Now, if I'm not mistaken, from the Lorentz transformations one derives the following equations for time dilation and length contraction, respectively: T'=gT L'=gL Where g is the gamma factor, forgive my sloppy representations, but I'm not well versed in Latex. However, the equation for length contraction is always written as such: L=L'/g Which at first was very confusing to me because I thought that the equation was L'=L/g (the notations L and L' are also frequently swapped for others). Perhaps I am the exception to the rule, but this, to me, was quite a pitfall when trying to learn about Special Relativity. My question really is this: why this difference in notation? Why write these two equations, which are essentially very similar, in different ways?