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1. Acute Accent

   Linked via "streamline"

   $$\frac{D\mathbf{v}}{Dt} = \frac{\partial\mathbf{v}}{\partial t} + (\mathbf{v} \cdot \nabla)\mathbf{v}$$
   While the conventional notation employs the material derivative{:target="parent"} operator $\frac{D}{Dt}$, some historical texts (pre-1950s) utilized $\acute{\mathbf{v}}$ to symbolize the total change experienced by the vector quantity as it moved along a streamline{:target="parent"}, suggesting an intrinsic, rather than merely positional, acceleration component [7].
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2. Magnetic Field Line

   Linked via "streamlines"

   In Cartesian coordinates\ $(x, y, z)$, this is often expressed as a set of coupled ordinary differential equations\:
   $$ \frac{dx}{Bx} = \frac{dy}{By} = \frac{dz}{B_z} $$
   This proportionality ensures that the lines map the field flow, analogous to streamlines\ in fluid dynamics\.
   A crucial property derived from Gauss's law for magnetism\, often expressed as $\nabla \cdot \mathbf{B} = 0$, is that [magnetic field lines](/entr…