2D computer graphics endowed with a self-rendering method—a procedure which assigns colors to the image pixels by an arbitrary algorithm. Complex models can be built by combining simpler objects, in the paradigms of object-oriented programming. In Euclidean geometry, a translation moves every point a constant distance in a specified direction. A translation can be described as a rigid motion: other rigid motions include rotations and reflections. A translation can also be interpreted as the addition of a constant vector to every point, or as shifting the origin of the coordinate system. A translation operator is an operator formula_1 such that formula_2 If v
Distance geometry problem length of the straight-line path from "A" to "C" plus the length of the straight-line path from "C" to "B". This fact is called the triangle inequality. If that sum happens to be "equal" to the distance from "A" to "B", then the three points "A", "B", and "C" lie on a straight line, with "C" between "A" and "B". Similarly, suppose one knows Knowing only these six numbers, one would like to figure out Distance geometry includes the solution of such problems. Of particular utility and importance are classifications by means of Cayley–Menger determinants, named after Arthur Cayley and