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Elementary Number Theory
An undergraduate-level introduction to number theory, with the emphasis on fully explained proofs and examples. Exercises, together with their solutions are integrated into the text, and the first few chapters assume only basic school algebra. Elementary ideas about groups and rings are then used to study groups of units, quadratic residues and arithmetic functions with applications to enumeration and cryptography. The final part, suitable for third-year students, uses ideas from algebra, analysis, calculus and geometry to study Dirichlet series and sums of squares. In particular, the last chapter gives a concise account of Fermat's Last Theorem, from its origin in the ancient Babylonian and Greek study of Pythagorean triples to its recent proof by Andrew Wiles.
Advances in Multimedia Information Processing - PCM 2004
Welcome to the proceedings of the 5th Paci?c Rim Conference on Multimedia (PCM 2004) held in Tokyo Waterfront City, Japan, November 30–December 3, 2004. Following the success of the preceding conferences, PCM 2000 in Sydney, PCM 2001 in Beijing, PCM 2002 in Hsinchu, and PCM 2003 in Singapore, the ?fth PCM brought together the researchers, developers, practitioners, and educators in the ?eld of multimedia. Theoretical breakthroughs and practical systems were presented at this conference, thanks to the support of the IEEE Circuits and Systems Society, IEEE Region 10 and IEEE Japan Council, ACM SIGMM, IEICE and ITE. PCM2004featuredacomprehensiveprogramincludingkeynotetalks,regular paperpresen...
Research and Advanced Technology for Digital Libraries
ECDL 2002 was the 6th conference in the series of European Conferences on Research and Advanced Technologies for Digital Libraries. Following previous events in Pisa (1997), Heraklion (1998), Paris (1999), Lisbon (2000), and Da- stadt (2001), this year ECDL was held in Rome. ECDL 2002 contributed, - gether with the previous conferences, to establishing ECDL as the major - ropean forum focusing on digital libraries and associated technical, practical, and social issues. ECDL 2002 continued the tradition already established by the previous conferences in meeting the needs of a large and diverse constituency, which includes researchers, practitioners, educators, policy makers, and users. The fo...
Cross-Language Information Retrieval and Evaluation
The first evaluation campaign of the Cross-Language Evaluation Forum (CLEF) for European languages was held from January to September 2000. The campaign cul- nated in a two-day workshop in Lisbon, Portugal, 21 22 September, immediately following the fourth European Conference on Digital Libraries (ECDL 2000). The first day of the workshop was open to anyone interested in the area of Cross-Language Information Retrieval (CLIR) and addressed the topic of CLIR system evaluation. The goal was to identify the actual contribution of evaluation to system development and to determine what could be done in the future to stimulate progress. The second day was restricted to participants in the CLEF 200...
Multimedia Information Extraction
The advent of increasingly large consumer collections of audio (e.g., iTunes), imagery (e.g., Flickr), and video (e.g., YouTube) is driving a need not only for multimedia retrieval but also information extraction from and across media. Furthermore, industrial and government collections fuel requirements for stock media access, media preservation, broadcast news retrieval, identity management, and video surveillance. While significant advances have been made in language processing for information extraction from unstructured multilingual text and extraction of objects from imagery and video, these advances have been explored in largely independent research communities who have addressed extra...
Technologies for E-Learning and Digital Entertainment
This book constitutes the refereed proceedings of the Second International Conference on E-learning and Games, Edutainment 2007, held in Hong Kong, China, in June 2007. It covers virtual and augmented reality in game and education, virtual characters in games and education, e-learning platforms and tools, geometry in games and virtual reality, vision, imaging and video technology, as well as collaborative and distributed environments.
On the Move to Meaningful Internet Systems 2007: OTM 2007 Workshops
This two-volume set LNCS 4805/4806 constitutes the refereed proceedings of 10 international workshops and papers of the OTM Academy Doctoral Consortium held as part of OTM 2007 in Vilamoura, Portugal, in November 2007. The 126 revised full papers presented were carefully reviewed and selected from a total of 241 submissions to the workshops. The first volume begins with 23 additional revised short or poster papers of the OTM 2007 main conferences.
String Processing and Information Retrieval
This book constitutes the proceedings of the 18th International Symposium on String Processing and Information Retrieval, SPIRE 2011, held in Pisa, Italy, in October 2011. The 30 long and 10 short papers together with 1 keynote presented were carefully reviewed and selected from 102 submissions. The papers are structured in topical sections on introduction to web retrieval, sequence learning, computational geography, space-efficient data structures, algorithmic analysis of biological data, compression, text and algorithms.
Advances in Information Retrieval
This book constitutes the refereed proceedings of the 28th European Conference on Information Retrieval Research, ECIR 2006, held in London, April 2006. The 37 revised full papers and 28 revised poster papers presented are organized in topical sections on formal models, document and query representation and text understanding, topic identification and news retrieval, clustering and classification, refinement and feedback, performance and peer-to-peer networks, Web search, cross-language retrieval, genomic IR, and much more.
Experimental IR Meets Multilinguality, Multimodality, and Interaction
This book constitutes the refereed proceedings of the 8th International Conference of the CLEF Initiative, CLEF 2017, held in Dublin, Ireland, in September 2017. The 7 full papers and 9 short papers presented together with 6 best of the labs papers were carefully reviewed and selected from 38 submissions. In addition, this volume contains the results of 10 benchmarking labs reporting their year long activities in overview talks and lab sessions. The papers address all aspects of information access in any modality and language and cover a broad range of topics in the field of multilingual and multimodal information access evaluation.
