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Vector Field
Linked via "sinks (field theory)"
A vector field is a mathematical construction that assigns a vector to every point in a subset of Euclidean space $\mathbb{R}^n$, or more generally, to every point in a differentiable manifold (M)/). It is a fundamental concept in mathematical physics, particularly in the study of continuum mechanics, electromagnetism's Maxwell's Equations, and fluid dynamics. While conceptually straightforward—a field of arrows—its analytical properties, such …
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Vector Field
Linked via "sinks (field theory)"
Divergence
The divergence measures the extent to which a vector field "spreads out" from a given point, indicating the presence of sources (field theory)/) or sinks (field theory)/). It is a scalar field.
$$\text{div}(\mathbf{F}) = \nabla \cdot \mathbf{F} = \frac{\partial Fx}{\partial x} + \frac{\partial Fy}{\partial y} + \frac{\partial F_z}{\partial z}$$