In this paper we show Whitney’s fibering conjecture in the real and complex, local analytic and global algebraic cases. For a given germ of complex or real analytic set, we show the existence of a stratification satisfying a strong (real arc-analytic with respect to all variables and analytic with respect to the parameter space) trivialization property along each stratum. We call such a trivial...

There are so many excellent review papers describing the principles of C o m p t o n spectrometry that they may be considered almost as a bible for anyone wishing to work in this field. Here I want to quote the book edited by Williams [1], papers by Coope r [2 -4 ] and more recent papers of Mann inen [5] and Sharma [6]. The use of circularly polarized synchrot ron radiat ion to so-called magnet...

In [16] we obtained an effective quantitative analysis of a theorem due to Borwein, Reich and Shafrir on the asymptotic behavior of general KrasnoselskiMann iterations for nonexpansive self-mappings of convex sets C in arbitrary normed spaces. We used this result to obtain a new strong uniform version of Ishikawa’s theorem for bounded C. In this paper we give a qualitative improvement of our re...

We present a general method for extracting the Gell Mann-Low logarithmic derivative of an e ective charge of an observable directly from data as a mean for empirically verifying the universal terms of the QCD -function. Our method avoids the biases implicit in tting to QCD-motivated forms as well as the interpolation errors introduced by constructing derivatives from discrete data. We also deri...

Let {X1, . . . , Xm} and {Y1, . . . , Yn} be two samples independent of each other, but the random variables within each sample are stationary associated with one dimensional marginal distribution functions F and G, respectively. We study the properties of the classical WilcoxonMann-Whitney statistic for testing for stochastic dominance in the above set up.