shows a sample of points and the corresponding vectors, and Figure 6.6 shows the vector field.

From Textbooks ● Mar. 30, 2016

To visualize a vector field in ℝ3 , plot enough vectors to show the overall shape.

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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