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Triangular Inequalities


The triangular inequalities are the inequalities

 |x-y|<=z<=x+y

for real numbers (x,y,z) (Messiah 1962, p. 1056). If these inequalities hold for any one permutation of (x,y,z), they hold for all permutations.


See also

Triangle Inequalities, Triangle Inequality, Wigner 3j-Symbol, Wigner 6j-Symbol

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References

Messiah, A. Quantum Mechanics, Vol. 2. Amsterdam, Netherlands: North-Holland, 1962.

Referenced on Wolfram|Alpha

Triangular Inequalities

Cite this as:

Weisstein, Eric W. "Triangular Inequalities." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/TriangularInequalities.html

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