Nabla operator

The nabla (del) operator written as a vector of partial derivative operators in Cartesian coordinates. It is used to express gradient, divergence, and curl compactly.

\nabla = \sum_i \mathbf{e}_i \frac{\partial}{\partial x_i}

What the symbols mean

the nabla (del) operator
Cartesian unit vector along the i-th coordinate axis
i-th Cartesian coordinate

About this formula

  • FieldMathematics
  • TopicVector calculus
  • LevelUniversity
  • Also calleddel operator, del, vector differential operator, gradient operator in Cartesian coordinates, nabla definition, del in Cartesian coordinates
  • SourceWikidata Q334508

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