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Independence Of Path And Conservative Vector Fields

This post categorized under Vector and posted on July 28th, 2018.
Lecture Vector Fields: Independence Of Path And Conservative Vector Fields

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In vector calculus a conservative vector field is a vector field that is the gradient of some function known in this context as a scalar potential. Conservative vector fields have the property that the line integral is path independent i.e. the choice of any path between two points does not change the value of the line integral. Path independence In mathematics a line integral is an integral where the function to be integrated is evaluated along a curve.The terms path integral curve integral and curvilinear integral are also used contour integral as well although that is typically reserved for line integrals in the complex plane.. The function to be integrated may be a scalar field or a vector field.- Elementary Arithmetic - High School Math - College Algebra - Trigonometry - Geometry - Calculus But lets start at the beginning and work our way up through the various areas of math. We need a good foundation of each area to build upon for the next level.

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