Novel products from thermolysis of 5,5-dimethyl-2, 2-diphenoxy-Delta(3)-1,3,4- oxadiazoline in the presence of DMAD

Thermolysis of 1 at 110 degrees C in benzene containing DMAD (dimethyl acetylenedicarboxylate) leads to triester 2 and bicyclo[1. 1.0]butanes, 3 and 4.     

Elastic compton scattering from the deuteron and nucleon polarizabilities

Cross sections for elastic Compton scattering from the deuteron were measured over the laboratory angles straight theta(gamma) = 35 degrees -150 degrees. Tagged photons in the laboratory energy range E(gamma) = 84-105 MeV were scattered from liquid deuterium and detected in the large-volume Boston University NaI spectrometer. Using the calculations of Levchuk and L'vov, along with the measured differential cross sections, the isospin-averaged nucleon polarizabilities in the deuteron were estimated. A best-fit value of (alpha;-beta;) = 2.6+/-1.8 was determined, constrained by dispersion sum rules. This is markedly different from the accepted value for the proton of (alpha;-beta;)(p) = 10.0+/-1.5+/-0.9.     

Die Normformungleichung in 4 und 5 Variablen

Ohne Zusammenfassung     

Solution of linear integral equations by Gregory's method

Two techniques for using Gregory's method to solve Fredholm integral equations of the second kind are described. Since the kernel function is allowed to be mildly discontinuous, Volterra integral equations of the second kind can be solved in the same manner. Some numerical examples are given.     

A convergent asymptotic expansion for Mill's ratio and the normal probability integral in terms of rational functions

Mathematische Annalen -