Problemas comentados (XVI)

En estos momentos hay una gran actividad en las escuelas canarias alrededor de la resolución de problemas. Un objetivo importante en el aprendizaje de las matemáticas es el de "elaborar estrategias de identificación y resolución de problemas en los diversos campos del conocimiento y la experiencia, mediante procedimientos intuitivos y de razonamiento lógico, contrastándolas y reflexionando sobre el proceso seguido." La resolución de ejercicios y problemas es un proceso clave en la enseñanza de las matemáticas, mediante el cual los alumnos experimentan la potencia y la utilidad de las matemáticas en el mundo que los rodea.

Isoperímetros: el problema de los isoperímetros veinticuatro siglos después

Todo tiene un final, incluso una etapa de progreso y buen haber como este último periodo de nuestra querida suma. Emilio y Julio cumplido de sobra y pasan el testigo. Sirvan estas líneas introductoriass a nuestra también última entrega isoperimétrica para mostrarle nuestro reconocimiento. Sobresaliente, cum laude por unanimidad, amigos.

[Book Review] Vardah Shiloh, Millon 'Ivri-'Arami-'Aššuri bs-Lahag Yihude Zaxo (A New Neo-Aramaic Dictionary: Jewish Dialect of Zakho). Volume I: 'alef—nun\ Volume II: samex-tav. V. Shilo (16 Ben-Gamla Street), Jerusalem 1995. Pp. xiv + 488 (Vol. I); 489-963 (Vol. II). (Modern Hebrew, Zakho Jewish Neo-Aramaic).

Review of: Vardah Shiloh, Millon 'Ivri-'Arami-'Aššuri bs-Lahag Yihude Zaxo (A New Neo-Aramaic Dictionary: Jewish Dialect of Zakho). Volume I: 'alef—nun\ Volume II: samex-tav. V. Shilo (16 Ben-Gamla Street), Jerusalem 1995. Pp. xiv + 488 (Vol. I); 489-963 (Vol. II). (Modern Hebrew, Zakho Jewish Neo-Aramaic). Hbk.

Energy levels and radiative rates for transitions in Ar XIII, Ar XIV and Ar XV

Energies for 524 levels of Ar XIII, 460 levels of Ar XIV and 156 levels of Ar XV have been calculated using the GRASP code of Dyall et al. (1989). Additionally, radiative rates, oscillator strengths, and line strengths are calculated for all electric dipole (E1), magnetic dipole (M1), electric quadrupole (E2), and magnetic quadrupole (M2) transitions among these levels. Comparisons are made with the limited results available in the literature, and the accuracy of the data is assessed. Our energy levels are estimated to be accurate to better than 1%, whereas results for other parameters are probably accurate to better than 20%. Additionally, the level lifetimes derived from our radiative rates are in excellent agreement with measured values.

The extreme-ultraviolet structure and properties of a newly emerged active region

The structure and properties of a newly emerged solar active region (NOAA Active Region 7985) are discussed using the Coronal Diagnostic Spectrometer (CDS) and the Extreme- Ultraviolet Imaging Telescope (EIT) on board the Solar and Heliospheric Observatory. CDS obtained high-resolution EUV spectra in the 308-381 Angstrom and 513-633 Angstrom wavelength ranges, while EIT recorded full-disk EUV images in the He II (304 Angstrom), Fe IX/X (171 Angstrom), Fe xii (195 Angstrom), and Fe XV (284 Angstrom) bandpasses. Electron density measurements from Si rx, Si X, Fe xii, Fe XIII, and Fe xiv line ratios indicate that the region consists of a central high- density core with peak densities of the order of 1.2 x 10(10) cm(-3), which decrease monotonically to similar to5.0 X 10(8) cm(-3) at the active region boundary. The derived electron densities also vary systematically with temperature. Electron pressures as a function of both active region position and temperature were estimated using the derived electron densities and ion formation temperatures, and the constant pressure assumption was found to be an unrealistic simplification. Indeed, the active region is found to have a high-pressure core (1.3 x 10(16) cm(-3) K) that falls to 6.0 x 10(14) cm(-3) K just outside the region. CDS line ratios from different ionization stages of iron, specifically Fe xvi (335.4 Angstrom) and Fe xiv (334.4 Angstrom), were used to diagnose plasma temperatures within the active region. Using this method, peak temperatures of 2.1 x 10(6) K were identified. This is in good agreement with electron temperatures derived using EIT filter ratios and the two-temperature model of Zhang et al. The high- temperature emission is confined to the active region core, while emission from cooler (1-1.6) x 10(6) K lines originates in a system of loops visible in EIT 171 and 195 X images. Finally, the three-dimensional geometry of the active region is investigated using potential field extrapolations from a Kitt Peak magnetogram. The combination of EUV and magnetic field extrapolations extends the "core-halo" picture of active region structure to one in which the core is composed of a number of compact coronal loops that confine the hot, dense, high- pressure core plasma while the halo emission emerges from a system of cooler and more extended loops.

Emission lines of Na-like ions in spectra obtained with the Solar EUV Research Telescope and Spectrograph (SERTS)

Theoretical emission-line ratios involving transitions in the 236-412 Angstrom wavelength range are presented for the Na-like ions Ar viii, Cr xiv, Mn xv, Fe xvi, Co xvii, Ni xviii and Zn xx. A comparison of these with an extensive data set of the solar active region, quiet-Sun, subflare and off-limb observations, obtained during rocket flights by the Solar EUV Research Telescope and Spectrograph (SERTS), reveals generally very good agreement between theory and experiment. This indicates that most of the Na-like ion lines are reliably detected in the SERTS observations, and hence may be employed with confidence in solar spectral analyses. However, the features in the SERTS spectra at 236.34 and 300.25 Angstrom, originally identified as the Ni xviii 3p (2) P-3/2 -3d (2) D- 3/2 and Cr xiv 3p (2) P-3/2 -3d (2) D-5/2 transitions, respectively, are found to be due to emission lines of Ar xiii (236.34 Angstrom) and possibly S v or Ni vi (300.25 Angstrom). The Co xvii 3s (2) S-3p (2) P-3/2 line at 312.55 Angstrom is always badly blended with an Fe xv feature at the same wavelength, but Mn xv 3s (2) S-3p (2) P-1/2 at 384.75 Angstrom may not always be as affected by second-order emission from Fe xii 192.37 Angstrom as previously thought. On the other hand, we find that the Zn xx 3s (2) S-3p (2) P-3/2 transition can sometimes make a significant contribution to the Zn xx/Fe xiii 256.43- Angstrom blend, and hence care must be taken when using this feature as an Fe xiii electron density diagnostic. A line in the SERTS-89 active region spectrum at 265.00 Angstrom has been re-assessed, and we confirm its identification as the Fe xvi 3p (2) P-3/2 -3d (2) D-3/2 transition.

Inner-shell photoexcitation of Fe XV and Fe XVI

The configuration-interaction method as implemented in the computer code CIV3 is used to determine energy levels, electric dipole radiative transition wavelengths, oscillator strengths and transition probabilities for inner-shell excitation of transitions in Fe XV and Fe XVI. Specifically, transitions are considered of the type 1s(2) 2s(2) 2p(6) 3s(2) -1s(2) 2s(2) 2p(5) 3l3l' 3l" (l, l' and l" = s,p or d) in FeXV and 1s(2) 2s(2) 2p(6) 3s- 1s(2) 2s(2) 2p(5) 3l3l' (l and l' = s,p or d) in FeXVI, using the relativistic Breit-Pauli approach. An assessment of the accuracy of the derived atomic data is performed.

Energy levels and radiative rates for Li-like Ar XVI and Fe XXIV

Energy levels for transitions among the lowest 24 fine- structure levels belonging to the 1s(2)nl(n greater than or equal to 5) configurations of Li-like Ar XVI and Fe XXIV have been calculated using the fully relativistic GRASP code. Oscillator strengths, radiative rates and line strengths have also been generated among these levels for the four types of transitions: electric dipole (E1), magnetic dipole (M1), electric quadrupole (E2) and magnetic quadrupole (M2). Comparisons are made for the electric dipole transitions with other available results, and the accuracy of the present data is assessed.

Electron impact excitation of Fe XVI: radiative and excitation rates

Aims. In this paper we report calculations for energy levels, radiative rates, collision strengths, and effective collision strengths for transitions in Fe XVI. Methods. For energy levels and radiative rates we have used the General purpose Relativistic Atomic Structure Package ( grasp), and for the compuations of collision strengths the Dirac Atomic R-matrix Code (darc) has been adopted. Results. Energies for the lowest 39 levels among the n

An investigation of Fe XVI emission lines in solar and stellar extreme-ultraviolet and soft X-ray spectra

New fully relativistic calculations of radiative rates and electron impact excitation cross-sections for Fe XVI are used to determine theoretical emission-line ratios applicable to the 251-361 and 32-77 angstrom portions of the extreme-ultraviolet (EUV) and soft X-ray spectral regions, respectively. A comparison of the EUV results with observations from the Solar Extreme-Ultraviolet Research Telescope and Spectrograph (SERTS) reveals excellent agreement between theory and experiment. However, for emission lines in the 32-49 angstrom portion of the soft X-ray spectral region, there are large discrepancies between theory and measurement for both a solar flare spectrum obtained with the X-Ray Spectrometer/Spectrograph Telescope (XSST) and for observations of Capella from the Low- Energy Transmission Grating Spectrometer (LETGS) on the Chandra X-ray Observatory. These are probably due to blending in the solar flare and Capella data from both first-order lines and from shorter wavelength transitions detected in second and third order. By contrast, there is very good agreement between our theoretical results and the XSST and LETGS observations in the 50-77 angstrom wavelength range, contrary to previous results. In particular, there is no evidence that the Fe XVI emission from the XSST flare arises from plasma at a much higher temperature than that expected for Fe XVI in ionization equilibrium, as suggested by earlier work.

La capilla del Cristo de las Descalzas Reales de Madrid: arte y liturgia en el siglo XVI

Estudio de la capilla del Cristo de las Descalzas Reales de Madrid que analiza la historia de la obra, sus aspectos artísticos y su significado. Las circunstancias de la fundación del monasterio explican la función de la capilla como escenario de las especiales ceremonias litúrgicas del Viernes Santo y del Domingo de Resurrección instauradas en razón de su origen, lo que permite asimismo fijar su ejecución entre las obras de su etapa fundacional, probablemente entre 1560 y 1565, diseñada por artistas de los talleres reales. Se aporta noticia documental sobre Diego de Urbina y Juan de Cerecedo como pintores al servicio de Juana de Austria en ese momento.

La parroquia de San Miguel de Sagra y San Gil de Madrid en el siglo XVI. Aportaciones documentales

Una serie de documentos inéditos relativos a la antigua parroquia de San Miguel de Sagra y San Gil, localizada muy próxima a la entrada principal del Alcázar de Madrid, así como su posterior derribo y traslado en 1548 con nuevo edificio en el lado suroriental del Palacio, permite profundizar en un proyecto urbano largo tiempo madurado y culminado en la conformación de un espacio abierto y regularizado, emblemático y representativo, que resultó ser la plaza situada frente a la portada principal del Alcázar.

Effective collision strengths for inner shell transitions of Fe XVI

Collision strengths for transitions among the energetically lowest 134 levels of the (1s(2)2s(2)) 2p(6)3l, 2p(5)3s(2), 2p(5)3s3p, 2p(5)3s3d, 2p(5)3p3d and 2p(5)3d(2) configurations of Fe XVI are computed, over an electron energy range below 570 Ryd, using the Dirac atomic R-matrix code (DARC) and the flexible atomic code (FAC). All partial waves with J