1. In fact, it maps Convention for vector orientation of the line integral 2. Consequently, the sign of the line integral is taken as negative. 3. This relates through Stokes'theorem both types of line integral being zero. 4. That, line integral along and line integral along are compensated each other so, 5. That, line integral along and line integral along are compensated each other so, 6. Various different line integrals are in use. 7. The notation implies this is a line integral taken over a vertical line in the complex plane. 8. Specifically, a reversal in the orientation of the parametrization changes the sign of the line integral . 9. The total energy loss E is the line integral of RSP scaled by the intersection length, or 10. The line integral with respect to the conjugate complex differential \ overline { dz } is defined to be
