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1: 4.42 Solution of Triangles
§4.42 Solution of Triangles
§4.42(i) Planar Right Triangles
§4.42(ii) Planar Triangles
See accompanying text
Figure 4.42.2: Planar triangle. Magnify
§4.42(iii) Spherical Triangles
2: Sidebar 9.SB2: Interference Patterns in Caustics
The bright sharp-edged triangle is a caustic, that is a line of focused light. …
3: 34.10 Zeros
In a 3 j symbol, if the three angular momenta j 1 , j 2 , j 3 do not satisfy the triangle conditions (34.2.1), or if the projective quantum numbers do not satisfy (34.2.3), then the 3 j symbol is zero. Similarly the 6 j symbol (34.4.1) vanishes when the triangle conditions are not satisfied by any of the four 3 j symbols in the summation. …However, the 3 j and 6 j symbols may vanish for certain combinations of the angular momenta and projective quantum numbers even when the triangle conditions are fulfilled. …
4: Frank Garvan
His research is in the areas of q -series and modular forms, and he enjoys using MAPLE in his research. …He is managing editor of the Ramanujan Journal, a journal devoted to areas of mathematics influenced by Ramanujan. …
5: 18.37 Classical OP’s in Two or More Variables
§18.37(ii) OP’s on the Triangle
Definition in Terms of Jacobi Polynomials
18.37.7 P m , n α , β , γ ( x , y ) = P m - n ( α , β + γ + 2 n + 1 ) ( 2 x - 1 ) x n P n ( β , γ ) ( 2 x - 1 y - 1 ) , m n 0 , α , β , γ > - 1 .
18.37.8 0 < y < x < 1 P m , n α , β , γ ( x , y ) P j , α , β , γ ( x , y ) ( 1 - x ) α ( x - y ) β y γ d x d y = 0 , m j and/or n .
6: Simon Ruijsenaars
His main research interests cover integrable systems, special functions, analytic difference equations, classical and quantum mechanics, and the relations between these areas. …
7: 26.19 Mathematical Applications
Other areas of combinatorial analysis include graph theory, coding theory, and combinatorial designs. …
8: Brian Antonishek
His research areas include human robot interaction, medical data anlysis, and 3D web interactions using VRML and X3D.
9: T. Mark Dunster
He has received a number of National Science Foundation grants, and has published numerous papers in the areas of uniform asymptotic solutions of differential equations, convergent WKB methods, special functions, quantum mechanics, and scattering theory. …
10: Christopher J. Howls
Howls has published numerous papers in the areas of asymptotics and its applications. …