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Dies ist der zweite Band von Algorithmische Methoden, ein Lehrbuch zur computerorientierten Begleitung der Analysis und Linearen Algebra. Als mathematische Objekte dienen Funktionen, Matrizen und multivariate Polynome der Gliederung des Bandes. Neben den Grundlagen dazu werden die Darstellung der Objekte am Computer, wie etwa die Termdarstellung von Funktionen, sowie darauf definierte Grundoperationen wie zum Beispiel die Faktorisierung einer Matrix besprochen. Als roter Faden führt das Lösen der mit Hilfe der Objekte beschreibbaren Gleichungssysteme durch den Text. Eine Besonderheit dabei ist das Lösen polynomialer Gleichungssysteme mit Hilfe von Gröbner-Basen. Alle Lösungsalgorithmen werden anhand von Beispielen illustriert, die als in Matlab oder Mathematica ausführbare Downloads zur Verfügung stehen.

Numerical analysis. --- Algebra. --- Field theory (Physics). --- Functions of real variables. --- Computer science—Mathematics. --- Computer mathematics. --- Numerical Analysis. --- Field Theory and Polynomials. --- Real Functions. --- Mathematical Applications in Computer Science. --- Computational Mathematics and Numerical Analysis.

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This book constitutes the joint refereed proceedings of the 20th Symposium on the Integration of Symbolic Computation and Mechanized Reasoning, Calculemus 2013, 6th International Workshop on Digital Mathematics Libraries, DML 2013, Systems and Projects, held in Bath, UK as part of  CICM 2013, the Conferences on Intelligent Computer Mathematics. The 7 revised full papers out of 18 submissions for MKM 2013, 5 revised full papers out of 12 submissions for Calculemus 2013,  6 revised full papers out of 8 submissions for DML 2013, and 12 revised full papers out of 16 submissions for Systems and Project track presented together with 3 invited talks were carefully reviewed and selected, resulting in 33 papers from a total of 73 submissions.

Computer science. --- Algebra --- Information storage and retrieval systems. --- Artificial intelligence. --- Text processing (Computer science. --- Computer Science. --- Symbolic and Algebraic Manipulation. --- Artificial Intelligence (incl. Robotics). --- Math Applications in Computer Science. --- Mathematical Logic and Formal Languages. --- Document Preparation and Text Processing. --- Information Storage and Retrieval. --- Engineering & Applied Sciences --- Computer Science --- Data processing. --- Automatic data storage --- Automatic information retrieval --- Automation in documentation --- Computer-based information systems --- Data processing systems --- Data storage and retrieval systems --- Discovery systems, Information --- Information discovery systems --- Information processing systems --- Information retrieval systems --- Machine data storage and retrieval --- Mechanized information storage and retrieval systems --- Processing, Text (Computer science) --- AI (Artificial intelligence) --- Artificial thinking --- Electronic brains --- Intellectronics --- Intelligence, Artificial --- Intelligent machines --- Machine intelligence --- Thinking, Artificial --- Informatics --- Mathematical logic. --- Computer science --- Information storage and retrieval. --- Text processing (Computer science). --- Mathematics. --- Artificial intelligence --- Mathematics --- Bionics --- Cognitive science --- Digital computer simulation --- Electronic data processing --- Logic machines --- Machine theory --- Self-organizing systems --- Simulation methods --- Fifth generation computers --- Neural computers --- Natural language processing (Computer science). --- Information storage and retrieva. --- Artificial Intelligence. --- Natural Language Processing (NLP). --- NLP (Computer science) --- Human-computer interaction --- Semantic computing --- Science --- Computer systems --- Electronic information resources --- Data libraries --- Digital libraries --- Information organization --- Information retrieval --- Computer science—Mathematics. --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism --- Natural language processing (Computer science)

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This book constitutes the joint refereed proceedings of the 20th Symposium on the Integration of Symbolic Computation and Mechanized Reasoning, Calculemus 2013, 6th International Workshop on Digital Mathematics Libraries, DML 2013, Systems and Projects, held in Bath, UK as part of  CICM 2013, the Conferences on Intelligent Computer Mathematics. The 7 revised full papers out of 18 submissions for MKM 2013, 5 revised full papers out of 12 submissions for Calculemus 2013,  6 revised full papers out of 8 submissions for DML 2013, and 12 revised full papers out of 16 submissions for Systems and Project track presented together with 3 invited talks were carefully reviewed and selected, resulting in 33 papers from a total of 73 submissions.

Information retrieval --- Mathematical logic --- Algebra --- Mathematics --- Graphics industry --- Computer science --- Programming --- Computer architecture. Operating systems --- Information systems --- Artificial intelligence. Robotics. Simulation. Graphics --- Computer. Automation --- algebra --- IR (information retrieval) --- computers --- grafische technieken --- informatica --- radiologie --- informatiesystemen --- wiskunde --- KI (kunstmatige intelligentie) --- logica --- computerkunde --- robots --- AI (artificiële intelligentie)

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This book is a synopsis of the basic and applied research carried out at the various research institutions of Softwarepark Hagenberg in Austria. Started in 1987, following a decision of the government of Upper Austria to create a scientific, technological, and economic impulse for the region and for the international community, Softwarepark Hagenberg has grown in size to over 1000 R&D employees and 1300 students in six research institutions, 40 companies and 20 academic study programs at the bachelor's, master's and PhD levels. The overall goal of Softwarepark Hagenberg is economic stimulation through innovative software technologies. The contributions in this book provide an overview of current research in the field of software science and related areas pursued at the six research institutions of Softwarepark Hagenberg. The subjects addressed range from computational logic and mathematics to software science and applied technologies. The message of this book is that economic and scientific innovation can only be achieved by emphasizing basic and applied research.

Computer science --- Computer architecture. Operating systems --- Information systems --- Artificial intelligence. Robotics. Simulation. Graphics --- Computer. Automation --- ICT (informatie- en communicatietechnieken) --- toegepaste informatica --- informatica --- informatiesystemen --- software engineering --- KI (kunstmatige intelligentie) --- computernetwerken --- robots --- AI (artificiële intelligentie)