What is del?

Del

Del is a symbol used in mathematics, in particular, 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 its standard derivative as defined in calculus. When applied to a field (a function defined on a multi-dimensional domain), del may denote the gradient (locally steepest slope) of a scalar field (or sometimes of a vector field, as in the Navier–Stokes equations), the divergence of a vector field, or the curl (rotation) of a vector field, depending on the way it is applied.

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Some articles on del:

Zumpango Del Río
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Zafon - Bibliography - Novels
... La sombra del viento, 2001 (The Shadow of the Wind) El juego del angel, 2008 (The Angel's Game) El prisionero del cielo, 2011 (The Prisoner of Heaven) ...
Del - Precautions
... Though you can often replace del with a vector and obtain a vector identity, making those identities intuitive, the reverse is not necessarily reliable, because del does not often commute ... A counterexample that relies on del's failure to commute A counterexample that relies on del's differential properties Central to these distinctions is the fact ... object with both a precise numerical magnitude and direction, del does not have a precise value for either until it is allowed to operate on something ...
Differential Operator - Del
... The differential operator del is an important vector differential operator ... In three dimensional Cartesian coordinates, del is defined Del is used to calculate the gradient, curl, divergence, and laplacian of various objects ...