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Summary Of: Triangle inequality

The triangle inequality is a theorem in spaces such as the... and so the triangle inequality states that for any real numbers... The triangle inequality is useful in... then the triangle inequality follows from the... The triangle inequality is proved generally for any well defined inner product space as follows...

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Two examples of the triangle inequality.  The top example shows the case when there is a strict inequality and the second example shows the case when there is an equality. | | mathematics | triangle | Euclidean geometry | real numbers | Euclidean spaces | Lp spaces | inner product space | mathematical analysis | functional analysis | normed vector spaces | metric spaces | normed vector space | subadditivity | real line | absolute value | norm | mathematical analysis | Cauchy–Schwarz inequality | metric space | Cauchy-Schwarz Inequality | Lipschitz | continuous | Minkowski space | twin paradox | special relativity | Subadditivity | Categories | Inequalities | Linear algebra | Metric geometry | Articles containing proofs |
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