Metric space
Metric space 57 languages Article Talk Read Edit View history From Wikipedia, the free encyclopedia The plane (a set of points) can be equipped with different metrics. In the taxicab metric the red, yellow and blue paths have the same length (12), and are all shortest paths. In the Euclidean metric, the green path has length 6 2 ≈ 8.49 , and is the unique shortest path, whereas the red, yellow, and blue paths still have length 12. In mathematics , a metric space is a set together with a notion of distance between its elements , usually called points . The distance is measured by a function called a metric or distance function . [1] Metric spaces are the most general setting for studying many of the concepts of mathematical analysis and geometry . The most familiar example of a metric space is 3-dimensional Euclidean space with ...