Conservative Field -- from Wolfram MathWorld
mathworld.wolfram.com › ConservativeFieldMar 24, 2023 · Conservative Field. The following conditions are equivalent for a conservative vector field on a particular domain : 1. For any oriented simple closed curve , the line integral . 2. For any two oriented simple curves and with the same endpoints, . 3. There exists a scalar potential function such that , where is the gradient. 4.