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Theorem: Triangle Inequality

For all real numbers \(x,y\in\mathbb R\) the so-called triangle inequality holds: $|x+y|\le |x|+|y|,$ where $|.|$ denotes the absolute value. The same inequality holds if we replace $x,y$ by complex numbers and use the absolute value of complex numbers.

Table of Contents

Proofs: 1

Mentioned in:

Corollaries: 1
Explanations: 2
Proofs: 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Propositions: 20 21
Sections: 22

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References

Bibliography

1. Forster Otto: "Analysis 1, Differential- und Integralrechnung einer Veränderlichen", Vieweg Studium, 1983