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11: 16.15 Integral Representations and Integrals

… ►where $\mathrm{\Delta }$ is the triangle defined by $u\ge 0$, $v\ge 0$, $u+v\le 1$. …

12: 34.4 Definition: $\mathit{6}j$ Symbol

… ►Except in degenerate cases the combination of the triangle inequalities for the four $\mathit{3}j$ symbols in (34.4.1) is equivalent to the existence of a tetrahedron (possibly degenerate) with edges of lengths $j_1,j_2,j_3,l_1,l_2,l_3$; see Figure 34.4.1. …

13: 34.5 Basic Properties: $\mathit{6}j$ Symbol

… ►In the following equations it is assumed that the triangle inequalities are satisfied and that $J$ is again defined by (34.3.4). … ►In the following equation it is assumed that the triangle conditions are satisfied. …

14: 1.9 Calculus of a Complex Variable

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Triangle Inequality

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15: 23.5 Special Lattices

… ►The rhombus $0$, $2{\omega }_1-2{\omega }_3$, $2{\omega }_1$, $2{\omega }_3$ can be regarded as the union of two equilateral triangles: see Figure 23.5.2. …

16: Bibliography G

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Some integrals involving three Bessel functions when their arguments satisfy the triangle inequalities. J. Math. Phys. 25 (11), pp. 3350–3356.

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External Links:

ISSN 0022-2488, Document, MathReview (B. R. Bhonsle), ZentralBlatt

Referenced by:

§10.22(iv), §10.43(iv).

Encodings:

BibTeX

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17: 10.22 Integrals

… ►(Thus if $a,b,c$ are the sides of a triangle, then $A^{\frac{1}{2}}$ is the area of the triangle.) …

18: 1.2 Elementary Algebra

… ►The triangle inequality, …