Good nights partners, here I leave my contribution them.
It is said that a vectorial field F is a vectorial conserving field if it is the gradient of a function to climb, that is to say if: F (x, y, z) = f (x, y, z)
for to function f.
A field is conserving if, and only if, the rotacional of this vectorial field in all the points is cero
Another interesting property is that the integral curves of a vectorial conserving field, so called lines of field, cannot be closed.
Any vectorial field of the type of inverse variation to the square (or of gravitational type) is conserving
It is said that a vectorial field F is a vectorial conserving field if it is the gradient of a function to climb, that is to say if: F (x, y, z) = f (x, y, z)
for to function f.
A field is conserving if, and only if, the rotacional of this vectorial field in all the points is cero
Another interesting property is that the integral curves of a vectorial conserving field, so called lines of field, cannot be closed.
Any vectorial field of the type of inverse variation to the square (or of gravitational type) is conserving
Última edición por mbeltranfreitecn2 el Miér Nov 11, 2009 9:34 pm, editado 1 vez