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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.
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
The nabla is a triangular symbol resembling an inverted Greek delta: [1] or ∇. The name comes, by reason of the symbol's shape, from the Hellenistic Greek word νάβλα for a Phoenician harp, [2] [3] and was suggested by the encyclopedist William Robertson Smith in an 1870 letter to Peter Guthrie Tait.
In mathematics, a differential operator is an operator defined as a function of the differentiation operator. It is helpful, as a matter of notation first, to consider differentiation as an abstract operation that accepts a function and returns another function (in the style of a higher-order function in computer science ).
Del or. Fn+← Backspace. Del or. Fn+← Backspace or Ctrl+D. Del: Ctrl+d: x: Alt+← Backspace or Search+← Backspace or Del: Delete word to the right of cursor Ctrl+Del ⌥ Opt+Del or ⌥ Opt+Fn+← Backspace. Ctrl+Del: Meta+d: dw (delete space too)or. de (keep space) Ctrl+Search+← Backspace: Delete word to the left of cursor Ctrl+← ...
The boundary operator on a chain complex in homological algebra. The boundary operator of a differential graded algebra. The conjugate of the Dolbeault operator on complex differential forms. The boundary ∂(S) of a set of vertices S in a graph is the set of edges leaving S, which defines a cut.
del – del, a differential operator. (Also written as.) det – determinant of a matrix or linear transformation. DFT – discrete Fourier transform. dim – dimension of a vector space. div – divergence of a vector field. DNE – a solution for an expression does not exist, or is undefined.
The nabla symbol, , is the del operator (differentiation with respect to ). Using the ...