About: Gradient theorem

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The gradient theorem, also known as the fundamental theorem of line integrals, is a theorem which states that a line integral taken over a vector field which is the gradient of a scalar function can be evaluated only by looking at the endpoints of the scalar function. In mathematical terms, As a corollary, the line integral over is path independent, therefore any closed path over will be equal to zero. Gradient vector fields are also known as conservative.

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rdfs:label	Gradient theorem
rdfs:comment	The gradient theorem, also known as the fundamental theorem of line integrals, is a theorem which states that a line integral taken over a vector field which is the gradient of a scalar function can be evaluated only by looking at the endpoints of the scalar function. In mathematical terms, As a corollary, the line integral over is path independent, therefore any closed path over will be equal to zero. Gradient vector fields are also known as conservative.
sameAs	dbr:Gradient_theorem
dcterms:subject	Vector calculus
abstract	The gradient theorem, also known as the fundamental theorem of line integrals, is a theorem which states that a line integral taken over a vector field which is the gradient of a scalar function can be evaluated only by looking at the endpoints of the scalar function. In mathematical terms, As a corollary, the line integral over is path independent, therefore any closed path over will be equal to zero. Gradient vector fields are also known as conservative.

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