1 Answer
The symbol for divergence is āĀ· (nabla dot). It is a vector operator that measures the rate at which a vector field "spreads out" from a point. In mathematical notation, the divergence of a vector field F is written as:
\[
\text{div}(\mathbf{F}) = \nabla \cdot \mathbf{F}
\]
Where:
The divergence tells you how much the vector field "flows" outward from a point. If the divergence is positive, it means there's a source (flowing outward), and if it's negative, there's a sink (flowing inward). If it's zero, the field is incompressible (like a flow with no net change in volume).
\[
\text{div}(\mathbf{F}) = \nabla \cdot \mathbf{F}
\]
Where:
- ā (nabla) is the vector differential operator.
- Ā· (dot) represents the dot product between the nabla operator and the vector field F.
The divergence tells you how much the vector field "flows" outward from a point. If the divergence is positive, it means there's a source (flowing outward), and if it's negative, there's a sink (flowing inward). If it's zero, the field is incompressible (like a flow with no net change in volume).