Teaching and Learning Mathematics Using Facebook Group: NA

Almost every organization makes use of a Facebook group. They utilized it to debate themes and other problems concerning their own survival. Numerous mathematics instructors have already embraced its usefulness as a method of providing instructional materials to their pupils in the modern day. With these factors in mind, this research study on the use of Facebook groups in the teaching-learning process of mathematics was performed with the pioneer batch of ABM students at the University of San Carlos – Senior High School in Cebu City, Philippines. Through this amazing and updated communication medium, the kids learnt a new lesson. The statistical study revealed that the use of Facebook groups in the teaching-learning process of mathematics is beneficial. This is shown by the statistical equality of the experimental and control groups' post-test results. This demonstrates that the performance of students in the experimental and control groups is comparable. This is because the experimental groups did not participate in classroom discussions yet fared as well as the controls groups who did. Additional pertinent results from the research are provided in this article

Oxygen flux through unmodified and modified La0.6Sr0.4Co0.2Fe0.8O3-8 hollow fibre membranes and application to methane oxidation

PhD ThesisImproved catalytic routes could help to transform the exploitation of the large worldwide natural gas reserves, whose principal component is methane. They transform methane into more valuable chemicals and fuels through carbon dioxide reforming of methane (CDRM), steam reforming of methane (SRM) and partial oxidation of methane (POM). These reactions facilitate the formation of syngas, which is subsequently converted to fuels through the Fischer-Tröpsch synthesis. Mixed Ionic and Electronic Conducting (MIEC) membrane reactors are of interest because they have the potential to produce high purity oxygen from air at lower costs and provide a continuous oxygen supply to reactions or/and industrial processes, and hence avoid sourcing the pure oxygen from air by conventional cryogenic separation technology. In addition, the MIEC ceramic membrane shows the ability to carry out simultaneous oxygen permeation and hydrocarbons oxidation into single compact ceramic membrane reactor at high temperature. This can reduce the capital investment for gas-to-liquid (GTL) plants and for distributing hydrogen. This study compares the oxygen release and oxygen uptake obtained through a LaSrCoFeO hollow fibre membrane (referred as LSCF6428-HFM) under an 0.60.40.20.83-δ Air/He gradient at 850°C and 900°C. The separation and quantification of these two processes permitted the determination of the oxygen incorporated into LSCF6428 structure and the development of a model for apparent overall rate constant using the molar flow of the oxygen at the inlet and outlet in different side of membrane (i.e. shell side and lumen side). The results show that the oxygen flux is enhanced by rising helium flow rates, this is due to an increased driving force for oxygen migration across the membrane and also the air flow determines the oxygen amount that permeates across the membrane. In addition, the oxygen flux improves at higher temperatures, due to its dependence on bulk oxygen diffusion and the oxygen surface reaction rates. The temperature increase improves the mobility of the lattice oxygen vacancies and also the concentration of lattice oxygen vacancies in the perovskite. The impact of surface modification was also studied by coating CoO and 5%Ni-LSCF6428 34 catalysts on the shell side surface of the LSCF6428 hollow fibre membrane for oxygen permeation. It was found that the oxygen flux significantly improved under Air/He gradient for catalyst-coated LSCF6428-HFM. However, under continuous operation conditions over a long time both the unmodified and the modified perovskite LSCF6428-HFM reactors suffered segregation of metal oxides or redistribution of metal composition at the surface membrane, although the bulk LSCF6428 membrane stoichiometry did not change. The apparent overall rate constants for oxygen permeation of the CoO/LSCF6428-HFM and 34 5%Ni/LSCF6428-HFM were enhanced 3-4 fold compared to unmodified LSCF6428-HFM. Comparison of both modified HFM reactors revealed that the apparent overall rate constants for CoO/LSCF6428-HFM were 2 fold higher than those obtained for 5%Ni- 34 LSCF6428/HFM. According to the distribution of total oxygen permeation residence for unmodified and modified LSCF6428-HFM reactor, the oxygen permeation rate is limited by surface exchange on the oxygen lean side or lumen side (R) at 850°C and 900°C and the ex contribution of bulk diffusion on the oxygen permeation rate increased with a rise in the temperature (900°C). The methane oxidation reaction was studied in unmodified and modified 5%Ni- LSCF6428/LSCF6428 hollow fibre membrane in reactors at 850°C. The results suggest that catalytic pathways in methane oxidation depended upon flow operation modes, oxygen concentration, Htreatment and on the type of catalyst. The performances in methane conversion of LSCF6428-HFM and 5%Ni/LSCF6428-HFM modules facilitated the formation of SrCO3 because of the reaction of CO2 with segregated strontium oxide.University of Newcastle upon Tyne (EPSRC

Characteristic Length Scale and Dynamics of χ3/2\chi^{3/2}-MOND Cosmology

This work studies the cosmology of $\chi^{3/2}$-MOND gravity by Bernal et. al. (2011). This theory is a modification to Einstein's General Relativity (GR) that uses a dimensionless curvature scalar $\chi$ by rescaling the Ricci scalar $R$ by some characteristic length scale $L_M$, as well as a set of modified field equations that follows from a $3/2$-power Lagrangian. The characteristic length scale is assumed to be built from the universal constants of the theory and the parameters of the system in question. In the weak field limit, this theory recovers Milgrom's (1983) Modified Newtonian Dynamics (MOND). MOND is a proposal that corrects Newtonian gravitational laws below an acceleration threshold $a_0\approx1.2\times{10}^{-10}m/s^2$ to explain the anomalous flattening of galactic rotation curves without imposing any dark matter components. In the cosmological case, this work asserts that the characteristic length scale is of the order $c^2/a_0$. This specific value is motivated in two ways: (1) it is shown that this scale defines a convergence of GR and MOND at some critical mass (with this as the corresponding length); (2) this length scale is shown to be an extremal value of $L_M$ independent of the mass parameter. The established length scale is then used in the case of cosmology; the FLRW metric is plugged in into the modified field equations and the two modified Friedmann equations are derived incorporating the MOND effects by a manifest appearance of the constant $a_0$.Comment: 6 pages, presented at De La Salle University - Manila Research Congress 2023 Parallel Sessions on July 7, 2023 (proceedings: https://www.dlsu.edu.ph/dlsu-conference-series/

Granitoides del Centro Oeste de la Provincia de Salamanca. Clasificación y correlación

[Resumen] En las rocas graníticas de la zona centro-oeste de la provincia de Salamanca, pueden establecerse tres grupos. Los dos primeros formados por leucogranitos y granitos de dos micas de tendencia alcalina, y el tercero por granitos de tendencia calcoalcalina que evolucionan hacia términos alcalinos convergentes con los anteriores. La descripción de estos granitoides así como su correlación con las clasificaciones existentes de dominios regionales, son el objeto del presente trabajo

Weak deflection angle of a dirty black hole

In this paper, we present the weak deflection angle in a Schwarzschild black hole of mass $m$ surrounded by the dark matter of mass $M$ and thickness $\Delta r_{s}$. The Gauss-Bonnet theorem, formulated for asymptotic spacetimes, is found to be ill-behaved in the third-order of $1/\Delta r_{s}$ for very large $\Delta r_{s}$. Using the finite-distance for the radial locations of the source and the receiver, we derived the expression for the weak deflection angle up to the third-order of $1/\Delta r_{s}$ using Ishihara (\textit{et al.}) method. The result showed that the required dark matter thickness is $\sim2\sqrt{3mM}$ for the deviations in the weak deflection angle to occur. Such thickness requirement is better by a factor of 2 as compared to the deviations in the shadow radius ($\sim\sqrt{3mM}$). It implies that the use of the weak deflection angle in detecting dark matter effects in one's galaxy is better than using any deviations in the shadow radius.Comment: 6 pages, 1 figure; expressions in section 4 simplified thoroughly; accepted for publication in Chinese Journal of Physic

El continuo cardiorrenal: una propuesta para la prevención de las enfermedades cardiovasculares y renales

Cardiovascular risk factors such as arterial hypertension, type 2 diabetes mellitus (DM2) and dyslipidemia are commonly involved with chronic kidney disease (CKD) and its contribution to long-term cardiovascular morbidity. Diffuse endothelial dysfunction and atherosclerosis are believed to be part of the common pathophysiology in diabetic and non-diabetic CKD, particularly in the elderly. Age is the main determinant of glomerular filtration rate (GFR) and effective renal plasma flow and has been reported that the presence of hypertension at baseline enhances the yearly decline in creatinine clearance. Dyslipidemia may directly affect the kidney by causing deleterious renal lipid disturbances (renal lipotoxicity), as well as indirectly through systemic inflammation and oxidative stress, vascular injury, hormones change and other signaling molecules with renal action. Several cross-sectional studies found that impaired glucose tolerance, as well as the presence of left ventricular hypertrophy, was associated with an increase in the slope of the inverse relationship between age and GFR in subjects with never-treated essential hypertension. Most of the drugs used to reduce the burden of risk factor on cardiovascular disease also benefit the renal function. So, we propose the cardiorenal continuum as a preventive strategy to protect both organ and reduce the deleterious impact of the cardiovascular risk factor on the renal function considering both organs as a functional and physiopathological binomial.Los factores de riesgo cardiovascular (FRCV) como hipertensión arterial (HTA), diabetes mellitus tipo 2 (DM2) y dislipidemia suelen estar involucrados con la enfermedad renal crónica (ERC) y su contribución a la morbilidad cardiovascular. La disfunción endotelial difusa y la aterosclerosis están conceptualizadas como parte de la fisiopatología de la ERC en diabéticos y no diabéticos, particularmente en ancianos. La edad es el principal determinante de la tasa de filtración glomerular (TFG) y flujo plasmático renal efectivo y se ha reportado que la presencia de HTA favorece la declinación en la depuración de creatinina. La dislipidemia puede afectar directamente el riñón causando trastorno renal lipídico (lipotoxicidad renal) e indirectamente a través de la inflamación sistémica y estrés oxidativo, agresión vascular y cambios humorales y de otras moléculas de señalización con acción renal. Varios estudios transversales han encontrado que el deterioro a la tolerancia glucosada y la presencia de hipertrofia ventricular izquierda están asociados con un aumento en la pendiente de la relación inversa entre edad y TFG en sujetos con HTA no tratada. La mayoría de las drogas empleadas para reducir la carga de los FRCV también son beneficiosas para la función renal. De tal forma que se propone al continuo cardiorrenal como una estrategia preventiva para proteger ambos órganos y reducir el impacto deletéreo de los FRCV sobre la función renal partiendo del punto de vista de un binomio funcional y fisiopatológico

One-loop effective multi-gluon Lagrangian in arbitrary dimensions

We exhibit the one-loop multi-gluon effective Lagrangian in any dimension for a field theory with a quasilocal background, using the background-field formalism. Specific results, including counter terms (up to 12 spacetime dimensions), have been derived, applied to the Yang-Mills theory and found to be in agreement with other string-inspired approaches.Comment: 16 pages, LaTe