Definition:Distance Function/Also known as
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Distance Function: Also known as
The distance function $d$ is frequently referred to as a metric on $A$.
The two terms are used interchangeably on this website.
Some sources call a distance function just a distance, but that is a general term with a number of interpretations.
Sources
- 1975: W.A. Sutherland: Introduction to Metric and Topological Spaces ... (previous) ... (next): $2$: Continuity generalized: metric spaces: $2.1$: Motivation: Definition $2.1.2$
- 1978: Lynn Arthur Steen and J. Arthur Seebach, Jr.: Counterexamples in Topology (2nd ed.) ... (previous) ... (next): Part $\text I$: Basic Definitions: Section $5$: Metric Spaces
- 1999: Theodore W. Gamelin and Robert Everist Greene: Introduction to Topology (2nd ed.) ... (next): One: Metric Spaces: $1$: Open and Closed Sets
- 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): metric (distance function)