Novel geodesic splitting on paraboloid of revolution with applications to ray-theoretic analysis

Computer simulations have shown a novel geodesic splitting on the paraboloid of revolution leading to a multiplicity of surface ray paths. Such a phenomenon would have wide ramifications for wave propagation problems in general, besides applications in target-detection problems and the computational requirements of ray-theoretic formulations such as the UTD, in computing the antenna characteristics in the high-frequency domain.

SARAS: a precision system for measurement of the cosmic radio background and signatures from the epoch of reionization

SARAS is a correlation spectrometer purpose designed for precision measurements of the cosmic radio background and faint features in the sky spectrum at long wavelengths that arise from redshifted 21-cm from gas in the reionization epoch. SARAS operates in the octave band 87.5-175 MHz. We present herein the system design arguing for a complex correlation spectrometer concept. The SARAS design concept provides a differential measurement between the antenna temperature and that of an internal reference termination, with measurements in switched system states allowing for cancellation of additive contaminants from a large part of the signal flow path including the digital spectrometer. A switched noise injection scheme provides absolute spectral calibration. Additionally, we argue for an electrically small frequency-independent antenna over an absorber ground. Various critical design features that aid in avoidance of systematics and in providing calibration products for the parametrization of other unavoidable systematics are described and the rationale discussed. The signal flow and processing is analyzed and the response to noise temperatures of the antenna, reference termination and amplifiers is computed. Multi-path propagation arising from internal reflections are considered in the analysis, which includes a harmonic series of internal reflections. We opine that the SARAS design concept is advantageous for precision measurement of the absolute cosmic radio background spectrum; therefore, the design features and analysis methods presented here are expected to serve as a basis for implementations tailored to measurements of a multiplicity of features in the background sky at long wavelengths, which may arise from events in the dark ages and subsequent reionization era.

RES-TOCSY: a simple approach to resolve overlapped H-1 NMR spectra of enantiomers

Chiral auxiliaries are used for the NMR spectroscopic study of enantiomers. Often the presence of impurities, overlap of peaks, line broadening and the multiplicity pattern restrict the chiral analysis in the 1D H-1 NMR spectrum. The present study introduces a simple 2D H-1 NMR experiment to unravel the overlapped spectrum. The experiment separates the spectra of enantiomers, thereby allowing the unambiguous assignment of all the coupled peaks and the measurement of enantiomeric excess (ee) from a single experiment even in combinatorial mixtures.

Recent NMR Methodological Developments for Chiral Analysis in Isotropic Solutions

Chiral auxiliaries are used for NMR spectroscopic study of enantiomers. Often the presence of impurities, severe overlap of peaks, excessive line broadening and complex multiplicity pattern restricts the chiral analysis using 1D H-1 NMR spectrum. There are few approaches to resolve the overlapped peaks. One approach is to use suitable chiral auxiliary, which induces large chemical shift difference between the discriminated peaks (Delta delta(R,S)) and minimize the overlap. Another direction of approach is to design appropriate NMR experiments to circumvent some of these problems, viz, enhancing spectral resolution, unravelling the superimposed spectra of enantiomers, and reduction of spectral complexity. Large number of NMR techniques, such as two dimensional selective F-1 decoupling, RES-TOCSY, multiple quantum detection, frequency selective homodecoupling, band selective homodecoupling, broadband homodecoupling, etc. have been reported for such a purpose. Many of these techniques have aided in chiral analysis for molecules of diverse functionality in the presence of chiral auxiliaries. The present review summarizes the recently reported NMR experimental methodologies, with a special emphasis on the work carried out in authors' laboratory.

On quasimodular eigenforms

We derive a multiplicity one result for quasimodular eigenforms on SL2(Z) by completing the description of all quasimodular eigenforms. As applications of our results, we complete the answer to the question of finding all quasimodular eigenforms arising as a product of two eigenforms and also give an estimate for the size of the maximum gap in the sequence of the Fourier coefficients of a quasimodular form.

Simultaneous acquisition of three NMR spectra in a single experiment for rapid resonance assignments in metabolomics

NMR-based approach to metabolomics typically involves the collection of two-dimensional (2D) heteronuclear correlation spectra for identification and assignment of metabolites. In case of spectral overlap, a 3D spectrum becomes necessary, which is hampered by slow data acquisition for achieving sufficient resolution. We describe here a method to simultaneously acquire three spectra (one 3D and two 2D) in a single data set, which is based on a combination of different fast data acquisition techniques such as G-matrix Fourier transform (GFT) NMR spectroscopy, parallel data acquisition and non-uniform sampling. The following spectra are acquired simultaneously: (1) C-13 multiplicity edited GFT (3,2)D HSQC-TOCSY, (2) 2D H-1- H-1] TOCSY and (3) 2D C-13- H-1] HETCOR. The spectra are obtained at high resolution and provide high-dimensional spectral information for resolving ambiguities. While the GFT spectrum has been shown previously to provide good resolution, the editing of spin systems based on their CH multiplicities further resolves the ambiguities for resonance assignments. The experiment is demonstrated on a mixture of 21 metabolites commonly observed in metabolomics. The spectra were acquired at natural abundance of C-13. This is the first application of a combination of three fast NMR methods for small molecules and opens up new avenues for high-throughput approaches for NMR-based metabolomics.

Quick measurement of H-1-F-19 scalar couplings from the complex NMR spectra by real-time spin edition

Most often the measurement of VHF from the conventional 1D H-1 NMR spectrum is severely hindered consequent to similar magnitudes of JHF and JHH couplings and the spectral multiplicity pattern. The present study reports a new 1D NMR technique based on real time spin edition, which removes all JHF and JHH while retaining only VHF of a chosen fluorine. The obtained spectrum is significantly simplified and permits straightforward determination of all possible VHF values of a chosen fluorine. Due to one dimensional nature, the method is much faster compared to 2D GET-SERF by 1-2 orders of magnitude. (C) 2015 Elsevier B.V. All rights reserved.

Las motivaciones personales fundamentales. Piedras angulares de la existencia

El desarrollo y la realización personal dependen, según el Análisis Existencial, del éxito en la confrontación con los “Temas Existenciales” de la vida. En el Análisis Existencial moderno la multiplicidad de estos temas pudo ser reducida a cuatro estructuras, que es posible considerar fundamentos de una existencia realizada, y pueden servir de modelos para una “pedagogía existencial” como para una “psicología existencial” y psicoterapia existencial, siempre orientada al desenvolvimiento de la persona; su bloqueo o un desarrollo insuficiente llevan, por el contrario, a trastornos psíquicos. La condición existencial del ser humano es básicamente dialógica, los temas fundamentales están en el acuerdo con lo fáctico y las condiciones del Dasein, con el hecho de la propia vida y con sus sentimientos y relaciones, con su propia individualidad (ser uno mismo, autonomía, autenticidad), y en definitiva, con el proceso de llegar a ser, que implica futuro y sentido.

Das paradies in der politik ein kapitel negativer kosmologie

Abstract: The idea of a “paradise in politics” is an answer to the cosmogonic- anthropogonic problem that, through their bodies, the life of human beings has been shaped politically from the very beginning: all creation is a creation of bodies and bodies are power. All creation, furthermore, means separation, it emerges through a multiplicity of things and beings only. The conventional solution for the problem, in the realm of human beings, consists in forming societies out of a multiplicity of indivuals that remains as such. The solution of a “paradise in politics”, however, envisions a “healing” of creation through a bodily transmutation by which a world of bodies emerges that is freed from the problem of bodies: separation, power. The article discusses the negative cosmology with which all tales on a paradise in politics start. It shows the essential role of phantasy in the constitution of these tales, and elucidates the principal structural elements through which visions of a paradise in politics are built. A special attention is given to the parallelism between these visions and known religious thought, as in the case of the concepts of apokatastasis or perichoresis, for instance. Methodically, the article achieves a demonstration of its subject by an extensive presentation and analysis of two case studies: Rousseau’s vision of a “terrestrial paradise” and the attempt at “bodily redemption” put on the stage in 1968-69 by the “Living Theatre” Group with its performance “Paradise Now”.

Materia, forma y privación en el opúsculo de “Principiis naturae” de Santo Tomás de Aquino

Resumen: En este trabajo seguimos la presentación de la materia, la forma y la privación realizada por Santo Tomás de Aquino en los dos primeros capítulos del De principiis naturae. Identificados como los principios de la naturaleza, son la clave para entender las definiciones de generación de las que nos provee el Aquinate. Él entiende la generación, protagonista de los cambios del mundo material, en sus principios, descubiertos en sus relaciones acto-potenciales. Completa esta presentación la distinción entre las substancias y los accidentes y sus consecuencias en el campo de los cambios de los cuerpos. Luego, Santo Tomás extiende los análisis de la privación y de la materia. La privación, entonces, es bien distinguida de la negación, porque el Aquinate muestra su dimensión potencial. La materia, por otro lado, se descubre en su pluralidad de sentidos y nos permite hablar de una participación de la materia, a partir de la principalísima materia ex qua o primera. Por último, tomamos nota de las fuentes secundarias de este texto, revisando pasajes de San Agustín y Averroes.

The Stability of the Roommate Problem Revisited

The lack of stability in some matching problems suggests that alternative solution concepts to the core might be applied to find predictable matchings. We propose the absorbing sets as a solution for the class of roommate problems with strict preferences. This solution, which always exists, either gives the matchings in the core or predicts some other matchings when the core is empty. Furthermore, it satisfies an interesting property of outer stability. We also characterize the absorbing sets, determine their number and, in case of multiplicity, we find that they all share a similar structure.

Bibliografía de los peces de agua dulce de la Argentina Suplemento 1996-2002.

Between 1981 and 1995, we published five bibliographic lists (López et al., 1981, 1982,1987, 1989 y 1995) that included the publications referred to Argentine freshwater fishes and related general information published since Ringuelet et al. (1967). We included Uruguayan papers until 1989, when it became apparent that our access to those materials was not complete. Other bibliographic collections were published on several subjects (López et al., 1991, 1993, y Ferriz et al., 1998). In the foreword to the 1995 list, López stated that it was difficult to assess the actual usefulness of the lists, since they were seldom quoted in research papers. This consideration, along with the wide success of electronic databases, caused us to discontinue the series, since its only goal had been to increase the knowledge and access to local research papers and foreign publications of interest to local researchers. Regrettably, our experience indicates that access to scientific literature is still, if not difficult, somewhat arbitrary. Apart from that, the continuous work on diverse research lines at División Zoología Vertebrados of Museo de La Plata leads to the accumulation of a multiplicity of information which may be sorted out for the use of others without much difficulty. At present, electronically-supported databases appear as the simplest way to do this. The future will show if this method is more efficient than the preceding one. In this issue we have included papers published between 1996 and 2002; and it is our purpose to update the list on a yearly basis. Papers included cover Argentine fish fauna and some related subjects of more general interest. Naturally, it is hardly surprising that some involuntary omissions will occur when addressing this subject. Any corrections and/or additions will be incorporated in following versions; and all information is most welcome.

In the footstep of Hermes: the meaning of the hermeneutics and symbolism

Translated by Michael Marder

Some problems in nonlinear elasticity

Two separate problems are discussed: axisymmetric equilibrium configurations of a circular membrane under pressure and subject to thrust along its edge, and the buckling of a circular cylindrical shell.

An ordinary differential equation governing the circular membrane is imbedded in a family of n-dimensional nonlinear equations. Phase plane methods are used to examine the number of solutions corresponding to a parameter which generalizes the thrust, as well as other parameters determining the shape of the nonlinearity and the undeformed shape of the membrane. It is found that in any number of dimensions there exists a value of the generalized thrust for which a countable infinity of solutions exist if some of the remaining parameters are made sufficiently large. Criteria describing the number of solutions in other cases are also given.

Donnell-type equations are used to model a circular cylindrical shell. The static problem of bifurcation of buckled modes from Poisson expansion is analyzed using an iteration scheme and pertubation methods. Analysis shows that although buckling loads are usually simple eigenvalues, they may have arbitrarily large but finite multiplicity when the ratio of the shell's length and circumference is rational. A numerical study of the critical buckling load for simple eigenvalues indicates that the number of waves along the axis of the deformed shell is roughly proportional to the length of the shell, suggesting the possibility of a "characteristic length." Further numerical work indicates that initial post-buckling curves are typically steep, although the load may increase or decrease. It is shown that either a sheet of solutions or two distinct branches bifurcate from a double eigenvalue. Furthermore, a shell may be subject to a uniform torque, even though one is not prescribed at the ends of the shell, through the interaction of two modes with the same number of circumferential waves. Finally, multiple time scale techniques are used to study the dynamic buckling of a rectangular plate as well as a circular cylindrical shell; transition to a new steady state amplitude determined by the nonlinearity is shown. The importance of damping in determining equilibrium configurations independent of initial conditions is illustrated.

Experiments in Neutrino Mass and Mixing: Part I - New Limits on Heavy Neutrino Emission in Nuclear Beta Decay. Part II - Fast Neutron Backgrounds for the San Onofre Neutrino Detector

In Part I of this thesis, a new magnetic spectrometer experiment which measured the β spectrum of ^(35)S is described. New limits on heavy neutrino emission in nuclear β decay were set, for a heavy neutrino mass range between 12 and 22 keV. In particular, this measurement rejects the hypothesis that a 17 keV neutrino is emitted, with sin^2 θ = 0.0085, at the 6δ statistical level. In addition, an auxiliary experiment was performed, in which an artificial kink was induced in the β spectrum by means of an absorber foil which masked a fraction of the source area. In this measurement, the sensitivity of the magnetic spectrometer to the spectral features of heavy neutrino emission was demonstrated.

In Part II, a measurement of the neutron spallation yield and multiplicity by the Cosmic-ray Underground Background Experiment is described. The production of fast neutrons by muons was investigated at an underground depth of 20 meters water equivalent, with a 200 liter detector filled with 0.09% Gd-loaded liquid scintillator. We measured a neutron production yield of (3.4 ± 0.7) x 10^(-5) neutrons per muon-g/cm^2, in agreement with other experiments. A single-to-double neutron multiplicity ratio of 4:1 was observed. In addition, stopped π^+ decays to µ^+ and then e^+ were observed as was the associated production of pions and neutrons, by the muon spallation interaction. It was seen that practically all of the π^+ produced by muons were also accompanied by at least one neutron. These measurements serve as the basis for neutron background estimates for the San Onofre neutrino detector.