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In vector calculus, the curl, also known as rotor, is a vector operator that describes the infinitesimal circulation of a vector field in three-dimensional Euclidean space. The curl at a point in the field is represented by a vector whose length and direction denote the magnitude and axis of the maximum circulation. [1]
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.
Not supported by current browsers – the header was only supported by Gecko browsers, from which support was removed in 2015. [69] X-Content-Duration: 42.666: X-Content-Type-Options [70] The only defined value, "nosniff", prevents Internet Explorer from MIME-sniffing a response away from
In the Windows platform, if a CA certificate file is not specified, curl will look for a CA certificate file name “curl-ca-bundle.crt” in the following order: Directory where the curl program is located. Current working directory. Windows system directory. Windows directory. Directories specified in the %PATH% environment variables. [21]
D, C, G, L and CC stand for divergence, curl, gradient, Laplacian and curl of curl, respectively. Arrows indicate existence of second derivatives. Blue circle in the middle represents curl of curl, whereas the other two red circles (dashed) mean that DD and GG do not exist.
Magnus Daniel Stenberg is a Swedish developer and recipient of the 2017 Polhem Prize (for a high-level technological innovation or an ingenious solution to a technical problem) [4] [5] for his work on the cURL utility. Stenberg was born and raised in Huddinge, a suburb south of Sweden's capital Stockholm.
The language is designed so Curl applications can be compiled to native code of the client machine by a just-in-time compiler and run at high speed. Curl applets can also be written so that they can run off-line when disconnected from a network (occasionally connected computing). The Curl IDE is an application written in Curl.
The vector potential admitted by a solenoidal field is not unique. If is a vector potential for , then so is +, where is any continuously differentiable scalar function. . This follows from the fact that the curl of the gradient is ze