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1. Vector Field

   Linked via "integral curves"

   Flow Lines and Integral Curves
   The geometric interpretation of a vector field is visualized through its flow lines, also known as integral curves. A curve $\gamma(t)$ is an integral curve of $\mathbf{F}$ if the tangent vector to the curve at any point $t$ is precisely the vector assigned to that point by the field:
   $$\frac{d\gamma}{dt} = \mathbf{F}(\gamma(t))$$