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L’algèbre linéaire permet de résoudre les équations dites linéaires utilisées en mathématiques, en informatique, en mécanique, en sciences naturelles ou en sciences sociales. Du point de vue de l’informaticien, la résolution passe par l’ordinateur. Or, ce dernier ne peut pas tout faire. Il y a des limites d’ordre qualitatives et quantitatives que la machine ne peut dépasser, et d’autres qu’elle ne peut franchir que dans un temps excessivement long. Cet ouvrage théorique et pratique expose tour à tour : – les matrices et leurs opérations ; – l’espace vectoriel Rn ; – l’espace vectoriel Rn muni du produit scalaire ; – les systèmes d’équations linéaires ; – les transformations linéaires, les valeurs et vecteurs propres. Il contient également un chapitre spécifique sur la complexité théorique des problèmes posés en algèbre linéaire (résolution d’un système d’équations linéaires, calcul de l’inverse d’une matrice, du déterminant, du rang, etc.) ainsi qu’une annexe introduisant la théorie de la complexité. Algèbre linéaire dans Rn tire son originalité de la présentation des grands concepts de l’algèbre linéaire et ceux de l’algorithmique et de l’informatique théorique. L’auteur, Salim Haddadi, est professeur en recherche opérationnelle. Ses recherches portent sur l’optimisation combinatoire et la théorie de la complexité.
The generalized area of multiple criteria decision making (MCDM) can be defined as the body of methods and procedures by which the concern for multiple conflicting criteria can be formally incorporated into the analytical process. MCDM consists mostly of two branches, multiple criteria optimization and multi-criteria decision analysis (MCDA). While MCDA is typically concerned with multiple criteria problems that have a small number of alternatives often in an environment of uncertainty (location of an airport, type of drug rehabilitation program), multiple criteria optimization is typically directed at problems formulated within a mathematical programming framework, but with a stack of objectives instead of just one (river basin management, engineering component design, product distribution). It is about the most modern treatment of multiple criteria optimization that this book is concerned. I look at this book as a nicely organized and well-rounded presentation of what I view as ”new wave” topics in multiple criteria optimization. Looking back to the origins of MCDM, most people agree that it was not until about the early 1970s that multiple criteria optimization c- gealed as a field. At this time, and for about the following fifteen years, the focus was on theories of multiple objective linear programming that subsume conventional (single criterion) linear programming, algorithms for characterizing the efficient set, theoretical vector-maximum dev- opments, and interactive procedures.
Issues for Jan. 1961-June 1968 include the Society of Industrial and Cost Accountants of Canada's S.I.C.A. news; July/Aug. 1968 the Society's SIA news; Sept. 1968-Feb. 1969 include the Society of Industrial Accountants of Canada's SIA news; Mar./Apr. 1969-Mar./Apr. 1975 the Society's RIA news; May/June 1975-Mar./Apr. 1977 the Society's Nouvelles RIA; and May/June 1977-July/Aug. 1985 include the Society of Management Accountants of Canadas̕ Nouvelles RIA, the latter three being published in alternate months in the RIA digest.
Written by two of Europe's leading robotics experts, this book provides the tools for a unified approach to the modelling of robotic manipulators, whatever their mechanical structure. No other publication covers the three fundamental issues of robotics: modelling, identification and control. It covers the development of various mathematical models required for the control and simulation of robots.·World class authority·Unique range of coverage not available in any other book·Provides a complete course on robotic control at an undergraduate and graduate level
This is a high-quality, hardbound edition of the official GNU Emacs Lisp Reference Manual, from the current Emacs Version 24.5 distribution. It is printed on acid free and lignin free paper, that meets all ANSI standards for archival quality paper. *** The GNU Emacs Lisp Reference Manual is also available for free within GNU Emacs itself, via the help system, or online. Professional users may find this hardbound edition convenient for frequent consultation, and an excellent copy for desktop reference. *** For each copy of this manual sold, 10% of its gross sale revenue is donated to the Free Software Foundation (FSF).
This graduate-level text presents mathematical theory and problem-solving techniques associated with enumeration problems. Subjects include the combinatorics of the ordinary generating function and the exponential generating function, the combinatorics of sequences, and the combinatorics of paths. The text is complemented by approximately 350 exercises with full solutions. 1983 edition. Foreword by Gian-Carlo Rota. References. Index.
There are many excellent R resources for visualization, data science, and package development. Hundreds of scattered vignettes, web pages, and forums explain how to use R in particular domains. But little has been written on how to simply make R work effectively—until now. This hands-on book teaches novices and experienced R users how to write efficient R code. Drawing on years of experience teaching R courses, authors Colin Gillespie and Robin Lovelace provide practical advice on a range of topics—from optimizing the set-up of RStudio to leveraging C++—that make this book a useful addition to any R user’s bookshelf. Academics, business users, and programmers from a wide range of backgrounds stand to benefit from the guidance in Efficient R Programming. Get advice for setting up an R programming environment Explore general programming concepts and R coding techniques Understand the ingredients of an efficient R workflow Learn how to efficiently read and write data in R Dive into data carpentry—the vital skill for cleaning raw data Optimize your code with profiling, standard tricks, and other methods Determine your hardware capabilities for handling R computation Maximize the benefits of collaborative R programming Accelerate your transition from R hacker to R programmer
Developed by Jean-Paul Benzerci more than 30 years ago, correspondence analysis as a framework for analyzing data quickly found widespread popularity in Europe. The topicality and importance of correspondence analysis continue, and with the tremendous computing power now available and new fields of application emerging, its significance is greater