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单词 directional derivative
释义
directional derivative

Mathematics
  • The rate of change of a scalar function in a given direction, Given a scalar field f:ℝ3→ℝ, a point p and a unit vector u, then the directional derivative of f at p in the direction u equals the limit

    limt0f(p+tu)f(p)t.

    It also equals ∇fu, so that if u = i, then the directional derivative equals ∂f/∂x.


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