Advanced global optimisation for mission analysis and design

This report describes the analysis and development of novel tools for the global optimisation of relevant mission design problems. A taxonomy was created for mission design problems, and an empirical analysis of their optimisational complexity performed - it was demonstrated that the use of global optimisation was necessary on most classes and informed the selection of appropriate global algorithms. The selected algorithms were then applied to the di®erent problem classes: Di®erential Evolution was found to be the most e±cient. Considering the speci¯c problem of multiple gravity assist trajectory design, a search space pruning algorithm was developed that displays both polynomial time and space complexity. Empirically, this was shown to typically achieve search space reductions of greater than six orders of magnitude, thus reducing signi¯cantly the complexity of the subsequent optimisation. The algorithm was fully implemented in a software package that allows simple visualisation of high-dimensional search spaces, and e®ective optimisation over the reduced search bounds.

Acompañando e intensificando la información entrante en el explorar generativo

Los llamados procesos creativos en general, y los del proyectar arquitectónico en particular, mantienen aproximaciones hacia el objeto centradas principalmente en el procedimiento, es decir, en lo estratégico, lo metodológico o/y lo paradigmático. En ellas, además, el potencial de información no suele ser completo ni contemplado o, si lo ha sido, de manera inconciente, o referido de nuevo a lo procedimental. Igualmente, se centra el interés de estas aproximaciones, o en el objeto propuesto o resultado, o en lo procesal, pero sin atender a su constitución, es decir, a la información misma. Por tanto, y como reclama la física, la base constituyente informacional de estas aproximaciones, no ha sido considerada hasta ahora, ni se ha intentado sistematizar. Junto a esta omisión, estos acercamientos no permiten que cada humano configure de manera autónoma, independiente e íntegramente su propio proceso pues, los comentados procedimientos, están apoyados en marcos contextuales, culturales o/y procesales, reflejando así una orientación limitada en espacio-tiempo. Es así que se propone una potencia, o “aquellas cualidades poseídas por las cosas en cuya virtud éstas son totalmente impasibles o inmutables, o no se dejan cambiar fácilmente…”, según la define Aristóteles en “Metafísica”, como la posibilidad de, a la vez, aludir a un abanico informacional completo y apuntar hacia la íntegra elaboración de un proceso personal propio. Desde lo informacional, que a su vez es energético dependiendo de la disciplina científica considerada, se diferencian, en primer lugar, unos atributos o términos mínimos, que son unas potencias que compendian el abanico informacional completo. Es decir, son mínimos máximos. Estos atributos forman la fase cualitativa de la información a la que se llama acompañamiento. En segundo lugar, y apoyado tanto en el funcionamiento cerebral, en el espacio-tiempo cuántico, como en los nuevos experimentos e investigaciones de la biología, la física y la neurociencia en especial, se abren líneas nuevas para acceder a la información, antes contemplada de manera lineal, local y como entidad separada. Por ello, esta segunda aproximación presenta una potencia de intensificación de datos, que permite un aumento de los mismos en el cerebro y, por ello, la posibilidad de evitar el problema del “papel en blanco”. A esta fase se la nombra promoción. En tercer lugar, ambas fases constituyen la generación como propuesta de tesis, siendo la misma un cambio de cualquier tipo en el que alguien es agente de algo, específicamente, cuando un humano es mediador entre sucesos. Fusionando ambas, se añade simultáneamente una con-formación potencial global, que es sinérgicamente más que la suma de las dos anteriores. De esta manera agrupadora, y con objeto de materializar y sistematizar ahora esta generación o potencia, se presenta una puesta en práctica. Para ello, se desarrolla un modelo analítico-geométrico-paramétrico y se expone su aplicación en dicho caso práctico. Además, dicho modelo presenta un funcionamiento autorreferido u holográfico, reflejando tanto a los estudios científicos revisados, como al propio funcionamiento de los atributos o/y de todas las potencias que se presentan en esta investigación. ABSTRACT Generally speaking the so-called creative processes, and particularly those of the architectural design, keep approaches into the object oriented mainly in the process, so to speak, into the strategical, the methodological and/ or into the paradigmatic. In addition, they don’t usually take into account the potential of information neither in a complete manner nor even contemplated or, if considered, worked out unconsciously, or referred back to the procedural. Similarly, the interest of these approaches is focused either in the proposed object or the output, or in the processual, but leaving their constituent out, being it the information itself. Therefore, as physics is claiming nowadays, the constituent core of these approaches have neither been taken into account so far, nor tried to systematize. Along with this omission, these approaches do not allow each human being to set up autonomously, independently and entirely her/ his own process, because the mentioned procedures are supported by contextual, cultural and/ or procedural frameworks, reflecting then a perspective limited in space-time. Thus a potency is proposed, or "those qualities possessed by things under which they are totally impassive or immutable, or are not easily changed...", as defined by Aristotle in "Metaphysics", as the possibility to, and at the same time, alluding to a full informational range and point out to a whole development of an own personal process. From the informational stand, which in turn is energetic depending on the scientific discipline considered, it is distinguished, in the first place, a minimum set of attributes or terms, which are potencies that summarize the full informational range. That is, they are maximum minimums. These attributes build up the qualitative phase of the information being called accompaniment. Secondly, and supported in the brain functioning, in quantum space-time, as in new experiments and research carried out by biology, physics and neuroscience especially, new lines to access information are being opened, being contemplated linearly, locally and as a detached entity before. Thus, this second approach comes up with a potency of data`s intensifying that allows an increase in the brain thereof and, therefore, the possibility of avoiding the problem of "the blank paper". Promotion is how this phase is appointed. In the third place, both phases form the generation as the dissertation proposal, being it a change of any kind in which someone is the agent of something, specifically, when a human being is the mediator in between events. Fusing both of them, a global potential formation-with is added simultaneously, which is synergistically greater than the sum of the previous two. In this grouping way, and now in order to materialize and systemize this generation or potency, an implementation is displayed. To this end, an analytical-geometrical-parametrical model is developed and put into practice as a case study. In addition, this model features a self-referral or holographic functioning, being aligned to both scientific reviewed studies, and the very functioning either of the attributes and/ or all the potencies that are introduced in this research.

Espacios máximos con recursos mínimos : edificio Central Lechera CLESA, Alejandro de la Sota

La tesis aborda el estudio de la Central lechera CLESA, uno de los edificios industriales de Alejandro de la Sota más significativos de la década de los años cincuenta en España. Las centrales lecheras fueron abordadas por Sota en distintas ocasiones entre 1955 y 1969, siendo CLESA la única de todas ellas que llega a construirse. Se trata de uno de los exponentes más brillantes de la arquitectura moderna industrial española de la posguerra, incluido en "La arquitectura de la industria, REGISTRO DOCOMOMO IBÉRICO”1 entre la veintena de edificios seleccionados de la arquitectura madrileña de este periodo. Plantea una solución singular para alcanzar la diafanidad exigida en la implantación del proceso de producción. La estructura de las naves se realiza con hormigón pretensado, siendo uno de los pioneros en la utilización de esta técnica. La hipótesis de partida considera la realidad del proyecto construido como respuesta desde la arquitectura a un programa industrial resuelto con sencillez, que partiendo de una economía de recursos que le es inherente, consigue desde la coherencia del planteamiento, soluciones donde la complejidad espacial constituye una respuesta eficaz y del máximo interés. Los objetivos de esta tesis son contribuir a un conocimiento riguroso del edificio, que permita descubrir la particularidad de su entramado espacial y el interés de las soluciones adoptadas en su configuración final, en aras de contrastar su calidad arquitectónica. El edificio de la Central Lechera CLESA, si bien es un edificio muy conocido, lo es de una manera superficial. Aparece en numerosas publicaciones, en muchas ocasiones formando parte de un relato extenso de la obra de su autor. El libro monográfico publicado en 2007 por la Fundación Alejandro de la Sota, cuya edición está a cargo de Teresa Couceiro, es la única publicación específica sobre él. Tras una breve introducción, en la que se destaca la intensa dedicación de Sota a esta obra, reúne una colección de planos, fotografías y croquis, junto a la memoria del proyecto. Ofrece una visión fragmentada, que permite vislumbrar el interés de esta obra, pero no facilita comprenderla en su integridad. Es importante destacar la publicación de CLESA en el libro editado por Pronaos (1989), que incluye una selección, realizada por el autor, de plantas, alzados y secciones que corresponden al proyecto construido junto a fotografías de la obra terminada, además de un breve texto tan conciso como esclarecedor. Sobre Alejandro de la Sota se han escrito, tesis doctorales, numerosos artículos, varios libros así como realizado exposiciones que recogen su obra global, reflejados en este documento en las consiguientes bibliografías específicas. Cabe destacar la exposición realizada en la sede del COAM en 2014, con ocasión de su centenario, que el edificio CLESA protagoniza en cierto modo, por su riesgo de desaparición.2 La tesis se estructura en cuatro capítulos: descripción, análisis, síntesis y conclusiones. El primer capítulo contempla la descripción del edificio objeto de la tesis, con una introducción que nos sitúa en el contexto histórico, económico, cultural y social en el que se desarrolla el encargo, proyecto y obra de la central lechera. La descripción propiamente dicha del conjunto industrial, partiendo del encargo de la central lechera al autor del proyecto, pasando por el anteproyecto, el proyecto visado y llegando a la obra realizada. Se compara el proyecto visado, la obra terminada y la CLESA publicada, así como el devenir del edificio. La segunda parte corresponde al análisis, en primer lugar desde el programa como planteamiento general, estudiando las circulaciones, relaciones espaciales, geométricas, esqueléticas, geográficas -parte a parte- que integran el conjunto de la central. La estructura, introducción explicativa de las soluciones adoptadas por Alejandro de la Sota; análisis del sistema esquelético del edificio por partes, operaciones geométricas y espaciales. Construcción, análisis de la materialización de la obra, sistemas constructivos empleados en cerramientos, cubiertas, lucernarios; de lo general a lo particular, estudiando los sistemas. Finalmente a través de la pequeña escala se compendian elementos singulares que forman parte de sistemas complejos, como las múltiples escaleras, barandillas, carpinterías, miradores. Se recapitula en una síntesis que configura un todo con la suma de las partes, mediante la utilización de recursos de enlace de esa arquitectura aditiva, como es el módulo, los recorridos y los enlaces visuales. El capítulo final de Conclusiones contrasta la hipótesis de partida de la tesis en cuanto a una arquitectura de espacios máximos con recursos mínimos. Recoge también diversas reflexiones como la dialéctica entre el espacio fragmentado y el espacio único; crecimiento expansivo o inclusivo; imagen singular y representación; escala doméstica y escala industrial; renuncias estructurales o limitaciones de medios. Quizás, el mayor interés de esta tesis reside los dibujos realizados en axonométrica del complejo CLESA, que han permitido restituir y reconstruir idealmente la fábrica al inicio de su actividad. Teniendo en cuenta su posible desaparición total o parcial, esta restitución cobra relevancia como testimonio de lo que fue. ABSTRACT The thesis deals with the study of CLESA's Dairy Plant, one of the most significant industrial buildings of the Decade of the fifties in Spain, by Alejandro de la Sota. The Dairies were addressed by Sota at various occasions between 1955 and 1969, being the CLESA plant the only one that is has been built. This is one of the most brilliant exponents of Spanish industrial post-war modern architecture, included in "The architecture industry, IBERIAN DOCOMOMO RECORD"3 between the score of selected buildings of Madrid architecture of this period. It poses a singular solution to achieve the openness of the space required in the implementation of the manufacturing process. The structure of the nave is done with prestressed concrete, being one of the pioneers in the use of this technique. The initial hypothesis considers the reality of the project built from the architecture in response to an industrial program solved with simplicity, that from a resource economy that is inherent, gets from the consistency of the approach, solutions where the space complexity is an effective response of great interest. The objectives of this thesis are to contribute to a rigorous knowledge of the building, which allows to discover the particularity of its space lattice and the interest of the solutions adopted in its final configuration, in order to contrast its architectural quality. The building of the Central Lechera CLESA, despite it is a well known building, is in a superficial way. It appears in several publications, often as part of an extensive account of the work of its author. The monograph published in 2007 by the Foundation Alejandro de la Sota, whose edition is run by Teresa Couceiro, is the only specific publication about it. After a brief introduction, in which Sota's intense dedication to this work stands out, it brings together a collection of drawings, photographs and sketches, along with the project report. It offers a fragmented view, which enable to glimpse the interest of this work, but not helps to understand it in full. It is important to highlight the publication of CLESA in the book edited by Pronaos (1989), which includes a selection made by the author of plants, elevations and sections corresponding to the project built, next to photographs of the finished construction, in addition to a brief text as concise as enlightening. About Alejandro de la Sota have been written doctoral thesis, numerous articles, several books as well as held exhibitions collecting his global work, which have been reflected in this document in the resulting specific bibliographies. It should be noted the exhibition in COAM headquarters in 2014, on the occasion of its Centennial, where the building CLESA has a leading role, in a certain way, because of its risk of disappearance.4 The thesis is structured in four chapters: description, analysis, synthesis, and conclusions. The first chapter provides the description of the building object of this thesis. Includes an introduction that puts us in the historic, economic, cultural and social context in which it is developed the commission, the project and construction of the dairy building. The description itself of the industrial complex, starts with the order of the dairy to the author of the project, moves through the draft, the visa project and reaches the completion of the work. The visa project, CLESA's finished and published work, as well as the future of the building is compared. The second part corresponds to the analysis, first from the program as a general approach, studying the circulations, geometric, spatial, skeletal, geographical relations - bit by bit - comprising the manufacturing plant ("la central"). The structure, explanatory introduction of the solutions adopted by Alejandro de la Sota; analysis of the skeletal system of the building by parts, geometric and spatial operations. Construction, analysis of the realization of the work, constructive systems used in the building enclosures, roofs, skylights; from the general to the particular and studying the systems. Finally through small scale unique elements that are part of complex systems, such as multiple stairs, railings, carpentry, viewpoints are summarized. It is recapitulated in a synthesis which forms a whole with the sum of the parts, using linking resources that belongs to the additive architecture, such as the module, tours and visual links The final chapter of Conclusions contrast the hypothesis of the thesis regarding the maximum space architecture with minimal resources. It also includes various reflections as the dialectic between the fragmented space and the single space; expansive or inclusive growth; unique image and representation; domestic and industrial scale; structural abandonment or limitation of means. Perhaps the greatest interest of this thesis lies in the axonometric drawings made of the CLESA complex, which ideally have allowed to restore and rebuild the factory back to the beginning of its activity. Considering its potential full or partial disappearance, such recovery becomes relevant as a testimonial evidence of what it was.

Realization of Differentiated Quality of Service for Wideband Code Division Multiple Access Core Network

The development of 3G (the 3rd generation telecommunication) value-added services brings higher requirements of Quality of Service (QoS). Wideband Code Division Multiple Access (WCDMA) is one of three 3G standards, and enhancement of QoS for WCDMA Core Network (CN) becomes more and more important for users and carriers. The dissertation focuses on enhancement of QoS for WCDMA CN. The purpose is to realize the DiffServ (Differentiated Services) model of QoS for WCDMA CN. Based on the parallelism characteristic of Network Processors (NPs), the NP programming model is classified as Pool of Threads (POTs) and Hyper Task Chaining (HTC). In this study, an integrated programming model that combines both of the two models was designed. This model has highly efficient and flexible features, and also solves the problems of sharing conflicts and packet ordering. We used this model as the programming model to realize DiffServ QoS for WCDMA CN. ^ The realization mechanism of the DiffServ model mainly consists of buffer management, packet scheduling and packet classification algorithms based on NPs. First, we proposed an adaptive buffer management algorithm called Packet Adaptive Fair Dropping (PAFD), which takes into consideration of both fairness and throughput, and has smooth service curves. Then, an improved packet scheduling algorithm called Priority-based Weighted Fair Queuing (PWFQ) was introduced to ensure the fairness of packet scheduling and reduce queue time of data packets. At the same time, the delay and jitter are also maintained in a small range. Thirdly, a multi-dimensional packet classification algorithm called Classification Based on Network Processors (CBNPs) was designed. It effectively reduces the memory access and storage space, and provides less time and space complexity. ^ Lastly, an integrated hardware and software system of the DiffServ model of QoS for WCDMA CN was proposed. It was implemented on the NP IXP2400. According to the corresponding experiment results, the proposed system significantly enhanced QoS for WCDMA CN. It extensively improves consistent response time, display distortion and sound image synchronization, and thus increases network efficiency and saves network resource.^

SCALABLE APPROXIMATION OF KERNEL FUZZY C-MEANS

Virtually every sector of business and industry that uses computing, including financial analysis, search engines, and electronic commerce, incorporate Big Data analysis into their business model. Sophisticated clustering algorithms are popular for deducing the nature of data by assigning labels to unlabeled data. We address two main challenges in Big Data. First, by definition, the volume of Big Data is too large to be loaded into a computer’s memory (this volume changes based on the computer used or available, but there is always a data set that is too large for any computer). Second, in real-time applications, the velocity of new incoming data prevents historical data from being stored and future data from being accessed. Therefore, we propose our Streaming Kernel Fuzzy c-Means (stKFCM) algorithm, which reduces both computational complexity and space complexity significantly. The proposed stKFCM only requires O(n2) memory where n is the (predetermined) size of a data subset (or data chunk) at each time step, which makes this algorithm truly scalable (as n can be chosen based on the available memory). Furthermore, only 2n2 elements of the full N × N (where N >> n) kernel matrix need to be calculated at each time-step, thus reducing both the computation time in producing the kernel elements and also the complexity of the FCM algorithm. Empirical results show that stKFCM, even with relatively very small n, can provide clustering performance as accurately as kernel fuzzy c-means run on the entire data set while achieving a significant speedup.

Quantum and pseudoclassical descriptions of nonrelativistic spinning particles in noncommutative space

We construct a nonrelativistic wave equation for spinning particles in the noncommutative space (in a sense, a theta modification of the Pauli equation). To this end, we consider the nonrelativistic limit of the theta-modified Dirac equation. To complete the consideration, we present a pseudoclassical model (a la Berezin-Marinov) for the corresponding nonrelativistic particle in the noncommutative space. To justify the latter model, we demonstrate that its quantization leads to the theta-modified Pauli equation. We extract theta-modified interaction between a nonrelativistic spin and a magnetic field from such a Pauli equation and construct a theta modification of the Heisenberg model for two coupled spins placed in an external magnetic field. In the framework of such a model, we calculate the probability transition between two orthogonal Einstein-Podolsky-Rosen states for a pair of spins in an oscillatory magnetic field and show that some of such transitions, which are forbidden in the commutative space, are possible due to the space noncommutativity. This allows us to estimate an upper bound on the noncommutativity parameter.

Quantum mechanics as an approximation to classical mechanics in Hilbert space

Classical mechanics is formulated in complex Hilbert space with the introduction of a commutative product of operators, an antisymmetric bracket and a quasidensity operator that is not positive definite. These are analogues of the star product, the Moyal bracket, and the Wigner function in the phase space formulation of quantum mechanics. Quantum mechanics is then viewed as a limiting form of classical mechanics, as Planck's constant approaches zero, rather than the other way around. The forms of semiquantum approximations to classical mechanics, analogous to semiclassical approximations to quantum mechanics, are indicated.

Quantum phase-space analysis of the pendular cavity

We perform a quantum-mechanical analysis of the pendular cavity, using the positive-P representation, showing that the quantum state of the moving mirror, a macroscopic object, has noticeable effects on the dynamics. This system has previously been proposed as a candidate for the quantum-limited measurement of small displacements of the mirror due to radiation pressure, for the production of states with entanglement between the mirror and the field, and even for superposition states of the mirror. However, when we treat the oscillating mirror quantum mechanically, we find that it always oscillates, has no stationary steady state, and exhibits uncertainties in position and momentum which are typically larger than the mean values. This means that previous linearized fluctuation analyses which have been used to predict these highly quantum states are of limited use. We find that the achievable accuracy in measurement is fat, worse than the standard quantum limit due to thermal noise, which, for typical experimental parameters, is overwhelming even at 2 mK

On high-rate full-diversity 2x2 space-time codes with low-complexity optimum detection

The 2×2 MIMO profiles included in Mobile WiMAX specifications are Alamouti’s space-time code (STC) fortransmit diversity and spatial multiplexing (SM). The former hasfull diversity and the latter has full rate, but neither of them hasboth of these desired features. An alternative 2×2 STC, which is both full rate and full diversity, is the Golden code. It is the best known 2×2 STC, but it has a high decoding complexity. Recently, the attention was turned to the decoder complexity, this issue wasincluded in the STC design criteria, and different STCs wereproposed. In this paper, we first present a full-rate full-diversity2×2 STC design leading to substantially lower complexity ofthe optimum detector compared to the Golden code with only a slight performance loss. We provide the general optimized form of this STC and show that this scheme achieves the diversitymultiplexing frontier for square QAM signal constellations. Then, we present a variant of the proposed STC, which provides a further decrease in the detection complexity with a rate reduction of 25% and show that this provides an interesting trade-off between the Alamouti scheme and SM.

Quantum Tomography with Phase Space Measurements

This thesis addresses the use of covariant phase space observables in quantum tomography. Necessary and sufficient conditions for the informational completeness of covariant phase space observables are proved, and some state reconstruction formulae are derived. Different measurement schemes for measuring phase space observables are considered. Special emphasis is given to the quantum optical eight-port homodyne detection scheme and, in particular, on the effect of non-unit detector efficiencies on the measured observable. It is shown that the informational completeness of the observable does not depend on the efficiencies. As a related problem, the possibility of reconstructing the position and momentum distributions from the marginal statistics of a phase space observable is considered. It is shown that informational completeness for the phase space observable is neither necessary nor sufficient for this procedure. Two methods for determining the distributions from the marginal statistics are presented. Finally, two alternative methods for determining the state are considered. Some of their shortcomings when compared to the phase space method are discussed.

The Hilbert space of the Chern-Simons theory on a cylinder: a loop quantum gravity approach

As a laboratory for loop quantum gravity, we consider the canonical quantization of the three-dimensional Chern-Simons theory on a noncompact space with the topology of a cylinder. Working within the loop quantization formalism, we define at the quantum level the constraints appearing in the canonical approach and completely solve them, thus constructing a gauge and diffeomorphism invariant physical Hilbert space for the theory. This space turns out to be infinite dimensional, but separable.

The low-lying electronic states of BeP: a reliable and accurate quantum mechanical prediction

A very high level of theoretical treatment (complete active space self-consistent field CASSCF/MRCI/aug-cc-pV5Z) was used to characterize the spectroscopic properties of a manifold of quartet and doublet states of the species BeP, as yet experimentally unknown. Potential energy curves for 11 electronic states were obtained, as well as the associated vibrational energy levels, and a whole set of spectroscopic constants. Dipole moment functions and vibrationally averaged dipole moments were also evaluated. Similarities and differences between BeN and BeP were analysed along with the isovalent SiB species. The molecule BeP has a X (4)Sigma(-) ground state, with an equilibrium bond distance of 2.073 angstrom, and a harmonic frequency of 516.2 cm(-1); it is followed closely by the states (2)Pi (R(e) = 2.081 angstrom, omega(e) = 639.6 cm(-1)) and (2)Sigma(-) (R(e) = 2.074 angstrom, omega(e) = 536.5 cm(-1)), at 502 and 1976 cm(-1), respectively. The other quartets investigated, A (4)Pi (R(e) = 1.991 angstrom, omega(e) = 555.3 cm(-1)) and B (4)Sigma(-) (R(e) = 2.758 angstrom, omega(e) = 292.2 cm(-1)) lie at 13 291 and 24 394 cm(-1), respectively. The remaining doublets ((2)Delta, (2)Sigma(+)(2) and (2)Pi(3)) all fall below 28 000 cm(-1). Avoided crossings between the (2)Sigma(+) states and between the (2)Pi states add an extra complexity to this manifold of states.

Momentum-space non-hydrogenic wavefunction of quantum defect theory

We derive a closed-form analytic expression in momentum space for the asymptotic non-hydrogenic wavefunction of the quantum defect theory (QDT) due to Seaton and compare it with a widely used QDT-approximate wavefunction for the Rydberg states Li-3(2s), Mg-24(6s) and Rb-37(5s).