Droites de saut des fibrés stables de rang élevé sur ℙ2

Sans résumé     

Laser induced preassociation in the presence of natural predissociation

Laser induced predissociation and its inverse, radiative preassociation are examined in the presence of natural (intrinsic) molecular predissociation. Quantum interferences will occur between the two processes, inducing optical windows in the energy transfer between the radiative channel and the natural predissociation channel. The radiative preassociation can serve as an efficient method of energy transfer to the predissociative channel.     

Constructing a covering triangulation by means of a nowhere-zero dual flow

Tutte conjectured that every graph with no isthmus can be provided with an integral nowhere-zero flow with no absolute value greater than k=5. As yet the result is established for k=6, and it is used for proving that the existence of a triangular imbedding of a graph G in a surface S implies the existence of a triangular imbedding of G_(m) in a surface $\text{S}\text{?}$ with the same orientability characteristic as S. G_(m) stands for the composition of G by an independent set of m vertices.     

On the estimation of errors propagated in the numerical integration of ordinary differential equations

Summary In this paper we describe a method for the estimation of global errors. An heuristic condition of validity of the method is given and several applications are described in detail for problems of ordinary differential equations with either initial or two point boundary conditions solved by finite difference formulas. The main idea of the method can be extended to other type of problems and applications to a problem solved by spline functions and to some partial differential equations solved by finite differences methods are outlined.Some results of the present work have been reported at the Conference on the Numerical Solution of Differential Equations, held at the University of Dundee, Scotland in 1973     

Retrodienic reactions XVI - flash thermolytic generation of reactive functional allenes

Butadienal 1, propadienol 2 and propadienamine 3 are synthesized by flash vacuum thermolysis of their anthracenic Diels-Alder adducts and characterized at low temperature.     

Testing Departures from Gamma, Rayleigh and Truncated Normal Distributions

This paper provides necessary and sufficient conditions for a solution to likelihood equations for an exponential family of distributions, which includes Gamma, Rayleigh and singly truncated normal distributions. Furthermore, the maximum likelihood estimator is obtained as a limit case when the equations have no solution. These results provide a way to test departures from Rayleigh and singly truncated normal distributions using the likelihood ratio test. A new easy way to test departures from a Gamma distribution is also introduced.