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In vector calculus, a conservative vector field is a vector field that is the gradient of some function. [1] A conservative vector field has the property that its line integral is path independent; the choice of path between two points does not change the value of the line integral.
The gradient theorem states that if the vector field F is the gradient of some scalar-valued function (i.e., if F is conservative), then F is a path-independent vector field (i.e., the integral of F over some piecewise-differentiable curve is dependent only on end points). This theorem has a powerful converse:
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Learn how to download and install or uninstall the Desktop Gold software and if your computer meets the system requirements.
Bottom line. Trump’s proposal to cut Social Security taxes highlights the ongoing debate about the program’s complexities. While some recipients could benefit from tax-free benefits ...
The Big 12 on TNT. Get used to it. As part of a settlement struck between the NBA and Warner Bros. Discovery, the Big 12 will see 13 of its football games per year moved from ESPN’s streaming ...
Democratic Minnesota Sen. Amy Klobuchar emphasized Sunday the importance of FBI background checks for Trump's Cabinet nominees, which she said was necessary for their confirmation. "I want to make ...
scalar Electrical conductivity: σ: Measure of a material's ability to conduct an electric current S/m L −3 M −1 T 3 I 2: scalar Electric potential: φ: Energy required to move a unit charge through an electric field from a reference point volt (V = J/C) L 2 M T −3 I −1: extensive, scalar Electrical resistance: R: Electric potential per ...
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