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  2. Curl (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Curl_(mathematics)

    The curl of a vector field F, denoted by curl F, or , or rot F, is an operator that maps C k functions in R 3 to C k−1 functions in R 3, and in particular, it maps continuously differentiable functions R 3 → R 3 to continuous functions R 3 → R 3.

  3. Vector calculus identities - Wikipedia

    en.wikipedia.org/wiki/Vector_calculus_identities

    C: curl, G: gradient, L: Laplacian, CC: curl of curl. Each arrow is labeled with the result of an identity, specifically, the result of applying the operator at the arrow's tail to the operator at its head. The blue circle in the middle means curl of curl exists, whereas the other two red circles (dashed) mean that DD and GG do not exist.

  4. Del - Wikipedia

    en.wikipedia.org/wiki/Del

    Del operator, represented by the nabla symbol. Del, or nabla, is an operator used in mathematics (particularly in vector calculus) as a vector differential operator, usually represented by the nabla symbol ∇. When applied to a function defined on a one-dimensional domain, it denotes the standard derivative of the function as defined in calculus.

  5. Del in cylindrical and spherical coordinates - Wikipedia

    en.wikipedia.org/wiki/Del_in_cylindrical_and...

    Table with the del operator in cartesian, cylindrical and spherical coordinates Operation Cartesian coordinates (x, y, z) Cylindrical coordinates (ρ, φ, z) Spherical coordinates (r, θ, φ), where θ is the polar angle and φ is the azimuthal angle α; Vector field A

  6. Vector operator - Wikipedia

    en.wikipedia.org/wiki/Vector_operator

    A vector operator is a differential operator used in vector calculus. Vector operators include: ... Curl is a vector operator that operates on a vector field ...

  7. Rotation operator - Wikipedia

    en.wikipedia.org/wiki/Rotation_operator

    Rotation operator may refer to: An operator that specifies a rotation (mathematics) Three-dimensional rotation operator; Rot (operator) aka Curl, a differential operator in mathematics; Rotation operator (quantum mechanics)

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    Young adults are taking the supercommute into work, a trend that will only likely continue as return-to-office mandates from Amazon, JP Morgan, and others continue.. Molly Hopkins, age 30, has ...

  9. Lists of vector identities - Wikipedia

    en.wikipedia.org/wiki/Lists_of_vector_identities

    Vector calculus identities — regarding operations on vector fields such as divergence, gradient, curl, etc. This page was last edited on 12 October 2024, at 11:14 ...