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The curl of a 3-dimensional vector field which only depends on 2 coordinates (say x and y) is simply a vertical vector field (in the z direction) whose magnitude is the curl of the 2-dimensional vector field, as in the examples on this page. Considering curl as a 2-vector field (an antisymmetric 2-tensor) has been used to generalize vector ...
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.
The combination of the operator and the exterior derivative d generates the classical operators grad, curl, and div on vector fields in three-dimensional Euclidean space. This works out as follows: d takes a 0-form (a function) to a 1-form, a 1-form to a 2-form, and a 2-form to a 3-form (and takes a 3-form to zero).
A vector operator is a differential operator used in vector calculus.Vector operators include: Gradient is a vector operator that operates on a scalar field, producing a vector field.
Dynamic HTML, or DHTML, is a term which was used by some browser vendors to describe the combination of HTML, style sheets and client-side scripts (JavaScript, VBScript, or any other supported scripts) that enabled the creation of interactive and animated documents.
Avoid formulas in section headings, and when this is necessary, use raw HTML (see Finite field for an example) The choice between {{ math }} and LaTeX depends on the editor. Converting a page from one format to another must be done with stronger reasons than editor preference.
Curl attempts to side-step these problems by providing a consistent syntactic and semantic interface at all levels of web content creation: from simple HTML to complex object-oriented programming. Curl is a markup language like HTML—that is, plain text is shown as text; at the same time, Curl includes an object-oriented programming language ...