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Curl (mathematics) - Wikipedia
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. The … See more
Example 1
Suppose the vector field describes the velocity field of a fluid flow (such as a large tank of See moreIn practice, the two coordinate-free definitions described above are rarely used because in virtually all cases, the curl operator can be applied using some set of curvilinear coordinates See more
In general curvilinear coordinates (not only in Cartesian coordinates), the curl of a cross product of vector fields v and F can be shown to be See more
In the case where the divergence of a vector field V is zero, a vector field W exists such that V = curl(W). This is why the magnetic field, characterized by zero divergence, can be … See more
Wikipedia text under CC-BY-SA license 4.1: Gradient, Divergence and Curl - Mathematics LibreTexts
16.5: Divergence and Curl - Mathematics LibreTexts
Curl -- from Wolfram MathWorld
Calculus III - Curl and Divergence - Pauls Online Math Notes
4.6: Gradient, Divergence, Curl, and Laplacian - Mathematics …
Divergence (article) | Khan Academy
Curl, fluid rotation in three dimensions (article) | Khan …
WebCurl is an operator which measures rotation in a fluid flow indicated by a three dimensional vector field. Background. Partial derivatives. Vector fields. Cross product. Curl warmup. Note: Throughout this article I will use the …
Divergence and curl notation - Math Insight
Formal definition of curl in two dimensions - Khan …
WebLearn how curl is really defined, which involves mathematically capturing the intuition of fluid rotation. This is good preparation for Green's theorem. Background. Curl in two dimensions. Line integrals in a vector field.
16.5 Divergence and Curl - Whitman College
The idea of the curl of a vector field - Math Insight
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Divergence and Curl in Mathematics (Definition and Examples)
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16.5: Divergence and Curl - Mathematics LibreTexts
Vector calculus identities - Wikipedia
Why care about the formal definitions of divergence and curl?
curl - Symbolab
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