This article proposes two conformal Solow models (with and without migration), accompanied by sim... more This article proposes two conformal Solow models (with and without migration), accompanied by simulations for six Organisation for Economic Co-operation and Development economies. The models are proposed by employing suitable Inada conditions on the Cobb–Douglas function and making use of the truncated M-derivative for the Mittag–Leffler function. In the exact solutions derived in this manuscript, two new parameters play an important role in the convergence towards, or the divergence from, the steady state of capital and per capita product. The economical dynamics of these nations are influenced by the intensity of the capital and labor factors, as well as the level of depreciation, the labor force rate and the level of saving.
Resumen-Se muestran ejercicios específicos que han resultado eficaces en hacer que el estudiante ... more Resumen-Se muestran ejercicios específicos que han resultado eficaces en hacer que el estudiante universitario logre la comprensión de temas tradicionalmente difíciles para ellos, con la comprensible preocupación de los docentes. En este enfoque, se presentan al estudiante diferentes ejemplos de la vida cotidiana que lo hacen capaz de escribir por sí mismo conclusiones relativas a conjuntos de datos. En particular, se tratan los temas de dispersión, promedio de promedios, muestreo, la relación entre el análisis combinatorio y los cálculos de probabilidad y el teorema de Bayes.
En el Septimo Foro de Ensenanza de las Matematica Ibero 2017 se abordaron temas relacionados con ... more En el Septimo Foro de Ensenanza de las Matematica Ibero 2017 se abordaron temas relacionados con el uso de la historia de las matematicas en el aula, las transformaciones en las habilidades, destrezas y conocimientos en los alumnos universitarios en la primera decada del 2000, el uso de plataformas digitales en la ensenanza de las matematicas; se expuso sobre situaciones problema en la vida cotidiana relacionados con las matematicas escolares y la modelacion matematica, sobre la historia de la ensenanza de las matermaticas, entre otros temas.
Green RP-HPLC method for a rapid analysis of olmesartan medoxomil (OLM) in bulk drugs, self-micro... more Green RP-HPLC method for a rapid analysis of olmesartan medoxomil (OLM) in bulk drugs, self-microemulsifying drug delivery system (SMEDDS) and marketed tablets was developed and validated in the present investigation. The chromatographic identification was achieved on Lichrosphere 250 • 4.0 mm RP C 8 column having a 5 lm packing as a stationary phase using a combination of green solvents ethyl acetate:ethanol (50:50% v/v) as a mobile phase, at a flow rate of 1.0 mL/min with UV detection at 250 nm. The proposed method was validated for linearity, selectivity, accuracy, precision, reproducibility, robustness, sensitivity and specificity. The utility of the proposed method was verified by an assay of OLM in SMEDDS and commercial tablets. The proposed method was found to be selective, precise, reproducible, accurate, robust, sensitive and specific. The amount of OLM in SMEDDS and commercial tablets was found to be 101.25% and 98.67% respectively. The proposed method successfully resolved OLM peak in the presence of its degradation products which indicated stability-indicating property of the proposed method. These results indicated that the proposed method can be successfully employed for a routine analysis of OLM in bulk drugs and commercial formulations.
Transport properties in gases are significantly affected by temperature. In previous works it has... more Transport properties in gases are significantly affected by temperature. In previous works it has been shown that when the thermal agitation in a gas is sufficient for relativistic effects to become relevant, heat dissipation is driven not solely by a temperature gradient but also by other vector forces. In the case of relativistic charged fluids, a heat flux is driven by an electrostatic field
cada uno de las universidades podrá tramitar los registros de sus programas frente a la Secretarí... more cada uno de las universidades podrá tramitar los registros de sus programas frente a la Secretaría de Educación Pública y/o los organismos que considere pertinentes.
Extended theories are widely used in the literature to describe relativistic fluids. The motivati... more Extended theories are widely used in the literature to describe relativistic fluids. The motivation for this is mostly due to the causality issues allegedly present in the first order in the gradients theories. However, the decay of fluctuations in the system is also at stake when first order theories that couple heat with acceleration are used. This paper shows that although the introduction of the Maxwell–Cattaneo equation in the description of a simple relativistic fluid formally eliminates the generic instabilities identified by Hiscock and Lindblom (Phys Rev D 31:725–733, 1985), the hypothesis on the order of magnitude of the corresponding relaxation term contradicts the basic ordering in Knudsen’s parameter present in the kinetic approach to hydrodynamics. It is shown that the time derivative, stabilizing term is of second order in such parameter and thus does not belong to the Navier–Stokes regime where the so-called instability arises.
Extended theories are widely used in the literature to describe the relativistic fluid. The motiv... more Extended theories are widely used in the literature to describe the relativistic fluid. The motivation for this is mostly due to the causality issues allegedly present in the first order theories. However, the decay of fluctuations in the system is also at stake when first order theories \emph{that couple heat with acceleration} are used. In this paper it is shown
It is well known that, in the absence of external forces, simple non-relativistic fluids involve ... more It is well known that, in the absence of external forces, simple non-relativistic fluids involve entropy production only through heat conduction and shear viscosity [1]. In this work, it is shown that a number density gradient contributes to the local entropy production of a simple relativistic fluid using special relativistic kinetic theory. Also, the presence of an external field may cause strictly relativistic contributions to the entropy production, a fact not widely recognized. The implications of these effects are thoroughly discussed.
Richard C. Tolman analyzed the relation between a temperature gradient and a gravitational field ... more Richard C. Tolman analyzed the relation between a temperature gradient and a gravitational field in an equilibrium situation. In 2012, Tolman's law was generalized to a non-equilibrium situation for a simple dilute relativistic fluid. The result in that scenario, obtained by introducing the gravitational force through the molecular acceleration, couples the heat flux with the metric coefficients and the gradients of the state variables. In the present paper it is shown, by explicitly describing the single particle orbits as geodesics in Boltzmann's equation, that a gravitational field drives a heat flux in this type of system. The calculation is devoted solely to the gravitational field contribution to this heat flux in which a Newtonian limit to the Schwarzschild metric is assumed. The corresponding transport coefficient, which is obtained within a relaxation approximation, corresponds to the dilute fluid in a weak gravitational field. The effect is negligible in the non-relativistic regime, as evidenced by the direct evaluation of the corresponding limit.
ABSTRACT Entropy production due to heat flux in a simple relativistic fluid in the presence of a ... more ABSTRACT Entropy production due to heat flux in a simple relativistic fluid in the presence of a weak gravitational field is calculated from the special relativistic kinetic theory point of view. Beginning with the Boltzmann equation and using Chapman-Enskog's hypothesis we show that, additional to the temperature gradient and the relativistic contribution from the number density gradient, the gravitational field also acts as a source. This is a strictly special relativistic effect, here obtained by considering a Newtonian gravity field. The relation of this effect with Tolman's law is briefly discussed.
This article proposes two conformal Solow models (with and without migration), accompanied by sim... more This article proposes two conformal Solow models (with and without migration), accompanied by simulations for six Organisation for Economic Co-operation and Development economies. The models are proposed by employing suitable Inada conditions on the Cobb–Douglas function and making use of the truncated M-derivative for the Mittag–Leffler function. In the exact solutions derived in this manuscript, two new parameters play an important role in the convergence towards, or the divergence from, the steady state of capital and per capita product. The economical dynamics of these nations are influenced by the intensity of the capital and labor factors, as well as the level of depreciation, the labor force rate and the level of saving.
Resumen-Se muestran ejercicios específicos que han resultado eficaces en hacer que el estudiante ... more Resumen-Se muestran ejercicios específicos que han resultado eficaces en hacer que el estudiante universitario logre la comprensión de temas tradicionalmente difíciles para ellos, con la comprensible preocupación de los docentes. En este enfoque, se presentan al estudiante diferentes ejemplos de la vida cotidiana que lo hacen capaz de escribir por sí mismo conclusiones relativas a conjuntos de datos. En particular, se tratan los temas de dispersión, promedio de promedios, muestreo, la relación entre el análisis combinatorio y los cálculos de probabilidad y el teorema de Bayes.
En el Septimo Foro de Ensenanza de las Matematica Ibero 2017 se abordaron temas relacionados con ... more En el Septimo Foro de Ensenanza de las Matematica Ibero 2017 se abordaron temas relacionados con el uso de la historia de las matematicas en el aula, las transformaciones en las habilidades, destrezas y conocimientos en los alumnos universitarios en la primera decada del 2000, el uso de plataformas digitales en la ensenanza de las matematicas; se expuso sobre situaciones problema en la vida cotidiana relacionados con las matematicas escolares y la modelacion matematica, sobre la historia de la ensenanza de las matermaticas, entre otros temas.
Green RP-HPLC method for a rapid analysis of olmesartan medoxomil (OLM) in bulk drugs, self-micro... more Green RP-HPLC method for a rapid analysis of olmesartan medoxomil (OLM) in bulk drugs, self-microemulsifying drug delivery system (SMEDDS) and marketed tablets was developed and validated in the present investigation. The chromatographic identification was achieved on Lichrosphere 250 • 4.0 mm RP C 8 column having a 5 lm packing as a stationary phase using a combination of green solvents ethyl acetate:ethanol (50:50% v/v) as a mobile phase, at a flow rate of 1.0 mL/min with UV detection at 250 nm. The proposed method was validated for linearity, selectivity, accuracy, precision, reproducibility, robustness, sensitivity and specificity. The utility of the proposed method was verified by an assay of OLM in SMEDDS and commercial tablets. The proposed method was found to be selective, precise, reproducible, accurate, robust, sensitive and specific. The amount of OLM in SMEDDS and commercial tablets was found to be 101.25% and 98.67% respectively. The proposed method successfully resolved OLM peak in the presence of its degradation products which indicated stability-indicating property of the proposed method. These results indicated that the proposed method can be successfully employed for a routine analysis of OLM in bulk drugs and commercial formulations.
Transport properties in gases are significantly affected by temperature. In previous works it has... more Transport properties in gases are significantly affected by temperature. In previous works it has been shown that when the thermal agitation in a gas is sufficient for relativistic effects to become relevant, heat dissipation is driven not solely by a temperature gradient but also by other vector forces. In the case of relativistic charged fluids, a heat flux is driven by an electrostatic field
cada uno de las universidades podrá tramitar los registros de sus programas frente a la Secretarí... more cada uno de las universidades podrá tramitar los registros de sus programas frente a la Secretaría de Educación Pública y/o los organismos que considere pertinentes.
Extended theories are widely used in the literature to describe relativistic fluids. The motivati... more Extended theories are widely used in the literature to describe relativistic fluids. The motivation for this is mostly due to the causality issues allegedly present in the first order in the gradients theories. However, the decay of fluctuations in the system is also at stake when first order theories that couple heat with acceleration are used. This paper shows that although the introduction of the Maxwell–Cattaneo equation in the description of a simple relativistic fluid formally eliminates the generic instabilities identified by Hiscock and Lindblom (Phys Rev D 31:725–733, 1985), the hypothesis on the order of magnitude of the corresponding relaxation term contradicts the basic ordering in Knudsen’s parameter present in the kinetic approach to hydrodynamics. It is shown that the time derivative, stabilizing term is of second order in such parameter and thus does not belong to the Navier–Stokes regime where the so-called instability arises.
Extended theories are widely used in the literature to describe the relativistic fluid. The motiv... more Extended theories are widely used in the literature to describe the relativistic fluid. The motivation for this is mostly due to the causality issues allegedly present in the first order theories. However, the decay of fluctuations in the system is also at stake when first order theories \emph{that couple heat with acceleration} are used. In this paper it is shown
It is well known that, in the absence of external forces, simple non-relativistic fluids involve ... more It is well known that, in the absence of external forces, simple non-relativistic fluids involve entropy production only through heat conduction and shear viscosity [1]. In this work, it is shown that a number density gradient contributes to the local entropy production of a simple relativistic fluid using special relativistic kinetic theory. Also, the presence of an external field may cause strictly relativistic contributions to the entropy production, a fact not widely recognized. The implications of these effects are thoroughly discussed.
Richard C. Tolman analyzed the relation between a temperature gradient and a gravitational field ... more Richard C. Tolman analyzed the relation between a temperature gradient and a gravitational field in an equilibrium situation. In 2012, Tolman's law was generalized to a non-equilibrium situation for a simple dilute relativistic fluid. The result in that scenario, obtained by introducing the gravitational force through the molecular acceleration, couples the heat flux with the metric coefficients and the gradients of the state variables. In the present paper it is shown, by explicitly describing the single particle orbits as geodesics in Boltzmann's equation, that a gravitational field drives a heat flux in this type of system. The calculation is devoted solely to the gravitational field contribution to this heat flux in which a Newtonian limit to the Schwarzschild metric is assumed. The corresponding transport coefficient, which is obtained within a relaxation approximation, corresponds to the dilute fluid in a weak gravitational field. The effect is negligible in the non-relativistic regime, as evidenced by the direct evaluation of the corresponding limit.
ABSTRACT Entropy production due to heat flux in a simple relativistic fluid in the presence of a ... more ABSTRACT Entropy production due to heat flux in a simple relativistic fluid in the presence of a weak gravitational field is calculated from the special relativistic kinetic theory point of view. Beginning with the Boltzmann equation and using Chapman-Enskog's hypothesis we show that, additional to the temperature gradient and the relativistic contribution from the number density gradient, the gravitational field also acts as a source. This is a strictly special relativistic effect, here obtained by considering a Newtonian gravity field. The relation of this effect with Tolman's law is briefly discussed.
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