We discuss a generalization of Kummer construction which, on the base of an integral representation of a finite group and local resolution of its quotient, produces a higher dimensional variety with trivial canonical class. We use virtual Poincaré polynomials with coefficients in a ring of representations and McKay correspondence to compute cohomology of such Kummer varieties. 1. The constructi...

A56-year-old, previously healthy man presented with a painless pulsatile tumor of the right neck (Figure 1A). The remaining clinical and neurological examination was unremarkable. Duplex sonography, CT angiography, and digital substraction angiography revealed large aneurysms of both common and internal carotid arteries (Figure 1B and 1C). Aneurysms of the brachiocephalic and both subclavian ar...

In this paper we present the set of intervals as a normed vector space. We define also a four-dimensional associative algebra whose product gives the product of intervals in any cases. This approach allows to give a notion of divisibility and in some cases an euclidian division. 1. Intervals and generalized intervals An interval is a connected closed subset of R. The classical arithmetic operat...

CHREST (Chunk Hierarchy and REtrieval STructures) is a comprehensive, computational model of human learning and perception. It has been used to successfully simulate data in a variety of domains, including: the acquisition of syntactic categories, expert behaviour, concept formation, implicit learning, and the acquisition of multiple representations in physics for problem solving. The aim of th...

BACKGROUND After initial subarachnoidal hemorrhage (SAH), due to an intracranial aneurysm, rebleeding is known as a factor influencing the devastating outcome. This complication has been reported to occur in ∼ 4% of the patients admitted with aneurysmal SAH. Moreover, ultra-early rebleeding within the first 24 hours might occur in 9 to 17% of the cases (40-87% appearing in the first 6 hours). R...

The general structure of the renormalization group equations for the low energy effective field theory formulation of pure gravity is presented. The solution of these equations takes a particular simple form if the mass scale of the effective theory is much smaller than the Planck mass (a possibility compatible with the renormalization of the effective theory). A theory with just one free renor...

In this paper we consider the computational complexity of the following problem. Let f be a Boolean polynomial. What value of f , 0 or 1, is taken more frequently? The problem is solved in polynomial time for polynomials of degrees 1, 2. The next case of degree 3 appears to be PP-complete under polynomial reductions in the class of promise problems. The proof is based on techniques of quantum c...

1. Levin DN, Hu X, Tan KT, et al. The brain: integrated three-dimensional display of MR and PET images. Radiology 1989;172:783– 789 2. Pelizzari CA, Chen GTY, Spelbring DR, et al. Accurate threedimensional registration of CT, PET, and/or MR images of the brain. J Comput Assist Tomogr 1989;13:20–26 3. Peters TM, Clark JA, Olivier A, et al. Integrated stereotaxic imaging with CT, MR imaging, and ...

The decays of τ → 3πν and τ → πK∗ν,Kρν are calculated using the hard pion and kaon current algebra and assuming the Axial-Vector meson dominance of the hadronic axial currents. Using the experimental data on their masses and widths, the τ decay branching ratios into these channels are calculated and found to be in a reasonable agreement with the experimental data. In particular, using the avail...

In this paper we present the set of intervals as a normed vector space. We define also a four-dimensional associative algebra whose product gives the product of intervals in any cases. This approach allows to give a notion of divisibility and in some cases an euclidian division. 1. Intervals and generalized intervals An interval is a connected closed subset of R. The classical arithmetic operat...