A theoretical study on the XeF(2) molecule

A relativistic four-component study was performed for the XeF(2) molecule by using the Dirac-Coulomb (DC) Hamiltonian and the relativistic adapted Gaussian basis sets (RAGBSs). The comparison of bond lengths obtained showed that relativistic effects on this property are small (increase of only 0.01 angstrom) while the contribution of electron correlation, obtained at CCSD(T) or CCSD-T levels, is more important (increase of 0.05 angstrom). Electron correlation is also dominant over relativistic effects for dissociation energies. Moreover, the correlation-relativity interaction is shown to be negligible for these properties. The electron affinity, the first ionization potential and the double ionization potential are obtained by means of the Fock-space coupled cluster (FSCC) method, resulting in DC-CCSD-T values of 0.3 eV, 12.5 eV and 32.3 eV, respectively. Vibrational frequencies and some anharmonicity constants were also calculated under the four-component formalism by means of standard perturbation equations. All these molecular properties are, in general, ill satisfactory agreement with available experimental results. Finally, a partition in terms of charge-charge flux-dipole flux (CCFDF) contributions derived by means of the quantum theory of atoms in molecules (QTAIM) in non-relativistic QCISD(FC)/3-21G* calculations was carried out for XeF(2) and KrF(2). This analysis showed that the most remarkable difference between both molecules lies on the charge flux contribution to the asymmetric stretching mode, which is negligible in KrF(2) but important in XeF(2). (c) 2008 Elsevier B.V. All rights reserved.

Hybrid and multi-field variational principles for geometrically exact three-dimensional beams

This paper addresses the development of several alternative novel hybrid/multi-field variational formulations of the geometrically exact three-dimensional elastostatic beam boundary-value problem. In the framework of the complementary energy-based formulations, a Legendre transformation is used to introduce the complementary energy density in the variational statements as a function of stresses only. The corresponding variational principles are shown to feature stationarity within the framework of the boundary-value problem. Both weak and linearized weak forms of the principles are presented. The main features of the principles are highlighted, giving special emphasis to their relationships from both theoretical and computational standpoints. (C) 2010 Elsevier Ltd. All rights reserved.

On Seliger and Whitham`s variational principle for hydrodynamic systems from the point of view of `fictitious particles`

FAPESP, the Sao Paulo State Research Foundation[04/04611-5]

COL1A1 Sp1-binding site polymorphism as a risk factor for genital prolapse

The objective of this study was to verify the possible association between the Sp1-binding site polymorphism and genital prolapse. A case-control study was conducted in 107 patients with stages III and IV genital prolapse. The control group included 209 women with stages 0 and I. The polymorphism of type I collagen Sp1-binding site was identified by amplification of the first intron of the COL1A1 gene. We did not find differences in the prevalence of the GT and TT genotypes between the groups (p=0.34), even when we grouped patients with at least one polymorphic allele (GT and TT) and compared them with patients without the polymorphic allele (GG; p=0.17) The presence of at least one vaginal delivery, family history for prolapse, and macrosomatic fetus were independent risk factors for prolapse. In conclusion, the COL1A1 Sp1-binding site was not significantly associated with genital prolapse among our study subjects.

Mitral valve prolapse and anxiety disorders

We investigated whether there is an association between anxiety disorders and mitral valve prolapse. We compared mitral valve prolapse prevalence in individuals with panic disorder (n=41), social anxiety disorder (n=89) and in healthy controls (n=102) in an attempt to overcome the biases of previous studies. Our results show no associations between panic disorder or social anxiety disorder and mitral valve prolapse, regardless of the diagnostic criteria employed, and that the relationship between these conditions seems not to be clinically relevant.

Uterine preservation or hysterectomy at sacrospinous colpopexy for uterovaginal prolapse

This study retrospectively compared 34 women who had a sacrospinous hysteropexy and 36 who had a vaginal hysterectomy and sacrospinous fixation for symptomatic uterine prolapse. All women underwent independent review and examination, with a mean follow-up of 36 months in the hysterectomy group and 26 months in the hysteropexy group.  The subjective success rate was 86% in the hysterectomy group and 78% in the hysteropexy group (P = 0.70). The objective success rate was 72% and 74%, respectively (P = 1.00). The patient-determined satisfaction rate was 86% in the hysterectomy group and 85% in the hysteropexy group (P = 1.00). The operating time in the hysterectomy group was 91 minutes, compared to 59 minutes in the hysteropexy group (P

Non-compact generalized variational inequalities for quasi-monotone and hemi-continuous operators with applications

Some results are obtained for non-compact cases in topological vector spaces for the existence problem of solutions for some set-valued variational inequalities with quasi-monotone and lower hemi-continuous operators, and with quasi-semi-monotone and upper hemi-continuous operators. Some applications are given in non-reflexive Banach spaces for these existence problems of solutions and for perturbation problems for these set-valued variational inequalities with quasi-monotone and quasi-semi-monotone operators.

Local fractional variational iteration and decomposition methods for wave equation on cantor sets within local fractional operators

We perform a comparison between the fractional iteration and decomposition methods applied to the wave equation on Cantor set. The operators are taken in the local sense. The results illustrate the significant features of the two methods which are both very effective and straightforward for solving the differential equations with local fractional derivative.

Local Fractional Variational Iteration Method for Local Fractional Poisson Equations in Two Independent Variables

The local fractional Poisson equations in two independent variables that appear in mathematical physics involving the local fractional derivatives are investigated in this paper. The approximate solutions with the nondifferentiable functions are obtained by using the local fractional variational iteration method.

Local Fractional Variational Iteration Method for Local Fractional Poisson Equations in Two Independent Variables

The local fractional Poisson equations in two independent variables that appear in mathematical physics involving the local fractional derivatives are investigated in this paper. The approximate solutions with the nondifferentiable functions are obtained by using the local fractional variational iteration method.

Surgical treatment of rectal prolapse: experience and late results with 51 patients

The "best" surgical technique for the management of complete rectal prolapse remains unknown. Due to its low incidence, it is very difficult to achieve a representative number of cases, and there are no large prospective randomized trials to attest to the superiority of one operation over another. PURPOSE: Analyze the results of surgical treatment of complete rectal prolapse during 1980 and 2002. METHOD: Retrospective study. RESULTS: Fifty-one patients underwent surgical treatment during this period. The mean age was 56.7 years, with 39 females. Besides the prolapse itself, 33 patients complained of mucous discharge, 31 of fecal incontinence, 14 of constipation, 17 of rectal bleeding, and 3 of urinary incontinence. Abdominal operations were performed in 36 (71%) cases. Presacral rectopexy was the most common abdominal procedure (29 cases) followed by presacral rectopexy associated with sigmoidectomy (5 cases). The most common perineal procedure was perineal rectosigmoidectomy associated with levatorplasty (12 cases). Intraoperative bleeding from the presacral space developed in 2 cases, and a rectovaginal fistula occurred in another patient after a perineal rectosigmoidectomy. There were 2 recurrences after a mean follow-up of 49 months, which were treated by reoperation. CONCLUSION: Abdominal and perineal procedures can be used to manage complete rectal prolapse with safety and good long-term results. Age, associated medical conditions, and symptoms of fecal incontinence or constipation are the main features that one should bear in mind in order to choose the best surgical approach.