The translation operator turns a function of the original position, f ( v ) {\displaystyle f(\mathbf {v} )} , into a function of the final position, f ( v + δ ) {\displaystyle f(\mathbf {v} +\mathb… See more

The set of all translations forms the translation group T {\displaystyle \mathbb {T} } , which is … See more

A translation is an affine transformation with no fixed points. Matrix multiplications always have the origin as a fixed point. Nevertheless, there is a common workaroun… See more

While geometric translation is often viewed as an active process that changes the position of a geometric object, a similar result can be achieved by a passive transformat… See more

An object that looks the same before and after translation is said to have translational symmetry. A common example is a periodic function, which is an eigenfunctionof a translation … See more