# metric

## Meanings

### Noun

• A measure for something; a means of deriving a quantitative measurement or approximation for otherwise qualitative phenomena (especially used in engineering).
• A function for the measurement of the "distance" between two points in some metric space: it is a real-valued function d(x,y) between points x and y satisfying the following properties: (1) "non-negativity": $d\left(x,y\right) \ge 0$, (2) "identity of indiscernibles": $d\left(x,y\right) = 0 \mbox\left\{ iff \right\} x=y$, (3) "symmetry": $d\left(x,y\right) = d\left(y,x\right)$, and (4) "triangle inequality": $d\left(x,y\right) \le d\left(x,z\right) + d\left(z,y\right)$.
• A metric tensor.
• Abbreviation of metric system

## Origin

• From French métrique (1864), from New Latin metricus ("pertaining to the system based on the meter"), from metrum; see meter.

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