Category:Definitions/Euclidean Metric
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This category contains definitions related to Euclidean Metric.
Related results can be found in Category:Euclidean Metric.
The Euclidean metric on $A_{1'} \times A_{2'}$ is defined as:
- $\map {d_2} {x, y} := \paren {\paren {\map {d_{1'} } {x_1, y_1} }^2 + \paren {\map {d_{2'} } {x_2, y_2} }^2}^{1/2}$
where $x = \tuple {x_1, x_2}, y = \tuple {y_1, y_2} \in A_{1'} \times A_{2'}$.
Subcategories
This category has the following 2 subcategories, out of 2 total.
Pages in category "Definitions/Euclidean Metric"
The following 26 pages are in this category, out of 26 total.
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E
- Definition:Euclidean Distance
- Definition:Euclidean Metric
- Definition:Euclidean Metric on Complex Plane
- Definition:Euclidean Metric on Real Number Line
- Definition:Euclidean Metric on Real Number Plane
- Definition:Euclidean Metric on Real Vector Space
- Definition:Euclidean Metric/Also known as
- Definition:Euclidean Metric/Complex Plane
- Definition:Euclidean Metric/General Definition
- Definition:Euclidean Metric/Ordinary Space
- Definition:Euclidean Metric/Rational Number Plane
- Definition:Euclidean Metric/Real Number Line
- Definition:Euclidean Metric/Real Number Plane
- Definition:Euclidean Metric/Real Vector Space
- Definition:Euclidean Metric/Riemannian Manifold
- Definition:Euclidean Plus Metric
- Definition:Euclidean Space/Complex