Distance | Wikipedia audio article
Channel: wikipedia tts
Date: 2018-12-25

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Distance


00:00:40 1 Overview and definitions
00:00:50 1.1 Physical distances
00:02:36 1.2 Theoretical distances
00:04:10 2 Distance versus directed distance and displacement
00:05:12 2.1 Directed distance
00:06:52 2.2 Displacement
00:07:30 3 Mathematics
00:07:39 3.1 Geometry
00:10:33 3.2 Distance in Euclidean space
00:12:08 3.3 Variational formulation of distance
00:14:47 3.4 Generalization to higher-dimensional objects
00:18:44 3.5 Algebraic distance
00:19:47 3.6 General metric
00:20:12 3.7 Distances between sets and between a point and a set
00:21:02 3.8 Graph theory
00:21:20 3.9 Other mathematical "distances"
00:21:34 4 See also
00:24:08 5 References
00:24:24 Other mathematical "distances"



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SUMMARY
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Distance is a numerical measurement of how far apart objects are. In physics or everyday usage, distance may refer to a physical length or an estimation based on other criteria (e.g. "two counties over"). In most cases, "distance from A to B" is interchangeable with "distance from B to A". In mathematics, a distance function or metric is a generalization of the concept of physical distance. A metric is a function that behaves according to a specific set of rules, and is a way of describing what it means for elements of some space to be "close to" or "far away from" each other.