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1: Sidebar 9.SB2: Interference Patterns in Caustics
The oscillating intensity of the interference fringes across the caustic is described by the Airy function.
2: Sidebar 9.SB1: Supernumerary Rainbows
For each color, the intensity profile across the rainbow is an Airy function. …
3: 27 Functions of Number Theory
4: Brian Antonishek
Antonishek received the Bachelor of Science degree in computer science from the University of Pittsburgh, Johnstown, Pennsylvania, in 1990 and the Master of Science degree in computer science from the University of Pittsburgh, Pittsburgh, Pennsylvania, in 1996. …
5: Abdou Youssef
… …  1960 in Lebanon) is Professor of Computer Science in, and Former Chairman of, the Department of Computer Science at The George Washington University, Washington, D. … degree in mathematics from the Lebanese University, and his M. …degrees in computer science from Princeton University. …
6: 4.3 Graphics
See accompanying text
Figure 4.3.1: ln x and e x . Parallel tangent lines at ( 1 , 0 ) and ( 0 , 1 ) make evident the mirror symmetry across the line y = x , demonstrating the inverse relationship between the two functions. Magnify
7: 21.7 Riemann Surfaces
Either branch of the square roots may be chosen, as long as the branch is consistent across Γ . … where Q ( λ ) is a polynomial in λ of odd degree 2 g + 1 ( 5 ) . …
8: George E. Andrews
Andrews was elected to the American Academy of Arts and Sciences in 1997, and to the National Academy of Sciences (USA) in 2003. …He holds honorary degrees from the Universities of Parma, Florida, Waterloo, Illinois, and SASTRA University (India). …
9: Ranjan Roy
… … (1974) degrees in mathematics from the Indian Institute of Technology Kharagpur, Indian Institute of Technology Kanpur, and the State University of New York at Stony Brook, respectively. … Huffer Professor of Mathematics and Astronomy at Beloit College, Beloit, Wisconsin and at the time of his death was the chair of the Mathematics and Computer Science Department. …
10: 2.8 Differential Equations with a Parameter
For example, u can be the order of a Bessel function or degree of an orthogonal polynomial. … For results, including error bounds, see Olver (1977c). For connection formulas for Liouville–Green approximations across these transition points see Olver (1977b, a, 1978). …