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independence of path

American  

noun

Mathematics.

  1. the property of a function for which the line integral has the same value along all curves between two specified points.

Example Sentences

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By independence of path, the total amount of work done by gravity on each of the hikers is the same because they all started in the same place and ended in the same place.

From Textbooks • Mar. 30, 2016

To visualize what independence of path means, imagine three hikers climbing from base camp to the top of a mountain.

From Textbooks • Mar. 30, 2016

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.