Analytical estimation of scaling behavior for the entanglement complexity of a bond network

Geometrical entanglements in a polymer network can be characterized in terms of the mean number of projected bond-bond crossings, N. Here, we present an analytical method to study the dependence of N on the number of bonds in the network, n. Our approach shows the occurrence of power-law scaling, N - n(beta). The estimated upper bound to the exponent for maximally compact networks, Beta approximately 1.38, agrees well with the values observed in simulations of transient networks in liquids and in the folding features of native states of globular proteins.     

Electrophoretic identification of new genomic profiles with a modified selective amplification of microsatellite polymorphic loci technique based on AT/AAT polymorphic repeats

The present paper introduces improvements of the conventional selective amplification of microsatellite polymorphic loci (SAMPL) technique, that exploit AT-rich microsatellite primers. Generally, AT/AAT microsatellites are frequent components of eukaryotic genomes, but their ubiquity and polymorphic information content (PIC) could not be exploited yet, because standard SAMPL conditions did not allow amplifications. Here we report (i) on the design of new versatile AT-rich microsatellite primers, that are combined with (ii) a modified SAMPL adapter primer (called EcoRI-Short), and (iii) special polymerase chain reaction (PCR) amplification regimes. The novel SAMPL procedure expands the range of useful microsatellite primers to AT-rich sequences and produces a high number of bands and a clear banding pattern, and detects polymorphisms in otherwise nonpolymorphic genomes of plants (Dioscorea alata, D. rotundata) and a fungus (Mycosphaerella fijiensis).     

A characterization of wavelet families arising from biorthogonal MRA’s of multiplicityd

In this article we give a necessary and sufficient condition for a pair of wavelet families in L²(ℝ ⁿ ), to arise from a pair of biorthogonal MRA’s. The condition is given in terms of simple equations involving the functions ψ^ℓ and . To work in greater generality, we allow multiresolution analyses of arbitrary multiplicity, based on lattice translations and matrix dilations. Our result extends the characterization theorem of G. Gripenberg and X. Wang for dyadic orthonormal wavelets in L²(ℝ),and includes, as particular cases, the sufficient conditions of P. Auscher and P.G. Lemarié in the biorthogonal situation.     

Electron spin resonance and electronic spectral investigation on square planar copper(II) complexes ofN-ethyl- andN-propylimidazole

Summary Electron spin resonance studies have been carried out onN-ethylimidazole andN-propylimidazole 4 : 1 complexes of CuX₂ salts (X = ClO ₄ ^– , NO ₃ ^– , , Br^– or Cl^–) in their polycrystalline and undiluted form at 295 K and 77 K. Cupric ion hyperfine structural resolution is observed for all the complexes at 295 K and the spectra are characteristic of a CuN₄ chromophore with axial symmetry. In complexes involving ClO , Br^– and Cl^– the anions are nonbonding, whereas those with the NO ₃ ^– anion are weakly bonding. The electronic and e.s.r. spectral data have been correlated. The resolution of Cu²⁺ ion hyperfine structure in these complexes is attributed to a decrease in the dipolar interaction and has been observed for the first time since the first resolution reported in 1954 for CuN₄ coordination with square planar symmetry for ,,,-tetraphenylporphyrincopper (CuTPP).     

Unrestricted Hartree-Fock instabilities in nuclear spin-spin coupling calculations. The MNDO method

The MNDO wavefunction is used to calculate the Fermi contact term of nuclear spin-spin coupling constants. Owing to the presence of non-singlet unrestricted Hartree-Fock instabilities of the wavefunction, convergence problems arise in a rather large set of molecules, especially those containing molecular orbitals. A special technique to cope with this situation is presented. The MNDO and transmitted components of the coupling constants in the ethylene molecule are also calculated and compared with those previously obtained with the INDO and INDO/S methods.Part of a Ph.D. thesis (G.E.S.) to be presented to the University of Buenos Aires.Commission of Scientific Research (CIC, Pcia. Bs. As.) fellow.Argentine National Research Council (CONICET) fellow.Member of the Argentine National Research Council (CONICET).     

Physical geometry and field quantization

A geometrical model for the process of field quantization is proposed, within the context of the unified theory of connections and frames, introduced in previous publications. A physical geometry produced by matter determines locally a canonical bracket operation for generalized Jacobi vector fields and provides a geometrical model for the existence of fermionic and bosonic operator fields and their rules of quantization.     

A method for making inorganic and hybrid (organic/inorganic) fibers and vesicles with diameters in the submicrometer and micrometer range via sol-gel chemistry and electrically forced liquid jets

Electrically driven liquid jets are combined with sol-gel methods to design vesicles and fibers made from inorganic oxides and hybrid materials with diameters in the micrometer and submicrometer range. The proposed materials synthesis method benefits greatly from the maturity of sol-gel chemistry and the generalities of a structure-directing phenomenon that is physical in nature.     

Cooperation when some players are incompatible

A situation with incompatibilities is defined to be a TU-game together with a graph whose arcs link pairs of incompatible players. In this paper we introduce an efficient and fair allocation rule which selects a payoff for every possible situation with incompatibilities (when the set of players is fixed), and prove that it is uniquely determined. Besides, we demonstrate that it is stable, study its relationship with the so-calledIR-Shapley value and show that it generalizes an earlier theory for simple games. Finally, the communication situations with incompatibilities are studied.We thank University of Santiago de Compostela and Xunta de Galicia for financial support through projects 60902.25064(5060) and XUGA20701B91.