One of the most important aspects of preliminary interplanetary mission planning entails designing a trajectory that delivers a spacecraft to the required destinations and accomplishes all the objectives. The design tool described in this thesis allows an investigator to explore various interplanetary trajectories quickly and easily. The design tool employs the patched conic method to determine heliocentric and planetocentric trajectory information. An existing Lambert Targeting routine and other common algorithms are utilized in conjunction with the design tool’s specialized code to formulate an entire trajectory from Earth departure to arrival at the destination. The tool includes many options for the investigator to accurately configure the desired trajectory, including planetary gravity assists, deep space maneuvers, and various departure and arrival conditions. The trajectory design tool is coded in MATLAB, which provides access to three dimensional plotting options and user adaptability. The design tool also incorporates powerful MATLAB optimization functions that adjust trajectory characteristics to find a configuration that yields the minimum spacecraft propellant in the form of change in velocity. / text

O Cálculo Diferencial e Integral é o ramo da matemática no qual um dos objetivos é o estudo do movimento e da variação. Desenvolvido a partir da Álgebra e da Geometria, esse ramo dedica-se ao estudo de taxas de variação de grandezas, como a inclinação de uma reta tangente a uma curva em um dos seus pontos, e a acumulação de quantidades, como a área sob uma curva e o volume de um sólido. Por ser utilizado como uma ferramenta auxiliar em várias áreas das ciências pura e aplicada e, dada a sua aplicabilidade nas mais diversas áreas do conhecimento, é considerado um dos conteúdos mais importantes trabalhado nos cursos superiores. Todavia, no Ensino médio, quando aparece nos livros didáticos, vem embasado no ensino clássico de limites das funções. No presente trabalho, foi apresentada uma proposta que não utilizará o conceito de limite, mas outros conceitos que figuram, mais frequentemente no Ensino Médio, para se discutir uma possível abordagem do ensino de derivadas, aplicado às cônicas. / The differential and integral calculus is a Mathematical field which aims the study of movement and variation. Developed from Algebra and geometry, this field is applied to the study of magnitude variation taxes, like the inclination of a tangent line to a curve in one of its points, and the accumulation of quantities, like the area underneath a curve and the volume of a solid. Because its used as an aid tool in several fields of pure and applied sciences and, due to its applicability in many varied areas of knowledge, its considered one of the most important worked contents in higher education. However, in High School, when it comes in didactic material, its grounded in the classic limit of functions. In this present work, it was presented a proposal which will not use the concept of limit, but others concepts that appear, more often in High School, to discuss a possible approach of derivatives teaching, applied to conics.

The Conics of Apollonius remains a central work of Greek mathematics to this day. Despite this, much recent scholarship has neglected the Conics in favor of works of Archimedes. While these are no less important in their own right, a full understanding of the Greek mathematical corpus cannot be bereft of systematic studies of the Conics. However, recent scholarship on Archimedes has revealed that the role of secondary commentaries is also important. In this thesis, I provide a translation of Eutocius' commentary on the Conics, demonstrating the interplay between the two works and their authors as what I call conjugate. I also give a treatment on the duplication problem and on compound ratios, topics which are tightly linked to the Conics and the rest of the Greek mathematical corpus. My discussion of the duplication problem also includes two computer programs useful for visualizing Archytas' and Eratosthenes' solutions.

Supply chain network design involves location decisions for production facilities and distribution centers. We consider a make-to-order supply chain environment where distribution centers serve as crossdocking terminals. Long waiting times may occur at a cross-docking terminal, unless sucient handling capacity is installed. In this study, we deal with a facility location problem with congestion eects at distribution centers. Along with location decisions, we make capacity allocation (service rate) and demand allocation decisions so that the total cost, including facility opening, transportation and congestion costs, is minimized. Response time to customer orders is a critical performance measure for a supply chain network. The decisions like where the plants and distribution centers are located aect the response time of the system. Response time is more sensitive to these decisions in a make-to-order business environment. In a distribution network where distribution centers function as cross-docking terminals, capacity or the service rate decisions also aect the response time performance. This study is closely related to a recent work Vidyarthi et al. (2009) which models distribution centers asM/G/1 queuing systems. They use the average waiting time formula ofM/G/1 queuing model. Thus, the average waiting time at a distribution center is a nonlinear function of the demand rate allocated to and the service rate available at the distribution center. The authors Vidyarthi et al. (2009) propose a linear approximation approach and a Lagrangian based heuristic for the problem. Dierent than the solution approach proposed in Vidyarthi et al. (2009), we propose a closed form formulation for the problem. In particular, we show that the waiting time function derived from M/G/1 queuing model can be represented via second order conic inequalities. Then, the problem becomes a mixed integer second order cone programming problem which can be solved by using commercial branch-and-bound software such as IBM ILOG CPLEX. Our computational tests show that proposed reformulation can be solved in reasonable CPU times for practical size instances.

Reproduction de : Thèse de docteur-ingénieur : mathématiques : Grenoble 1 : 1956. / Titre provenant de l'écran-titre. Bibliogr. p. 91.

No description available.

O Cálculo Diferencial e Integral é o ramo da matemática no qual um dos objetivos é o estudo do movimento e da variação. Desenvolvido a partir da Álgebra e da Geometria, esse ramo dedica-se ao estudo de taxas de variação de grandezas, como a inclinação de uma reta tangente a uma curva em um dos seus pontos, e a acumulação de quantidades, como a área sob uma curva e o volume de um sólido. Por ser utilizado como uma ferramenta auxiliar em várias áreas das ciências pura e aplicada e, dada a sua aplicabilidade nas mais diversas áreas do conhecimento, é considerado um dos conteúdos mais importantes trabalhado nos cursos superiores. Todavia, no Ensino médio, quando aparece nos livros didáticos, vem embasado no ensino clássico de limites das funções. No presente trabalho, foi apresentada uma proposta que não utilizará o conceito de limite, mas outros conceitos que figuram, mais frequentemente no Ensino Médio, para se discutir uma possível abordagem do ensino de derivadas, aplicado às cônicas. / The differential and integral calculus is a Mathematical field which aims the study of movement and variation. Developed from Algebra and geometry, this field is applied to the study of magnitude variation taxes, like the inclination of a tangent line to a curve in one of its points, and the accumulation of quantities, like the area underneath a curve and the volume of a solid. Because its used as an aid tool in several fields of pure and applied sciences and, due to its applicability in many varied areas of knowledge, its considered one of the most important worked contents in higher education. However, in High School, when it comes in didactic material, its grounded in the classic limit of functions. In this present work, it was presented a proposal which will not use the concept of limit, but others concepts that appear, more often in High School, to discuss a possible approach of derivatives teaching, applied to conics.

This thesis introduces the p-adic metric on the rational numbers. We then present the basic properties of this metric. Using this metric, we explore conic sections, viewed as equidistant sets. Lastly, we move on the sequences and series, and from there, we define p-adic expansions and the analytic completion of Q with respect to the p-adic metric, which leads to exploring some arithmetic properties of Qp.

The research presented in this thesis focuses on the use of feedback control for lowering acoustic levels within launch vehicle payload fairings. Due to the predominance of conical geometries within payload fairings, our work focused on the analytical modeling of conical shrouds using modal and impedance based models. Incorporating an actuating boundary condition within a sealed enclosure, resonant frequencies and mode shapes were developed as functions of geometric and mechanical parameters of the enclosure and the actuator. Using a set of modal approximations, a set of matrix equations have been developed describing the homogeneous form of the wave equation. Extending to impedance techniques, the resonant frequencies of the structure were again calculated, providing analytical validation of each model. Expanding this impedance model to first order form, the acoustic model has been coupled with actuator dynamics yielding a complete model of the system relating pressure to control voltage. Using this coupled state-space model, control design using Linear Quadratic Regulator and Positive Position Feedback techniques has also been presented. Using the properties of LQR analysis, an analytical study into the degree of coupling between actuator and cavity as a function of actuator resonance has been conducted. Constructing an experimetnal test-bed for model validation and control implementation, a small sealed enclosure was built and outfitted with sensors. Placing a control speaker at the small end of the cone the large opening was sealed with a rigid termination. An internal acoustic source was used to excite the system and pressure measurements were captured using an array of microphones located throughout the conic section. Using the parameters of this experimental test-bed, comparisons were made between LQR and PPF control designs. Using an impulse disturbance to excite the system, LQR simulations predicted reductions of 53.2% below those of the PPF design, while the control voltages corresponding to these reductions were 43.8% higher for LQR control. Actual application of these control designs showed that the ability to manually set PPF gains made this design technique much more convenient for actual implementation. Yielding overall attenuation of 38% with control voltages below 200 mV, single-channel low authority control was seen to be an effective solution for low frequency noise reduction. Control was then expanded to a larger geometry representative of Minotaur fairings. Designing strictly from experimental results, overall reductions of 38.5% were observed. Requiring slightly larger control voltages than those of the conical cavity, peak voltages were still found to be less than 306 mV. Extrapolating to higher excitation levels of 140 dB, overall power requirements for 38.5% pressure reductions were estimated to be less than 16 W. / Master of Science

Made available in DSpace on 2016-07-27T13:48:14Z (GMT). No. of bitstreams: 1 Onyemauche Cletus Chukwujioke.pdf: 707570 bytes, checksum: e8336f4c215c4c3914644310ebd1836d (MD5) Previous issue date: 2005-09-20 / The theme Eucharist and its symbolisms are treated in this work as the central point. However, the Eucharist and symbolisms treated not as separated theme but in the ecumenical context. Once ecumenism and its different ramifications are too vast, the concentration will be only around the churches that are members of National council of Christian churches of Brazil (CONIC). Here are the names of the churches that are members of CONIC; The Roman Catholic church, Catholic Orthodox church of Sirian, The reformed Christian Church, Episcopal Anglican Church of Brazil, Evangelical church of Lutheran Confession of Brazil and the Presbyterian United Church. Eucharist is the center of Christian faith surviving in the midst of plurality of believes in Brazil. Will it be possible one day seeing the Christians celebrating the Lord s Supper around one altar? According to one of the persons we interviewed, when this type of celebration happens, then it will not be called anymore the ecumenical celebration but fulfillment of the Jesus dreams. May they all be one, just as you, father, you are in me and I am in you . / O ponto central deste trabalho é a eucaristia e o simbolismo. Contudo, a eucaristia e o simbolismo não como tema elaborado isoladamente, mas no contexto do ecumenismo. Uma vez que o sentido da palavra ecumenismo, em suas ramificações, é bastante grande, o aspecto ecumênico da eucaristia aparece somente naquelas igrejas que fazem parte do Conic. As denominações cristãs que compõem o Conic são as seguintes: Igreja Católica Romana, Igreja Católica Ortodoxa Siriana, Igreja Cristã Reformada, Igreja Episcopal Anglicana do Brasil (IEAB), Igreja Metodista, Igreja Evangélica de Confissão Luterana no Brasil (IECLB) e Igreja presbiteriana Unida (IPU). O ponto central da fé cristã é a eucaristia, a fé cristã existente no meio de uma pluralidade de outras crenças no Brasil. Será possível que um dia todos os cristãos celebrarão a Ceia do Senhor ao redor de uma única mesa? Segundo um dos entrevistados deste trabalho, quando esta celebração única acontecer, ela não será mais uma celebração ecumênica, mas uma plena realização do sonho do Jesus: A fim de que todos sejam um .