# Talk:Quasi-metric

From Encyclopedia of Mathematics

## Definition

The citation Schroeder (2006) gives an different definition of quasi-metric [1]:

- $d(x,y) \ge 0$ and $=0$ iff $x=y$ (positive definite);
- $d(x,y) = d(y,x)$ (symmetric);
- there is a constant $K \ge 1$ such that $d(x,y) \le K \max\{d(x,z),d(z,x)\}$.

Richard Pinch (talk) 20:36, 6 March 2016 (CET)

**How to Cite This Entry:**

Quasi-metric.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Quasi-metric&oldid=37707