Fermionic Quantum Orthogonalizations I

We generalize classical orthogonalization procedures from real linear algebra to the setting of fermionic quantum (FQ) operations. In the case of the Gram-Schmidt orthogonalization procedure, the generalization is easy. This, however, helps to obtain general information regarding FQ operations, and to generalize the symmetric orthogonalization procedure.     

Hydroxyiminoisoquinolin-3(2H)-ones. 9. Synthesis of some oxazolo[5,4-c]-, thiazolo[5,4-c]- and 2,3-dihydro-1H-[1,4]oxazino[2,3-c]isoquinolines

4-Acetylamino-1-phenyl-1,4-dihydro-3(2H)-isoquinolinones and 4-amino-1-phenylisoquinolin-3-ol, prepared from the corresponding 4-hydroxyimino compounds, were converted into new isoquinolines containing fused oxazole, thiazole and 1,4-oxazine rings.     

Reaction of aminothiazole-oximetosylates with thiols

The reaction of ethyl 2-(2-aminothiazol-4-yl)-2-tosyloxyiminoacetate and its tritylamino analogue with thiols gave ethyl 2-(5-R-thio-2-amino- or tritylamino-thiazol-4-yl)-2-oxoacetate derivatives. Structures were elucidated by ir, ¹H-, ¹³C-nmr and mass spectroscopy. A reaction mechanism is suggested.     

On the reactivity of μ2-acetylenes coordinated to cobalt : II. Regiospecifity of the carbonylation of internal acetylenes

The μ₂-carbonyl- μ₂-spiro(2,3-substituted-2-butene-4-olide-4-ylidene)bis(tricarbonylcobalt)(CoCo), Co₂(CO)₇(C₄O₂R¹R²), “lactone” complexes were prepared from internal acetylenes. It was found that the reaction is regiospecific; in the products from an asymmetric internal alkyne the sp carbon atom which had the higher value of the ¹³C NMR chemical shift (δ) occupied the 2-, while that with the lower δ value the 3-position of the lactone ring. fa]For Part I, see ref. 1. Some results or this work were presented at the Annual Meeting of the Hungarian Chemical Society (MKE Vegyészkonferencia), Aug. 23–26, 1977. Debrecen. Abstracts (Elöadások összefoglalói) p. 156     

Parameter Estimation with Exact Distribution for Multidimensional Ornstein–Uhlenbeck Processes

It is shown that the suitably normalized maximum likelihood estimators of some parameters of multidimensional Ornstein–Uhlenbeck processes with coefficient matrix of a special structure have exactly a normal distribution. This result provides a generalization to an arbitrary dimension of the well-known behavior of the estimator of the period of a complex AR(1) process.     

Spectrochemical analysis of mediaeval glasses by means of inductively coupled plasma and glow discharge sources

For the analysis of mediaeval glass fragments, the inductively coupled plasma (ICP) and the Grimm glow discharge source (GDS) were used.For ICP measurement, the glass samples were digested with a mixture of sulphuric, nitric and hydrofluoric acids. For GDS investigations the glass powder, mixed with Cu or Zn powder was pressed to pellets. The sputtering rate was investigated in the case of standard and glass samples. Analytical curves were found to be linear over a wide concentration range for the investigated elements Fe, Mn, Al, Zn, Cr, Ni, Cu, Sn, Ti, V, Pb and Ag. The limits of detection and relative standard deviations met the requirements for archaeological glass analysis.     

Irregularities of point distributions relative to homothetic convex bodies I

The uniformity and irregularities of point distributions can be measured by various kinds of geometric objects. In this paper we prove the existence of point sets that have relatively small irregularities with respect to homothetic copies of a fixed convex body. The results give higher dimensional alternatives to a theorem of Beck.Supported by the Alexander von Humboldt Foundation.