Complex frontiers

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  • The present book contains fifteen contributions on various topics related to Number Theory, Physics and Geometry. It presents, together with a forthcoming second volume, most of the courses and seminars delivered at the meeting entitled “Frontiers in Number Theory, Physics and Geometry”, which took place at the Centre de Physique des Houches in the french Alps March 9-21, 2003.

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  • First placed on the market in 1939, the design of PID controllers remains a challenging area that requires new approaches to solving PID tuning problems while capturing the effects of noise and process variations. The augmented complexity of modern applications concerning areas like automotive applications, microsystems technology, pneumatic mechanisms, dc motors, industry processes, require controllers that incorporate into their design important characteristics of the systems.

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  • The current control problems present natural trend of increasing its complexity due to performance criteria that is becoming more sophisticated. The necessity of practicers and engineers in dealing with complex dynamic systems has motivated the design of controllers, whose structures are based on multiobjective constraints, knowledge from expert, uncertainties, nonlinearities, parameters that vary with time, time delay conditions, multivariable systems, and others.

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  • The current control problems present natural trend of increasing its complexity due to performance criteria that is becoming more sophisticated. The necessity of practicers and engineers in dealing with complex dynamic systems has motivated the design of controllers, whose structures are based on multiobjective constraints, knowledge from expert, uncertainties, nonlinearities, parameters that vary with time, time delay conditions, multivariable systems, and others.

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  • Brain morphology is in constant change from the very beginning of the neurodevelopment in human beings. The characterization of the brain morphology and its biological implications on a specific subject is a complex task which requires efficient computational approaches. Radiology has traditionally assessed the main brain changes in different alterations from a macroscopic point of view, thus, not considering subtle changes as a results of neuronal plasticity.

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  • As a mathematician one is accustomed to many things. Hardly any other academics encounter as much prejudice as we do. To most people, mathematics is the most colourless of all school subjects - incomprehensible, boring, or just terribly dry. And presumably, we mathematicians must be the same, or at least somewhat strange. We deal with a subject that (as everyone knows) is actually complete. Can there still be anything left to find out? And if yes, then surely it must be totally uninteresting, or even superfluous....

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  • By the end of the lesson, the students are able to skim for general ideas. By the end of the lesson, the students are able to scan for specific details. Lexical items : - propose - excursion - complex - vast - domed structure - frontier.

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  • Relentless assaults on the frontiers of CMOS technology over several decades have produced a marvel of a technology. The world we live in has been changed by complex integrated circuits now containing a billion transistors with line widths of less than 100 nm, fabricated in plants costing several billion dollars. This microelectronics revolution was made possible only through the dedication and ingenuity of many specialized experts with detailed knowledge of their crafts.

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  • Lewis Thomas, in his semi-autobiographical book The Youngest Science: Notes of a Medicine-Watcher, reminisced about his father, an internist in the early twentieth century who would sit by his patient, holding his hand while nature affected the cure. There was little else he could offer. Now, after almost 100 years, we have crossed vast frontiers in medicine, from hormones to the immune system to unlocking the promise of genomics. We have relegated diseases such as erythroblastosis to the history books and transformed AIDS from a death sentence to a chronic illness.

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