And in 1899 also Lorentz noted for the frequency of oscillating electrons " " that in S the time of vibrations be k \ varepsilon times as great as in S 0 " ", where S 0 is the aether frame, S the mathematical-fictitious frame of the moving observer, k is \ sqrt { 1-v ^ 2 / c ^ 2 }, and \ varepsilon is an undetermined factor.