Mythologie und Sage in der Bibel

Israel-Jacob Schur

Pore water methane characteristics and sulphate reduction rates of ODP Leg 164 sediments

Anaerobic methane oxidation (AMO) was characterized in sediment cores from the Blake Ridge collected during Ocean Drilling Program (ODP) Leg 164. Three independent lines of evidence support the occurrence and scale of AMO at Sites 994 and 995. First, concentration depth profiles of methane from Hole 995B exhibit a region of upward concavity suggestive of methane consumption. Diagenetic modeling of the concentration profile indicates a 1.85-m-thick zone of AMO centered at 21.22 mbsf, with a peak rate of 12.4 nM/d. Second, subsurface maxima in tracer-based sulfate reduction rates from Holes 994B and 995B were observed at depths that coincide with the model-predicted AMO zone. The subsurface zone of sulfate reduction was 2 m thick and had a depth integrated rate that compared favorably to that of AMO (1.3 vs. 1.1 nmol/cm**2/d, respectively). These features suggest close coupling of AMO and sulfate reduction in the Blake Ridge sediments. Third, measured d13CH4 values are lightest at the point of peak model-predicted methane oxidation and become increasingly 13C-enriched with decreasing sediment depth, consistent with kinetic isotope fractionation during bacterially mediated methane oxidation. The isotopic data predict a somewhat (60 cm) shallower maximum depth of methane oxidation than do the model and sulfate reduction data.

Metodología para el análisis de los efectos de la rotura de un depósito en entorno urbano y clasificación de su riesgo potencial

El riesgo asociado a la rotura de un depósito de agua en entorno urbano (como la ocurrida, por ejemplo, en la Ciudad Autónoma de Melilla en Noviembre de 1997) y los potenciales daños que puede causar, pone en duda la seguridad de este tipo de infraestructuras que, por necesidades del servicio de abastecimiento de agua, se construyen habitualmente en puntos altos y cercanos a los núcleos de población a los que sirven. Sin embargo, la baja probabilidad de que se produzca una rotura suele rebajar los niveles de alerta asociados a los depósitos, haciéndose hincapié en la mejora de los métodos constructivos sin elaborar metodologías que, como en el caso de las presas y las balsas de riego, establezcan la necesidad de clasificar el riesgo potencial de estas infraestructuras en función de su emplazamiento y de estudiar la posible construcción de medidas mitigadoras de una posible rotura. Por otro lado, para establecer los daños que pueden derivarse de una rotura de este tipo, se hace imprescindible la modelización bidimensional de la ola de rotura por cuanto la malla urbana a la que afectaran no es susceptible de simulaciones unidimensionales, dado que no hay un cauce que ofrezca un camino preferente al agua. Este tipo de simulación requiere de una inversión económica que no siempre está disponible en la construcción de depósitos de pequeño y mediano tamaño. Esta tesis doctoral tiene como objetivo el diseño de una metodología simplificada que, por medio de graficas y atendiendo a las variables principales del fenómeno, pueda estimar un valor para el riesgo asociado a una posible rotura y sirva como guía para establecer si un deposito (existente o de nueva implantación) requiere de un modelo de detalle para estimar el riesgo y si es conveniente implantar alguna medida mitigadora de la energía producida en una rotura de este tipo. Con carácter previo se ha establecido que las variables que intervienen en la definición de riesgo asociado a la rotura, son el calado y la velocidad máxima en cada punto sensible de sufrir daños (daños asociados al vuelco y arrastre de personas principalmente), por lo que se ha procedido a estudiar las ecuaciones que rigen el problema de la rotura del depósito y de la transmisión de la onda de rotura por la malla urbana adyacente al mismo, así como los posibles métodos de resolución de las mismas y el desarrollo informático necesario para una primera aproximación a los resultados. Para poder analizar las condiciones de contorno que influyen en los valores resultantes de velocidad y calado, se ha diseñado una batería de escenarios simplificados que, tras una modelización en detalle y un análisis adimensional, han dado como resultado que las variables que influyen en los valores de calado y velocidad máximos en cada punto son: la altura de la lamina de agua del depósito, la pendiente del terreno, la rugosidad, la forma del terreno (en términos de concavidad) y la distancia del punto de estudio al deposito. Una vez definidas las variables que influyen en los resultados, se ha llevado a cabo una segunda batería de simulaciones de escenarios simplificados que ha servido para la discusión y desarrollo de las curvas que se presentan como producto principal de la metodología simplificada. Con esta metodología, que solamente necesita de unos cálculos simples para su empleo, se obtiene un primer valor de calado y velocidad introduciendo la altura de la lámina de agua máxima de servicio del depósito cuyo riesgo se quiere evaluar. Posteriormente, y utilizando el ábaco propuesto, se obtienen coeficientes correctores de los valores obtenidos para la rugosidad y pendiente media del terreno que se esta evaluando, así como para el grado de concavidad del mismo (a través de la pendiente transversal). Con los valores obtenidos con las curvas anteriores se obtienen los valores de calado y velocidad en el punto de estudio y, aplicando la formulación propuesta, se obtiene una estimación del riesgo asociado a la rotura de la infraestructura. Como corolario a la metodología mencionada, se propone una segunda serie de gráficos para evaluar, también de forma simplificada, la reducción del riesgo que se obtendría con la construcción de alguna medida mitigadora como puede ser un dique o murete perimetral al depósito. Este método de evaluación de posible medidas mitigadoras, aporta una guía para analizar la posibilidad de disminuir el riesgo con la construcción de estos elementos, o la necesidad de buscar otro emplazamiento que, si bien pueda ser no tan favorable desde el punto de vista de la explotación del depósito, presente un menor riesgo asociado a su rotura. Como complemento a la metodología simplificada propuesta, y además de llevar a cabo la calibración de la misma con los datos obtenidos tras la rotura del depósito de agua de Melilla, se ha realizado una serie de ejemplos de utilización de la metodología para, además de servir de guía de uso de la misma, poder analizar la diferencia entre los resultados que se obtendrían con una simulación bidimensional detallada de cada uno de los casos y el método simplificado aplicado a los mismos. The potential risk of a catastrophic collapse of a water supply reservoir in an urban area (such as the one occurred in Melilla in November 1997) and the damages that can cause, make question the security in this kind of infrastructures, which, by operational needs, are frequently built in high elevations and close to the urban areas they serve to. Since the likelihood of breakage is quite low, the alert levels associated to those infrastructures have also been downgraded focussing on the improvement of the constructive methods without developing methodologies (like the ones used in the case of dams or irrigation ponds) where there is a need of classifying the potential risk of those tanks and also of installing mitigating measures. Furthermore, to establish the damages related to a breakage of this kind, a twodimensional modelling of the breakage wave becomes imperative given that the urban layout does not provide a preferential way to the water. This kind of simulation requires financial investment that is not always available in the construction of small and medium sized water tanks. The purpose of this doctoral thesis is to design a simplified methodology, by means of charts and attending to the main variables of the phenomenon, that could estimate a value to the risk associated to a possible breakage. It can also be used as a guidance to establish if a reservoir (existing or a new one) requires a detailed model to estimate the risk of a breakage and the benefits of installing measures to mitigate the breakage wave effects. Previously, it has been established that the variables involved in the risk associated to a breakage are the draft and the maximum speed in every point susceptible to damages (mainly damages related to people). Bellow, the equations ruling the problem of the reservoir breakage have been studied as well as the transmission of the breakage wave through the urban network of the city and the possible methods to solve the equations and the computer development needed to a first approach to the results. In order to be able to analyse the boundary conditions affecting the values resulting (speed and draft), a set of scenarios have been designed. After a detailed modelling and a dimensionless analysis it has been proved that the variables that influence the operational draughts and the maximum speed in every point are the water level in the tank, the slope, the roughness and form (in terms of concavity) of the terrain and the distance between the tank and the control point. Having defined the involving variables, a second set of simulations of the simplified scenarios has been carried out and has helped to discuss and develop the curves that are here presented as the final product of the simplified methodology. This methodology only needs some simple calculations and gives a first value of draft and speed by introducing the maximum water level of the tank being evaluated. Subsequently, using the suggested charts, the method gives correction coefficients of the measured values for roughness and average slope of the assessed terrain as well as the degree of concavity (through transverse gradient).With the values from the previous curves (operational draughts and speed at the point of survey) and applying the proposed formulation, an estimation of the risk associated to the breakage of the infrastructure is finally obtained. As a corollary of the mentioned methodology, another set of diagrams is proposed in order to evaluate, in a simplified manner also, the risk reduction that could be gained with the construction of some mitigating measures such as dikes or retaining walls around the reservoir. This evaluating method provides a guide to analyse the possibility to reduce the risk, constructing those elements or even looking for a different site that could be worse in terms of exploitation of the tank but much safer. As a complement to the simplified methodology here proposed, and apart from completing its calibration with the obtained data after the reservoir breakage in Melilla, a number of examples of the use of the methodology have been made to be used as a user guide of the methodology itself, as well as giving the possibility of analysing the different results that can be obtained from a thorough two-dimensional simulation or from the simplified method applied to the examples.

New infinite families of exact sums of squares formulas, Jacobi elliptic functions, and Ramanujan’s tau function

In this paper, we give two infinite families of explicit exact formulas that generalize Jacobi’s (1829) 4 and 8 squares identities to 4n2 or 4n(n + 1) squares, respectively, without using cusp forms. Our 24 squares identity leads to a different formula for Ramanujan’s tau function τ(n), when n is odd. These results arise in the setting of Jacobi elliptic functions, Jacobi continued fractions, Hankel or Turánian determinants, Fourier series, Lambert series, inclusion/exclusion, Laplace expansion formula for determinants, and Schur functions. We have also obtained many additional infinite families of identities in this same setting that are analogous to the η-function identities in appendix I of Macdonald’s work [Macdonald, I. G. (1972) Invent. Math. 15, 91–143]. A special case of our methods yields a proof of the two conjectured [Kac, V. G. and Wakimoto, M. (1994) in Progress in Mathematics, eds. Brylinski, J.-L., Brylinski, R., Guillemin, V. & Kac, V. (Birkhäuser Boston, Boston, MA), Vol. 123, pp. 415–456] identities involving representing a positive integer by sums of 4n2 or 4n(n + 1) triangular numbers, respectively. Our 16 and 24 squares identities were originally obtained via multiple basic hypergeometric series, Gustafson’s Cℓ nonterminating 6φ5 summation theorem, and Andrews’ basic hypergeometric series proof of Jacobi’s 4 and 8 squares identities. We have (elsewhere) applied symmetry and Schur function techniques to this original approach to prove the existence of similar infinite families of sums of squares identities for n2 or n(n + 1) squares, respectively. Our sums of more than 8 squares identities are not the same as the formulas of Mathews (1895), Glaisher (1907), Ramanujan (1916), Mordell (1917, 1919), Hardy (1918, 1920), Kac and Wakimoto, and many others.

Students’ understanding of the function-derivative relationship when learning economic concepts

The aim of this study is to characterise students’ understanding of the function-derivative relationship when learning economic concepts. To this end, we use a fuzzy metric (Chang 1968) to identify the development of economic concept understanding that is defined by the function-derivative relationship. The results indicate that the understanding of these economic concepts is linked to students’ capacity to perform conversions and treatments between the algebraic and graphic registers of the function-derivative relationship when extracting the economic meaning of concavity/convexity in graphs of functions using the second derivative.

Tectonic geomorphology assessment of the Ken River catchment near Panna, Madhya Pradesh, India

This thesis focuses on tectonic geomorphology and the response of the Ken River catchment to postulated tectonic forcing along a NE-striking monocline fold in the Panna region, Madhya Pradesh, India. Peninsular India is underlain by three northeast-trending paleotopographic ridges of Precambrian Indian basement, bounded by crustal-scale faults. Of particular interest is the Pokhara lineament, a crustal scale fault that defines the eastern edge of the Faizabad ridge, a paleotopographic high cored by the Archean Bundelkhand craton. The Pokhara lineament coincides with the monocline structure developed in the Proterozoic Vindhyan Supergroup rocks along the Bundelkhand cratonic margin. A peculiar, deeply incised meander-like feature, preserved along the Ken River where it flows through the monocline, may be intimately related to the tectonic regime of this system. This thesis examines 41 longitudinal stream profiles across the length of the monocline structure to identify any tectonic signals generated from recent surface uplift above the Pokhara lineament. It also investigates the evolution of the Ken River catchment in response to the generation of the monocline fold. Digital Elevation Models (DEM) from Advanced Spaceborne Thermal Emission and Reflection Radiometer (ASTER) were used to delineate a series of tributary watersheds and extract individual stream profiles which were imported into MATLAB for analysis. Regression limits were chosen to define distinct channel segments, and knickpoints were defined at breaks between channel segments where there was a discrete change in the steepness of the channel profile. The longitudinal channel profiles exhibit the characteristics of a fluvial system in transient state. There is a significant downstream increase in normalized steepness index in the channel profiles, as well as a general increase in concavity downstream, with some channels exhibiting convex, over-steepened segments. Normalized steepness indices and uppermost knickpoint elevations are on average much higher in streams along the southwest segment of the monocline compared to streams along the northeast segment. Most channel profiles have two to three knickpoints, predominantly exhibiting slope-break morphology. These data have important implications for recent surface uplift above the Pokhara lineament. Furthermore, geomorphic features preserved along the Ken River suggest that it is an antecedent river. The incised meander-like feature appears to be the abandoned river valley of a former Ken River course that was captured during the evolution of the landscape by what is the present day Ken River.

Alfred Rethel /

Mode of access: Internet.

Heuristic routing for solid waste collection vehicles,

"An environmental protection publication (SW-113) in the solid waste management series."

Geometry of profiles across Inner Continental Shelves of the Atlantic and Gulf coasts of the United States /

Along most of the U.S. east and gulf coasts from Long Island to the Mexican Border, bottom profiles extending over the Inner Continental Shelves normal from the coast display a characteristic two-sector shape. Near the coast, the 'shoreface' profile sector is steep and concave-up; the seaward 'ramp' sector is planar with a gradual slope away from the coast. As part of the Beach Evaluation Program at this Center, 9 profiles extending from the coast 30.5 km (19 miles) seaward at each of 49 localities were averaged to mathematically characterize the profiles and to develop and test criteria for discriminating among groups of profiles. Results indicate Inner Continental Shelf profiles can be mathematically defined by 4 parameters: a = ramp slope (0 - 0.00107); b = depth of the ramp at the shoreline, when the ramp is extended as a straight line below the shoreface sector (0 - 24.7 meters, 0 - 81 feet); c = distance from the shoreline to the shoreface-ramp boundary (0.2 - 20.6 km, 0.12 - 12.9 miles); and f = index of concavity of the shoreface sector (0.21 - 1.72). Values in parentheses are the range of values obtained for the 49 averaged profiles. An equation was developed to define bottom depth as a function of distance from shore incorporating these four parameters. Computed depths using the equation were found to be generally within 5% of actual profile depths. In most cases, no relationship was found between the geometric characteristics of the shoreface and the ramp.

Die Äneassage in der späteren römischen Literatur.

"Nur ... [der] erste Teil meiner Forschungen über die Geschichte der ... Sagen von Äneas und Romulus."

Vorlesungen über graphische Statik,

Mode of access: Internet.

Application of the cross-entropy method to the buffer allocation problem in a simulation-based environment

The buffer allocation problem (BAP) is a well-known difficult problem in the design of production lines. We present a stochastic algorithm for solving the BAP, based on the cross-entropy method, a new paradigm for stochastic optimization. The algorithm involves the following iterative steps: (a) the generation of buffer allocations according to a certain random mechanism, followed by (b) the modification of this mechanism on the basis of cross-entropy minimization. Through various numerical experiments we demonstrate the efficiency of the proposed algorithm and show that the method can quickly generate (near-)optimal buffer allocations for fairly large production lines.

Mujer y escritura:construcción de una subjetividad dinámica en cóncava mujer y del dolor y las alas

The title of Juana Castro’s poetry book publshed in 1978, Cóncava mujer — Concave woman — expresses the hollow nature of the social female subject. From Juana Castro’s point of view, this female social concavity is only allowed to transformed itself into its opposite, the convex women which clearly represents the reproductive role of the female body. These two extreme roles assigned to women, hollowness or maternity, are the poetic paradigms for Juana Castro’s two poetry books analised in this article. As if we were presented with the two sides of a coin, Cóncava mujer and Del dolor y las alas – On anguish and wings--(1982) reflect the author´s concious realisation of the above-mentioned female duality as a defined and percieved subject by male society. Each poetry book, however, respond to two different personal moments, and each result in two different ways of conceiving poetic language. On one hand, the poetic subject of Cóncava mujer emerges with all its force as a feminist voice whose goal is the attack of all aspects of the patriarchal society as the cause of the female concavity. On the other hand, in Del dolor y las alas the poetic voice unfolds her motherhood as both loss and creation: the death of Juana Castro’s son makes the poetic subject incomplete, and therefore a concave one; whereas the poetic discourse appears as the perfect way to occupy the empty space left by the son’s death.

On a New Approach to Williamson's Generalization of Pólya's Enumeration Theorem

Pólya’s fundamental enumeration theorem and some results from Williamson’s generalized setup of it are proved in terms of Schur- Macdonald’s theory (S-MT) of “invariant matrices”. Given a permutation group W ≤ Sd and a one-dimensional character χ of W , the polynomial functor Fχ corresponding via S-MT to the induced monomial representation Uχ = ind|Sdv/W (χ) of Sd , is studied. It turns out that the characteristic ch(Fχ ) is the weighted inventory of some set J(χ) of W -orbits in the integer-valued hypercube [0, ∞)d . The elements of J(χ) can be distinguished among all W -orbits by a maximum property. The identity ch(Fχ ) = ch(Uχ ) of both characteristics is a consequence of S-MT, and is equivalent to a result of Williamson. Pólya’s theorem can be obtained from the above identity by the specialization χ = 1W , where 1W is the unit character of W.

On Pareto Sets in Multi-Criteria Optimization

Здравко Д. Славов - В тази работа се разглеждат Паретовските решения в непрекъсната многокритериална оптимизация. Обсъжда се ролята на някои предположения, които влияят на характеристиките на Паретовските множества. Авторът се е опитал да премахне предположенията за вдлъбнатост на целевите функции и изпъкналост на допустимата област, които обикновено се използват в многокритериалната оптимизация. Резултатите са на базата на конструирането на ретракция от допустимата област върху Парето-оптималното множество.