On the zeta function of a periodic-finite-type shift

Periodic-finite-type shifts (PFT's) are sofic shifts which forbid the appearance of finitely many pre-specified words in a periodic manner. The class of PFT's strictly includes the class of shifts of finite type (SFT's). The zeta function of a PET is a generating function for the number of periodic sequences in the shift. For a general sofic shift, there exists a formula, attributed to Manning and Bowen, which computes the zeta function of the shift from certain auxiliary graphs constructed from a presentation of the shift. In this paper, we derive an interesting alternative formula computable from certain ``word-based graphs'' constructed from the periodically-forbidden word description of the PET. The advantages of our formula over the Manning-Bowen formula are discussed.

Microwave, infrared-microwave double resonance, and theoretical studies of C2H4 center dot center dot center dot H2S complex

In this manuscript, rotational spectra of four new isotopologues of the S-H center dot center dot center dot pi bonded C2H4 center dot center dot center dot H2S complex, i.e., C2D4 center dot center dot center dot H2S, C2D4 center dot center dot center dot D2S, C2D4 center dot center dot center dot HDS, and (CCH4)-C-13 center dot center dot center dot H2S have been reported and analyzed. All isotopologues except C2D4 center dot center dot center dot HDS show a four line pattern whereas a doubling of the transition frequencies was observed for C2D4 center dot center dot center dot HDS. These results together with our previous report on the title complex M. Goswami, P. K. Mandal, D. J. Ramdass, and E. Arunan, Chem. Phys. Lett. 393(1-3), 22-27 (2004)] confirm that both subunits (C2H4 and H2S) are involved in large amplitude motions leading to a splitting of each rotational transition to a quartet. Further, the results also confirm that the motions which are responsible for the observed splittings involve both monomers. Molecular symmetry group analysis, considering the interchange of equivalent H atoms in H2S and C2H4 could explain the observed four line pattern and their intensities in the microwave spectrum. In addition, hydride stretching fundamentals of the complex were measured using coherence-converted population transfer Fourier Transform Microwave-infrared (IR-MW double resonance) experiments in the S-H and C-H stretch regions. Changes in the tunneling splittings upon vibrational excitation are consistent with the isotopic dependence of pure rotational transitions. A complexation shift of 2.7-6.5 cm(-1) has been observed in the two fundamental S-H stretching modes of the H2S monomer in the complex. Vibrational pre-dissociation in the bound S-H stretch has been detected whereas the instrument-limited line-shapes in other S-H and C-H stretches indicate slower pre-dissociation rate. Some local perturbations in the vibrational spectra have been observed. Two combination bands have been observed corresponding to both the S-H stretching fundamentals and what appears to be the intermolecular stretching mode at 55 cm(-1). The tunneling splitting involved in the rotation of C2H4 unit has been deduced to be 1.5 GHz from the IR-MW results. In addition, ab initio barrier heights derived for different motions of the monomers support the experimental results and provide further insight into the motions causing the splitting. (C) 2013 AIP Publishing LLC.

A fractional order proportional integral controller for path following and trajectory tracking of miniature air vehicles

In this paper, a fractional order proportional-integral controller is developed for a miniature air vehicle for rectilinear path following and trajectory tracking. The controller is implemented by constructing a vector field surrounding the path to be followed, which is then used to generate course commands for the miniature air vehicle. The fractional order proportional-integral controller is simulated using the fundamentals of fractional calculus, and the results for this controller are compared with those obtained for a proportional controller and a proportional integral controller. In order to analyze the performance of the controllers, four performance metrics, namely (maximum) overshoot, control effort, settling time and integral of the timed absolute error cost, have been selected. A comparison of the nominal as well as the robust performances of these controllers indicates that the fractional order proportional-integral controller exhibits the best performance in terms of ITAE while showing comparable performances in all other aspects.

What Drives Venture Capital Fundraising in India: An Empirical Analysis of Systematic and Non-Systematic Factors

In this paper, we develop a consolidated Supply-Demand framework of the Venture Capital (VC) ecosystem for India. Further, we empirically analyze the supply side of this ecosystem to ascertain the influence of systematic (macro) and non-systematic (micro) factors on VC fundraising. At the macro level, our results indicate that relatively strong fundamentals of the Indian economy in the past decade as compared with the severe recessionary tendencies in the developed economies have been critical in determining the aggregate volume of VC fundraising. Among the micro factors, past performance and reputation of the individual fund managers have been instrumental in determining their fund raising potential.

THE EFFECTS OF SURFACTANT ON SIMPLEX NOZZLE SPRAY BEHAVIOR AND ITS COMPARISON TO LIQUID FUELS

Pressure-swirl nozzles (simplex nozzles) are used in various field applications such as aero-engines, power generation, spray painting and agricultural irrigation. For this particular nozzle, research in the past decade has dealt with the development of numerical models for predicting droplet distribution profiles. Although these results have been valuable, the experimental results have been contradictory, therefore fundamental understanding of the influence of properties in nozzle is important. This paper experimentally investigates the effect of surfactants on breakup and coalescence. Since most of the fuels and biofuels have low surface tension compared to water, a comparative analysis between a surfactant solution and a liquid fuel is imperative. For this experimental study, a simplex nozzle characterized as flow number 0.4 will be utilized. The injection pressures will range from 0.3 - 4Mpa while altering the surface tension from 72 to 28mN/m. By applying Phase Doppler Particle Anemometry (PDPA) which is a non-intrusive laser diagnostic technique, the differences in spray characteristics due to spray surface tension can be highlighted. The average droplet diameter decreases for a low surface tension fluid in the axial direction in comparison to pure water. The average velocity of droplets is surprisingly lower in the same spray zone. Measurements made in the radial direction show no significant changes, but at the locations close to the nozzle, water droplets have larger diameter and velocity. The results indicate the breakup and coalescence regimes have been altered when surface tension is lowered. A decrease in surface tension alters the breakup length while increasing the spray angle. Moreover, higher injection pressure shortens the breakup length and decrease in overall diameter of the droplets. By performing this experimental study the fundamentals of spray dynamics, such as spray formation, liquid breakup length, and droplet breakup regimes can be observed as a function of surface tension and how a surrogate fuel compares with a real fuel for experimental purposes. This knowledge potentially will lead to designing a better atomizer or new biofuels.

Variations in the cyclotron resonant scattering features during 2011 outburst of 4U 0115+63

We study the variations in the Cyclotron Resonant Scattering Feature (CRSF) during 2011 outburst of the high mass X-ray binary 4U 0115+63 using observations performed with Suzaku, RXTE, Swift and INTEGRAL satellites. The wide-band spectral data with low-energy coverage allowed us to characterize the broad-band continuum and detect the CRSFs. We find that the broad-band continuum is adequately described by a combination of a low temperature (kT similar to 0.8 keV) blackbody and a power law with high energy cutoff (E-cut similar to 5.4 keV) without the need for a broad Gaussian at similar to 10 keV as used in some earlier studies. Though winds from the companion can affect the emission from the neutron star at low energies (<3 keV), the blackbody component shows a significant presence in our continuum model. We report evidence for the possible presence of two independent sets of CRSFs with fundamentals at similar to 11 and similar to 15 keV. These two sets of CRSFs could arise from spatially distinct emitting regions. We also find evidence for variations in the line equivalent widths, with the 11 keV CRSF weakening and the 15 keV line strengthening with decreasing luminosity. Finally, we propose that the reason for the earlier observed anticorrelation of line energy with luminosity could be due to modelling of these two independent line sets (similar to 11 and similar to 15 keV) as a single CRSF.

Electrolithography- A New and Versatile Process for Nano Patterning

We report a new lithography technique based on electromigration driven material transport for drawing patterns at nanometer scales in ambient conditions. We use a thin metal film as a masking layer and a polymer layer beneath it as a pattern transfer layer. The desired pattern is drawn in the metal layer by etching the metal with a conducting scanning probe assisted by liquid electromigration. The pattern drawn on the metal layer is transferred to the polymer layer by etching the polymer with an appropriate solvent. Subsequently, the pattern is transferred to the desired material layer using a film deposition technique followed by conventional lift-off process. Using this simple technique, we have achieved pattern resolutions of 9 nm on the polymer and 40 nm on transferring the pattern to another material. Based on the ease of use and process costs, this technique promises to be competitive to e-beam lithography that employs high energy and ultra-high vacuum, or the industrial standard ultra-violet light photolithography that employs extremely expensive implements to reach nano-scale resolutions. We also demonstrate direct mask writing using this technique and explain the fundamentals behind the workings of the developed method.

A New Deformation Theory with Strain Gradient Effects

A new phenomenological deformation theory with strain gradient effects is proposed. This theory, which belongs to nonlinear elasticity, fits within the framework of general couple stress theory and involves a single material length scale l. In the present theory three rotational degrees of freedom omega(i) are introduced in addition to the conventional three translational degrees of freedom u(i). omega(i) has no direct dependence upon ui and is called the micro-rotation, i.e. the material rotation theta(i) plus the particle relative rotation. The strain energy density is assumed to only be a function of the strain tensor and the overall curvature tensor, which results in symmetric Cauchy stresses. Minimum potential principle is developed for the strain gradient deformation theory version. In the limit of vanishing 1, it reduces to the conventional counterparts: J(2) deformation theory. Equilibrium equations, constitutive relations and boundary conditions are given in details. Comparisons between the present theory and the theory proposed by Shizawa and Zbib (Shizawa, K., Zbib, H.M., 1999. A thermodynamical theory gradient elastoplasticity with dislocation density Censor: fundamentals. Int. J. Plast. 15, 899) are given. With the same hardening law as Fleck et al. (Fleck, N.A., Muller, G.H., Ashby, M.F., Hutchinson, JW., 1994 Strain gradient plasticity: theory and experiment. Acta Metall. Mater 42, 475), the new strain gradient deformation theory is used to investigate two typical examples, i.e. thin metallic wire torsion and ultra-thin metallic beam bend. The results are compared with those given by Fleck et al, 1994 and Stolken and Evans (Stolken, J.S., Evans, A.G., 1998. A microbend test method for measuring the plasticity length scale. Acta Mater. 46, 5109). In addition, it is explained for a unit cell that the overall curvature tensor produced by the overall rotation vector is the work conjugate of the overall couple stress tensor. (C) 2002 Elsevier Science Ltd. All rights reserved.

Los universitarios y sus concepciones políticas a la luz del neotomismo argentino al filo de los siglos XIX y XX

Resumen: Los avances del liberalismo conmovieron, en buena medida, a la filosofía cristiana. Efectivamente él consagró el valor de la libertad como aspiración máxima y, en su nombre, se intentó sacudir el yugo de la autoridad y la Iglesia no quedó al margen, por lo que los católicos se replantearon muchas de sus posiciones, a fin de poder brindar las respuestas sociales que la sociedad estaba reclamando. Fue así que apareció la tercera escolástica, concebida como un movimiento de renovación contra el liberalismo que lo había invadido todo. Los propulsores de esta corriente decidieron restaurar en las escuelas y universidades la filosofía de Santo Tomás. La Argentina sufrió también las embestidas del liberalismo, lo que impulsó a los católicos a prepararse para plasmar soluciones en las más diversas áreas, con la idea de fondo de imponer el catolicismo como el principio organizador del medio social, argumentando que esa había sido la tendencia histórica en el país. Así fue como la tercera renovación escolástica, o neotomismo, penetró en la Argentina a fines del siglo XIX y en el XX, y se impuso tanto entre los seminaristas como en la Universidad de Córdoba y particularmente en su Facultad de Derecho y Ciencias Sociales. Durante los últimos años del otoño decimonónico la neoescolástica estuvo presente en muchas de las tesis presentadas en la Facultad de Derecho, siguiendo, en este aspecto, una tradición de la universidad cordobesa, la que predominaba también entre ciertos profesores. En este trabajo rastreamos los fundamentos del poder político que se encuentran en esos trabajos, refiriéndonos, por un lado, a la visión del grupo sobre el orden, a la igualdad y el progreso y, por otro, a los derechos del hombre.

Los fundamentos teóricos de la ley natural

Resumen: El comentario sobre los fundamentos teóricos trata de la distinción entre un acceso práctico a la ley natural mediante la captación evidente e inmediata de los primeros principios (referidos a los valores fundamentales) por la razón en su función práctica (razón práctica), y la fundamentación teórica y metafísica del contenido de la ley natural con sus primeros principios, realizado ulteriormente por la razón en su función teórica (razón teórica o especulativa). Se aborda de esta manera la patencia de esos valores fundamentales como punto de partida o primera ratio del proceso que realiza la razón práctica y su justificación racional en el plano metafísico como última ratio que realiza la razón teórica o especulativa.

Hacia un canon poético místico en clave estético teológica : vigencia de la figura del centro como expectación del Otro

Resumen: Desde el marco epistemológico de la interdisciplinariedad entre literatura, estética y teología el artículo propone pensar la estética teológica en una circularidad relacional, desde la clave mística de la nupcialidad como la morada actual de la expectación del Tú. Para demostrar esta hipótesis el artículo se divide en dos partes: en la primera, desarrolla los fundamentos teóricos de la nupcialidad como centro del dinamismo de una estética teológica situada en el contexto posmoderno de la expectación del otro; en la segunda, se muestra la aplicabilidad poética de la figura canónica del centro desde las figuras derivadas de expectación, morada y nupcialidad.

Una teología samaritana : el estilo teológico de Jon Sobrino

El presente artículo se propone presentar las notas fundamentales de la teología de Jon Sobrino. Su particularidad radica en el abordaje en términos de estilo. El autor considera que el teologizar del sacerdote jesuita ha cobrado una identidad original y creadora que permite categorizarlo como estilo. Una de las tesis fuertes del artículo es la definición del teologizar de Sobrino en tanto “estilo” teológico. Luego de una fundamentación del enfoque estilístico que abreva fundamentalmente en H. U. von Balthasar y Ch. Theobald, se despliega la identidad de este estilo teológico en sus características. La otra tesis fuerte es que la realidad del sufrimiento histórico en América Latina configura centralmente el estilo teológico de Jon Sobrino, donde logos y pathos convergen en un movimiento único que cualifican su teología como teología samaritana o teología sentiente (X. Zubiri).