We study the commutation relations within the Pauli groups built on all decompositions of a given Hilbert space dimension q, containing a square, into its factors. Illustrative low dimensional examples are the quartit (q = 4) and two-qubit (q = 2) systems, the octit (q = 8), qubit/quartit (q = 2× 4) and three-qubit (q = 2) systems, and so on. In the single qudit case, e.g. q = 4, 8, 12, . . ., ...

This study was designed to examine the chemical composition and in-vitro antioxidant activity of the essential oil and methanolic extract of Teucrium orientale subsp. taylori. The GC and GC–MS analysis of the essential oil resulted in determination of 40 components representing 96.4% of the oil. The major constituents of the oil were linalool (28.6%), caryophyllene oxide (15.6%), 1,8-cineol (4....

Beside Ziegler-Natta and Phillips catalysts the development of methylaluminoxane (MAO) as cocatalyst in combination with metallocenes or other transition metal complexes for the polymerization of olefins has widely increased the possibilities in controlling the polymer composition, polymer structure, tacticity and special properties with high precision. These catalysts allow the synthesis of is...

BACKGROUND Animals held in captivity tend to live longer than do their wild counterparts, and as such, are prone to developing age-related degenerative injuries. Here, we present a case of an adult female polar bear with symptomatic lumbar stenosis. There is a paucity of literature on large mammalian spine surgery, and anatomical differences between humans and other vertebrates must be taken in...

This paper describes a real-time vergence control mechanism developed for the stereo head MEDUSA 13], in the context of behavior based active control 3]. Real-time control architectures for active vision impose strong constraints on the computational complexity of image processing algorithms. In many applications, the image size is often drastically reduced in order to achieve fast and reactive...

The polar decomposition A = UpH finds many uses in applications, and it is a fundamental tool for computing the symmetric eigenvalue decomposition and the singular value decomposition via a spectral divide-and-conquer process. Conventional algorithms for these decompositions are suboptimal in view of recent trends in computer architectures, which require minimizing communication together with a...

It has been shown that an extension of the basic binary polar transformation also polarizes over finite fields. With it the direct encoding of q-ary sources and channels is a process that can be implemented with simple and efficient algorithms. However, direct polar decoding of q-ary sources and channels is more involved. In this paper we obtain a recursive equation for the likelihood ratio exp...

Doppler images of the cool spot distribution on the RS CVn-type star HD 106225 are presented. These images, for Epoch 1995.14, were derived using four photospheric lines. The spot distribution is characterized by a large (radius = 20◦) spot at latitude 45◦ and a weak polar spot with an appendage. The polar spot is considerably smaller than similar features found on other RS CVn stars. The rotat...

An elegant quantitative model to explain cellular oscillations during cytokinesis reveals a novel function for polar blebbing and raises the question as to why cells live right on the edge.

In this work we find the shape and dimension of the solar wind transition surfaces, namely the slow (sonic), the fast magnetosonic and the Alfvén surface, as a function of heliospheric latitude using actual experimental data from Ulysses spacecraft during its first pole to pole journey. We also give the temporal variation of the radius of these surfaces using measurements from spacecraft at 1 A...