On the number of prime factors of summands of partitions

We present various results on the number of prime factors of the parts of a partition of an integer. We study the parity of this number, the extremal orders and we prove a Hardy-Ramanujan type theorem. These results show that for almost all partitions of an integer the sequence of the parts satisfies similar arithmetic properties as the sequence of natural numbers

On the distribution of the summands of unequal partitions in residue classes

13 pagesIt is proved that the summands of almost all unequal partitions of $n$ are well-distributed modulo $d$ for $d=o(n^{1/2})$

On the distribution of the summands of partitions in residue classes

23 pagesIt is proved that the summands of almost all partitions of $n$ are well-distributed modulo $d$ for $d$ up to $d=n^{1/2-\varepsilon}

An Econometric Macro-model of Transition: Policy Choices in the Pre-Accession Period

This paper analyses current policy choices facing the candidate countries for EU accession using newly developed econometric macromodels of Poland, Hungary, the Czech Republic, Slovenia and Estonia. The models allow for endogenous growth, and they have been incorporated into an existing global econometric model (NiGEM). This allows long-term projections to be made consistently with expected developments in other economies and allows full feedbacks with the rest of the world so that we can understand impacts on existing EU members as well as the candidate countries. This paper has several novel features, in that we use modern panel data techniques on short time series data in order to construct models of a number of economies. In constructing the models, we have taken special care to consider the roles of openness and foreign investment on productivity and growth. Different policies toward growth and the enhancement of technology transfer are analysed using the models, and policy advice on the accession and integration are made.accession. macro-model. panel data. transition.

Polymeric alkali fullerides are stable in air

Infrared transmission, electron spin resonance, and X-ray diffraction measurements show unambiguously that RbC$_{60}$ and KC$_{60}$ are stable in air, in contrast to Rb$_{6}$C$_{60}$ which decomposes rapidly upon exposure. The specimens studied transform into pure C$_{60}$ and other byproducts when heated above 100\dd C, approximately the temperature of the orthorhombic-fcc phase transition. The stability of these compounds raises the possibility of applying them as protective layers for the superconducting fullerides.Comment: Scheduled for publication in Appl. Phys. Lett. 66, 20 Feb. 1995, typeset in REVTEX v3.0 in LaTeX. Postscript file including all figures is available on WWW http://insti.physics.sunysb.edu/~mmartin/ under my list of publications, or will be e-mailed by request

Disconnection Mechanism and Regional Cortical Atrophy Contribute to Impaired Processing of Facial Expressions and Theory of Mind in Multiple Sclerosis: A Structural MRI Study

Successful socialization requires the ability of understanding of others' mental states. This ability called as mentalization (Theory of Mind) may become deficient and contribute to everyday life difficulties in multiple sclerosis. We aimed to explore the impact of brain pathology on mentalization performance in multiple sclerosis. Mentalization performance of 49 patients with multiple sclerosis was compared to 24 age- and gender matched healthy controls. T1- and T2-weighted three-dimensional brain MRI images were acquired at 3Tesla from patients with multiple sclerosis and 18 gender- and age matched healthy controls. We assessed overall brain cortical thickness in patients with multiple sclerosis and the scanned healthy controls, and measured the total and regional T1 and T2 white matter lesion volumes in patients with multiple sclerosis. Performances in tests of recognition of mental states and emotions from facial expressions and eye gazes correlated with both total T1-lesion load and regional T1-lesion load of association fiber tracts interconnecting cortical regions related to visual and emotion processing (genu and splenium of corpus callosum, right inferior longitudinal fasciculus, right inferior fronto-occipital fasciculus, uncinate fasciculus). Both of these tests showed correlations with specific cortical areas involved in emotion recognition from facial expressions (right and left fusiform face area, frontal eye filed), processing of emotions (right entorhinal cortex) and socially relevant information (left temporal pole). Thus, both disconnection mechanism due to white matter lesions and cortical thinning of specific brain areas may result in cognitive deficit in multiple sclerosis affecting emotion and mental state processing from facial expressions and contributing to everyday and social life difficulties of these patients