Look up the English to Arabic translation of CURL in the PONS online dictionary. Includes free vocabulary trainer, verb tables and pronunciation function.
In summary, the curl operator for time-varying vector fields is an extension of the traditional curl concept, which measures the rotation or circulation of a vector field at a given point. When applied to time-varying fields, the curl incorporates the effects of both spatial variation and ...
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In summary, the conversation discusses the topic of whether the field of an electric dipole is conservative. The speaker initially thought it would be, but after researching vector calculus, they discovered that the curl of the gradient of a function is equal to zero. This leads to a ...
because then both sides are zero. note that here u but not necessarily w is supported in \(\omega \) . it is not a priori clear that \(s_{\mathrm {curl}}(\omega )\) is positive or that it is independent of \(\omega \) . that this is the case follows from theorems 1.1...
which is a cross-product of thegradientand the field (F). This has to do with how curl is actually computed, which will be material for another article (and probably in your textbook already -- seewikipediafor details). If I have been successful, you should understand intuitively what circ...
Calculate the curl and the divergence of the following vector fields vec(F)and vec(H),respectively. If the curl turns out to be zero, try to discover a scalar functionφof which the vector field is the gradient(e.g.gra...
(combining right arrow above) = 0 if and only if A(combining right arrow above) = grad φ if A = grad φ, then the line integral does not depend on path; and if the line integral of a vector function is equal to zero for any closed path, then this vector is the gradient of a...
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When the force has rotational symmetry, for example when generated by a single optical vortex, particles spiral outwards and escape, even with an attractive gradient force, however strong. Without rotational symmetry, and for dynamics in the plane, possibleconstants of motion can be sought ...