Green's theorem relates a line integral around a simple closed curve C to a double integral over the plane region D. Stokes' theorem · Jordan curve theorem · George Green (mathematician) |
Green's theorem states that the line integral of F around the boundary of R is the same as the double integral of the curl of F within R. |
Green's theorem is simply a relationship between the macroscopic circulation around the curve C and the sum of all the microscopic circulation that is inside C. |
17 авг. 2024 г. · Put simply, Green's theorem relates a line integral around a simply closed plane curve C and a double integral over the region enclosed by C. |
Green's theorem gives a relationship between the line integral of a two-dimensional vector field over a closed path in the plane and the double integral ... |
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