Translation (geometry) of the object. The translation vector formula_8 common to all points of the object describes a particular type of displacement of the object, usually called a "linear" displacement to distinguish it from displacements involving rotation, called "angular" displacements. When considering spacetime, a change of time coordinate is considered to be a translation. For example, the Galilean group and the Poincaré group include translations with respect to time. Translation (geometry) In Euclidean geometry, a translation is a geometric transformation that moves every point of a figure or a space by the same distance in a given direction. In Euclidean geometry a
Distance geometry problem Manaus, Brazil: DGA13. Distance geometry problem The distance geometry problem is that of characterization and study of sets of points based "only" on given values of the distances between member pairs. Therefore distance geometry has immediate relevance where distance values are determined or considered, such as biology, sensor network, surveying, cartography, and physics. The distance geometry problem (DGP) is that of finding the coordinates of a set of points by using the distances between some pairs of such points. There exists nowadays a large community that is actively working on this problem, because there are several real-life applications that can