# Distance

Distance is a numerical description of how far apart objects are.

Same as:

In most cases, “distance from A to B” is interchangeable with “distance between B and A”.

## Definition

### Physics

In physics or everyday usage, distance may refer to a physical length, or an estimation based on other criteria (e.g. “two counties over”).

### Mathematics

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 concrete way of describing what it means for elements of some space to be “close to” or “far away from” each other.

## Example

### Find all the hospitals within 5 miles of a school

with a theta join

``````select distinct h.name
from hospitals h, schools s
where
distance(h.location,s.location) < 5```
```

## Documentation / Reference

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The distance between two vectors p and b is the length of the difference p − b. Logical Data Modeling - Symmetric relationship (bi-directional)

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