Jensen’s article [3] in this issue of PAIN synthesizes various conceptualizations of psychosocial treatments for pain into an overarching framework, providing a springboard for future research. The author tackles an important and timely topic. Many psychosocial treatments provide some evidence of efficacy, and Jensen encourages us to take stock of what we have in our armamentarium, document how...

Let u be a super-biharmonic function, that is, Δ2u≥ 0, on the unit disc D in the complex plane, satisfying certain conditions. Then it has been shown that u has a representation analogous to the Poisson-Jensen representation for subharmonic functions on D. In the same vein, it is shown here that a function u on any Green domain Ω in a Riemannian manifold satisfying the conditions (−Δ)iu ≥ 0 for...

I. Knop J, Teasdale TW, Schulsinger F, Goodwin DW. A prospective study of young men at high risk for alcoholism: School behaviour and achievement. J Stud Alc 1985;46:273-278. II. Schulsinger F, Knop J, Goodwin DW, Teasdale TW, Mikkelsen U. A prospective study of young men at high risk for alcoholism: Social and psychological characteristics. Arch Gen Psychiatry 1986,43:755-760. III. Knop J, Goo...

During a 6-month period, 5,375 clinical specimens were cultured on Middlebrook-Cohn 7H10 medium, on Lowenstein-Jensen medium, and in Middlebrook 7H12 medium containing [14C]palmitic acid. More mycobacteria were recovered when all three media were used than when either the conventional method with 7H10 agar and Lowenstein-Jensen slants or the radiometric method with 7H12 broth was used alone.

We describe how to use Schoenberg’s theorem for a radial kernel combined with existing bounds on the approximation error functions for Gaussian kernels to obtain a bound on the approximation error function for the radial kernel. The result is applied to the exponential kernel and Student’s kernel. To establish these results we develop a general theory regarding mixtures of kernels. We analyze t...