Analysis of the geometric altimetry to support aircraft optimal trajectories within the future 4d trajectory management

Over the past few years, the common practice within air traffic management has been that commercial aircraft fly by following a set of predefined routes to reach their destination. Currently, aircraft operators are requesting more flexibility to fly according to their prefer- ences, in order to achieve their business objectives. Due to this reason, much research effort is being invested in developing different techniques which evaluate aircraft optimal trajectory and traffic synchronisation. Also, the inefficient use of the airspace using barometric altitude overall in the landing and takeoff phases or in Continuous Descent Approach (CDA) trajectories where currently it is necessary introduce the necessary reference setting (QNH or QFE). To solve this problem and to permit a better airspace management born the interest of this research. Where the main goals will be to evaluate the impact, weakness and strength of the use of geometrical altitude instead of the use of barometric altitude. Moreover, this dissertation propose the design a simplified trajectory simulator which is able to predict aircraft trajectories. The model is based on a three degrees of freedom aircraft point mass model that can adapt aircraft performance data from Base of Aircraft Data, and meteorological information. A feature of this trajectory simulator is to support the improvement of the strategic and pre-tactical trajectory planning in the future Air Traffic Management. To this end, the error of the tool (aircraft Trajectory Simulator) is measured by comparing its performance variables with actual flown trajectories obtained from Flight Data Recorder information. The trajectory simulator is validated by analysing the performance of different type of aircraft and considering different routes. A fuel consumption estimation error was identified and a correction is proposed for each type of aircraft model. In the future Air Traffic Management (ATM) system, the trajectory becomes the fundamental element of a new set of operating procedures collectively referred to as Trajectory-Based Operations (TBO). Thus, governmental institutions, academia, and industry have shown a renewed interest for the application of trajectory optimisation techniques in com- mercial aviation. The trajectory optimisation problem can be solved using optimal control methods. In this research we present and discuss the existing methods for solving optimal control problems focusing on direct collocation, which has received recent attention by the scientific community. In particular, two families of collocation methods are analysed, i.e., Hermite-Legendre-Gauss-Lobatto collocation and the pseudospectral collocation. They are first compared based on a benchmark case study: the minimum fuel trajectory problem with fixed arrival time. For the sake of scalability to more realistic problems, the different meth- ods are also tested based on a real Airbus 319 El Cairo-Madrid flight. Results show that pseudospectral collocation, which has shown to be numerically more accurate and computa- tionally much faster, is suitable for the type of problems arising in trajectory optimisation with application to ATM. Fast and accurate optimal trajectory can contribute properly to achieve the new challenges of the future ATM. As atmosphere uncertainties are one of the most important issues in the trajectory plan- ning, the final objective of this dissertation is to have a magnitude order of how different is the fuel consumption under different atmosphere condition. Is important to note that in the strategic phase planning the optimal trajectories are determined by meteorological predictions which differ from the moment of the flight. The optimal trajectories have shown savings of at least 500 [kg] in the majority of the atmosphere condition (different pressure, and temperature at Mean Sea Level, and different lapse rate temperature) with respect to the conventional procedure simulated at the same atmosphere condition.This results show that the implementation of optimal profiles are beneficial under the current Air traffic Management (ATM).

Optimized design of the prestress in continuous bridge decks

In this paper a method for automatic design of the prestress in continuous bridge decks is presented. In a first step of the procedure the optimal prestressed force for a completely geometrically defined and feasible prestress layout is obtained by means of linear programming techniques. Further on, in a second step the prestress geometry and minimum force are automatically found by steepest descent optimization techniques. Finally this methodology is applied to two-span continuous bridge decks and from the obtained results some preliminary design rules can be drawn.

Estudio de una metodología para transformar cualquier geometría en antifunicular añadiendo cargas externas

El antifunicular de cargas viene siendo empleado en la búsqueda de la mejor directriz para el diseño de arcos. Sin embargo, en muchas ocasiones, su forma acaba impuesta por condicionantes no meramente estructurales y su comportamiento dista de ser el óptimo. En este trabajo se propone un nuevo enfoque en el que son las cargas las que se adaptan a la geometría. Mediante la aplicación de una serie de cargas puntuales adicionales es posible obtener un comportamiento muy próximo a la compresión simple. Lo que se traduce en un importante descenso en las tensiones máximas que implica enormes ventajas. Las cargas se materializan mediante un cable de pretensado y se transmiten al arco por medio de barras, que pueden trabajar tanto a tracción como a compresión, dependiendo de la posición del cable con respecto a la estructura. Para sacar provecho a esta metodología, se ha realizado un programa que obtiene las diferentes configuraciones de este sistema para cualquier geometría introducida. Esta metodología permite diseñar estructuras de formas muy dispares dando solución a las demandas externas de una manera eficiente, elegante e innovadora. The antifunicular geometry has been employed as the optimal shape of a curved structure because it exhibits no bending under design loading. However, this shape is often defined by non-structural issues. Inevitably its behaviour is far from the ideal. The new approach, proposed in this study, consists in adding external loads to the main geometry in order to convert it into an antifunicular one. Adding point loads is possible to transform any geometry into a compression-only structure. This provides an important descent in terms of maximum stresses with great advantages for designing material-efficient structures. In the proposed system the loads are transmitted from a prestressed cable to the arch through struts, which can work in compression or in tension. It is possible to obtain different layouts of the cable for each starting shape. A computer programme has been implemented to solve it easily. This methodology allows to design structures of very different shapes, providing a solution to external demands in an efficient, innovative and elegant way.

Pararotor dynamics: center of mass displacement from the blade plane—analytical approach

The pararotor is a biology-inspired decelerator device based on the autorotation of a rotary wing whose main purpose is to guide a load descent into a certain atmosphere. This paper focuses on a practical approach to the general dynamic stability of a pararotor whose center of mass is displaced from the blade plane. The analytical study departs from the motion equations of pararotor flight, considering the center of mass displacement from the blade plane, studied over a number of simplifying hypotheses that allows determining the most important influences to flight behavior near equilibrium. Two practical indexes are developed to characterize the stability of a pararotor in terms of geometry, inertia, and the aerodynamic characteristics of the device. Based on these two parameters, a stability diagram can be defined upon which stability regions can be identified. It was concluded that the ability to reach stability conditions depends mainly on a limited number of parameters associated with the pararotor configuration: the relationship between moments of inertia, the position of the blades, the planform shape (associated with the blade aerodynamic coefficients and blade area), and the vertical distance between the center of mass and the blade plane. These parameters can be evaluated by computing practical indexes to determine stability behavior.

Habitar al borde del agua : villas del siglo XX

Las casas del siglo XX construidas al borde del mar –escenario único y origen de su expresión- siguen la topografía del suelo que habitan en su descenso al agua, y organizan espacios que obtienen miradas al horizonte marino. El horizonte nos confronta a lo desconocido. La vista del mar incita al deseo de recorrerlo, al deseo de viajar. Con origen en el otium romano, la presencia del agua define un modo de vida apacible –epicúreo- que los viajeros de la arquitectura -que nos acompañan en la tesis- traducen en sus refugios más íntimos. Experimentan con los cambios en los conceptos y en las técnicas, que se trasladan fácilmente a la arquitectura de la casa al borde del agua desde los inicios del Movimiento Moderno. Sus espacios del habitar frente al mar nos permiten descubrir estrategias comunes en sus respuestas más modernas. El arquitecto ante el proyecto frente al mar llega a la ubicación elegida, mira hacia el horizonte, y desplazándose ladera arriba se coloca en un punto estratégico que elige; después, delante de su tablero, recorre el camino inverso, coloca el lugar y sobre él dibuja los elementos que configurarán los espacios de la casa buscando esa mirada al mar. Las situaciones y ubicaciones posibles son infinitas; se definen algunas consonancias espaciales comunes en los suelos que se ocupan debidas a la presencia del mar que asociamos entre sí. De la comparación entre todas las casas -emblemas del XX-, surgen múltiples variantes de la mirada y de espacios al abierto, y modos de fabricar entornos con criterios comunes para dominar la visión del mar. Interiores que se abren al panorama, espacios cuyas ventanas buscan su mirada en la extensión del horizonte, rescisiones y aperturas. Reconocemos condicionantes en el territorio a los que las villas responden, categorías arquitectónicas que dan respuesta frente al mar en la búsqueda del moderno, la topografía, la mirada y el espacio al abierto. Las casas comparten la idea del dominio del paisaje desde el punto más alto, y en algunos suelos se invierte la tipología por la topografía, confirmando así un criterio común basado en la lectura del suelo como consecuencia de la búsqueda del espacio de la mirada. Los espacios al abierto se significan en todas ellas, son espacios al -aire libre- abiertos, unos envueltos, otros porticados, puertas del horizonte que se abren al exterior, en el techo de la casa, otros cubiertos y abiertos, espacios entre interior y exterior, en plataformas con bancales o patios envolventes, recintos o habitaciones abiertas. Descubrimos un logro del XX en los espacios positivos o negativos que traducen o juegan con el entorno, que ocupan o sustraen de los contornos construidos y que obtienen espacios intermedios en la búsqueda de la relación con el mar. Las herramientas que se utilizan son los dibujos de los autores, de las casas visitadas, el elenco de viajeros y sus viajes, el conocimiento desde el estudio de los proyectos. A través de la comparación por aproximaciones parciales, los dibujos nos definen la mirada al mar, el modo de ocupación y la forma de relación con el paisaje. La arquitectura del habitar frente al mar en el XX, hecha para y por arquitectos, topografía el suelo y construye la mirada, fabricando espacios al abierto en la relación entre la casa y el entorno marítimo. ABSTRACT Houses of the 20th century built by the sea – a unique setting which gives rise to their expression – follow the topography of the land they occupy in its descent towards the sea, and they organize spaces which give views of the maritime horizon. The horizon brings us face to face with the unknown. The sea view provokes a desire to cross it, to travel. The presence of the sea defines a peaceful, epicurean way of life, with origins in the Roman otium, which architectural travellers – who accompany us through the thesis – translate into their most intimate retreats. They experiment with changes in concepts and techniques, which are easily transferred to the architecture of the seaside house since the beginnings of the Modern Movement. Their living spaces allow us to discover common strategies in the most modern responses. The architect with a seaside project arrives at the site, looks towards the horizon, then walks uphill and chooses a strategic point; then with his drawing board he retraces his steps, he sets the position and then draws in the elements that make up the house that seeks a sea view. The number of potential situations and locations is infinite; certain common spatial accordances are defined in land which is occupied due to the presence of the sea. Comparison of all the houses – 20th century emblems – throws up multiple variations of view and open spaces, and ways of creating settings with common criteria so as to command the vision of the sea. Interiors which open up to the panorama, spaces whose windows seek their view in the expanse of the horizon, openings and closures. We recognise determinant factors in the territory to which the villas respond, architectural categories which give a seaside solution to the search for the modern, the topography, the view, and the open space. The houses share the idea of dominating the landscape from the highest point, and in some areas typology and topography are inverted, thus confirming a common criteria based on the reading of the ground as a conse quence of the search for the view space. Open spaces stand out in all the villas – spaces open to the outdoor air - some are wrapped, some arcaded, doors to the horizon which open up to the exterior, on the roof of the house. There are open and covered spaces, spaces between the exterior and interior, on platforms with banks and surrounding patios, enclosures and open rooms. We discover an achievement of the 20th century in the positive and negative spaces which translate and play with the setting, which occupy or are extracted from built contours and which obtain intermediate spaces in the search for the relationship with the sea. The tools used are the author’s drawings of the houses visited, the cast of travelling companions and their travels, the knowledge gained from study of the projects. Through comparison by means of partial approaches, the drawings define the view of the sea, the occupation mode and the way of relating to the landscape. Architecture for living by the sea in the 20th century, carried out both by and for the architects, shapes the land and constructs the view, creating open spaces in the relationship between the house and the sea surroundings.

Two-dimensional isostatic meshes in the finite element method

In a Finite Element (FE) analysis of elastic solids several items are usually considered, namely, type and shape of the elements, number of nodes per element, node positions, FE mesh, total number of degrees of freedom (dot) among others. In this paper a method to improve a given FE mesh used for a particular analysis is described. For the improvement criterion different objective functions have been chosen (Total potential energy and Average quadratic error) and the number of nodes and dof's of the new mesh remain constant and equal to the initial FE mesh. In order to find the mesh producing the minimum of the selected objective function the steepest descent gradient technique has been applied as optimization algorithm. However this efficient technique has the drawback that demands a large computation power. Extensive application of this methodology to different 2-D elasticity problems leads to the conclusion that isometric isostatic meshes (ii-meshes) produce better results than the standard reasonably initial regular meshes used in practice. This conclusion seems to be independent on the objective function used for comparison. These ii-meshes are obtained by placing FE nodes along the isostatic lines, i.e. curves tangent at each point to the principal direction lines of the elastic problem to be solved and they should be regularly spaced in order to build regular elements. That means ii-meshes are usually obtained by iteration, i.e. with the initial FE mesh the elastic analysis is carried out. By using the obtained results of this analysis the net of isostatic lines can be drawn and in a first trial an ii-mesh can be built. This first ii-mesh can be improved, if it necessary, by analyzing again the problem and generate after the FE analysis the new and improved ii-mesh. Typically, after two first tentative ii-meshes it is sufficient to produce good FE results from the elastic analysis. Several example of this procedure are presented.

1.6 Lloyd Hogsett, University of Missouri Legal Counsel

By March, 1936, the University of Missouri formally rejected Gaines because Missouri law would not permit a person of African descent to enter a white school. Within three weeks, the NAACP petitioned the court asking the University of Missouri to open its doors to Gaines on the grounds that it was the only public law school in Missouri.

2.3 University of Missouri building

The university’s defense, led by William Hogsett, countered that the University was bound by law to reject Gaines’ application and stated that Lincoln University had to provide higher education for Negroes. This is the point that Houston wanted the court to address. Houston got Canada to admit the only students he would bar would be of African descent. Hogsett, on the other hand, was unable to unnerve young Mr. Gaines with speculation that the NAACP had put him up to applying at MU. Gaines replied,” No, that is my idea; about the [law] suit.”

AVALIAÇÃO DO ESPAÇO DISPONÍVEL PARA ERUPÇÃO DOS SEGUNDOS E TERCEIROS MOLARES SUPERIORES PERMANENTES APÓS A DISTALIZAÇÃO DOS PRIMEIROS MOLARES SUPERIORES PERMANENTES

A presente pesquisa tem como objetivo avaliar cefalometricamente, o espaço e po-sicionamento das coroas dos segundos e terceiros molares superiores permanentes não erupcionados na região da tuberosidade maxilar durante a distalização dos pri-meiros molares superiores, além de verificar a correlação entre estas duas variáveis. A amostra foi constituída de 38 telerradiografias em norma lateral direita, obtidas de 19 pacientes, jovens brasileiros, leucodermas e melanodermas, sendo 6 do sexo masculino e 13 do sexo feminino, com idade média de 9 anos 5 meses 13 dias. A metodologia constou inicialmente da divisão dos tempos (T1) inicial, e após a distali-zação do primeiro molar superior permanente em (T2) por um período médio de 10 meses e 23 dias. Para avaliação do espaço e angulação das coroas existente utili-zou-se uma Linha referencial intracraniana (Linha M) sendo esta demarcada, a partir de dois pontos, o ponto SE localizado na sutura esfenoetmoidal, e o ponto Pt locali-zado na parte anterior da fossa pterigopalatina. Esta linha referencial foi transferida até o ponto F, (Linha M ) ponto este localizado na região mais posterio-inferior da tuberosidade maxilar. O espaço avaliado compreendeu entre a Linha M , até a face distal do primeiro molar superior permanente. Na análise estatística usou-se o teste t (Teste t Student) , e na correlação entre espaço e angulação foi utilizado o coefi-ciente de correlação de Pearson. Concluímos que o espaço correspondente entre a distal dos primeiros molares superiores permanentes e extremidade da tuberosidade maxilar, na fase inicial e após a movimentação distal, não é suficiente para a erup-ção dos segundos e terceiros molares superiores permanentes. A angulação das coroas na fase inicial e após a movimentação distal posicionam-se com angulações mais para distal. Quanto à correlação das angulações das coroas dos segundos e terceiros molares superiores permanentes e o espaço para erupção verificamos que quanto maior a angulação das coroas para distal, menor os espaços oferecidos para a erupção.(AU)

AVALIAÇÃO DO ESPAÇO DISPONÍVEL PARA ERUPÇÃO DOS SEGUNDOS E TERCEIROS MOLARES SUPERIORES PERMANENTES APÓS A DISTALIZAÇÃO DOS PRIMEIROS MOLARES SUPERIORES PERMANENTES

A presente pesquisa tem como objetivo avaliar cefalometricamente, o espaço e po-sicionamento das coroas dos segundos e terceiros molares superiores permanentes não erupcionados na região da tuberosidade maxilar durante a distalização dos pri-meiros molares superiores, além de verificar a correlação entre estas duas variáveis. A amostra foi constituída de 38 telerradiografias em norma lateral direita, obtidas de 19 pacientes, jovens brasileiros, leucodermas e melanodermas, sendo 6 do sexo masculino e 13 do sexo feminino, com idade média de 9 anos 5 meses 13 dias. A metodologia constou inicialmente da divisão dos tempos (T1) inicial, e após a distali-zação do primeiro molar superior permanente em (T2) por um período médio de 10 meses e 23 dias. Para avaliação do espaço e angulação das coroas existente utili-zou-se uma Linha referencial intracraniana (Linha M) sendo esta demarcada, a partir de dois pontos, o ponto SE localizado na sutura esfenoetmoidal, e o ponto Pt locali-zado na parte anterior da fossa pterigopalatina. Esta linha referencial foi transferida até o ponto F, (Linha M ) ponto este localizado na região mais posterio-inferior da tuberosidade maxilar. O espaço avaliado compreendeu entre a Linha M , até a face distal do primeiro molar superior permanente. Na análise estatística usou-se o teste t (Teste t Student) , e na correlação entre espaço e angulação foi utilizado o coefi-ciente de correlação de Pearson. Concluímos que o espaço correspondente entre a distal dos primeiros molares superiores permanentes e extremidade da tuberosidade maxilar, na fase inicial e após a movimentação distal, não é suficiente para a erup-ção dos segundos e terceiros molares superiores permanentes. A angulação das coroas na fase inicial e após a movimentação distal posicionam-se com angulações mais para distal. Quanto à correlação das angulações das coroas dos segundos e terceiros molares superiores permanentes e o espaço para erupção verificamos que quanto maior a angulação das coroas para distal, menor os espaços oferecidos para a erupção.(AU)

MANDRÁGORAS: MITOS E ASPECTOS DA CULTURA DE ISRAEL A PARTIR DE GÊNESIS 25 A 36

A sexualidade de Lea e Raquel, o útero, as mandrágoras e o corpo de Jacó são fatores que definem o alicerce do nosso texto como espaços de diálogo, mediação e estrutura do cenário. O destaque principal está sob o capítulo 30.14-16 que retrata a memória das mandrágoras. Como plantas místicas elas dominam o campo religioso e como plantas medicinais elas são utilizadas para solucionar problemas biológicos. As instituições e sociedades detentoras de uma ideologia e de leis que regulamentam uma existência apresentam na narrativa, duas irmãs, mas também esposas de um mesmo homem que, manipuladas por essa instituição que minimiza e oprime a mulher, principalmente a estéril, confina-as como simples objeto de sexualidade e mantenedoras da descendência por meio da maternidade. A memória das mandrágoras é sinal de que a prática existente circundava uma religião não monoteísta. Ela existia sociologicamente por meio de sincretismos, força e poderes sócio-culturais e religiosos. Era constituída das memórias de mulheres que manipulavam e dominavam o poder sagrado para controle de suas necessidades. O discurso dessas mulheres, em nossa unidade, prova que o discurso dessa narrativa não se encontra somente no plano individual, mas também se estende a nível comunitário, espaço que as define e lhes concede importância por meio do casamento e dádivas da maternidade como continuidade da descendência. São mulheres que dominaram um espaço na história com suas lutas e vitórias, com atos de amor e de sofrimento, de crenças e poderes numa experiência religiosa dominada pelo masculino que vai além do nosso conhecimento atual. As lutas firmadas na fé e na ideologia dessas mulheres definiram e acentuaram seu papel de protagonistas nas narrativas 9 bíblicas que estudamos no Gênesis. A conservação dessas narrativas, e do espaço teológico da época, definiu espaços, vidas, gerações e tribos que determinaram as gerações prometidas e fecharam um ciclo: o da promessa de Iahweh quanto à descendência desde Abraão. Os mitos e as crenças foram extintos para dar espaço a uma fé monoteísta, mas a experiência religiosa

An epidemic of tuberculosis with a high rate of tuberculin anergy among a population previously unexposed to tuberculosis, the Yanomami Indians of the Brazilian Amazon

A survey of an emerging tuberculosis epidemic among the Yanomami Indians of the Amazonian rain forest provided a unique opportunity to study the impact of tuberculosis on a population isolated from contact with the tubercle bacillus for millennia until the mid-1960s. Within the Yanomami population, an extraordinary high prevalence of active tuberculosis (6.4% of 625 individuals clinically examined) was observed, indicating a high susceptibility to disease, even among bacille Calmette–Guérin-vaccinated individuals. Observational studies on cell-mediated and humoral immune responses of the Yanomami Indians compared with contemporary residents of the region suggest profound differences in immunological responsiveness to Mycobacterium tuberculosis infection. Among the Yanomami, a very high prevalence of tuberculin skin test anergy was found. Of patients with active tuberculosis, 46% had purified protein derivative of tuberculosis reactions <10 mm; similarly 58% of recent bacillus Calmette–Guérin vaccines exhibited skin test reactions <5 mm. The Yanomami also had higher titers of antibodies against M. tuberculosis glycolipid antigens (>70%) than the control subjects comprised of Brazilians of European descent (14%). The antibodies were mostly of the IgM isotype. Among the tuberculosis patients who also produced IgG antibodies, the titers of IgG4 were significantly higher among the Yanomami than in the control population. Although it was not possible to analyze T-cell responses or patterns of lymphokine production in vitro because of the remoteness of the villages from laboratory facilities, the results suggest that the first encounter of the Yanomami Indian population with tuberculosis engenders a diminished cell-mediated immune response and an increased production antibody responses, relative to other populations with extensive previous contact with the pathogen. These findings suggest that tuberculosis may represent a powerful selective pressure on human evolution that over centuries has shaped the nature of human immune responses to infection.

The APC variants I1307K and E1317Q are associated with colorectal tumors, but not always with a family history

Classical familial adenomatous polyposis (FAP) is a high-penetrance autosomal dominant disease that predisposes to hundreds or thousands of colorectal adenomas and carcinoma and that results from truncating mutations in the APC gene. A variant of FAP is attenuated adenomatous polyposis coli, which results from germ-line mutations in the 5′ and 3′ regions of the APC gene. Attenuated adenomatous polyposis coli patients have “multiple” colorectal adenomas (typically fewer than 100) without the florid phenotype of classical FAP. Another group of patients with multiple adenomas has no mutations in the APC gene, and their phenotype probably results from variation at a locus, or loci, elsewhere in the genome. Recently, however, a missense variant of APC (I1307K) was described that confers an increased risk of colorectal tumors, including multiple adenomas, in Ashkenazim. We have studied a set of 164 patients with multiple colorectal adenomas and/or carcinoma and analyzed codons 1263–1377 (exon 15G) of the APC gene for germ-line variants. Three patients with the I1307K allele were detected, each of Ashkenazi descent. Four patients had a germ-line E1317Q missense variant of APC that was not present in controls; one of these individuals had an unusually large number of metaplastic polyps of the colorectum. There is increasing evidence that there exist germ-line variants of the APC gene that predispose to the development of multiple colorectal adenomas and carcinoma, but without the florid phenotype of classical FAP, and possibly with importance for colorectal cancer risk in the general population.

Phylogenetics and the origin of species

A recent criticism that the biological species concept (BSC) unduly neglects phylogeny is examined under a novel modification of coalescent theory that considers multiple, sex-defined genealogical pathways through sexual organismal pedigrees. A competing phylogenetic species concept (PSC) also is evaluated from this vantage. Two analytical approaches are employed to capture the composite phylogenetic information contained within the braided assemblages of hereditary pathways of a pedigree: (i) consensus phylogenetic trees across allelic transmission routes and (ii) composite phenograms from quantitative values of organismal coancestry. Outcomes from both approaches demonstrate that the supposed sharp distinction between biological and phylogenetic species concepts is illusory. Historical descent and reproductive ties are related aspects of phylogeny and jointly illuminate biotic discontinuity.

Mathematical approaches to comparative linguistics‡

The inference of the evolutionary history of a set of languages is a complex problem. Although some languages are known to be related through descent from common ancestral languages, for other languages determining whether such a relationship holds is itself a difficult problem. In this paper we report on new methods, developed by linguists Johanna Nichols (University of California, Berkeley), Donald Ringe and Ann Taylor (University of Pennsylvania, Philadelphia), and me, for answering some of the most difficult questions in this domain. These methods and the results of the analyses based on these methods were presented in November 1995 at the Symposium on the Frontiers of Science held by the National Academy of Sciences.