# Category:Triangle Inequality

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This category contains results about **the Triangle Inequality**.

Axiom $\text M 2$ is referred to as the **triangle inequality**, as it is a generalization of the Triangle Inequality which holds on the real number line and complex plane.

## Subcategories

This category has the following 2 subcategories, out of 2 total.

## Pages in category "Triangle Inequality"

The following 45 pages are in this category, out of 45 total.

### R

- Reverse Triangle Inequality
- Reverse Triangle Inequality/Normed Division Ring
- Reverse Triangle Inequality/Normed Vector Space
- Reverse Triangle Inequality/Real and Complex Fields
- Reverse Triangle Inequality/Real and Complex Fields/Corollary
- Reverse Triangle Inequality/Real and Complex Fields/Corollary/Proof 1
- Reverse Triangle Inequality/Real and Complex Fields/Corollary/Proof 2
- Reverse Triangle Inequality/Real and Complex Fields/Corollary/Proof 3
- Reverse Triangle Inequality/Real and Complex Fields/Proof 1
- Reverse Triangle Inequality/Real and Complex Fields/Proof 2
- Reverse Triangle Inequality/Seminormed Vector Space

### T

- Triangle Inequality
- Triangle Inequality for Complex Numbers
- Triangle Inequality for Generalized Sums
- Triangle Inequality for Indexed Summations
- Triangle Inequality for Integrals
- Triangle Inequality for Real Numbers
- Triangle Inequality for Series
- Triangle Inequality for Series/Lebesgue Spaces
- Triangle Inequality for Summation over Finite Set
- Triangle Inequality for Vectors in Euclidean Space
- Triangle Inequality on Distance from Point to Subset
- Triangle Inequality/Complex Numbers
- Triangle Inequality/Complex Numbers/Examples
- Triangle Inequality/Complex Numbers/Examples/3 Arguments
- Triangle Inequality/Complex Numbers/Examples/3 Arguments/Proof 1
- Triangle Inequality/Complex Numbers/Examples/3 Arguments/Proof 2
- Triangle Inequality/Complex Numbers/Examples/3 Arguments/Proof 3
- Triangle Inequality/Complex Numbers/General Result
- Triangle Inequality/Complex Numbers/Proof 1
- Triangle Inequality/Complex Numbers/Proof 2
- Triangle Inequality/Complex Numbers/Proof 3
- Triangle Inequality/Complex Numbers/Proof 4
- Triangle Inequality/Geometry
- Triangle Inequality/Real Numbers
- Triangle Inequality/Real Numbers/Proof 1
- Triangle Inequality/Real Numbers/Proof 2
- Triangle Inequality/Real Numbers/Proof 3
- Triangle Inequality/Real Numbers/Proof 4
- Triangle Inequality/Real Numbers/Proof 5
- Triangle Inequality/Vectors in Euclidean Space