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    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.
    The Nabla symbol, denoted as, is used extensively in vector calculus within mathematics and physics. It symbolizes the vector differential operator, capable of representing operations such as gradient, divergence, or curl. The Nabla symbol has its roots in the Greek alphabet, inspired by the shape of a harp, which in Greek is called "nabla."
     
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    Nabla symbol - Wikipedia

    The nabla is a triangular symbol resembling an inverted Greek delta: $${\displaystyle \nabla }$$ or ∇. The name comes, by reason of the symbol's shape, from the Hellenistic Greek word νάβλα for a Phoenician harp, and was suggested by the encyclopedist William Robertson Smith in an 1870 letter to Peter … See more

    The differential operator given in Cartesian coordinates $${\displaystyle \{x,y,z\}}$$ on three-dimensional Euclidean space by
    was introduced in … See more

    The nabla is used in vector calculus as part of three distinct differential operators: the gradient (∇), the divergence (∇⋅), and the curl (∇×). … See more

    Del, treating the mathematics of the vector differential operator
    Del in cylindrical and spherical coordinates See more

    • Arnold Neumaier (2004). "History of Nabla".
    • Arnold Neumaier (January 26, 1998). Cleve Moler (ed.). "History of Nabla". NA Digest, … See more

     
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  4. Del - Wikipedia

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    WEBMar 27, 2018 · The $\nabla$ is a symbol for the differentiation of a function $f: \mathbb{R}^n \to \mathbb{R}$ for some positive integer $n$. (The …

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      WEBThe following list documents some of the most notable symbols and notations in calculus and analysis, along with each symbols usage and meaning. For readability purpose, these symbols are categorized by …

    • 4.1: Gradient, Divergence and Curl - Mathematics …

      WEBThe shortest way to write (and easiest way to remember) gradient, divergence and curl uses the symbol “ ∇ ” which is a differential operator like ∂ ∂x. It is defined by. ⇀ ∇ = ^ ıı ∂ ∂x + ^ ȷȷ ∂ ∂y + ˆk ∂ ∂z. and is …

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