959 resultados para Readability Formulas
Resumo:
Dissolved organic matter (DOM) in marine sediments is a complex mixture of thousands of individual constituents that participate in biogeochemical reactions and serve as substrates for benthic microbes. Knowledge of the molecular composition of DOM is a prerequisite for a comprehensive understanding of the biogeochemical processes in sediments. In this study, interstitial water DOM was extracted with Rhizon samplers from a sediment core from the Black Sea and compared to the corresponding water-extractable organic matter fraction (<0.4 µm) obtained by Soxhlet extraction, which mobilizes labile particulate organic matter and DOM. After solid phase extraction (SPE) of DOM, samples were analyzed for the molecular composition by Fourier Transform Ion-Cyclotron Resonance Mass Spectrometry (FT-ICR MS) with electrospray ionization in negative ion mode. The average SPE extraction yield of the dissolved organic carbon (DOC) in interstitial water was 63%, whereas less than 30% of the DOC in Soxhlet-extracted organic matter was recovered. Nevertheless, Soxhlet extraction yielded up to 4.35% of the total sedimentary organic carbon, which is more than 30-times the organic carbon content of the interstitial water. While interstitial water DOM consisted primarily of carbon-, hydrogen- and oxygen-bearing compounds, Soxhlet extracts yielded more complex FT-ICR mass spectra with more peaks and higher abundances of nitrogen- and sulfur-bearing compounds. The molecular composition of both sample types was affected by the geochemical conditions in the sediment; elevated concentrations of HS- promoted the early diagenetic sulfurization of organic matter. The Soxhlet extracts from shallow sediment contained specific three- and four-nitrogen-bearing molecular formulas that were also detected in bacterial cell extracts and presumably represent proteinaceous molecules. These compounds decreased with increasing sediment depth while one- and two-nitrogen-bearing molecules increased, resulting in a higher similarity of both sample types in the deep sediment. In summary, Soxhlet extraction of sediments accessed a larger and more complex pool of organic matter than present in interstitial water DOM.
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Radiocarbon datings are used to calculate mean sedimentation rates of metalliferous sediments in the southern arid zone of the Pacific Ocean adjoining the axis of the East Pacific rise (20°S). Owing to low sedimentation rates and intense mixing, only averaged figures could be obtained for ages less than 16 ky. Sedimentation rate varies from 0.3 to about 1 cm/1000 years in the surface layer and is several times higher in the time interval from 20 ky to 45 ky ago. Formulas for calculating mean sedimentation rates with allowance for benthic mixing are presented.
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Although sulfur is an essential element for marine primary production and critical for climate processes, little is known about the oceanic pool of non-volatile dissolved organic sulfur (DOS). We present a basin-scale distribution of solid phase extractable DOS in the East Atlantic Ocean and the Atlantic sector of the Southern Ocean. While molar DOS versus dissolved organic nitrogen (DON) ratios of 0.11 ± 0.024 in Atlantic surface water resembled phytoplankton stoichiometry (S/N ~ 0.08), increasing dissolved organic carbon (DOC) versus DOS ratios and decreasing methionine-S yield demonstrated selective DOS removal and active involvement in marine biogeochemical cycles. Based on stoichiometric estimates, the minimum global inventory of marine DOS is 6.7 Pg S, exceeding all other marine organic sulfur reservoirs by an order of magnitude.
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With regression formulas replaced by equilibrium conditions, a spatial CGE model can substantially reduce data requirements. Detailed regional analyses are thus possible in countries where only limited regional statistics are available. While regional price differentials play important roles in multi-regional settings, transport does not receive much attention in existing models. This paper formulates a spatial CGE model that explicitly considers the transport sector and FOB/CIF prices. After describing the model, performance of our model is evaluated by comparing the benchmark equilibrium for China with survey-based regional I-O and interregional I-O tables for 1987. The structure of Chinese economies is summarized using information obtained from the benchmark equilibrium computation. This includes regional and sectoral production distributions and price differentials. The equilibrium for 1997 facilitates discussion of changes in regional economic structures that China has experienced in the decade.
Resumo:
Los polímeros armados con fibras (FRP) se utilizan en refuerzos de estructuras de hormigón debido sobre todo a sus excelentes propiedades mecánicas, su resistencia a la corrosión y a su ligereza que se traduce en facilidad y ahorro en el transporte, puesta en obra y aplicación, la cual se realiza de forma muy rápida, con pocos operarios y utilizando medios auxiliares ligeros, minimizándose las interrupciones del uso de la estructura y las molestias a los usuarios. Las razones presentadas anteriormente, han despertado un gran inter´es por parte de diferentes grupos de investigación a nivel mundial y que actualmente se encuentran desarrollando nuevas técnicas de aplicación y métodos de cálculo. Sin embargo, las investigaciones realizadas hasta la fecha, muestran un procedimiento bien definido y aceptado en lo referente al cálculo a flexión, lo cual no ocurre con el refuerzo a cortante y aunque se ha demostrado que el refuerzo con FRP es un sistema eficaz para incrementar la capacidad ´ultima frente a esfuerzos cortantes, también se pone de manifiesto la necesidad de más estudios experimentales y teóricos para avanzar en el entendimiento de los mecanismos involucrados para este tipo de refuerzo y establecer un procedimiento de diseño apropiado que maximice las excelentes propiedades de este material. Los modelos que explican el comportamiento del refuerzo a cortante de elementos de hormigón armado son complejos y sin transposición directa a fórmulas ingenieriles. Las normas actualmente en vigor, generalmente, establecen empíricamente la capacidad cortante como la suma de las capacidades del hormigón y el refuerzo transversal de acero. Cuando un elemento es reforzado externamente con FRP, los modelos son evidentemente aun más complejos. Las guías y recomendaciones existentes proponen calcular la capacidad del elemento añadiendo la resistencia aportada por el refuerzo externo de FRP a la ya dada por el hormigón y acero transversal. Sin embargo, la idoneidad de este acercamiento es cuestionable puesto que no tiene en cuenta una posible interacción entre refuerzos. Con base en lo anterior se da origen al tema objeto de este trabajo, el cual está orientado al estudio a cortante de elementos de hormigón armado (HA), reforzados externamente con material compuesto de tejido unidireccional de fibra de carbono y resina epoxi. Inicialmente se hace una completa revisión del estado actual del conocimiento de la resistencia a cortante en elementos de hormigón armado con y sin refuerzo externo de FRP, prestando especial atención en los mecanismos actuantes estudiados hasta la fecha. La bibliografía consultada ha sido exhaustiva y actualizada lo que ha permitido el estudio de los modelos propuestos más importantes, tanto para la descripción del fenómeno de adherencia entre hormigón-FRP como de la valoración del aporte al cortante total hecho por el FRP, a través de sendas bases de datos de ensayos de pull-out y de vigas de hormigón armado ensayadas a cortante. Con base en todo lo anterior, se expusieron los mecanismos actuantes en el aporte a cortante hecho por el FRP en elementos de hormigón armado y la forma como las principales guías de cálculo existentes hasta la fecha los abordan. De igual forma se define un modelo de resistencia de esfuerzos para el FRP y se proponen dos modelos para el cálculo de las tensiones o deformaciones efectivas, de los cuales uno esta basado en el modelo de adherencia propuesto por Oller (2005) y el otro en una regresión multivariante para los mecanismos expuestos. Como complemento del estudio de los trabajos encontrados en la literatura, se lleva acabo un programa experimental que, además de aportar más registros a la exigua base de datos existentes, aporte mayor luz a los puntos que se consideran están deficientemente resueltos. Dentro de este programa se realizaron 32 ensayos sobre 16 vigas de 4.5 m de longitud (dos ensayos por viga), reforzadas a cortante con tejido unidireccional de CFRP. Finalmente, estos estudios han permitido proponer modificaciones a las formulaciones existentes en los códigos y guías en vigor. Abstract Its excellent mechanical properties, as well as its corrosion resistance and light weight, which make it easy to apply and inexpensive to ship to the worksite, are the basis of the extended use of fiber reinforced polymer (FRP) as external strengthening for structures. FRP strengthening is a rapid operation calling for only limited labor and lightweight ancillary equipment, all of which minimizes both the interruption of facility usage and user inconvenience. These advantages have aroused considerable interest in civil engineering science and technology and have led to countless applications the world over. Research studies on the shear strength of FRP-strengthened members have been much fewer in number and more controversial than the research on flexural strengthening, for which a more or less standardized and generally accepted procedure has been established. The research conducted and a host of applications around the world have shown that FRP strengthening is an effective technique for raising ultimate shear strength, but it has also revealed a need for further experimental and theoretical research to advance in the understanding of the mechanisms involved and establish suitable design procedures that optimize the excellent properties of this material The models that explain reinforced concrete (RC) shear strength behavior are complex and cannot be directly transposed to engineering formulas. The standards presently in place generally establish shear capacity empirically as the sum of the capacities of the concrete and the passive reinforcement. When members are externally strengthened with FRP, the models are obviously even more complex. The existing guides and recommendations propose calculating capacity by adding the external strength provided by the FRP to the contributions of the concrete and passive reinforcement. The suitability of this approach is questionable, however, because it fails to consider the interaction between passive reinforcement and external strengthening. The subject of this work is based in above, which is focused on externally shear strengthening for reinforced concrete members with unidirectional carbon fiber sheets bonded with epoxy resin. v Initially a thorough literature review on shear of reinforced concrete beams with and without external FRP strengthening was performed, paying special attention to the acting mechanisms studied to date, which allowed the study of the most important models both to describe the bond phenomenon as well as calculating the FRP shear contribution, through separate databases of pull-out tests and shear tests on reinforced concrete beams externally strengthened with FRP. Based on above, they were exposed the acting mechanisms in a FRP shear strengthening on reinforced concrete beams and how guidelines deal the topic. The same way, it is defined a FRP stress strength model and two more models are proposed for calculating the effective stress, one of these is based on the Oller (2005) bond model and another one is the data best fit, taking into account most of the acting mechanisms. To complement the theoretical part we develop an experimental program that, in addition to providing more records to the meager existing database provide greater understanding to the points considered poorly resolved. The test program included 32 tests of 16 beams (2 per beam) of 4.5 m long, shear strengthened with FRP, externally. Finally, modifications to the existing codes and guidelines are proposed.
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The classical Kramer sampling theorem, which provides a method for obtaining orthogonal sampling formulas, can be formulated in a more general nonorthogonal setting. In this setting, a challenging problem is to characterize the situations when the obtained nonorthogonal sampling formulas can be expressed as Lagrange-type interpolation series. In this article a necessary and sufficient condition is given in terms of the zero removing property. Roughly speaking, this property concerns the stability of the sampled functions on removing a finite number of their zeros.
Resumo:
The classical Kramer sampling theorem provides a method for obtaining orthogonal sampling formulas. In particular, when the involved kernel is analytic in the sampling parameter it can be stated in an abstract setting of reproducing kernel Hilbert spaces of entire functions which includes as a particular case the classical Shannon sampling theory. This abstract setting allows us to obtain a sort of converse result and to characterize when the sampling formula associated with an analytic Kramer kernel can be expressed as a Lagrange-type interpolation series. On the other hand, the de Branges spaces of entire functions satisfy orthogonal sampling formulas which can be written as Lagrange-type interpolation series. In this work some links between all these ideas are established.
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Well, I firmly believe that, as a professor, one has the duty, the obligation to show and explain his work. Not, of course, as a model to imitate, but rather as an opportunity to reflect upon that work. So, I will try to explain some of the considerations that were crucial in the development of each project. It is my hope that these reflections may be of interest to you, and due to my optimistic nature, that you may even enjoy it. Today I am going to present some projects, from a specific point of view: that of MATERIALITY. This is why I decided to title this presentation ARCHITEXTURE: that is, architecture from the point of view of texture, the quality of its material. Our architecture wants to pay attention to materials; we like to use very physical materials. We try to explore the expressive possibilities of different materials. That allows us, on the one hand, to try to master different techniques, and exploit their potential. On the other hand, it also avoids the dangers of style. Style is the death of an architect. When he starts repeating formulas, avoiding experimentation, copying himself, he dies of boredom, of intellectual boredom. Nevertheless, I don’t believe that the material itself determines anything. Architecture is an exercise of the freedom of an architect. Almost nothing is a given. Of course, there is the law of gravity and economic restraints, and even the overwhelming building code. But the most determinant factor is always the freedom of the architect, derived from his mastery of knowledge and culture, and his decision to innovate and to take risks
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Este proyecto tiene como objetivo elaborar un programa de ordenador en Visual Basic para diseñar voladuras a cielo abierto. Se realiza una revisión de las más conocidas formulas de cálculo de voladuras. Para voladuras con barrenos de pequeño diámetro (diámetro hasta 165 mm) se ha programado la formula propuesta por los investigadores sueca y para voladuras con barrenos mayores de 165 mm la formula de Konya y Walter (1990). El software incorpora, también, el cálculo del tamaño medio del escombro a partir del modelo de fragmentación Kuz-Ram, y la obtención del coste de la voladura. La eficacia del software se ha evaluado en tres voladuras realizadas en AngloGold Ashanti, Iduapriem Mine y Adamus Resources (ambos ubicados en Ghana) y Bonikro Gold Mine (Côte d'Ivoire).
Resumo:
Introducción. El número de personas que padecen síndrome metabólico ha incrementado a nivel mundial durante las últimas dos décadas. Existen numerosos estudios que tratan de comparar prevalencias según los diferentes criterios y estimaciones del riesgo metabólico. De ellos se puede concluir que el principal hallazgo ha sido recalcar la necesidad de una definición estándar universal. A pesar de estas discrepancias no hay lugar a duda sobre el problema de salud pública que esto conlleva. Se necesitan medidas y estrategias urgentes para prevenir y controlar esta emergente epidemia global y para ello se debe prestar especial atención a los cambios en el estilo de vida, fundamentalmente dieta y ejercicio. A pesar de todo, existe a día de hoy una importante controversia sobre el tipo de ejercicio más efectivo y su combinación con la dieta para conseguir mejoras en la salud. Objetivos. Estudiar los índices de riesgo metabólico empleados en la literatura científica y las terapias basadas en dieta y ejercicio para el tratamiento de los factores del síndrome metabólico en adultos con sobrepeso. Diseño de investigación. Los datos empleados en el análisis de esta tesis son, primeramente un estudio piloto, y posteriormente parte del estudio “Programas de Nutrición y Actividad Física para el tratamiento de la obesidad” (PRONAF). El estudio PRONAF es un proyecto consistente en un estudio clínico sobre programas de nutrición y actividad física para el sobrepeso y la obesidad, desarrollado en España durante varios años de intervenciones. Fue diseñado, en parte, para tratar de comparar protocolos de entrenamiento de resistencia, cargas y combinado en igualdad de volumen e intensidad, con el objetivo de evaluar su impacto en los factores de riesgo y la prevalencia del síndrome metabólico en personas con sobrepeso y obesidad. El diseño experimental es un control aleatorio y el protocolo incluye 3 modos de ejercicio (entrenamiento de resistencia, con cargas y combinado) y restricción dietética sobre diversas variables determinantes del estado de salud. Las principales variables para la investigación que comprende esta tesis fueron: actividad física habitual, marcadores de grasa corporal, niveles de insulina, glucosa, triglicéridos, colesterol total, colesterol HDL, colesterol LDL, presión arterial y parámetros relacionados con el ejercicio. Conclusiones. A) Los índices de riesgo metabólico estudiados presentan resultados contradictorios en relación al riesgo metabólico en un individuo, dependiendo de los métodos matemáticos empleados para el cálculo y de las variables introducidas, tanto en mujeres sanas como en adultos en sobrepeso. B) El protocolo de entrenamiento combinado (de cargas y de resistencia) junto con la dieta equilibrada propuesto en este estudio fue la mejor estrategia para la mejora del riesgo de síndrome metabólico en adultos con sobrepeso. C) Los protocolos de entrenamiento supervisado de resistencia, con cargas y combinado junto con la restricción nutricional, no obtuvieron mejoras sobre el perfil lipídico, más allá de los cambios conseguidos con el protocolo de dieta y recomendaciones generales de actividad física habitual en clínica, en adultos con sobrepeso. Background. Over the past two decades, a striking increase in the number of people with the MetS worldwide has taken place. Many studies compare prevalences using different criteria and metabolic risk estimation formulas, and perhaps their main achievement is to reinforce the need for a standardized international definition. Although these discrepancies, there is no doubt it is a public health problem. There is urgent need for strategies to prevent and manage the emerging global epidemic, special consideration should be given to behavioral and lifestyle, mainly diet and exercise. However, there is still controversy about the most effective type of exercise and diet combination to achieve improvements. Objectives. To study the metabolic risk scores used in the literature and the diet and exercise therapies for the treatment of the MetS factors in overweight adults. Research design. The data used in the analysis was collected firstly in a pilot study and lately, as a part of the “Programas de Nutrición y Actividad física para el tratamiento de la obesidad” study (PRONAF). The PRONAF Study is a clinical research project in nutrition and physical activity programs for overweight and obesity, carried out in Spain (2008-2011). Was designed, in part, to attempt to match the volume and intensity of endurance, strength and combined training protocols in order to evaluate their impact on risk factors and MetS prevalence in overweight and obese people. The design and protocol included three exercise modes (endurance, strength and combined training) and diet restriction, in a randomized controlled trial concerning diverse health status variables. The main variables under investigation were habitual physical activity, markers of body fat, fasting serum levels of insulin, glucose, triglycerides, total, LDL and HDL cholesterol, blood pressure and diet and exercise parameters. Main outcomes. A) The metabolic risk scores studied presented contradictory results in relation to the metabolic risk of an individual, depending on the mathematical method used and the variables included, both in healthy women and overweight adults. B) The protocol proposed for combination of strength and endurance training combined with a balance diet was the optimal strategy for the improvement of MetS risk in overweight adults. C) The intervention program of endurance, strength or combined supervised training protocol with diet restriction did not achieved further improvements in lipid profile than a habitual clinical practice protocol including dietary advice and standard physical activity recommendations, in overweight adults.
Resumo:
La tesis MEDIDAS AUTOSEMEJANTES EN EL PLANO, MOMENTOS Y MATRICES DE HESSENBERG se enmarca entre las áreas de la teoría geométrica de la medida, la teoría de polinomios ortogonales y la teoría de operadores. La memoria aborda el estudio de medidas con soporte acotado en el plano complejo vistas con la óptica de las matrices infinitas de momentos y de Hessenberg asociadas a estas medidas que en la teoría de los polinomios ortogonales las representan. En particular se centra en el estudio de las medidas autosemejantes que son las medidas de equilibrio definidas por un sistema de funciones iteradas (SFI). Los conjuntos autosemejantes son conjuntos que tienen la propiedad geométrica de descomponerse en unión de piezas semejantes al conjunto total. Estas piezas pueden solaparse o no, cuando el solapamiento es pequeño la teoría de Hutchinson [Hut81] funciona bien, pero cuando no existen restricciones falla. El problema del solapamiento consiste en controlar la medida de este solapamiento. Un ejemplo de la complejidad de este problema se plantea con las convoluciones infinitas de distribuciones de Bernoulli, que han resultado ser un ejemplo de medidas autosemejantes en el caso real. En 1935 Jessen y A. Wintner [JW35] ya se planteaba este problema, lejos de ser sencillo ha sido estudiado durante más de setenta y cinco años y siguen sin resolverse las principales cuestiones planteadas ya por A. Garsia [Gar62] en 1962. El interés que ha despertado este problema así como la complejidad del mismo está demostrado por las numerosas publicaciones que abordan cuestiones relacionadas con este problema ver por ejemplo [JW35], [Erd39], [PS96], [Ma00], [Ma96], [Sol98], [Mat95], [PS96], [Sim05],[JKS07] [JKS11]. En el primer capítulo comenzamos introduciendo con detalle las medidas autosemejante en el plano complejo y los sistemas de funciones iteradas, así como los conceptos de la teoría de la medida necesarios para describirlos. A continuación se introducen las herramientas necesarias de teoría de polinomios ortogonales, matrices infinitas y operadores que se van a usar. En el segundo y tercer capítulo trasladamos las propiedades geométricas de las medidas autosemejantes a las matrices de momentos y de Hessenberg, respectivamente. A partir de estos resultados se describen algoritmos para calcular estas matrices a partir del SFI correspondiente. Concretamente, se obtienen fórmulas explícitas y algoritmos de aproximación para los momentos y matrices de momentos de medidas fractales, a partir de un teorema del punto fijo para las matrices. Además utilizando técnicas de la teoría de operadores, se han extendido al plano complejo los resultados que G. Mantica [Ma00, Ma96] obtenía en el caso real. Este resultado es la base para definir un algoritmo estable de aproximación de la matriz de Hessenberg asociada a una medida fractal u obtener secciones finitas exactas de matrices Hessenberg asociadas a una suma de medidas. En el último capítulo, se consideran medidas, μ, más generales y se estudia el comportamiento asintótico de los autovalores de una matriz hermitiana de momentos y su impacto en las propiedades de la medida asociada. En el resultado central se demuestra que si los polinomios asociados son densos en L2(μ) entonces necesariamente el autovalor mínimo de las secciones finitas de la matriz de momentos de la medida tiende a cero. ABSTRACT The Thesis work “Self-similar Measures on the Plane, Moments and Hessenberg Matrices” is framed among the geometric measure theory, orthogonal polynomials and operator theory. The work studies measures with compact support on the complex plane from the point of view of the associated infinite moments and Hessenberg matrices representing them in the theory of orthogonal polynomials. More precisely, it concentrates on the study of the self-similar measures that are equilibrium measures in a iterated functions system. Self-similar sets have the geometric property of being decomposable in a union of similar pieces to the complete set. These pieces can overlap. If the overlapping is small, Hutchinson’s theory [Hut81] works well, however, when it has no restrictions, the theory does not hold. The overlapping problem consists in controlling the measure of the overlap. The complexity of this problem is exemplified in the infinite convolutions of Bernoulli’s distributions, that are an example of self-similar measures in the real case. As early as 1935 [JW35], Jessen and Wintner posed this problem, that far from being simple, has been studied during more than 75 years. The main cuestiones posed by Garsia in 1962 [Gar62] remain unsolved. The interest in this problem, together with its complexity, is demonstrated by the number of publications that over the years have dealt with it. See, for example, [JW35], [Erd39], [PS96], [Ma00], [Ma96], [Sol98], [Mat95], [PS96], [Sim05], [JKS07] [JKS11]. In the first chapter, we will start with a detailed introduction to the self-similar measurements in the complex plane and to the iterated functions systems, also including the concepts of measure theory needed to describe them. Next, we introduce the necessary tools from orthogonal polynomials, infinite matrices and operators. In the second and third chapter we will translate the geometric properties of selfsimilar measures to the moments and Hessenberg matrices. From these results, we will describe algorithms to calculate these matrices from the corresponding iterated functions systems. To be precise, we obtain explicit formulas and approximation algorithms for the moments and moment matrices of fractal measures from a new fixed point theorem for matrices. Moreover, using techniques from operator theory, we extend to the complex plane the real case results obtained by Mantica [Ma00, Ma96]. This result is the base to define a stable algorithm that approximates the Hessenberg matrix associated to a fractal measure and obtains exact finite sections of Hessenberg matrices associated to a sum of measurements. In the last chapter, we consider more general measures, μ, and study the asymptotic behaviour of the eigenvalues of a hermitian matrix of moments, together with its impact on the properties of the associated measure. In the main result we demonstrate that, if the associated polynomials are dense in L2(μ), then necessarily follows that the minimum eigenvalue of the finite sections of the moments matrix goes to zero.
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In recent years, there has been continuing interest in the participation of university research groups in space technology studies by means of their own microsatellites. The involvement in such projects has some inherent challenges, such as limited budget and facilities. Also, due to the fact that the main objective of these projects is for educational purposes, usually there are uncertainties regarding their in orbit mission and scientific payloads at the early phases of the project. On the other hand, there are predetermined limitations for their mass and volume budgets owing to the fact that most of them are launched as an auxiliary payload in which the launch cost is reduced considerably. The satellite structure subsystem is the one which is most affected by the launcher constraints. This can affect different aspects, including dimensions, strength and frequency requirements. In this paper, the main focus is on developing a structural design sizing tool containing not only the primary structures properties as variables but also the system level variables such as payload mass budget and satellite total mass and dimensions. This approach enables the design team to obtain better insight into the design in an extended design envelope. The structural design sizing tool is based on analytical structural design formulas and appropriate assumptions including both static and dynamic models of the satellite. Finally, a Genetic Algorithm (GA) multiobjective optimization is applied to the design space. The result is a Pareto-optimal based on two objectives, minimum satellite total mass and maximum payload mass budget, which gives a useful insight to the design team at the early phases of the design.
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In this paper, Adams explicit and implicit formulas are obtained in a simple way and a relationship between them is established, allowing for their joint implementation as predictor-corrector methods. It is shown the purposefulness, from a didactic point of view, of Excel spreadsheets for calculations and for the orderly presentation of results in the application of Adams methods to solving initial value problems in ordinary differential equations.