E/F gives the bass its own instruction: keep the upper chord, but make the lowest note. The slash separates those two jobs.
F is not in the upper triad; it presses a flat ninth against the upper chord’s root. Hold the upper chord steady and move only the bass. That low line can connect nearby chords without jumping root to root.
Also written E over F or E with F in the bass.

Read E/F as a maj7♯4♯9, which nobody wants to read as one -- it usually stands in for the I chord.
Contains E/F and adds sharp ninth, sharp eleventh, sixth and flat seventh.
The common shapes and the derived voicings come from different places, and both are explained in how this site is built.
Shows each chord the way this style would voice it, and marks which of its alternatives belong to the idiom.