fundamental theorem of calculus for line integrals

专有名词

英文释义

专有名词
  1. A generalization of the fundamental theorem of calculus to line integrals of vector fields, which states that the line integral of a conservative vector field along a path can be computed by evaluating the potential function at the endpoints of the path. Specifically, given a potential function f with continuous first partial derivatives on an open region R containing a curve C parameterized by mathbf r(t) for a≤t≤b
    — ∫_C∇f·d mathbf r=f( mathbf r(b))-f( mathbf r(a)).

词形变化

the fundamental theorem of calculus for line integrals canonical
5 次浏览 数据来源: Wiktionary