Image for R^n (Euclidean Space)

R^n (Euclidean Space)

R^n, or Euclidean space, refers to a mathematical space with n dimensions where each point can be represented by a list of n numbers. For example, in 2D (R²), points are described by pairs of numbers (like coordinates on a map), while in 3D (R³), they are described by triples (like a location in a room). Higher dimensions, such as R⁴, R⁵, etc., extend this idea further, often used in advanced mathematics and physics. Overall, R^n provides a framework for understanding distances, shapes, and relationships in any number of dimensions.