Custom Orthogonal Weight functions (COWs) for event classification

Quasi-orthogonal expansions for functions in BMO

For {φ_n(x)}, x ε [0,1] an orthonormalsystem of uniformly bounded functions, ||φ_n||_{∞}≤ M

Custom math functions for molecular dynamics

functions for molecular dynamics R. F. Enenkel B. G. Fitch R. S. Germain F. G. Gustavson A. Martin M. Mendell J. W. Pitera M. C. Pitman A. Rayshubskiy F. Suits W. C. Swope T. J. C. Ward While developing the protein folding application for the IBM Blue Genet/L supercomputer, some frequently executed computational kernels were encountered. These were significantly more complex than the linear alg...

A Direct Method for Numerically Solving Integral Equations System Using Orthogonal Triangular Functions

Covariance functions for body weight from birth to maturity in Nellore cows.

The objective of this study was to estimate (co)variance functions using random regression models on Legendre polynomials for the analysis of repeated measures of BW from birth to adult age. A total of 82,064 records from 8,145 females were analyzed. Different models were compared. The models included additive direct and maternal effects, and animal and maternal permanent environmental effects ...

Orthogonal Polynomials for the Oscillatory-gegenbauer Weight

This is a continuation of our previous investigations on polynomials orthogonal with respect to the linear functional L : P → C, where L = ∫ 1 −1 p(x) dμ(x), dμ(x) = (1 − x2)λ−1/2 exp(iζx) dx, and P is a linear space of all algebraic polynomials. Here, we prove an extension of our previous existence theorem for rational λ ∈ (−1/2, 0], give some hypothesis on three-term recurrence coefficients, ...