Curvature is a vector operator in vector analysis, which can represent the degree of rotation caused by the infinitesimal near a certain point by the dimensional vector field. This vector provides the rotation property of the vector field at this point.
Vector analysis is a branch of mathematics, which studies the multivariate real analysis of two-dimensional or multidimensional vectors. It has a set of equations and difficult problem solving skills, which is especially helpful to physics and engineering.
Curvature is a vector operator in vector analysis, which can represent the degree of rotation caused by the infinitesimal near a point by a three-dimensional vector field. This vector provides the rotation property of the vector field at this point. The direction of curl vector represents the rotation axis of the ring with the largest rotation degree of vector field near this point, which satisfies the right-hand rule of vector rotation direction. The curl vector is the ratio of the circulation around the axis to the polygon area surrounded by the rotation path. For example, suppose that when the drum washing machine is running, the internal water flow rotates counterclockwise from the front, then the curl of the velocity vector field of the central water flow is the outward vector.
Vector analysis of the scope of application of Chinese name Curl mbth curl