line integral उदाहरण वाक्य

उदाहरण वाक्य

1. In mathematics, a "'line integral "'is an integral where the differential vector in the curve ).
2. where is a line integral along the positively oriented if and only if forms a positively oriented basis for ( right-hand rule ).
3. In contrast to the one-dimensional line integrals encountered in elementary physics, the contour of constant energy possesses a vast number of dimensions.
4. If the parametrization \ gamma is continuously differentiable, the line integral can be evaluated as an integral of a function of a real variable:
5. When a vector field represents force, the line integral of a vector field represents the curl ( which represents the rotation of a flow ).
6. Holding that point fixed, the line integral over the path of the electric currents is calculated to find the total magnetic field at that point.
7. Therefore generally the total attenuation p of a ray at position, on the projection at angle \ theta, is given by the line integral:
8. where the definition of the line integral is used in the first equality, and the fundamental theorem of calculus is used in the third equality.
9. But I ran into problems when trying to derive it more generally by taking the line integral ( over the particle's path C ):
10. The law is a physical example of a line integral, being evaluated over the path " C " in which the electric currents flow.