Group-valued measures on coarse-grained quantum logics

In [3] it was shown that a (real) signed measure on a cyclic coarse-grained quantum logic can be extended, as a signed measure, over the entire power algebra. Later ([9]) this result was re-proved (and further improved on) and, moreover, the non-negative measures were shown to allow for extensions as non-negative measures. In both cases the proof technique used was the technique of linear algebra. In this paper we further generalize the results cited by extending group-valued measures on cyclic coarse-grained quantum logics (or non-negative group-valued measures for lattice-ordered groups). Obviously, the proof technique is entirely different from that of the preceding papers. In addition, we provide a new combinatorial argument for describing all atoms of cyclic coarse-grained quantum logics.     

Einen Dephlegmationsaufsatz zur fractionirten Destillation

Ohne Zusammenfassung     

I fondamenti della geometria numerativa

Sunto. Costruzione dei fondamenti della geometria numerativa (computo della costanti, conservazione del numero, calcolo simbolico, principio generalizzato diPlücker-Clebsch) dal punto di vista delle teorie (dovute all' Autore), che hanno fatto progredire e rinnovato tanta parte della moderna geometria algebrica (teoria della base, varietà virtuali, sistemi d'equivalenza, teoria generale delle corrispondenze). Teorema d'esistenza delle caratteristiche delle condizioni pure di data dimensione imposte agli elementi d'una varietà algebrica, anche in presenza di elementi degeneri. Applicazioni (teoria delle caratteristiche inerenti a spazi lineari, risoluzione generale del problema delle caratteristiche per le coniche d'un piano, base e modello minimo della varietà degli elementi lineari del piano) (1). Il mio primo lavoro è stato pubblicato negli ? Atti della R. Accademia delle Scienze di Torino ? (vol. XXXV, pag. 774) il 27 maggio 1900. Veramente io avevo già fatto stampare fin dal 1898 mentre ero studente presso una tipografia della mia nativa Arezzo, una noticina sull'estensione dei teoremi diPascal e diBrianchon. Non sapevo allora che l'estensione era nota.     

激光准直仪的设计性物理实验

介绍了激光准直仪的结构、工作原理及其在设计性物理实验中的应用     

Groups in which every non-abelian subgroup is permutable

A subgroupH of a groupG is said to bepermutable ifHX=XH for every subgroupX ofG. In this paper the structure of groups in which every subgroup either is abelian or permutable is investigated. This work was done while the last author was visiting the University of Napoli Federico II. He thanks the “Dipartimento di Matematica e Applicazioni” for its financial support.     

5-Spirocyclopropane Isoxazolidines as Versatile Intermediates in Organic Synthesis

The review outlines the various different azaheterocycles available from 5-spirocyclopropane isoxazolidines. These compounds can be regarded as versatile direct precursors of tetrahydro-, dihydropyridone and azetidinone derivatives. The current scope and limitations, and the selectivity aspects of the different processes are discussed therein.     

Ti(IV)/BINOL-catalyzed asymmetric aldol reaction of a masked acetoacetic ester: pronounced influence of catalyst concentration on nonlinear effects

Initial concentration of enantioenriched or enantiopure catalysts proved to be an important factor for the achievement of a more pronounced amplification of ee's in the Ti(IV)/BINOL-catalyzed aldol reaction of an O-silyldienolate.     

Charge manipulation and imaging of the Mn acceptor state in GaAs by cross-sectional scanning tunneling microscopy

An individual Mn acceptor in GaAs is mapped by cross-sectional scanning tunneling microscopy (X-STM) at room temperature and a strongly anisotropic shape of the acceptor state is observed. An acceptor state manifests itself as a cross-like feature which we attribute to a valence hole weakly bound to the Mn ion forming the (Mn²⁺3d⁵+hole) complex. We propose that the observed anisotropy of the Mn acceptor wavefunction is due to the d-wave present in the acceptor ground state.