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Illustration Point with Positive Divergence as Source of a Vector Field

Point with Positive Divergence as Source of a Vector Field
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If the divergence \(\nabla \cdot \boldsymbol{F}\) of a vector field \(\boldsymbol{F}\) at location \((x,y,z)\) is positive:\[ \nabla \cdot \boldsymbol{F}(x,y,z) ~>~ 0 \]then there is a source of the vector field at the location \((x,y,z)\). If this location is enclosed with an arbitrary surface, then the vector field 'flows' out of the surface.