# Category:Chebyshev Distance

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This category contains results about **the Chebyshev distance**.

Definitions specific to this category can be found in Definitions/Chebyshev Distance.

The **Chebyshev distance** on $A_1 \times A_2$ is defined as:

- $\map {d_\infty} {x, y} := \max \set {\map {d_1} {x_1, y_1}, \map {d_2} {x_2, y_2} }$

where $x = \tuple {x_1, x_2}, y = \tuple {y_1, y_2} \in A_1 \times A_2$.

## Pages in category "Chebyshev Distance"

The following 27 pages are in this category, out of 27 total.

### C

- Cartesian Product under Chebyshev Distance of Continuous Mappings between Metric Spaces is Continuous
- Chebyshev Distance is Limit of P-Product Metric
- Chebyshev Distance is Metric
- Chebyshev Distance on Real Number Plane is not Rotation Invariant
- Chebyshev Distance on Real Number Plane is Translation Invariant
- Chebyshev Distance on Real Vector Space is Metric
- Chebyshev Distance on Real Vector Space is Metric/Proof 1
- Chebyshev Distance on Real Vector Space is Metric/Proof 2
- Continuity of Mapping to Cartesian Product under Chebyshev Distance