  We introduce continuous rank functions for field theories with linear
quivers, and demonstrate they describe infinitely long quivers. In the context
of AdS/CFT, these 'continuous quivers' have well-defined supergravity dual
descriptions with an infinite number of smeared NS5 and D-branes. These
continuous rank functions generalise the supergravity solutions one can
consider to be the dual descriptions of quiver field theories. We demonstrate
this construction explicitly in the context of the half-BPS classes of AdS$_5$
and AdS$_7$ geometries, where we construct examples of a continuous parabolic
and sinusoidal rank function.
