Scale Invariance in a Perturbed Einstein-de Sitter Cosmology

This paper seeks to check the validity of the "apparent fractal conjecture" (Ribeiro 2001ab: gr-qc/9909093, astro-ph/0104181), which states that the observed power-law behaviour for the average density of large-scale distribution of galaxies arises when some observational quantities, selected by their relevance in average density profile determination, are calculated along the past light cone. Implementing these conditions in the proposed set of observational relations profoundly changes the behaviour of many observables in the standard cosmological models. In particular, the average density becomes observationally inhomogeneous, even in the spatially homogeneous spacetime of standard cosmology, change which was already analysed by Ribeiro (1992b, 1993, 1994, 1995: astro-ph/9910145) for a non-perturbed model. Here we derive observational relations in a perturbed Einstein-de Sitter cosmology by means of the perturbation scheme proposed by Abdalla and Mohayaee (1999: astro-ph/9810146), where the scale factor is expanded in power series to yield perturbative terms. The differential equations derived in this perturbative context, and other observables necessary in our analysis, are solved numerically. The results show that our perturbed Einstein-de Sitter cosmology can be approximately described by a decaying power-law like average density profile, meaning that the dust distribution of this cosmology has a scaling behaviour compatible with the power-law profile of the density-distance correlation observed in the galaxy catalogues. These results show that, in the context of this work, the apparent fractal conjecture is correct.Comment: 18 pages, 1 figure, LaTeX. Final version (small changes in the figure plus some references update). Fortran code included with the LaTeX source. To be published in "Fractals

Five-dimensional Monopole Equation with Hedge-Hog Ansatz and Abel's Differential Equation

We review the generalized monopole in the five-dimensional Euclidean space. A numerical solution with the Hedge-Hog ansatz is studied. The Bogomol'nyi equation becomes a second order autonomous non-linear differential equation. The equation can be translated into the Abel's differential equation of the second kind and is an algebraic differential equation.Comment: 4 pages, 4 figures, typos correcte

Successful IVF-ICSI with live baby in an azoospermic patient with cryopreserved sperms: Case report

Male factor is one of the most frequent cause of infertility and presents a variety of endocrine, genetic and immunological etiologies, as well as sexual malfunction, varicocele and genital infections. A case of a couple with primary infertilityfor two years is presented. Both partners were evaluated thoroughly, with a finding of male infertility. The man was found to be azoospermic after two semenalysis were performed. The Follicle Stimulating hormone (FSH) was raised with low testosterone levels indicating testicular failure. The recommended treatment was testicular biopsy with cryopreservation of the sperm and subsequent Intra cytoplasmic Sperm Injection (ICSI). This treatment option was undertaken with successful implantation and live baby delivery. The case study presents the diagnostic modalities and management of male infertility with azoospermia

Premature ovarian failure in twins: case report

Premature ovarian failure (POF)is a serious life-changing condition that affects young women, remains an enigma and the researchers’ challenge. POF, premature ovarian insufficiency (POI), premature menopause, premature dysfunction (POD), or hypergonadotropic hypogonadism is one of the most perplexing disorders with aheterogeneous origin. Infertility, social and psychological stress are common consequences of this entity. This paper presents a rare condition where both twins had presented with POF

Classical gravitational spin-spin interaction

I obtain an exact, axially symmetric, stationary solution of Einstein's equations for two massless spinning particles. The term representing the spin-spin interaction agrees with recently published approximate work. The spin-spin force appears to be proportional to the inverse fourth power of the coordinate distance between the particles.Comment: six pages, no figures, journal ref:accepted for Classical and Quantum Gravit

Internal Energy of the Potts model on the Triangular Lattice with Two- and Three-body Interactions

We calculate the internal energy of the Potts model on the triangular lattice with two- and three-body interactions at the transition point satisfying certain conditions for coupling constants. The method is a duality transformation. Therefore we have to make assumptions on uniqueness of the transition point and that the transition is of second order. These assumptions have been verified to hold by numerical simulations for q=2, 3 and 4, and our results for the internal energy are expected to be exact in these cases.Comment: 9 pages, 4 figure

Hard-wall Potential Function for Transport Properties of Alkali Metals Vapor

This study demonstrates that the transport properties of alkali metals are determined principally by the repulsive wall of the pair interaction potential function. The (hard-wall) Lennard-Jones(15-6) effective pair potential function is used to calculate transport collision integrals. Accordingly, reduced collision integrals of K, Rb, and Cs metal vapors are obtained from Chapman-Enskog solution of the Boltzman equation. The law of corresponding states based on the experimental-transport reduced collision integral is used to verify the validity of a LJ(15-6) hybrid potential in describing the transport properties. LJ(8.5-4) potential function and a simple thermodynamic argument with the input PVT data of liquid metals provide the required molecular potential parameters. Values of the predicted viscosity of monatomic alkali metals vapor are in agreement with typical experimental data with the average absolute deviation 2.97% for K in the range 700-1500 K, 1.69% for Rb, and 1.75% for Cs in the range 700-2000 K. In the same way, the values of predicted thermal conductivity are in agreement with experiment within 2.78%, 3.25%, and 3.63% for K, Rb, and Cs, respectively. The LJ(15-6) hybrid potential with a hard-wall repulsion character conclusively predicts best transport properties of the three alkali metals vapor.Comment: 21 pages, 5 figures, 41 reference

The effect of time of day on unscheduled caeserian sections on perinatal and maternal outcomes in Kenyatta National Hospital, Nairobi, Kenya

Objectives: To compare the 72 hour post delivery maternal and neonatal outcomes among patients undergoing unscheduled Caesarean section during the night and day.Design: Prospective cohort study.Setting: Kenyatta National Hospital (KNH), Nairobi, Kenya.Subjects: Two hundred and forty Post-natal mothers who had undergone unscheduled Caesarean section.Results: Between the months of February 26th and April 2nd 2015, a total of two hundred and forty patients undergoing unscheduled Caesarean sections at the KNH were recruited into the study including 120(50%) patients who had an operation performed during the night shift and 120(50%) during the day shift. Data were collected prospectively. There was no significant difference in the socio-demographic characteristics of patients according to shifts. Most procedures were conducted under regional anaesthesia with no significant differences between day and night surgeries. The leading indications for unscheduled CS during the day and night were: Non Reassuring Foetal Status (NRFS), obstructed Labour and elective CS converted to emergency CS in that order. Conversion of Elective Caesarean section to Emergency CS was significantly more common during the night compared to during daytime. Poor maternal and neonatal outcomes did not show a significant difference depending on time of surgery.Conclusion: The study showed that there was no significant difference in pregnancy outcomes between unscheduled Caesarean section done during the day compared to those done during the night