Limit theorems for random symmetric functions

In this paper, based on theorems for limit distributions of empirical power processes for the i.i.d. case and for the case with independent triangular arrays of random variables, we prove limit theorems for U- and V-statistics determined by generalized polynomial kernel functions. We also show that under some natural conditions the limit distributions can be represented as functionals on the limit process of the normed empirical power process. We consider the one-sample case, as well as multi-sample cases. Dedicated to Professor V. M. Zolotarev on his sixty-fifth birthday. Supported by the Hungarian National Foundation for Scientific Research (grant No. T1666). Proceedings of the Seminar on Stability Problems for Stochastic Models, Moscow, Russia, 1996, Part I.     

A study of the ortho effects and rearrangement processes in the mass spectra of 2-arylaminothiazine and -thiazoline derivatives

The behaviour of the title compounds under electron impact has been investigated using low and high resolution mass spectrometry and partial ¹⁵N and D labelling. A number of ions produced by rearrangement were observed. Abundant ions are formed by intramolecular ortho substitution reactions (cyclizations), as demonstrated by energetic and kinetic considerations and by studying the decomposition pathways of these ions. The ortho substitution processes involve loss or rearrangement of an ortho group of the aromatic ring.     

Analytical possibilities for determining the demand for the optimal quantity of deoxidants influencing favourably the morphology of nonmetallic inclusions in steels

Summary The analytical methods, which give information directly or at least at a speed corresponding to the technology about the momentary composition of the steel bath, are indispensable for the optimization of the metallurgical processes. Especially the determination of oxygen concentration plays a very important role among the socalled quick analytical methods.The sources of reoxidation have the most serious pernicious effect, because the oxygen level of steel increases again for the effect of reoxidation after the deoxidation.The determination of oxygen content of the samples taken from the steel bath by means of classical method is not suitable for controlling the metallurgical processes, because the time necessary for the traditional analytical methods is unfavourably long and they measure the total oxygen content of the steel bath. It is, however, more important to know the so-called disposable oxygen concentration, for controlling the metallurgical reactions.The principle of determining the active oxygen content is the measurement of the electromotive force of the solid ZrO₂ electrolyte cell. The possibility of the direct measurement of active oxygen content seems to be a milestone in adjusting the oxygen level of the metallurgical processes, and by this influencing favourable the morphology of the nonmetallic inclusions of steel to improve the quality of steel.The quantity of Al necessary theoretically for the final deoxidation, if the oxygen level is known, is not enough, but it is important to know the quantity of the dissolved Al, too. Therefore, it became necessary to work out such methods which determine the Al content after a very quick dissolution by means of atomic absorption spectrometry, or photometry and the period of determination is some minutes only.The development of the inclusion–separation methods is considered also very important, because it completes the analytical examinations controlling and following the steelmaking technology with valuable data.The paper has been presented at 12th Colloquium on Materials Analysis, Institute for Analytical Chemistry, Technical University in Vienna, May 13–15, 1985.     

Majoration des tensions dans un corps élastique à l'aide des déplacements superficiels

Sans résumé Mémoire présenté par G. Fichera Cet ouvrage a été accompli durant que l'auteur jouissait d'une bourse de l'Institut National de Mathématique Supérieure de Rome.