Score Region Algebra: Building a Transparent XML-IR Database
Mihajlovic, V.; Blok, H.E.; Hiemstra, Djoerd; Apers, Peter M.G.; Chowdhury, A.; Fuhr, N.; Ronthaler, M.; Schek, H-J.; Teiken, W.
2005-01-01
A unified database framework that will enable better comprehension of ranked XML retrieval is still a challenge in the XML database field. We propose a logical algebra, named score region algebra, that enables transparent specification of information retrieval (IR) models for XML databases. The
Score Region Algebra: Building a Transparant XML-IR Database
Mihajlovic, V.; Blok, H.E.; Hiemstra, Djoerd; Apers, Peter M.G.
2005-01-01
A unied database framework that will enable better comprehension of ranked XML retrieval is still a challenge in the XML database field. We propose a logical algebra, named score region algebra, that enables transparent specification of information retrieval (IR) models for XML databases. The
Realization Of Algebraic Processor For XML Documents Processing
International Nuclear Information System (INIS)
Georgiev, Bozhidar; Georgieva, Adriana
2010-01-01
In this paper, are presented some possibilities concerning the implementation of an algebraic method for XML hierarchical data processing which makes faster the XML search mechanism. Here is offered a different point of view for creation of advanced algebraic processor (with all necessary software tools and programming modules respectively). Therefore, this nontraditional approach for fast XML navigation with the presented algebraic processor may help to build an easier user-friendly interface provided XML transformations, which can avoid the difficulties in the complicated language constructions of XSL, XSLT and XPath. This approach allows comparatively simple search of XML hierarchical data by means of the following types of functions: specification functions and so named build-in functions. The choice of programming language Java may appear strange at first, but it isn't when you consider that the applications can run on different kinds of computers. The specific search mechanism based on the linear algebra theory is faster in comparison with MSXML parsers (on the basis of the developed examples with about 30%). Actually, there exists the possibility for creating new software tools based on the linear algebra theory, which cover the whole navigation and search techniques characterizing XSLT/XPath. The proposed method is able to replace more complicated operations in other SOA components.
Algebra-Based Optimization of XML-Extended OLAP Queries
DEFF Research Database (Denmark)
Yin, Xuepeng; Pedersen, Torben Bach
In today’s OLAP systems, integrating fast changing data, e.g., stock quotes, physically into a cube is complex and time-consuming. The widespread use of XML makes it very possible that this data is available in XML format on the WWW; thus, making XML data logically federated with OLAP systems is ...
Algebra-Based Optimization of XML-Extended OLAP Queries
DEFF Research Database (Denmark)
Yin, Xuepeng; Pedersen, Torben Bach
2006-01-01
In today’s OLAP systems, integrating fast changing data physically into a cube is complex and time-consuming. Our solution, the “OLAP-XML Federation System,” makes it possible to reference the fast changing data in XML format in OLAP queries without physical integration. In this paper, we introdu...
Evaluating XML-Extended OLAP Queries Based on a Physical Algebra
DEFF Research Database (Denmark)
Yin, Xuepeng; Pedersen, Torben Bach
2006-01-01
In today’s OLAP systems, physically integrating fast-changing data, e.g., stock quotes, into a cube is complex and time-consuming. This data is likely to be available in XML format on the WWW; thus, instead of physical integration, making XML data logically federated with OLAP systems is desirable....... In this paper, we extend previous work on the logical federation of OLAP and XML data sources by presenting a simplified query semantics, a physical query algebra and a robust OLAP-XML query engine as well as the query evaluation techniques. Performance experiments with a prototypical implementation suggest...... that the performance for OLAP-XML federations is comparable to queries on physically integrated data....
Evaluating XML-Extended OLAP Queries Based on a Physical Algebra
DEFF Research Database (Denmark)
Yin, Xuepeng; Pedersen, Torben Bach
2004-01-01
In today's OLAP systems, integrating fast changing data, e.g., stock quotes, physically into a cube is complex and time-consuming.The widespread use of XML makes it very possible that this data is available in XML format on the WWW. Thus, making XML data logically federated with OLAP systems is d...
Evaluating XML-Extended OLAP Queries Based on a Physical Algebra
DEFF Research Database (Denmark)
Yin, Xuepeng; Pedersen, Torben Bach
2006-01-01
In today’s OLAP systems, physically integrating fast-changing data, e.g., stock quotes, into a cube is complex and time-consuming. This data is likely to be available in XML format on the WWW; thus, instead of physical integration, making XML data logically federated with OLAP systems is desirabl...
S. Pemberton (Steven)
2013-01-01
htmlabstractWhat if you could see everything as XML? XML has many strengths for data exchange, strengths both inherent in the nature of XML markup and strengths that derive from the ubiquity of tools that can process XML. For authoring, however, other forms are preferred: no one writes CSS or
Tabak, John
2004-01-01
Looking closely at algebra, its historical development, and its many useful applications, Algebra examines in detail the question of why this type of math is so important that it arose in different cultures at different times. The book also discusses the relationship between algebra and geometry, shows the progress of thought throughout the centuries, and offers biographical data on the key figures. Concise and comprehensive text accompanied by many illustrations presents the ideas and historical development of algebra, showcasing the relevance and evolution of this branch of mathematics.
Flanders, Harley
1975-01-01
Algebra presents the essentials of algebra with some applications. The emphasis is on practical skills, problem solving, and computational techniques. Topics covered range from equations and inequalities to functions and graphs, polynomial and rational functions, and exponentials and logarithms. Trigonometric functions and complex numbers are also considered, together with exponentials and logarithms.Comprised of eight chapters, this book begins with a discussion on the fundamentals of algebra, each topic explained, illustrated, and accompanied by an ample set of exercises. The proper use of a
Sepanski, Mark R
2010-01-01
Mark Sepanski's Algebra is a readable introduction to the delightful world of modern algebra. Beginning with concrete examples from the study of integers and modular arithmetic, the text steadily familiarizes the reader with greater levels of abstraction as it moves through the study of groups, rings, and fields. The book is equipped with over 750 exercises suitable for many levels of student ability. There are standard problems, as well as challenging exercises, that introduce students to topics not normally covered in a first course. Difficult problems are broken into manageable subproblems
Directory of Open Access Journals (Sweden)
Felician ALECU
2012-04-01
Full Text Available XSLT style sheets are designed to transform the XML documents into something else. The two most popular parsers of the moment are the Document Object Model (DOM and the Simple API for XML (SAX. DOM is an official recommendation of the W3C (available at http://www.w3.org/TR/REC-DOM-Level-1, while SAX is a de facto standard. A good parser should be fast, space efficient, rich in functionality and easy to use.
Implementasi XML Encryption (XML Enc Menggunakan Java
Directory of Open Access Journals (Sweden)
Tenia Wahyuningrum
2012-05-01
Full Text Available Seiring dengan semakin luasnya penggunaan XML pada berbagai layanan di internet, yang penyebaran informasinya sebagian besar menggunakan infrastruktur jaringan umum, maka mulai muncul permasalahan mengenai kebutuhan akan keamanan data bagi informasi yang terkandung didalam sebuah dokumen XML. Salah satu caranya adalah dengan menggunakan teknologi XML Enc. Pada makalah ini akan dibahas mengenai cara menggunakan XML Enc menggunakan bahasa pemrograman java, khususnya menyandikan dokumen XML (enkripsi, dengan algoritma AES dan Tripple DES untuk menyandikan dokumen XML menggunakan kunci simetrik.
Implementasi XML Encryption (XML Enc) Menggunakan Java
Tenia Wahyuningrum
2012-01-01
Seiring dengan semakin luasnya penggunaan XML pada berbagai layanan di internet, yang penyebaran informasinya sebagian besar menggunakan infrastruktur jaringan umum, maka mulai muncul permasalahan mengenai kebutuhan akan keamanan data bagi informasi yang terkandung didalam sebuah dokumen XML. Salah satu caranya adalah dengan menggunakan teknologi XML Enc. Pada makalah ini akan dibahas mengenai cara menggunakan XML Enc menggunakan bahasa pemrograman java, khususnya menyandikan dokumen XML (enk...
Scharf, David
2002-01-01
Discusses XML (extensible markup language), particularly as it relates to libraries. Topics include organizing information; cataloging; metadata; similarities to HTML; organizations dealing with XML; making XML useful; a history of XML; the semantic Web; related technologies; XML at the Library of Congress; and its role in improving the…
2015-07-01
Transfer Standard URI uniform resource identifier W3C World Wide Web Consortium XML extensible markup language XSD XML schema definition XML Style...XML Overview The XML standard is a specification produced by the World Wide Web Consortium ( W3C ), whose original intent was to provide a machine...15, July 2015 10 Figure 7. IHAL Use Schema Modularity and Composability 4.2 Schema Format Define the schema according to the W3C XML schema
Semantically Interoperable XML Data.
Vergara-Niedermayr, Cristobal; Wang, Fusheng; Pan, Tony; Kurc, Tahsin; Saltz, Joel
2013-09-01
XML is ubiquitously used as an information exchange platform for web-based applications in healthcare, life sciences, and many other domains. Proliferating XML data are now managed through latest native XML database technologies. XML data sources conforming to common XML schemas could be shared and integrated with syntactic interoperability. Semantic interoperability can be achieved through semantic annotations of data models using common data elements linked to concepts from ontologies. In this paper, we present a framework and software system to support the development of semantic interoperable XML based data sources that can be shared through a Grid infrastructure. We also present our work on supporting semantic validated XML data through semantic annotations for XML Schema, semantic validation and semantic authoring of XML data. We demonstrate the use of the system for a biomedical database of medical image annotations and markups.
ScotlandsPlaces XML: Bespoke XML or XML Mapping?
Beamer, Ashley; Gillick, Mark
2010-01-01
Purpose: The purpose of this paper is to investigate web services (in the form of parameterised URLs), specifically in the context of the ScotlandsPlaces project. This involves cross-domain querying, data retrieval and display via the development of a bespoke XML standard rather than existing XML formats and mapping between them.…
Dykes, Lucinda
2005-01-01
See how XML works for business needs and RSS feedsCreate consistency on the Web, or tag your data for different purposesTag -- XML is it! XML tags let you share your format as well as your data, and this handy guide will show you how. You''ll soon be using this markup language to create everything from Web sites to business forms, discovering schemas and DOCTYPES, wandering the Xpath, teaming up XML with Office 2003, and more.Discover how to* Make information portable* Use XML with Word 2003* Store different types of data* Convert HTML documents to XHTML* Add CSS to XML* Understand and use DTD
Tennant, Roy, Ed.
This book presents examples of how libraries are using XML (eXtensible Markup Language) to solve problems, expand services, and improve systems. Part I contains papers on using XML in library catalog records: "Updating MARC Records with XMLMARC" (Kevin S. Clarke, Stanford University) and "Searching and Retrieving XML Records via the…
Wollowski, Michael
XML, the extensible markup language, is a quickly evolving technology that presents a viable alternative to courseware products and promises to ease the burden of Web authors, who edit their course pages directly. XML uses tags to label kinds of contents, rather than format information. The use of XML enables faculty to focus on providing…
XML Graphs in Program Analysis
DEFF Research Database (Denmark)
Møller, Anders; Schwartzbach, Michael I.
2011-01-01
XML graphs have shown to be a simple and effective formalism for representing sets of XML documents in program analysis. It has evolved through a six year period with variants tailored for a range of applications. We present a unified definition, outline the key properties including validation...... of XML graphs against different XML schema languages, and provide a software package that enables others to make use of these ideas. We also survey the use of XML graphs for program analysis with four very different languages: XACT (XML in Java), Java Servlets (Web application programming), XSugar...... (transformations between XML and non-XML data), and XSLT (stylesheets for transforming XML documents)....
Pozrikidis, C
2013-01-01
While the extensible markup language (XML) has received a great deal of attention in web programming and software engineering, far less attention has been paid to XML in mainstream computational science and engineering. Correcting this imbalance, XML in Scientific Computing introduces XML to scientists and engineers in a way that illustrates the similarities and differences with traditional programming languages and suggests new ways of saving and sharing the results of scientific calculations. The author discusses XML in the context of scientific computing, demonstrates how the extensible stylesheet language (XSL) can be used to perform various calculations, and explains how to create and navigate through XML documents using traditional languages such as Fortran, C++, and MATLAB®. A suite of computer programs are available on the author’s website.
DEFF Research Database (Denmark)
Knudsen, Steffen Ulsø; Pedersen, Torben Bach; Thomsen, Christian
In modern enterprises, almost all data is stored in relational databases. Additionally, most enterprises increasingly collaborate with other enterprises in long-running read-write workflows, primarily through XML-based data exchange technologies such as web services. However, bidirectional XML data...... exchange is cumbersome and must often be hand-coded, at considerable expense. This paper remedies the situation by proposing RELAXML, an automatic and effective approach to bidirectional XML-based exchange of relational data. RELAXML supports re-use through multiple inheritance, and handles both export...... of relational data to XML documents and (re-)import of XML documents with a large degree of flexibility in terms of the SQL statements and XML document structures supported. Import and export are formally defined so as to avoid semantic problems, and algorithms to implement both are given. A performance study...
Energy Technology Data Exchange (ETDEWEB)
R. KELSEY
2001-02-01
For focused applications with limited user and use application communities, XML can be the right choice for representation. It is easy to use, maintain, and extend and enjoys wide support in commercial and research sectors. When the knowledge and information to be represented is object-based and use of that knowledge and information is a high priority, then XML-based representation should be considered. This paper discusses some of the issues involved in using XML-based representation and presents an example application that successfully uses an XML-based representation.
... this page: https://medlineplus.gov/xml.html MedlinePlus XML Files To use the sharing features on this page, please enable JavaScript. MedlinePlus produces XML data sets that you are welcome to download ...
DEFF Research Database (Denmark)
Knudsen, Steffen Ulsø; Pedersen, Torben Bach; Thomsen, Christian
In modern enterprises, almost all data is stored in relational databases. Additionally, most enterprises increasingly collaborate with other enterprises in long-running read-write workflows, primarily through XML-based data exchange technologies such as web services. However, bidirectional XML data...
Rajugan, R.; Marik, V.; Retschitzegger, W.; Chang, E.; Dillon, T.; Stepankova, O.; Feng, L.
The exponential growth and the nature of Internet and web-based applications made eXtensible Markup Language (XML) as the de-facto standard for data exchange and data dissemination. Now it is gaining momentum in replacing conventional data models for data representation. XML with its self-describing
Riggs, Ken Roger
2002-01-01
Discusses problems with marking free text, text that is either natural language or semigrammatical but unstructured, that prevent well-formed XML from marking text for readily available meaning. Proposes a solution to mark meaning in free text that is consistent with the intended simplicity of XML versus SGML. (Author/LRW)
Directory of Open Access Journals (Sweden)
Charles Shoniregun
2004-11-01
Full Text Available XML (extensible markup language is becoming the current standard for establishing interoperability on the Web. XML data are self-descriptive and syntax-extensible; this makes it very suitable for representation and exchange of semi-structured data, and allows users to define new elements for their specific applications. As a result, the number of documents incorporating this standard is continuously increasing over the Web. The processing of XML documents may require a traversal of all document structure and therefore, the cost could be very high. A strong demand for a means of efficient and effective XML processing has posed a new challenge for the database world. This paper discusses a fast and efficient indexing technique for XML documents, and introduces the XML graph numbering scheme. It can be used for indexing and securing graph structure of XML documents. This technique provides an efficient method to speed up XML data processing. Furthermore, the paper explores the classification of existing methods impact of query processing, and indexing.
Compression of Probabilistic XML documents
Veldman, Irma
2009-01-01
Probabilistic XML (PXML) files resulting from data integration can become extremely large, which is undesired. For XML there are several techniques available to compress the document and since probabilistic XML is in fact (a special form of) XML, it might benefit from these methods even more. In
DEFF Research Database (Denmark)
Brabrand, Claus; Møller, Anders; Schwartzbach, Michael Ignatieff
2005-01-01
XML is successful as a machine processable data interchange format, but it is often too verbose for human use. For this reason, many XML languages permit an alternative more legible non-XML syntax. XSLT stylesheets are often used to convert from the XML syntax to the alternative syntax; however...
XML Graphs in Program Analysis
DEFF Research Database (Denmark)
Møller, Anders; Schwartzbach, Michael Ignatieff
2007-01-01
XML graphs have shown to be a simple and effective formalism for representing sets of XML documents in program analysis. It has evolved through a six year period with variants tailored for a range of applications. We present a unified definition, outline the key properties including validation...... of XML graphs against different XML schema languages, and provide a software package that enables others to make use of these ideas. We also survey four very different applications: XML in Java, Java Servlets and JSP, transformations between XML and non-XML data, and XSLT....
XML Multidimensional Modelling and Querying
Boucher, Serge; Verhaegen, Boris; Zimányi, Esteban
2009-01-01
As XML becomes ubiquitous and XML storage and processing becomes more efficient, the range of use cases for these technologies widens daily. One promising area is the integration of XML and data warehouses, where an XML-native database stores multidimensional data and processes OLAP queries written in the XQuery interrogation language. This paper explores issues arising in the implementation of such a data warehouse. We first compare approaches for multidimensional data modelling in XML, then...
Pietriga, Emmanuel; Vion-Dury, Jean-Yves
2001-01-01
The ever growing amount of heterogeneous data exchanged through the Internet, combined with the popularity of XML, make structured document transformations an increasingly important application domain. Most of the existing solutions for expressing XML transformations are textual languages, such as XSLT or DOM combined with a general-purpose programming language. Several tools build on top of these languages, providing a graphical environment and debugging facilities. Transformations are howev...
Schweiger, Ralf; Hoelzer, Simon; Altmann, Udo; Rieger, Joerg; Dudeck, Joachim
2002-01-01
The application of XML (Extensible Markup Language) is still costly. The authors present an approach to ease the development of XML applications. They have developed a Web-based framework that combines existing XML resources into a comprehensive XML application. The XML framework is model-driven, i.e., the authors primarily design XML document models (XML schema, document type definition), and users can enter, search, and view related XML documents using a Web browser. The XML model itself is flexible and might be composed of existing model standards. The second part of the paper relates the approach of the authors to some problems frequently encountered in the clinical documentation process. PMID:11751802
DEFF Research Database (Denmark)
Brabrand, Claus; Møller, Anders; Schwartzbach, Michael Ignatieff
2008-01-01
XML is successful as a machine processable data interchange format, but it is often too verbose for human use. For this reason, many XML languages permit an alternative more legible non-XML syntax. XSLT stylesheets are often used to convert from the XML syntax to the alternative syntax; however......, such transformations are not reversible since no general tool exists to automatically parse the alternative syntax back into XML. We present XSugar, which makes it possible to manage dual syntax for XML languages. An XSugar specification is built around a context-free grammar that unifies the two syntaxes...... of a language. Given such a specification, the XSugar tool can translate from alternative syntax to XML and vice versa. Moreover, the tool statically checks that the transformations are reversible and that all XML documents generated from the alternative syntax are valid according to a given XML schema....
DEFF Research Database (Denmark)
Brabrand, Claus; Møller, Anders; Schwartzbach, Michael Ignatieff
2005-01-01
XML is successful as a machine processable data interchange format, but it is often too verbose for human use. For this reason, many XML languages permit an alternative more legible non-XML syntax. XSLT stylesheets are often used to convert from the XML syntax to the alternative syntax; however......, such transformations are not reversible since no general tool exists to automatically parse the alternative syntax back into XML. We present XSugar, which makes it possible to manage dual syntax for XML languages. An XSugar specification is built around a context-free grammar that unifies the two syntaxes...... of a language. Given such a specification, the XSugar tool can translate from alternative syntax to XML and vice versa. Moreover, the tool statically checks that the transformations are reversible and that all XML documents generated from the alternative syntax are valid according to a given XML schema....
Expressiveness considerations of XML signatures
DEFF Research Database (Denmark)
Jensen, Meiko; Meyer, Christopher
2011-01-01
XML Signatures are used to protect XML-based Web Service communication against a broad range of attacks related to man-in-the-middle scenarios. However, due to the complexity of the Web Services specification landscape, the task of applying XML Signatures in a robust and reliable manner becomes...... more and more challenging. In this paper, we investigate this issue, describing how an attacker can still interfere with Web Services communication even in the presence of XML Signatures. Additionally, we discuss the interrelation of XML Signatures and XML Encryption, focussing on their security...
Algebraic partial Boolean algebras
Smith, D
2003-01-01
Partial Boolean algebras, first studied by Kochen and Specker in the 1960s, provide the structure for Bell-Kochen-Specker theorems which deny the existence of non-contextual hidden variable theories. In this paper, we study partial Boolean algebras which are 'algebraic' in the sense that their elements have coordinates in an algebraic number field. Several of these algebras have been discussed recently in a debate on the validity of Bell-Kochen-Specker theorems in the context of finite precision measurements. The main result of this paper is that every algebraic finitely-generated partial Boolean algebra B(T) is finite when the underlying space H is three-dimensional, answering a question of Kochen and showing that Conway and Kochen's infinite algebraic partial Boolean algebra has minimum dimension. This result contrasts the existence of an infinite (non-algebraic) B(T) generated by eight elements in an abstract orthomodular lattice of height 3. We then initiate a study of higher-dimensional algebraic partial...
Biswas, Debmalya; Jiwane, Ashwin; Genest, Blaise
With more and more data stored into XML databases, there is a need to provide the same level of failure resilience and robustness that users have come to expect from relational database systems. In this work, we discuss strategies to provide the transactional aspect of atomicity to XML databases. The main contribution of this paper is to propose a novel approach for performing updates-in-place on XML databases, with the undo statements stored in the same high level language as the update statements. Finally, we give experimental results to study the performance/storage trade-off of the updates-in-place strategy (based on our undo proposal) against the deferred updates strategy to providing atomicity.
Intelligent Search on XML Data
Blanken, Henk; Grabs, T.; Schek, H-J.; Schenkel, R.; Weikum, G.; Unknown, [Unknown
2003-01-01
Recently, we have seen a steep increase in the popularity and adoption of XML, in areas such as traditional databases, e-business, the scientific environment, and on the web. Querying XML documents and data efficiently is a challenging issue; this book approaches search on XML data by combining
Jackson, Joe; Gilstrap, Donald L.
1999-01-01
Addresses the implications of the new Web metalanguage XML for searching on the World Wide Web and considers the future of XML on the Web. Compared to HTML, XML is more concerned with structure of data than documents, and these data structures should prove conducive to precise, context rich searching. (Author/LRW)
Algebraic partial Boolean algebras
Smith, Derek
2003-04-01
Partial Boolean algebras, first studied by Kochen and Specker in the 1960s, provide the structure for Bell-Kochen-Specker theorems which deny the existence of non-contextual hidden variable theories. In this paper, we study partial Boolean algebras which are 'algebraic' in the sense that their elements have coordinates in an algebraic number field. Several of these algebras have been discussed recently in a debate on the validity of Bell-Kochen-Specker theorems in the context of finite precision measurements. The main result of this paper is that every algebraic finitely-generated partial Boolean algebra B(T) is finite when the underlying space Script H is three-dimensional, answering a question of Kochen and showing that Conway and Kochen's infinite algebraic partial Boolean algebra has minimum dimension. This result contrasts the existence of an infinite (non-algebraic) B(T) generated by eight elements in an abstract orthomodular lattice of height 3. We then initiate a study of higher-dimensional algebraic partial Boolean algebras. First, we describe a restriction on the determinants of the elements of B(T) that are generated by a given set T. We then show that when the generating set T consists of the rays spanning the minimal vectors in a real irreducible root lattice, B(T) is infinite just if that root lattice has an A5 sublattice. Finally, we characterize the rays of B(T) when T consists of the rays spanning the minimal vectors of the root lattice E8.
Algebraic partial Boolean algebras
Energy Technology Data Exchange (ETDEWEB)
Smith, Derek [Math Department, Lafayette College, Easton, PA 18042 (United States)
2003-04-04
Partial Boolean algebras, first studied by Kochen and Specker in the 1960s, provide the structure for Bell-Kochen-Specker theorems which deny the existence of non-contextual hidden variable theories. In this paper, we study partial Boolean algebras which are 'algebraic' in the sense that their elements have coordinates in an algebraic number field. Several of these algebras have been discussed recently in a debate on the validity of Bell-Kochen-Specker theorems in the context of finite precision measurements. The main result of this paper is that every algebraic finitely-generated partial Boolean algebra B(T) is finite when the underlying space H is three-dimensional, answering a question of Kochen and showing that Conway and Kochen's infinite algebraic partial Boolean algebra has minimum dimension. This result contrasts the existence of an infinite (non-algebraic) B(T) generated by eight elements in an abstract orthomodular lattice of height 3. We then initiate a study of higher-dimensional algebraic partial Boolean algebras. First, we describe a restriction on the determinants of the elements of B(T) that are generated by a given set T. We then show that when the generating set T consists of the rays spanning the minimal vectors in a real irreducible root lattice, B(T) is infinite just if that root lattice has an A{sub 5} sublattice. Finally, we characterize the rays of B(T) when T consists of the rays spanning the minimal vectors of the root lattice E{sub 8}.
VanLengen, Craig Alan
2010-01-01
The Securities and Exchange Commission (SEC) has recently announced a proposal that will require all public companies to report their financial data in Extensible Business Reporting Language (XBRL). XBRL is an extension of Extensible Markup Language (XML). Moving to a standard reporting format makes it easier for organizations to report the…
Lewis, John D.
1998-01-01
Describes XML (extensible markup language), a new language classification submitted to the World Wide Web Consortium that is defined in terms of both SGML (Standard Generalized Markup Language) and HTML (Hypertext Markup Language), specifically designed for the Internet. Limitations of PDF (Portable Document Format) files for electronic journals…
Van Lingen, F; Van der Stok, P D V; Willers, Ian Malcolm
2001-01-01
Within research institutions like CERN (European Organization for Nuclear Research) there are often disparate databases (different in format, type and structure) that users need to access in a domain-specific manner. Users may want to access a simple unit of information without having to understand detail of the underlying schema or they may want to access the same information from several different sources. It is neither desirable nor feasible to require users to have knowledge of these schemas. Instead it would be advantageous if a user could query these sources using his or her own domain models and abstractions of the data. This paper describes the basis of an XML (eXtended Markup Language) framework that provides this functionality and is currently being developed at CERN. The goal of the first prototype was to explore the possibilities of XML for data integration and model management. It shows how XML can be used to integrate data sources. The framework is not only applicable to CERN data sources but ot...
Daum, Berthold
2002-01-01
XML is bringing together some fairly disparate groups into a new cultural clash: document developers trying to understand what a transaction is, database analysts getting upset because the relational model doesn''t fit anymore, and web designers having to deal with schemata and rule based transformations. The key to rising above the confusion is to understand the different semantic structures that lie beneath the standards of XML, and how to model the semantics to achieve the goals of the organization. A pure architecture of XML doesn''t exist yet, and it may never exist as the underlying technologies are so diverse. Still, the key to understanding how to build the new web infrastructure for electronic business lies in understanding the landscape of these new standards.If your background is in document processing, this book will show how you can use conceptual modeling to model business scenarios consisting of business objects, relationships, processes, and transactions in a document-centric way. Database des...
phyloXML: XML for evolutionary biology and comparative genomics.
Han, Mira V; Zmasek, Christian M
2009-10-27
Evolutionary trees are central to a wide range of biological studies. In many of these studies, tree nodes and branches need to be associated (or annotated) with various attributes. For example, in studies concerned with organismal relationships, tree nodes are associated with taxonomic names, whereas tree branches have lengths and oftentimes support values. Gene trees used in comparative genomics or phylogenomics are usually annotated with taxonomic information, genome-related data, such as gene names and functional annotations, as well as events such as gene duplications, speciations, or exon shufflings, combined with information related to the evolutionary tree itself. The data standards currently used for evolutionary trees have limited capacities to incorporate such annotations of different data types. We developed a XML language, named phyloXML, for describing evolutionary trees, as well as various associated data items. PhyloXML provides elements for commonly used items, such as branch lengths, support values, taxonomic names, and gene names and identifiers. By using "property" elements, phyloXML can be adapted to novel and unforeseen use cases. We also developed various software tools for reading, writing, conversion, and visualization of phyloXML formatted data. PhyloXML is an XML language defined by a complete schema in XSD that allows storing and exchanging the structures of evolutionary trees as well as associated data. More information about phyloXML itself, the XSD schema, as well as tools implementing and supporting phyloXML, is available at http://www.phyloxml.org.
International Nuclear Information System (INIS)
Garcia, R.L.
1983-11-01
The Grassmann algebra is presented briefly. Exponential and logarithm of matrices functions, whose elements belong to this algebra, are studied with the help of the SCHOONSCHIP and REDUCE 2 algebraic manipulators. (Author) [pt
Lefschetz, Solomon
2005-01-01
An introduction to algebraic geometry and a bridge between its analytical-topological and algebraical aspects, this text for advanced undergraduate students is particularly relevant to those more familiar with analysis than algebra. 1953 edition.
Beilinson, Alexander
2004-01-01
Chiral algebras form the primary algebraic structure of modern conformal field theory. Each chiral algebra lives on an algebraic curve, and in the special case where this curve is the affine line, chiral algebras invariant under translations are the same as well-known and widely used vertex algebras. The exposition of this book covers the following topics: the "classical" counterpart of the theory, which is an algebraic theory of non-linear differential equations and their symmetries; the local aspects of the theory of chiral algebras, including the study of some basic examples, such as the ch
Fawcett, Joe; Quin, Liam R E
2012-01-01
A complete update covering the many advances to the XML language The XML language has become the standard for writing documents on the Internet and is constantly improving and evolving. This new edition covers all the many new XML-based technologies that have appeared since the previous edition four years ago, providing you with an up-to-date introductory guide and reference. Packed with real-world code examples, best practices, and in-depth coverage of the most important and relevant topics, this authoritative resource explores both the advantages and disadvantages of XML and addresses the mo
XML-Intensive software development
Ibañez Anfurrutia, Felipe
2016-01-01
168 p. 1. IntroducciónXML es un lenguaje de meta-etiquetas, es decir, puede ser utilizado fundamentalmentepara crear lenguajes de etiquetas . La presencia de XML es unfenómeno generalizado. Sin embargo, su juventud hace que los desarrolladores seenfrentan a muchos desafíos al utilizar XML en aplicaciones de vanguardia. Estatesis enfrenta XML a tres escenarios diferentes: intercambio de documentos,Líneas de Producto Software (LPS) y Lenguajes eSpecíficos de Dominio (LSD).El intercambio digi...
XML schemas and mark-up practices of taxonomic literature.
Penev, Lyubomir; Lyal, Christopher Hc; Weitzman, Anna; Morse, David R; King, David; Sautter, Guido; Georgiev, Teodor; Morris, Robert A; Catapano, Terry; Agosti, Donat
2011-01-01
We review the three most widely used XML schemas used to mark-up taxonomic texts, TaxonX, TaxPub and taXMLit. These are described from the viewpoint of their development history, current status, implementation, and use cases. The concept of "taxon treatment" from the viewpoint of taxonomy mark-up into XML is discussed. TaxonX and taXMLit are primarily designed for legacy literature, the former being more lightweight and with a focus on recovery of taxon treatments, the latter providing a much more detailed set of tags to facilitate data extraction and analysis. TaxPub is an extension of the National Library of Medicine Document Type Definition (NLM DTD) for taxonomy focussed on layout and recovery and, as such, is best suited for mark-up of new publications and their archiving in PubMedCentral. All three schemas have their advantages and shortcomings and can be used for different purposes.
XML Schema Languages: Beyond DTD.
Ioannides, Demetrios
2000-01-01
Discussion of XML (extensible markup language) and the traditional DTD (document type definition) format focuses on efforts of the World Wide Web Consortium's XML schema working group to develop a schema language to replace DTD that will be capable of defining the set of constraints of any possible data resource. (Contains 14 references.) (LRW)
Gazan, Rich
2000-01-01
Surveys the current state of Extensible Markup Language (XML), a metalanguage for creating structured documents that describe their own content, and its implications for information professionals. Predicts that XML will become the common language underlying Web, word processing, and database formats. Also discusses Extensible Stylesheet Language…
XML Diagnostics Description Standard
International Nuclear Information System (INIS)
Neto, A.; Fernandes, H.; Varandas, C.; Lister, J.; Yonekawa, I.
2006-01-01
A standard for the self-description of fusion plasma diagnostics will be presented, based on the Extensible Markup Language (XML). The motivation is to maintain and organise the information on all the components of a laboratory experiment, from the hardware to the access security, to save time and money when problems arises. Since there is no existing standard to organise this kind of information, every Association stores and organises each experiment in different ways. This can lead to severe problems when the organisation schema is poorly documented or written in national languages. The exchange of scientists, researchers and engineers between laboratories is a common practice nowadays. Sometimes they have to install new diagnostics or to update existing ones and frequently they lose a great deal of time trying to understand the currently installed system. The most common problems are: no documentation available; the person who understands it has left; documentation written in the national language. Standardisation is the key to solving all the problems mentioned. From the commercial information on the diagnostic (component supplier; component price) to the hardware description (component specifications; drawings) to the operation of the equipment (finite state machines) through change control (who changed what and when) and internationalisation (information at least in the native language and in English), a common XML schema will be proposed. This paper will also discuss an extension of these ideas to the self-description of ITER plant systems, since the problems will be identical. (author)
Designing XML schemas for bioinformatics.
Bruhn, Russel Elton; Burton, Philip John
2003-06-01
Data interchange bioinformatics databases will, in the future, most likely take place using extensible markup language (XML). The document structure will be described by an XML Schema rather than a document type definition (DTD). To ensure flexibility, the XML Schema must incorporate aspects of Object-Oriented Modeling. This impinges on the choice of the data model, which, in turn, is based on the organization of bioinformatics data by biologists. Thus, there is a need for the general bioinformatics community to be aware of the design issues relating to XML Schema. This paper, which is aimed at a general bioinformatics audience, uses examples to describe the differences between a DTD and an XML Schema and indicates how Unified Modeling Language diagrams may be used to incorporate Object-Oriented Modeling in the design of schema.
Leif, Robert C.; Leif, Stephanie H.
2016-04-01
Introduction: The International Society for Advancement of Cytometry (ISAC) has created a standard for the Minimum Information about a Flow Cytometry Experiment (MIFlowCyt 1.0). CytometryML will serve as a common metadata standard for flow and image cytometry (digital microscopy). Methods: The MIFlowCyt data-types were created, as is the rest of CytometryML, in the XML Schema Definition Language (XSD1.1). The datatypes are primarily based on the Flow Cytometry and the Digital Imaging and Communication (DICOM) standards. A small section of the code was formatted with standard HTML formatting elements (p, h1, h2, etc.). Results:1) The part of MIFlowCyt that describes the Experimental Overview including the specimen and substantial parts of several other major elements has been implemented as CytometryML XML schemas (www.cytometryml.org). 2) The feasibility of using MIFlowCyt to provide the combination of an overview, table of contents, and/or an index of a scientific paper or a report has been demonstrated. Previously, a sample electronic publication, EPUB, was created that could contain both MIFlowCyt metadata as well as the binary data. Conclusions: The use of CytometryML technology together with XHTML5 and CSS permits the metadata to be directly formatted and together with the binary data to be stored in an EPUB container. This will facilitate: formatting, data- mining, presentation, data verification, and inclusion in structured research, clinical, and regulatory documents, as well as demonstrate a publication's adherence to the MIFlowCyt standard, promote interoperability and should also result in the textual and numeric data being published using web technology without any change in composition.
Warner, Seth
1990-01-01
Standard text provides an exceptionally comprehensive treatment of every aspect of modern algebra. Explores algebraic structures, rings and fields, vector spaces, polynomials, linear operators, much more. Over 1,300 exercises. 1965 edition.
Goodstein, R L
2007-01-01
This elementary treatment by a distinguished mathematician employs Boolean algebra as a simple medium for introducing important concepts of modern algebra. Numerous examples appear throughout the text, plus full solutions.
The Cadmio XML healthcare record.
Barbera, Francesco; Ferri, Fernando; Ricci, Fabrizio L; Sottile, Pier Angelo
2002-01-01
The management of clinical data is a complex task. Patient related information reported in patient folders is a set of heterogeneous and structured data accessed by different users having different goals (in local or geographical networks). XML language provides a mechanism for describing, manipulating, and visualising structured data in web-based applications. XML ensures that the structured data is managed in a uniform and transparent manner independently from the applications and their providers guaranteeing some interoperability. Extracting data from the healthcare record and structuring them according to XML makes the data available through browsers. The MIC/MIE model (Medical Information Category/Medical Information Elements), which allows the definition and management of healthcare records and used in CADMIO, a HISA based project, is described in this paper, using XML for allowing the data to be visualised through web browsers.
DEFF Research Database (Denmark)
2009-01-01
XML specifications for DanRIS (Danish Registration- og InformationsSystem), where the the aim is: Improved exchange of data Improved data processing Ensuring future access to all gathered data from the year 1999 until now......XML specifications for DanRIS (Danish Registration- og InformationsSystem), where the the aim is: Improved exchange of data Improved data processing Ensuring future access to all gathered data from the year 1999 until now...
XML Persistence in Relational Databases
Boháč, Martin
2010-01-01
Cílem této diplomové práce je vytvoření klienta xDB databáze se schopností vizualizace a správy XML dokumentů a schémat. Úvodní část se věnuje seznámení s jazykem XML, schématy XML (DTD, XML Schema, RelaxNG aj.) a se souvisejícími technologiemi. Poté se práce zabývá problémem perzistence XML a zaměřuje se na techniky mapování nutné pro efektivní ukládání do relační databáze. Hlavní část je věnovaná návrhu a implementaci klientské aplikace XML Admin, která je naprogramovaná v jazyce Java. Apli...
Leibniz Algebras and Lie Algebras
Directory of Open Access Journals (Sweden)
Geoffrey Mason
2013-10-01
Full Text Available This paper concerns the algebraic structure of finite-dimensional complex Leibniz algebras. In particular, we introduce left central and symmetric Leibniz algebras, and study the poset of Lie subalgebras using an associative bilinear pairing taking values in the Leibniz kernel.
Ford, Timothy J
2017-01-01
This book presents a comprehensive introduction to the theory of separable algebras over commutative rings. After a thorough introduction to the general theory, the fundamental roles played by separable algebras are explored. For example, Azumaya algebras, the henselization of local rings, and Galois theory are rigorously introduced and treated. Interwoven throughout these applications is the important notion of étale algebras. Essential connections are drawn between the theory of separable algebras and Morita theory, the theory of faithfully flat descent, cohomology, derivations, differentials, reflexive lattices, maximal orders, and class groups. The text is accessible to graduate students who have finished a first course in algebra, and it includes necessary foundational material, useful exercises, and many nontrivial examples.
ADASS Web Database XML Project
Barg, M. I.; Stobie, E. B.; Ferro, A. J.; O'Neil, E. J.
In the spring of 2000, at the request of the ADASS Program Organizing Committee (POC), we began organizing information from previous ADASS conferences in an effort to create a centralized database. The beginnings of this database originated from data (invited speakers, participants, papers, etc.) extracted from HyperText Markup Language (HTML) documents from past ADASS host sites. Unfortunately, not all HTML documents are well formed and parsing them proved to be an iterative process. It was evident at the beginning that if these Web documents were organized in a standardized way, such as XML (Extensible Markup Language), the processing of this information across the Web could be automated, more efficient, and less error prone. This paper will briefly review the many programming tools available for processing XML, including Java, Perl and Python, and will explore the mapping of relational data from our MySQL database to XML.
International Nuclear Information System (INIS)
Odesskii, A V
2002-01-01
This survey is devoted to associative Z ≥0 -graded algebras presented by n generators and n(n-1)/2 quadratic relations and satisfying the so-called Poincare-Birkhoff-Witt condition (PBW-algebras). Examples are considered of such algebras, depending on two continuous parameters (namely, on an elliptic curve and a point on it), that are flat deformations of the polynomial ring in n variables. Diverse properties of these algebras are described, together with their relations to integrable systems, deformation quantization, moduli spaces, and other directions of modern investigations
National Research Council Canada - National Science Library
Hartshorne, Robin
1977-01-01
.... 141 BECKERIWEISPFENNINGIKREDEL. Grabner Bases. A Computational Approach to Commutative Algebra. 142 LANG. Real and Functional Analysis. 3rd ed. 143 DOOB. Measure Theory. 144 DENNIS/FARB. Noncommutat...
MedlinePlus XML Data Sources MedlinePlus Web Service The MedlinePlus Web service accepts keyword searches as requests and returns relevant health topics in ranked order in XML format. The Web service provides access to all ...
Updating Recursive XML Views of Relations
DEFF Research Database (Denmark)
Choi, Byron; Cong, Gao; Fan, Wenfei
2009-01-01
This paper investigates the view update problem for XML views published from relational data. We consider XML views defined in terms of mappings directed by possibly recursive DTDs compressed into DAGs and stored in relations. We provide new techniques to efficiently support XML view updates...... specified in terms of XPath expressions with recursion and complex filters. The interaction between XPath recursion and DAG compression of XML views makes the analysis of the XML view update problem rather intriguing. Furthermore, many issues are still open even for relational view updates, and need...... to be explored. In response to these, on the XML side, we revise the notion of side effects and update semantics based on the semantics of XML views, and present effecient algorithms to translate XML updates to relational view updates. On the relational side, we propose a mild condition on SPJ views, and show...
XWeB: The XML Warehouse Benchmark
Mahboubi, Hadj; Darmont, Jérôme
With the emergence of XML as a standard for representing business data, new decision support applications are being developed. These XML data warehouses aim at supporting On-Line Analytical Processing (OLAP) operations that manipulate irregular XML data. To ensure feasibility of these new tools, important performance issues must be addressed. Performance is customarily assessed with the help of benchmarks. However, decision support benchmarks do not currently support XML features. In this paper, we introduce the XML Warehouse Benchmark (XWeB), which aims at filling this gap. XWeB derives from the relational decision support benchmark TPC-H. It is mainly composed of a test data warehouse that is based on a unified reference model for XML warehouses and that features XML-specific structures, and its associate XQuery decision support workload. XWeB's usage is illustrated by experiments on several XML database management systems.
Specifying OLAP Cubes On XML Data
DEFF Research Database (Denmark)
Jensen, Mikael Rune; Møller, Thomas Holmgren; Pedersen, Torben Bach
. Extensible Markup Language (XML) is fast becoming the new standard for data representation and exchange on the World Wide Web. The rapid emergence of XML data on the web, e.g., business-to-business (B2B) ecommerce, is making it necessary for OLAP and other data analysis tools to handleXML data as well......, an integration architecture that allows the logical integration of XML and relational data sources for use by OLAP tools is presented....
Statistical Language Models for Intelligent XML Retrieval
Hiemstra, Djoerd; Blanken, Henk; Grabs, T.; Schek, H-J.; Schenkel, R.; Weikum, G.
2003-01-01
The XML standards that are currently emerging have a number of characteristics that can also be found in database management systems, like schemas (DTDs and XML schema) and query languages (XPath and XQuery). Following this line of reasoning, an XML database might resemble traditional database
Statistical language Models for Intelligent XML Retrieval
Hiemstra, Djoerd; Blanken, H.M.; Grabs, T.; Schek, H-J.; Schenkel, R.; Weikum, G.
2003-01-01
The XML standards that are currently emerging have a number of characteristics that can also be found in database management systems, like schemas (DTDs and XML schema) and query languages (XPath and XQuery). Following this line of reasoning, an XML database might resemble traditional database
African Journals Online (AJOL)
Tadesse
Department of Mathematics, Faculty of Computer and Mathematical Sciences, Addis Ababa. University, Addis Ababa, Ethiopia(*drkvenkateswarlu@gmail.com, **berhanufk@yahoo.co.uk). ABSTRACT. In this paper we introduce the concept of implicative algebras which is an equivalent definition of lattice implication algebra ...
African Journals Online (AJOL)
Tadesse
metric space. Also we prove that every implicative algebra can be made into a regular. Autometrized Algebra of Swamy (1964) (see theorem 2.9). We recall the definition of Xu (1993). Defintion [2]: Let (L,∨,∧,0,1) be a bounded lattice with order reversing involution. “ ' ”and a binary operation → satisfying the following ...
Linear Algebra and Smarandache Linear Algebra
Vasantha, Kandasamy
2003-01-01
The present book, on Smarandache linear algebra, not only studies the Smarandache analogues of linear algebra and its applications, it also aims to bridge the need for new research topics pertaining to linear algebra, purely in the algebraic sense. We have introduced Smarandache semilinear algebra, Smarandache bilinear algebra and Smarandache anti-linear algebra and their fuzzy equivalents. Moreover, in this book, we have brought out the study of linear algebra and vector spaces over finite p...
Using XML to encode TMA DES metadata.
Lyttleton, Oliver; Wright, Alexander; Treanor, Darren; Lewis, Paul
2011-01-01
The Tissue Microarray Data Exchange Specification (TMA DES) is an XML specification for encoding TMA experiment data. While TMA DES data is encoded in XML, the files that describe its syntax, structure, and semantics are not. The DTD format is used to describe the syntax and structure of TMA DES, and the ISO 11179 format is used to define the semantics of TMA DES. However, XML Schema can be used in place of DTDs, and another XML encoded format, RDF, can be used in place of ISO 11179. Encoding all TMA DES data and metadata in XML would simplify the development and usage of programs which validate and parse TMA DES data. XML Schema has advantages over DTDs such as support for data types, and a more powerful means of specifying constraints on data values. An advantage of RDF encoded in XML over ISO 11179 is that XML defines rules for encoding data, whereas ISO 11179 does not. We created an XML Schema version of the TMA DES DTD. We wrote a program that converted ISO 11179 definitions to RDF encoded in XML, and used it to convert the TMA DES ISO 11179 definitions to RDF. We validated a sample TMA DES XML file that was supplied with the publication that originally specified TMA DES using our XML Schema. We successfully validated the RDF produced by our ISO 11179 converter with the W3C RDF validation service. All TMA DES data could be encoded using XML, which simplifies its processing. XML Schema allows datatypes and valid value ranges to be specified for CDEs, which enables a wider range of error checking to be performed using XML Schemas than could be performed using DTDs.
Using XML to encode TMA DES metadata
Directory of Open Access Journals (Sweden)
Oliver Lyttleton
2011-01-01
Full Text Available Background: The Tissue Microarray Data Exchange Specification (TMA DES is an XML specification for encoding TMA experiment data. While TMA DES data is encoded in XML, the files that describe its syntax, structure, and semantics are not. The DTD format is used to describe the syntax and structure of TMA DES, and the ISO 11179 format is used to define the semantics of TMA DES. However, XML Schema can be used in place of DTDs, and another XML encoded format, RDF, can be used in place of ISO 11179. Encoding all TMA DES data and metadata in XML would simplify the development and usage of programs which validate and parse TMA DES data. XML Schema has advantages over DTDs such as support for data types, and a more powerful means of specifying constraints on data values. An advantage of RDF encoded in XML over ISO 11179 is that XML defines rules for encoding data, whereas ISO 11179 does not. Materials and Methods: We created an XML Schema version of the TMA DES DTD. We wrote a program that converted ISO 11179 definitions to RDF encoded in XML, and used it to convert the TMA DES ISO 11179 definitions to RDF. Results: We validated a sample TMA DES XML file that was supplied with the publication that originally specified TMA DES using our XML Schema. We successfully validated the RDF produced by our ISO 11179 converter with the W3C RDF validation service. Conclusions: All TMA DES data could be encoded using XML, which simplifies its processing. XML Schema allows datatypes and valid value ranges to be specified for CDEs, which enables a wider range of error checking to be performed using XML Schemas than could be performed using DTDs.
Scripting XML with Generic Haskell
Atanassow, F.; Clarke, D.; Jeuring, J.T.
2007-01-01
A generic program is written once and works on values of many data types. Generic Haskell is a recent extension of the functional programming language Haskell that supports generic programming. This paper discusses how Generic Haskell can be used to implement XML tools whose behaviour depends on
Scripting XML with Generic Haskell
Atanassow, F.; Clarke, D.; Jeuring, J.T.
2003-01-01
A generic program is written once and works on values of many data types. Generic Haskell is a recent extension of the functional programming language Haskell that supports generic programming. This paper discusses how Generic Haskell can be used to implement XML tools whose behaviour depends on
Static Analysis for Dynamic XML
DEFF Research Database (Denmark)
Christensen, Aske Simon; Møller, Anders; Schwartzbach, Michael Ignatieff
2002-01-01
We describe the summary graph lattice for dataflow analysis of programs that dynamically construct XML documents. Summary graphs have successfully been used to provide static guarantees in the JWIG language for programming interactive Web services. In particular, the JWIG compiler is able to check...
XML for catalogers and metadata librarians
Cole, Timothy W
2013-01-01
How are today's librarians to manage and describe the everexpanding volumes of resources, in both digital and print formats? The use of XML in cataloging and metadata workflows can improve metadata quality, the consistency of cataloging workflows, and adherence to standards. This book is intended to enable current and future catalogers and metadata librarians to progress beyond a bare surfacelevel acquaintance with XML, thereby enabling them to integrate XML technologies more fully into their cataloging workflows. Building on the wealth of work on library descriptive practices, cataloging, and metadata, XML for Catalogers and Metadata Librarians explores the use of XML to serialize, process, share, and manage library catalog and metadata records. The authors' expert treatment of the topic is written to be accessible to those with little or no prior practical knowledge of or experience with how XML is used. Readers will gain an educated appreciation of the nuances of XML and grasp the benefit of more advanced ...
Fine, Henry Burchard
2005-01-01
At the beginning of the twentieth century, college algebra was taught differently than it is nowadays. There are many topics that are now part of calculus or analysis classes. Other topics are covered only in abstract form in a modern algebra class on field theory. Fine's College Algebra offers the reader a chance to learn the origins of a variety of topics taught in today's curriculum, while also learning valuable techniques that, in some cases, are almost forgotten. In the early 1900s, methods were often emphasized, rather than abstract principles. In this book, Fine includes detailed discus
Garrett, Paul B
2007-01-01
Designed for an advanced undergraduate- or graduate-level course, Abstract Algebra provides an example-oriented, less heavily symbolic approach to abstract algebra. The text emphasizes specifics such as basic number theory, polynomials, finite fields, as well as linear and multilinear algebra. This classroom-tested, how-to manual takes a more narrative approach than the stiff formalism of many other textbooks, presenting coherent storylines to convey crucial ideas in a student-friendly, accessible manner. An unusual feature of the text is the systematic characterization of objects by universal
Kolman, Bernard
1985-01-01
College Algebra, Second Edition is a comprehensive presentation of the fundamental concepts and techniques of algebra. The book incorporates some improvements from the previous edition to provide a better learning experience. It provides sufficient materials for use in the study of college algebra. It contains chapters that are devoted to various mathematical concepts, such as the real number system, the theory of polynomial equations, exponential and logarithmic functions, and the geometric definition of each conic section. Progress checks, warnings, and features are inserted. Every chapter c
Holme, Audun
1988-01-01
This volume presents selected papers resulting from the meeting at Sundance on enumerative algebraic geometry. The papers are original research articles and concentrate on the underlying geometry of the subject.
McKeague, Charles P
1986-01-01
Elementary Algebra, Third Edition focuses on the basic principles, operations, and approaches involved in elementary algebra. The book first ponders on the basics, linear equations and inequalities, and graphing and linear systems. Discussions focus on the elimination method, solving linear systems by graphing, word problems, addition property of equality, solving linear equations, linear inequalities, addition and subtraction of real numbers, and properties of real numbers. The text then takes a look at exponents and polynomials, factoring, and rational expressions. Topics include reducing ra
McKeague, Charles P
1981-01-01
Elementary Algebra 2e, Second Edition focuses on the basic principles, operations, and approaches involved in elementary algebra. The book first tackles the basics, linear equations and inequalities, and graphing and linear systems. Discussions focus on the substitution method, solving linear systems by graphing, solutions to linear equations in two variables, multiplication property of equality, word problems, addition property of equality, and subtraction, addition, multiplication, and division of real numbers. The manuscript then examines exponents and polynomials, factoring, and rational e
Zeng, Qiang; Yao, Zhihong; Liu, Lei
2011-03-01
Digital Imaging and Communications in Medicine (DICOM) is a standard for handling, storing, printing, and transmitting information in medical imaging. XML (Extensible Markup Language) is a set of rules for encoding documents in machine-readable form which has become more and more popular. The combination of these two is very necessary and promising. Using XML tags instead of numeric labels in DICOM files will effectively increase the readability and enhance the clear hierarchical structure of DICOM files. However, due to the fact that the XML tags rely heavily on the orders of the tags, the strong data dependency has a lot of influence on the flexibility of inserting and exchanging data. In order to improve the extensibility and sharing of DICOM files, this paper introduces XML Path-Tag to DICOM. When a DICOM file is converted to XML format, adding simple Path-Tag into the DICOM file in place of complex tags will keep the flexibility of a DICOM file while inserting data elements and give full play to the advantages of the structure and readability of an XML file. Our method can solve the weak readability problem of DICOM files and the tedious work of inserting data into an XML file. In addition, we set up a conversion engine that can transform among traditional DICOM files, XML-DCM and XML-DCM files involving XML Path-Tag efficiently.
Analytical Processing of XML documents
Melichárek, Petr
2008-01-01
In this diploma thesis we present XQuery analytic extension containing clauses well known from SQL language - group by, roll up and cube. In addition we introduce new clause, called topological roll up. The native XML database eXist is an environment for the extension implementation. We add a module, containing earlier mentioned clauses, to the eXist database. We can use implemented clauses as user de ned functions in XQuery language for querying database's documents. Tests have proved that f...
XML Translator for Interface Descriptions
Boroson, Elizabeth R.
2009-01-01
A computer program defines an XML schema for specifying the interface to a generic FPGA from the perspective of software that will interact with the device. This XML interface description is then translated into header files for C, Verilog, and VHDL. User interface definition input is checked via both the provided XML schema and the translator module to ensure consistency and accuracy. Currently, programming used on both sides of an interface is inconsistent. This makes it hard to find and fix errors. By using a common schema, both sides are forced to use the same structure by using the same framework and toolset. This makes for easy identification of problems, which leads to the ability to formulate a solution. The toolset contains constants that allow a programmer to use each register, and to access each field in the register. Once programming is complete, the translator is run as part of the make process, which ensures that whenever an interface is changed, all of the code that uses the header files describing it is recompiled.
XML technology planning database : lessons learned
Some, Raphael R.; Neff, Jon M.
2005-01-01
A hierarchical Extensible Markup Language(XML) database called XCALIBR (XML Analysis LIBRary) has been developed by Millennium Program to assist in technology investment (ROI) analysis and technology Language Capability the New return on portfolio optimization. The database contains mission requirements and technology capabilities, which are related by use of an XML dictionary. The XML dictionary codifies a standardized taxonomy for space missions, systems, subsystems and technologies. In addition to being used for ROI analysis, the database is being examined for use in project planning, tracking and documentation. During the past year, the database has moved from development into alpha testing. This paper describes the lessons learned during construction and testing of the prototype database and the motivation for moving from an XML taxonomy to a standard XML-based ontology.
XML Schema Representation of DICOM Structured Reporting.
Lee, K P; Hu, Jingkun
2003-01-01
The Digital Imaging and Communications in Medicine (DICOM) Structured Reporting (SR) standard improves the expressiveness, precision, and comparability of documentation about diagnostic images and waveforms. It supports the interchange of clinical reports in which critical features shown by images and waveforms can be denoted unambiguously by the observer, indexed, and retrieved selectively by subsequent reviewers. It is essential to provide access to clinical reports across the health care enterprise by using technologies that facilitate information exchange and processing by computers as well as provide support for robust and semantically rich standards, such as DICOM. This is supported by the current trend in the healthcare industry towards the use of Extensible Markup Language (XML) technologies for storage and exchange of medical information. The objective of the work reported here is to develop XML Schema for representing DICOM SR as XML documents. We briefly describe the document type definition (DTD) for XML and its limitations, followed by XML Schema (the intended replacement for DTD) and its features. A framework for generating XML Schema for representing DICOM SR in XML is presented next. None applicable. A schema instance based on an SR example in the DICOM specification was created and validated against the schema. The schema is being used extensively in producing reports on Philips Medical Systems ultrasound equipment. With the framework described it is feasible to generate XML Schema using the existing DICOM SR specification. It can also be applied to generate XML Schemas for other DICOM information objects.
Static Analysis of XML Transformations in Java
DEFF Research Database (Denmark)
Kirkegaard, Christian; Møller, Anders; Schwartzbach, Michael I.
2004-01-01
Abstract--XML documents generated dynamically by programs are typically represented as text strings or DOM trees. This is a low-level approach for several reasons: 1) Traversing and modifying such structures can be tedious and error prone, 2) although schema languages, e.g., DTD, allow classes...... of XML documents to be defined, there are generally no automatic mechanisms for statically checking that a program transforms from one class to another as intended. We introduce Xact, a high-level approach for Java using XML templates as a first-class data type with operations for manipulating XML values...
XML Publishing with Adobe InDesign
Hoskins, Dorothy
2010-01-01
From Adobe InDesign CS2 to InDesign CS5, the ability to work with XML content has been built into every version of InDesign. Some of the useful applications are importing database content into InDesign to create catalog pages, exporting XML that will be useful for subsequent publishing processes, and building chunks of content that can be reused in multiple publications. In this Short Cut, we'll play with the contents of a college course catalog and see how we can use XML for course descriptions, tables, and other content. Underlying principles of XML structure, DTDs, and the InDesign namesp
Liesen, Jörg
2015-01-01
This self-contained textbook takes a matrix-oriented approach to linear algebra and presents a complete theory, including all details and proofs, culminating in the Jordan canonical form and its proof. Throughout the development, the applicability of the results is highlighted. Additionally, the book presents special topics from applied linear algebra including matrix functions, the singular value decomposition, the Kronecker product and linear matrix equations. The matrix-oriented approach to linear algebra leads to a better intuition and a deeper understanding of the abstract concepts, and therefore simplifies their use in real world applications. Some of these applications are presented in detailed examples. In several ‘MATLAB-Minutes’ students can comprehend the concepts and results using computational experiments. Necessary basics for the use of MATLAB are presented in a short introduction. Students can also actively work with the material and practice their mathematical skills in more than 300 exerc...
Edwards, Harold M
1995-01-01
In his new undergraduate textbook, Harold M Edwards proposes a radically new and thoroughly algorithmic approach to linear algebra Originally inspired by the constructive philosophy of mathematics championed in the 19th century by Leopold Kronecker, the approach is well suited to students in the computer-dominated late 20th century Each proof is an algorithm described in English that can be translated into the computer language the class is using and put to work solving problems and generating new examples, making the study of linear algebra a truly interactive experience Designed for a one-semester course, this text adopts an algorithmic approach to linear algebra giving the student many examples to work through and copious exercises to test their skills and extend their knowledge of the subject Students at all levels will find much interactive instruction in this text while teachers will find stimulating examples and methods of approach to the subject
XML documents cluster research based on frequent subpatterns
Ding, Tienan; Li, Wei; Li, Xiongfei
2015-12-01
XML data is widely used in the information exchange field of Internet, and XML document data clustering is the hot research topic. In the XML document clustering process, measure differences between two XML documents is time costly, and impact the efficiency of XML document clustering. This paper proposed an XML documents clustering method based on frequent patterns of XML document dataset, first proposed a coding tree structure for encoding the XML document, and translate frequent pattern mining from XML documents into frequent pattern mining from string. Further, using the cosine similarity calculation method and cohesive hierarchical clustering method for XML document dataset by frequent patterns. Because of frequent patterns are subsets of the original XML document data, so the time consumption of XML document similarity measure is reduced. The experiment runs on synthetic dataset and the real datasets, the experimental result shows that our method is efficient.
Bell, Eric T
1927-01-01
The central topic of this book is the presentation of the author's principle of arithmetical paraphrases, which won him the BÃ´cher Prize in 1924. This general principle served to unify and extend many isolated results in the theory of numbers. The author successfully provides a systematic attempt to find a unified theory for each of various classes of related important problems in the theory of numbers, including its interrelations with algebra and analysis. This book will be of interest to advanced students in various branches of mathematics, including number theory, abstract algebra, ellipti
Jacobson, Nathan
1979-01-01
Lie group theory, developed by M. Sophus Lie in the 19th century, ranks among the more important developments in modern mathematics. Lie algebras comprise a significant part of Lie group theory and are being actively studied today. This book, by Professor Nathan Jacobson of Yale, is the definitive treatment of the subject and can be used as a textbook for graduate courses.Chapter I introduces basic concepts that are necessary for an understanding of structure theory, while the following three chapters present the theory itself: solvable and nilpotent Lie algebras, Carlan's criterion and its
Stoll, R R
1968-01-01
Linear Algebra is intended to be used as a text for a one-semester course in linear algebra at the undergraduate level. The treatment of the subject will be both useful to students of mathematics and those interested primarily in applications of the theory. The major prerequisite for mastering the material is the readiness of the student to reason abstractly. Specifically, this calls for an understanding of the fact that axioms are assumptions and that theorems are logical consequences of one or more axioms. Familiarity with calculus and linear differential equations is required for understand
Jacobson, Nathan
2009-01-01
A classic text and standard reference for a generation, this volume and its companion are the work of an expert algebraist who taught at Yale for two decades. Nathan Jacobson's books possess a conceptual and theoretical orientation, and in addition to their value as classroom texts, they serve as valuable references.Volume I explores all of the topics typically covered in undergraduate courses, including the rudiments of set theory, group theory, rings, modules, Galois theory, polynomials, linear algebra, and associative algebra. Its comprehensive treatment extends to such rigorous topics as L
Oliver, Bob; Pawałowski, Krzystof
1991-01-01
As part of the scientific activity in connection with the 70th birthday of the Adam Mickiewicz University in Poznan, an international conference on algebraic topology was held. In the resulting proceedings volume, the emphasis is on substantial survey papers, some presented at the conference, some written subsequently.
Indian Academy of Sciences (India)
tion - 6. How Architectural Features Affect. Building During Earthquakes? C VRMurty. 48 Turbulence and Dispersion. K 5 Gandhi. BOOK REVIEWS. 86 Algebraic Topology. Siddhartha Gadgil. Front Cover. - .. ..-.......... -. Back Cover. Two-dimensional vertical section through a turbulent plume. (Courtesy: G S Shat, CAOS, IISc.).
On the effectiveness of XML schema validation for countering XML signature wrapping attacks
DEFF Research Database (Denmark)
Jensen, Meiko; Meyer, Christopher; Somorovsky, Juraj
2011-01-01
In the context of security of Web Services, the XML Signature Wrapping attack technique has lately received increasing attention. Following a broad range of real-world exploits, general interest in applicable countermeasures rises. However, few approaches for countering these attacks have been...... investigated closely enough to make any claims about their effectiveness. In this paper, we analyze the effectiveness of the specific countermeasure of XML Schema validation in terms of fending Signature Wrapping attacks. We investigate the problems of XML Schema validation for Web Services messages......, and discuss the approach of Schema Hardening, a technique for strengthening XML Schema declarations. We conclude that XML Schema validation with a hardened XML Schema is capable of fending XML Signature Wrapping attacks, but bears some pitfalls and disadvantages as well....
Get It Together: Integrating Data with XML.
Miller, Ron
2003-01-01
Discusses the use of XML for data integration to move data across different platforms, including across the Internet, from a variety of sources. Topics include flexibility; standards; organizing databases; unstructured data and the use of meta tags to encode it with XML information; cost effectiveness; and eliminating client software licenses.…
Web-Based Distributed XML Query Processing
Smiljanic, M.; Feng, L.; Jonker, Willem; Blanken, Henk; Grabs, T.; Schek, H-J.; Schenkel, R.; Weikum, G.
2003-01-01
Web-based distributed XML query processing has gained in importance in recent years due to the widespread popularity of XML on the Web. Unlike centralized and tightly coupled distributed systems, Web-based distributed database systems are highly unpredictable and uncontrollable, with a rather
The OLAP-XML Federation System
DEFF Research Database (Denmark)
Yin, Xuepeng; Pedersen, Torben Bach
2006-01-01
We present the logical “OLAP-XML Federation System” that enables the external data available in XML format to be used as virtual dimensions. Unlike the complex and time-consuming physical integration of OLAP and external data in current OLAP systems, our system makes OLAP queries referencing fast...
Czech Academy of Sciences Publication Activity Database
Brechlerová, Dagmar
2007-01-01
Roč. 9, č. 1 (2007), s. 13-25 ISSN 1801-2140 R&D Projects: GA AV ČR 1ET200300413 Institutional research plan: CEZ:AV0Z10300504 Keywords : XML security * XML digitální podpis * XKMS Subject RIV: IN - Informatics, Computer Science http://crypto-world.info/index2.php
How will XML impact industrial automation?
Pinceti, P
2002-01-01
A working group of the World Wide Web Consortium (W3C) has overcome the limits of both HTML and SGML with the definition of the extensible markup language - XML. This article looks at how XML will affect industrial automation (2 pages).
TIJAH: embracing IR methods in XML databases
J.A. List; V. Mihajlovic; G. Ramirez Camps (Georgina); A.P. de Vries (Arjen); D. Hiemstra; H.E. Blok
2005-01-01
textabstractThis paper discusses our participation in INEX (the Initiative for the Evaluation of XML Retrieval) using the TIJAH XML-IR system. TIJAH's system design follows a `standard' layered database architecture, carefully separating the conceptual, logical and physical levels. At the conceptual
Type Checking with XML Schema in XACT
DEFF Research Database (Denmark)
Kirkegaard, Christian; Møller, Anders
ACT is an extension of Java for making type-safe XML transformations. Unlike other approaches, XACT provides a programming model based on XML templates and XPath together with a type checker based on data-flow analysis. We show how to extend the data-flow analysis technique used in the XACT system...... to support XML Schema as type formalism. The technique is able to model advanced features, such as type derivations and overloaded local element declarations, and also datatypes of attribute values and character data. Moreover, we introduce optional type annotations to improve modularity of the type checking....... The resulting system supports a flexible style of programming XML transformations and provides static guarantees of validity of the generated XML data....
Algebraic characterizations of measure algebras
Czech Academy of Sciences Publication Activity Database
Jech, Thomas
2008-01-01
Roč. 136, č. 4 (2008), s. 1285-1294 ISSN 0002-9939 R&D Projects: GA AV ČR IAA100190509 Institutional research plan: CEZ:AV0Z10190503 Keywords : Von - Neumann * sequential topology * Boolean-algebras * Souslins problem * Submeasures Subject RIV: BA - General Mathematics Impact factor: 0.584, year: 2008
International Nuclear Information System (INIS)
Mohammad, N.; Siddiqui, A.H.
1987-11-01
The notion of a 2-Banach algebra is introduced and its structure is studied. After a short discussion of some fundamental properties of bivectors and tensor product, several classical results of Banach algebras are extended to the 2-Banach algebra case. A condition under which a 2-Banach algebra becomes a Banach algebra is obtained and the relation between algebra of bivectors and 2-normed algebra is discussed. 11 refs
Mulligan, Jeffrey B.
2017-01-01
A color algebra refers to a system for computing sums and products of colors, analogous to additive and subtractive color mixtures. The difficulty addressed here is the fact that, because of metamerism, we cannot know with certainty the spectrum that produced a particular color solely on the basis of sensory data. Knowledge of the spectrum is not required to compute additive mixture of colors, but is critical for subtractive (multiplicative) mixture. Therefore, we cannot predict with certainty the multiplicative interactions between colors based solely on sensory data. There are two potential applications of a color algebra: first, to aid modeling phenomena of human visual perception, such as color constancy and transparency; and, second, to provide better models of the interactions of lights and surfaces for computer graphics rendering.
Czech Academy of Sciences Publication Activity Database
Zuevsky, Alexander
2018-01-01
Roč. 16, č. 1 (2018), s. 1-8 ISSN 2391-5455 Institutional support: RVO:67985840 Keywords : Kac-Moody Lie algebras * cocycles Subject RIV: BA - General Mathematics OBOR OECD: Pure mathematics Impact factor: 0.682, year: 2016 https://www.degruyter.com/view/j/math.2018.16.issue-1/math-2018-0002/math-2018-0002. xml
Czech Academy of Sciences Publication Activity Database
Zuevsky, Alexander
2018-01-01
Roč. 16, č. 1 (2018), s. 1-8 ISSN 2391-5455 Institutional support: RVO:67985840 Keywords : Kac-Moody Lie algebras * cocycles Subject RIV: BA - General Mathematics OBOR OECD: Pure mathematics Impact factor: 0.682, year: 2016 https://www.degruyter.com/view/j/math.2018.16.issue-1/math-2018-0002/math-2018-0002.xml
XML, TEI, and Digital Libraries in the Humanities.
Nellhaus, Tobin
2001-01-01
Describes the history and major features of XML and TEI, discusses their potential utility for the creation of digital libraries, and focuses on XML's application in the humanities, particularly theater and drama studies. Highlights include HTML and hyperlinks; the impact of XML on text encoding and document access; and XML and academic…
An Introduction to the Extensible Markup Language (XML).
Bryan, Martin
1998-01-01
Describes Extensible Markup Language (XML), a subset of the Standard Generalized Markup Language (SGML) that is designed to make it easy to interchange structured documents over the Internet. Topics include Document Type Definition (DTD), components of XML, the use of XML, text and non-text elements, and uses for XML-coded files. (LRW)
Iachello, F
1995-01-01
1. The Wave Mechanics of Diatomic Molecules. 2. Summary of Elements of Algebraic Theory. 3. Mechanics of Molecules. 4. Three-Body Algebraic Theory. 5. Four-Body Algebraic Theory. 6. Classical Limit and Coordinate Representation. 8. Prologue to the Future. Appendices. Properties of Lie Algebras; Coupling of Algebras; Hamiltonian Parameters
An Introduction to XML and Web Technologies
DEFF Research Database (Denmark)
Møller, Anders; Schwartzbach, Michael Ignatieff
, building on top of the early foundations. This book offers a comprehensive introduction to the area. There are two main threads of development, corresponding to the two parts of this book. XML technologies generalize the notion of data on the Web from hypertext documents to arbitrary data, including those...... that have traditionally been the realm of databases. In this book we cover the basic XML technology and the supporting technologies of XPath, DTD, XML Schema, DSD2, RELAX NG, XSLT, XQuery, DOM, JDOM, JAXB, SAX, STX, SDuce, and XACT. Web technologies build on top of the HTTP protocol to provide richer...
Publishing with XML structure, enter, publish
Prost, Bernard
2015-01-01
XML is now at the heart of book publishing techniques: it provides the industry with a robust, flexible format which is relatively easy to manipulate. Above all, it preserves the future: the XML text becomes a genuine tactical asset enabling publishers to respond quickly to market demands. When new publishing media appear, it will be possible to very quickly make your editorial content available at a lower cost. On the downside, XML can become a bottomless pit for publishers attracted by its possibilities. There is a strong temptation to switch to audiovisual production and to add video and a
The duality of XML Markup and Programming notation
DEFF Research Database (Denmark)
Nørmark, Kurt
2003-01-01
In web projects it is often necessary to mix XML notation and program notation in a single document or program. In mono-lingual situations, the XML notation is either subsumed in the program or the program notation is subsumed in the XML document. As an introduction we analyze XML notation...... and programming notation in relation to each other. As the main contribution of the paper we describe a number of general issues to consider when subsuming XML in a given programming language....
Mahé, Louis; Roy, Marie-Françoise
1992-01-01
Ten years after the first Rennes international meeting on real algebraic geometry, the second one looked at the developments in the subject during the intervening decade - see the 6 survey papers listed below. Further contributions from the participants on recent research covered real algebra and geometry, topology of real algebraic varieties and 16thHilbert problem, classical algebraic geometry, techniques in real algebraic geometry, algorithms in real algebraic geometry, semialgebraic geometry, real analytic geometry. CONTENTS: Survey papers: M. Knebusch: Semialgebraic topology in the last ten years.- R. Parimala: Algebraic and topological invariants of real algebraic varieties.- Polotovskii, G.M.: On the classification of decomposing plane algebraic curves.- Scheiderer, C.: Real algebra and its applications to geometry in the last ten years: some major developments and results.- Shustin, E.L.: Topology of real plane algebraic curves.- Silhol, R.: Moduli problems in real algebraic geometry. Further contribu...
International Nuclear Information System (INIS)
Yau, Donald
2011-01-01
We study a twisted generalization of Novikov algebras, called Hom-Novikov algebras, in which the two defining identities are twisted by a linear map. It is shown that Hom-Novikov algebras can be obtained from Novikov algebras by twisting along any algebra endomorphism. All algebra endomorphisms on complex Novikov algebras of dimensions 2 or 3 are computed, and their associated Hom-Novikov algebras are described explicitly. Another class of Hom-Novikov algebras is constructed from Hom-commutative algebras together with a derivation, generalizing a construction due to Dorfman and Gel'fand. Two other classes of Hom-Novikov algebras are constructed from Hom-Lie algebras together with a suitable linear endomorphism, generalizing a construction due to Bai and Meng.
Achieving Adaptivity For OLAP-XML Federations
DEFF Research Database (Denmark)
Pedersen, D.; Pedersen, Torben Bach
2003-01-01
Motivated by the need for more flexible OLAP systems, this paper presents the results of work on logical integration of external data in OLAP databases, carried out in cooperation between the Danish OLAP client vendor \\targit and Aalborg University. Flexibility is ensured by supporting XML...... as the external data format, since almost all data sources can be efficiently wrapped in XML\\@. Earlier work has resulted in an extension of the \\targit system, allowing external XML data to be used as dimensions and measures in OLAP databases. This work has led to a number of new ideas for improving the system......'s ability to adapt to changes in its surroundings. This paper describes the potential problems that may interrupt the operation of the integration system, in particular those caused by the often autonomous and unreliable nature of external XML data sources, and methods for handling these problems...
Advanced Information Retrieval Using XML Standards.
Schweiger, Ralf; Hölzer, Simon; Dudeck, Joachim
2005-01-01
The bulk of clinical data is available in an electronic form. About 80% of the electronic data, however, is narrative text and therefore limited with respect to machine interpretation. As a result, the discussion has shifted from "electronic versus paper based data" towards "structured versus unstructured electronic data". The XML technology of today paves a way towards more structured clinical data and several XML based standards such as the Clinical Document Architecture (CDA) emerge. The implementation of XML based applications is yet a challenge. This paper will focus on XML retrieval issues and describe the difficulties and prospects of such an approach. The result of our work is a search technique called "topic matching" that exploits structured data in order to provide a search quality that is superior to established text matching methods. With this solution we are able to utilize large numbers of heterogeneously structured documents with only a minimum of effort.
Bliss, Gilbert Ames
1933-01-01
This book, immediately striking for its conciseness, is one of the most remarkable works ever produced on the subject of algebraic functions and their integrals. The distinguishing feature of the book is its third chapter, on rational functions, which gives an extremely brief and clear account of the theory of divisors.... A very readable account is given of the topology of Riemann surfaces and of the general properties of abelian integrals. Abel's theorem is presented, with some simple applications. The inversion problem is studied for the cases of genus zero and genus unity. The chapter on t
XML Schema Guide for Primary CDR Submissions
This document presents the extensible markup language (XML) schema guide for the Office of Pollution Prevention and Toxics’ (OPPT) e-CDRweb tool. E-CDRweb is the electronic, web-based tool provided by Environmental Protection Agency (EPA) for the submission of Chemical Data Reporting (CDR) information. This document provides the user with tips and guidance on correctly using the version 1.7 XML schema. Please note that the order of the elements must match the schema.
XML Flight/Ground Data Dictionary Management
Wright, Jesse; Wiklow, Colette
2007-01-01
A computer program generates Extensible Markup Language (XML) files that effect coupling between the command- and telemetry-handling software running aboard a spacecraft and the corresponding software running in ground support systems. The XML files are produced by use of information from the flight software and from flight-system engineering. The XML files are converted to legacy ground-system data formats for command and telemetry, transformed into Web-based and printed documentation, and used in developing new ground-system data-handling software. Previously, the information about telemetry and command was scattered in various paper documents that were not synchronized. The process of searching and reading the documents was time-consuming and introduced errors. In contrast, the XML files contain all of the information in one place. XML structures can evolve in such a manner as to enable the addition, to the XML files, of the metadata necessary to track the changes and the associated documentation. The use of this software has reduced the extent of manual operations in developing a ground data system, thereby saving considerable time and removing errors that previously arose in the translation and transcription of software information from the flight to the ground system.
Grätzer, George
1979-01-01
Universal Algebra, heralded as ". . . the standard reference in a field notorious for the lack of standardization . . .," has become the most authoritative, consistently relied on text in a field with applications in other branches of algebra and other fields such as combinatorics, geometry, and computer science. Each chapter is followed by an extensive list of exercises and problems. The "state of the art" account also includes new appendices (with contributions from B. Jónsson, R. Quackenbush, W. Taylor, and G. Wenzel) and a well-selected additional bibliography of over 1250 papers and books which makes this a fine work for students, instructors, and researchers in the field. "This book will certainly be, in the years to come, the basic reference to the subject." --- The American Mathematical Monthly (First Edition) "In this reviewer's opinion [the author] has more than succeeded in his aim. The problems at the end of each chapter are well-chosen; there are more than 650 of them. The book is especially sui...
Yoneda algebras of almost Koszul algebras
Indian Academy of Sciences (India)
Abstract. Let k be an algebraically closed field, A a finite dimensional connected. (p,q)-Koszul self-injective algebra with p, q ≥ 2. In this paper, we prove that the. Yoneda algebra of A is isomorphic to a twisted polynomial algebra A![t; β] in one inde- terminate t of degree q +1 in which A! is the quadratic dual of A, β is an ...
Miyanishi, Masayoshi
2000-01-01
Open algebraic surfaces are a synonym for algebraic surfaces that are not necessarily complete. An open algebraic surface is understood as a Zariski open set of a projective algebraic surface. There is a long history of research on projective algebraic surfaces, and there exists a beautiful Enriques-Kodaira classification of such surfaces. The research accumulated by Ramanujan, Abhyankar, Moh, and Nagata and others has established a classification theory of open algebraic surfaces comparable to the Enriques-Kodaira theory. This research provides powerful methods to study the geometry and topology of open algebraic surfaces. The theory of open algebraic surfaces is applicable not only to algebraic geometry, but also to other fields, such as commutative algebra, invariant theory, and singularities. This book contains a comprehensive account of the theory of open algebraic surfaces, as well as several applications, in particular to the study of affine surfaces. Prerequisite to understanding the text is a basic b...
Generalized Hermitian Algebras
Foulis, David J.; Pulmannová, Sylvia
2009-05-01
We refer to the real Jordan Banach algebra of bounded Hermitian operators on a Hilbert space as a Hermitian algebra. In this paper we define and launch a study of a class of generalized Hermitian (GH) algebras. Among the examples of GH-algebras are ordered special Jordan algebras, JW-algebras, and AJW-algebras, but unlike these more restricted cases, a GH-algebra is not necessarily a Banach space and its lattice of projections is not necessarily complete. In this paper we develop the basic theory of GH-algebras, identify their unit intervals as effect algebras, and observe that their projection lattices are sigma-complete orthomodular lattices. We show that GH-algebras are spectral order-unit spaces and that they admit a substantial spectral theory.
Universal enveloping algebras for Malcev color algebras
de-la-Concepción, Daniel
2015-01-01
In this paper we give a construction of the universal enveloping algebra of a Malcev algebra in categories of group algebra comodules with a symmetry given by a bicharacter of the group. A particular example of such categories is the category of super vector spaces.
Said-Houari, Belkacem
2017-01-01
This self-contained, clearly written textbook on linear algebra is easily accessible for students. It begins with the simple linear equation and generalizes several notions from this equation for the system of linear equations and introduces the main ideas using matrices. It then offers a detailed chapter on determinants and introduces the main ideas with detailed proofs. The third chapter introduces the Euclidean spaces using very simple geometric ideas and discusses various major inequalities and identities. These ideas offer a solid basis for understanding general Hilbert spaces in functional analysis. The following two chapters address general vector spaces, including some rigorous proofs to all the main results, and linear transformation: areas that are ignored or are poorly explained in many textbooks. Chapter 6 introduces the idea of matrices using linear transformation, which is easier to understand than the usual theory of matrices approach. The final two chapters are more advanced, introducing t...
Indian Academy of Sciences (India)
Introduction and preliminaries. The class of Malcev algebras contains one of the Lie algebras and so a question arises whether some known results on Lie algebras can be extended to the framework of Malcev algebras (see [4, 7, 9, 10]). In the present paper, we are interested in studying the structure of arbitrary Malcev ...
Embeddings of Heyting Algebras
Jongh, D.H.J. de; Visser, A.
In this paper we study embeddings of Heyting Algebras. It is pointed out that such embeddings are naturally connected with Derived Rules. We compare the Heyting Algebras embeddable in the Heyting Algebra of the Intuitionistic Propositional Calculus (IPC), i.e. the free Heyting Algebra on countably
Dzhumadil'daev, A. S.
2002-01-01
Algebras with identity $(a\\star b)\\star (c\\star d) -(a\\star d)\\star(c\\star b)$ $=(a,b,c)\\star d-(a,d,c)\\star b$ are studied. Novikov algebras under Jordan multiplication and Leibniz dual algebras satisfy this identity. If algebra with such identity has unit, then it is associative and commutative.
Introduction to relation algebras relation algebras
Givant, Steven
2017-01-01
The first volume of a pair that charts relation algebras from novice to expert level, this text offers a comprehensive grounding for readers new to the topic. Upon completing this introduction, mathematics students may delve into areas of active research by progressing to the second volume, Advanced Topics in Relation Algebras; computer scientists, philosophers, and beyond will be equipped to apply these tools in their own field. The careful presentation establishes first the arithmetic of relation algebras, providing ample motivation and examples, then proceeds primarily on the basis of algebraic constructions: subalgebras, homomorphisms, quotient algebras, and direct products. Each chapter ends with a historical section and a substantial number of exercises. The only formal prerequisite is a background in abstract algebra and some mathematical maturity, though the reader will also benefit from familiarity with Boolean algebra and naïve set theory. The measured pace and outstanding clarity are particularly ...
International Nuclear Information System (INIS)
Ludu, A.; Greiner, M.
1995-09-01
A non-linear associative algebra is realized in terms of translation and dilation operators, and a wavelet structure generating algebra is obtained. We show that this algebra is a q-deformation of the Fourier series generating algebra, and reduces to this for certain value of the deformation parameter. This algebra is also homeomorphic with the q-deformed su q (2) algebra and some of its extensions. Through this algebraic approach new methods for obtaining the wavelets are introduced. (author). 20 refs
XML, Ontologies, and Their Clinical Applications.
Yu, Chunjiang; Shen, Bairong
2016-01-01
The development of information technology has resulted in its penetration into every area of clinical research. Various clinical systems have been developed, which produce increasing volumes of clinical data. However, saving, exchanging, querying, and exploiting these data are challenging issues. The development of Extensible Markup Language (XML) has allowed the generation of flexible information formats to facilitate the electronic sharing of structured data via networks, and it has been used widely for clinical data processing. In particular, XML is very useful in the fields of data standardization, data exchange, and data integration. Moreover, ontologies have been attracting increased attention in various clinical fields in recent years. An ontology is the basic level of a knowledge representation scheme, and various ontology repositories have been developed, such as Gene Ontology and BioPortal. The creation of these standardized repositories greatly facilitates clinical research in related fields. In this chapter, we discuss the basic concepts of XML and ontologies, as well as their clinical applications.
Yu, Cong; Yao, Zhihong
2010-04-01
To enhance the readability, improve the structure, and facilitate the sharing of digital imaging and communications in medicine (DICOM) files, this research proposed one kind of XML-based DICOM data format. Because XML Schema offers great flexibility for expressing constraints on the content model of elements, we used it to describe the new format, thus making it consistent with the one originally defined by DICOM. Meanwhile, such schemas can be used in the creation and validation of the XML-encoded DICOM files, acting as a standard for data transmission and sharing on the Web. Upon defining the new data format, we started with representing a single data element and further improved the whole data structure with the method of modularization. In contrast to the original format, the new one possesses better structure without loss of related information. In addition, we demonstrated the application of XSLT and XQuery. All of the advantages mentioned above resulted from this new data format.
Modeling business objects with XML schema
Daum, Berthold
2003-01-01
XML Schema is the new language standard from the W3C and the new foundation for defining data in Web-based systems. There is a wealth of information available about Schemas but very little understanding of how to use this highly formal specification for creating documents. Grasping the power of Schemas means going back to the basics of documents themselves, and the semantic rules, or grammars, that define them. Written for schema designers, system architects, programmers, and document authors, Modeling Business Objects with XML Schema guides you through understanding Schemas from the basic concepts, type systems, type derivation, inheritance, namespace handling, through advanced concepts in schema design.*Reviews basic XML syntax and the Schema recommendation in detail.*Builds a knowledge base model step by step (about jazz music) that is used throughout the book.*Discusses Schema design in large environments, best practice design patterns, and Schema''s relation to object-oriented concepts.
XML Based Scientific Data Management Facility
Mehrotra, P.; Zubair, M.; Bushnell, Dennis M. (Technical Monitor)
2002-01-01
The World Wide Web consortium has developed an Extensible Markup Language (XML) to support the building of better information management infrastructures. The scientific computing community realizing the benefits of XML has designed markup languages for scientific data. In this paper, we propose a XML based scientific data management ,facility, XDMF. The project is motivated by the fact that even though a lot of scientific data is being generated, it is not being shared because of lack of standards and infrastructure support for discovering and transforming the data. The proposed data management facility can be used to discover the scientific data itself, the transformation functions, and also for applying the required transformations. We have built a prototype system of the proposed data management facility that can work on different platforms. We have implemented the system using Java, and Apache XSLT engine Xalan. To support remote data and transformation functions, we had to extend the XSLT specification and the Xalan package.
Constructing an XML database of linguistics data
Directory of Open Access Journals (Sweden)
J H Kroeze
2010-04-01
Full Text Available A language-oriented, multi-dimensional database of the linguistic characteristics of the Hebrew text of the Old Testament can enable researchers to do ad hoc queries. XML is a suitable technology to transform free text into a database. A clause’s word order can be kept intact while other features such as syntactic and semantic functions can be marked as elements or attributes. The elements or attributes from the XML “database” can be accessed and proces sed by a 4th generation programming language, such as Visual Basic. XML is explored as an option to build an exploitable database of linguistic data by representing inherently multi-dimensional data, including syntactic and semantic analyses of free text.
International Nuclear Information System (INIS)
1990-07-01
This report contains information on the effects of additional tax incentives for the petroleum production industry. It considers the effects of additional incentives on petroleum production and federal revenues, the federal tax burden on new domestic petroleum production investments under current law, and the comparative tax treatment of petroleum production investments in the United States and other nations
XML for data representation and model specification in neuroscience.
Crook, Sharon M; Howell, Fred W
2007-01-01
EXtensible Markup Language (XML) technology provides an ideal representation for the complex structure of models and neuroscience data, as it is an open file format and provides a language-independent method for storing arbitrarily complex structured information. XML is composed of text and tags that explicitly describe the structure and semantics of the content of the document. In this chapter, we describe some of the common uses of XML in neuroscience, with case studies in representing neuroscience data and defining model descriptions based on examples from NeuroML. The specific methods that we discuss include (1) reading and writing XML from applications, (2) exporting XML from databases, (3) using XML standards to represent neuronal morphology data, (4) using XML to represent experimental metadata, and (5) creating new XML specifications for models.
Health Topic XML File Description: MedlinePlus
... page: https://medlineplus.gov/xmldescription.html Health Topic XML File Description: MedlinePlus To use the sharing features on this page, please enable JavaScript. Description of XML Tags Definitions of every possible tag in the ...
An introduction to XML query processing and keyword search
Lu, Jiaheng
2013-01-01
This book systematically and comprehensively covers the latest advances in XML data searching. It presents an extensive overview of the current query processing and keyword search techniques on XML data.
Towards the XML schema measurement based on mapping between XML and OO domain
Rakić, Gordana; Budimac, Zoran; Heričko, Marjan; Pušnik, Maja
2017-07-01
Measuring quality of IT solutions is a priority in software engineering. Although numerous metrics for measuring object-oriented code already exist, measuring quality of UML models or XML Schemas is still developing. One of the research questions in the overall research leaded by ideas described in this paper is whether we can apply already defined object-oriented design metrics on XML schemas based on predefined mappings. In this paper, basic ideas for mentioned mapping are presented. This mapping is prerequisite for setting the future approach to XML schema quality measuring with object-oriented metrics.
An XML Web strategy for scientific documents
Goossens, M
2002-01-01
It is generally accepted that XML (Extensible Markup Language) has become an important component of information handling, in particular for documentation. Thus, since the beginning of 2000 CERN has been implied in the EU-funded project TIPS (Tools for Innovative Publishing in Science), which had its final review meeting in Malaga (Spain) on 28-29 of May 2002. In that project Michel Goossens was responsible for studying ways of how XML tools can be optimally integrated in the framework of handling electronic information efficiently, especially for scientific documents. Some conclusions are available in this final report
XML Schema Guide for Secondary CDR Submissions
This document presents the extensible markup language (XML) schema guide for the Office of Pollution Prevention and Toxics’ (OPPT) e-CDRweb tool. E-CDRweb is the electronic, web-based tool provided by Environmental Protection Agency (EPA) for the submission of Chemical Data Reporting (CDR) information. This document provides the user with tips and guidance on correctly using the version 1.1 XML schema for the Joint Submission Form. Please note that the order of the elements must match the schema.
PDBML: the representation of archival macromolecular structure data in XML.
Westbrook, John; Ito, Nobutoshi; Nakamura, Haruki; Henrick, Kim; Berman, Helen M
2005-04-01
The Protein Data Bank (PDB) has recently released versions of the PDB Exchange dictionary and the PDB archival data files in XML format collectively named PDBML. The automated generation of these XML files is driven by the data dictionary infrastructure in use at the PDB. The correspondences between the PDB dictionary and the XML schema metadata are described as well as the XML representations of PDB dictionaries and data files.
Goldmann, H
1990-01-01
The first part of this monograph is an elementary introduction to the theory of Fréchet algebras. Important examples of Fréchet algebras, which are among those considered, are the algebra of all holomorphic functions on a (hemicompact) reduced complex space, and the algebra of all continuous functions on a suitable topological space.The problem of finding analytic structure in the spectrum of a Fréchet algebra is the subject of the second part of the book. In particular, the author pays attention to function algebraic characterizations of certain Stein algebras (= algebras of holomorphic functions on Stein spaces) within the class of Fréchet algebras.
Abrams, Gene; Siles Molina, Mercedes
2017-01-01
This book offers a comprehensive introduction by three of the leading experts in the field, collecting fundamental results and open problems in a single volume. Since Leavitt path algebras were first defined in 2005, interest in these algebras has grown substantially, with ring theorists as well as researchers working in graph C*-algebras, group theory and symbolic dynamics attracted to the topic. Providing a historical perspective on the subject, the authors review existing arguments, establish new results, and outline the major themes and ring-theoretic concepts, such as the ideal structure, Z-grading and the close link between Leavitt path algebras and graph C*-algebras. The book also presents key lines of current research, including the Algebraic Kirchberg Phillips Question, various additional classification questions, and connections to noncommutative algebraic geometry. Leavitt Path Algebras will appeal to graduate students and researchers working in the field and related areas, such as C*-algebras and...
Building adaptable and reusable XML applications with model transformations
Ivanov, Ivan; van den Berg, Klaas
2005-01-01
We present an approach in which the semantics of an XML language is defined by means of a transformation from an XML document model (an XML schema) to an application specific model. The application specific model implements the intended behavior of documents written in the language. A transformation
XML and E-Journals: The State of Play.
Wusteman, Judith
2003-01-01
Discusses the introduction of the use of XML (Extensible Markup Language) in publishing electronic journals. Topics include standards, including DTDs (Document Type Definition), or document type definitions; aggregator requirements; SGML (Standard Generalized Markup Language); benefits of XML for e-journals; XML metadata; the possibility of…
XML: How It Will Be Applied to Digital Library Systems.
Kim, Hyun-Hee; Choi, Chang-Seok
2000-01-01
Shows how XML is applied to digital library systems. Compares major features of XML with those of HTML and describes an experimental XML-based metadata retrieval system, which is based on the Dublin Core and is designed as a subsystem of the Korean Virtual Library and Information System (VINIS). (Author/LRW)
A Semantic Network Based Design Methodology for XML Documents
Feng, L.; Chang, E.; Dillon, T.
2002-01-01
The eXtensible Markup Language (XML) is fast emerging as the dominant standard for describing and interchanging data among various systems and databases on the Internet. It offers the Document Type Definition (DTD) as a formalism for defining the syntax and structure of XML documents. The XML Schema
Generando datos XML a partir de bases de datos relacionales
Migani, Silvina; Correa, Carlos; Vera, Cristina; Romera, Liliana
2012-01-01
El lenguaje XML, los lenguajes que permiten manipular datos XML, y su impacto en el mundo de las bases de datos, es el área donde este proyecto se desarrolla. Surge como una iniciativa de docentes del área bases de datos, con la finalidad de profundizar en el estudio de XML y experimentar motores de bases de datos que lo soportan.
A methodology for clustering XML documents by structure
Dalamagas, Theodore; Cheng, Tao; Winkel, Klaas-Jan; Sellis, Timos
2006-01-01
The processing and management of XML data are popular research issues. However, operations based on the structure of XML data have not received strong attention. These operations involve, among others, the grouping of structurally similar XML documents. Such grouping results from the application of
XForms and XML Events to Support Decisions about Medication Management
Calabretto, Jean-Pierre; Banerjee, Debdeep; Warren, Jim; Bird, Linda
2005-01-01
Representation and presentation of information in healthcare is problematic, including issues related to common formats and accessibility. XML technology infrastructure (particularly XForms and XML events) appears promising in addressing some of these issues. These technologies were investigated in the context of decision support for medication management. XForms allows rapid prototyping of information models and interfaces. XML events are useful to model simple alerts altho...
A comparison of database systems for XML-type data
Risse, J.E.; Leunissen, J.A.M.
2010-01-01
Background: In the field of bioinformatics interchangeable data formats based on XML are widely used. XML-type data is also at the core of most web services. With the increasing amount of data stored in XML comes the need for storing and accessing the data. In this paper we analyse the suitability
Samuel, Pierre
2008-01-01
Algebraic number theory introduces students not only to new algebraic notions but also to related concepts: groups, rings, fields, ideals, quotient rings and quotient fields, homomorphisms and isomorphisms, modules, and vector spaces. Author Pierre Samuel notes that students benefit from their studies of algebraic number theory by encountering many concepts fundamental to other branches of mathematics - algebraic geometry, in particular.This book assumes a knowledge of basic algebra but supplements its teachings with brief, clear explanations of integrality, algebraic extensions of fields, Gal
Osborn, J
1989-01-01
During the academic year 1987-1988 the University of Wisconsin in Madison hosted a Special Year of Lie Algebras. A Workshop on Lie Algebras, of which these are the proceedings, inaugurated the special year. The principal focus of the year and of the workshop was the long-standing problem of classifying the simple finite-dimensional Lie algebras over algebraically closed field of prime characteristic. However, other lectures at the workshop dealt with the related areas of algebraic groups, representation theory, and Kac-Moody Lie algebras. Fourteen papers were presented and nine of these (eight research articles and one expository article) make up this volume.
Relation between dual S-algebras and BE-algebras
Directory of Open Access Journals (Sweden)
Arsham Borumand Saeid
2015-05-01
Full Text Available In this paper, we investigate the relationship between dual (Weak Subtraction algebras, Heyting algebras and BE-algebras. In fact, the purpose of this paper is to show that BE-algebra is a generalization of Heyting algebra and dual (Weak Subtraction algebras. Also, we show that a bounded commutative self distributive BE-algebra is equivalent to the Heyting algebra.
Shuttle-Data-Tape XML Translator
Barry, Matthew R.; Osborne, Richard N.
2005-01-01
JSDTImport is a computer program for translating native Shuttle Data Tape (SDT) files from American Standard Code for Information Interchange (ASCII) format into databases in other formats. JSDTImport solves the problem of organizing the SDT content, affording flexibility to enable users to choose how to store the information in a database to better support client and server applications. JSDTImport can be dynamically configured by use of a simple Extensible Markup Language (XML) file. JSDTImport uses this XML file to define how each record and field will be parsed, its layout and definition, and how the resulting database will be structured. JSDTImport also includes a client application programming interface (API) layer that provides abstraction for the data-querying process. The API enables a user to specify the search criteria to apply in gathering all the data relevant to a query. The API can be used to organize the SDT content and translate into a native XML database. The XML format is structured into efficient sections, enabling excellent query performance by use of the XPath query language. Optionally, the content can be translated into a Structured Query Language (SQL) database for fast, reliable SQL queries on standard database server computers.
Implementing XML Schema Naming and Design Rules
Energy Technology Data Exchange (ETDEWEB)
Lubell, Joshua [National Institute of Standards and Technology (NIST); Kulvatunyou, Boonserm [ORNL; Morris, Katherine [National Institute of Standards and Technology (NIST); Harvey, Betty [Electronic Commerce Connection, Inc.
2006-08-01
We are building a methodology and tool kit for encoding XML schema Naming and Design Rules (NDRs) in a computer-interpretable fashion, enabling automated rule enforcement and improving schema quality. Through our experience implementing rules from various NDR specifications, we discuss some issues and offer practical guidance to organizations grappling with NDR development.
XTCE. XML Telemetry and Command Exchange Tutorial
Rice, Kevin; Kizzort, Brad; Simon, Jerry
2010-01-01
An XML Telemetry Command Exchange (XTCE) tutoral oriented towards packets or minor frames is shown. The contents include: 1) The Basics; 2) Describing Telemetry; 3) Describing the Telemetry Format; 4) Commanding; 5) Forgotten Elements; 6) Implementing XTCE; and 7) GovSat.
XVCL: XML-based Variant Configuration Language
DEFF Research Database (Denmark)
Jarzabek, Stan; Basset, Paul; Zhang, Hongyu
2003-01-01
XVCL (XML-based Variant Configuration Language) is a meta-programming technique and tool that provides effective reuse mechanisms. XVCL is an open source software developed at the National University of Singapore. Being a modern and versatile version of Bassett's frames, a technology that has...
Towards privacy-preserving XML transformation
DEFF Research Database (Denmark)
Jensen, Meiko; Kerschbaum, Florian
2011-01-01
their information. In this paper we present a solution to the encrypted data modification problem and reconciliate this apparent conflict. Using a generic sender-transformer-recipient example scenario, we illustrate the steps required for applying XML transformations to encrypted data, present the cryptographic...
Flight Dynamic Model Exchange using XML
Jackson, E. Bruce; Hildreth, Bruce L.
2002-01-01
The AIAA Modeling and Simulation Technical Committee has worked for several years to develop a standard by which the information needed to develop physics-based models of aircraft can be specified. The purpose of this standard is to provide a well-defined set of information, definitions, data tables and axis systems so that cooperating organizations can transfer a model from one simulation facility to another with maximum efficiency. This paper proposes using an application of the eXtensible Markup Language (XML) to implement the AIAA simulation standard. The motivation and justification for using a standard such as XML is discussed. Necessary data elements to be supported are outlined. An example of an aerodynamic model as an XML file is given. This example includes definition of independent and dependent variables for function tables, definition of key variables used to define the model, and axis systems used. The final steps necessary for implementation of the standard are presented. Software to take an XML-defined model and import/export it to/from a given simulation facility is discussed, but not demonstrated. That would be the next step in final implementation of standards for physics-based aircraft dynamic models.
DICOM supported sofware configuration by XML files
International Nuclear Information System (INIS)
LucenaG, Bioing Fabian M; Valdez D, Andres E; Gomez, Maria E; Nasisi, Oscar H
2007-01-01
A method for the configuration of informatics systems that provide support to DICOM standards using XML files is proposed. The difference with other proposals is base on that this system does not code the information of a DICOM objects file, but codes the standard itself in an XML file. The development itself is the format for the XML files mentioned, in order that they can support what DICOM normalizes for multiple languages. In this way, the same configuration file (or files) can be use in different systems. Jointly the XML configuration file generated, we wrote also a set of CSS and XSL files. So the same file can be visualized in a standard browser, as a query system of DICOM standard, emerging use, that did not was a main objective but brings a great utility and versatility. We exposed also some uses examples of the configuration file mainly in relation with the load of DICOM information objects. Finally, at the conclusions we show the utility that the system has already provided when the edition of DICOM standard changes from 2006 to 2007
IR and OLAP in XML document warehouses
DEFF Research Database (Denmark)
Perez, Juan Manuel; Pedersen, Torben Bach; Berlanga, Rafael
2005-01-01
In this paper we propose to combine IR and OLAP (On-Line Analytical Processing) technologies to exploit a warehouse of text-rich XML documents. In the system we plan to develop, a multidimensional implementation of a relevance modeling document model will be used for interactively querying...
Treating JSON as a subset of XML
S. Pemberton (Steven)
2012-01-01
textabstractXForms 1.0 was an XML technology originally designed as a replacement for HTML Forms. In addressing certain shortcomings of XForms 1.0, the next version, XForms 1.1 became far more than a forms language, but a declarative application language where application production time could be
World Wide Web Consortium
2006-01-01
Los espacios de nombres XML proporcionan un método simple para calificar nombres de elementos y atributos utilizados en el Lenguaje Extensible de Marcado (Extensible Markup Language), asociándolos con espacios de nombres identificados mediante referencias IRI.
Towards P2P XML Database Technology
Y. Zhang (Ying)
2007-01-01
textabstractTo ease the development of data-intensive P2P applications, we envision a P2P XML Database Management System (P2P XDBMS) that acts as a database middle-ware, providing a uniform database abstraction on top of a dynamic set of distributed data sources. In this PhD work, we research which
StarDOM: From STAR format to XML
International Nuclear Information System (INIS)
Linge, Jens P.; Nilges, Michael; Ehrlich, Lutz
1999-01-01
StarDOM is a software package for the representation of STAR files as document object models and the conversion of STAR files into XML. This allows interactive navigation by using the Document Object Model representation of the data as well as easy access by XML query languages. As an example application, the entire BioMagResBank has been transformed into XML format. Using an XML query language, statistical queries on the collected NMR data sets can be constructed with very little effort. The BioMagResBank/XML data and the software can be obtained at http://www.nmr.embl-heidelberg.de/nmr/StarDOM/
Semantic Structural Similarity Measure for Clustering XML Documents
Song, Ling; Ma, Jun; Lei, Jingsheng; Zhang, Dongmei; Wang, Zhen
Clustering XML documents semantically has become a major challenge in XML data managements. The key research issue is to find the similarity functions of XML documents. However, previous work gave more importance to the topology structure than to the semantic information. In this paper, the computation of similarity between two XML documents is based on both structural and semantic information. Then a minimal spanning tree clustering method is used to cluster XML documents. The experiment results show that the new method performs better than baseline similarity measure in terms of purity and rand index.
Algebraic isotopy in genetics.
Campos, T M; Holgate, P
1987-01-01
It is shown that many of the algebras arising in nonselective genetics are isotopes of the algebras for particularly simple systems of inheritance. Moreover, interesting aspects of the structure are preserved under the relevant isotopies.
Rudiments of algebraic geometry
Jenner, WE
2017-01-01
Aimed at advanced undergraduate students of mathematics, this concise text covers the basics of algebraic geometry. Topics include affine spaces, projective spaces, rational curves, algebraic sets with group structure, more. 1963 edition.
Cylindric-like algebras and algebraic logic
Ferenczi, Miklós; Németi, István
2013-01-01
Algebraic logic is a subject in the interface between logic, algebra and geometry, it has strong connections with category theory and combinatorics. Tarski’s quest for finding structure in logic leads to cylindric-like algebras as studied in this book, they are among the main players in Tarskian algebraic logic. Cylindric algebra theory can be viewed in many ways: as an algebraic form of definability theory, as a study of higher-dimensional relations, as an enrichment of Boolean Algebra theory, or, as logic in geometric form (“cylindric” in the name refers to geometric aspects). Cylindric-like algebras have a wide range of applications, in, e.g., natural language theory, data-base theory, stochastics, and even in relativity theory. The present volume, consisting of 18 survey papers, intends to give an overview of the main achievements and new research directions in the past 30 years, since the publication of the Henkin-Monk-Tarski monographs. It is dedicated to the memory of Leon Henkin.
New applications of graded Lie algebras to Lie algebras, generalized Lie algebras and cohomology
Pinczon, Georges; Ushirobira, Rosane
2005-01-01
We give new applications of graded Lie algebras to: identities of standard polynomials, deformation theory of quadratic Lie algebras, cyclic cohomology of quadratic Lie algebras, $2k$-Lie algebras, generalized Poisson brackets and so on.
XML in Projects GNU Gama and 3DGI
DEFF Research Database (Denmark)
Kolar, Jan; Soucek, Petr; Cepek, Ales
2003-01-01
for structuring data for a geodetic network adjustment. In another application of XML, it is demonstrated how XML can be used for a unified description of data from leveling registration units. Finally, the use of XML for modelling 3D geographical features within the 3DGI project is presented and a relation......This paper presents our practical experiences with XML in geodetic and geographical applications. The main concepts and ideas of XML are introduced in an example of a simple web based information system, which exploits the XHTML language. The article further describes how XML is used in GNU Gama...... of the project to GML and X3D is argued. The paper also aims at presenting our future plans with XML in our projects - namely the GNU Gama project, and the 3DGI project....
Algebraic statistics computational commutative algebra in statistics
Pistone, Giovanni; Wynn, Henry P
2000-01-01
Written by pioneers in this exciting new field, Algebraic Statistics introduces the application of polynomial algebra to experimental design, discrete probability, and statistics. It begins with an introduction to Gröbner bases and a thorough description of their applications to experimental design. A special chapter covers the binary case with new application to coherent systems in reliability and two level factorial designs. The work paves the way, in the last two chapters, for the application of computer algebra to discrete probability and statistical modelling through the important concept of an algebraic statistical model.As the first book on the subject, Algebraic Statistics presents many opportunities for spin-off research and applications and should become a landmark work welcomed by both the statistical community and its relatives in mathematics and computer science.
Indian Academy of Sciences (India)
We study the structure of split Malcev algebras of arbitrary dimension over an algebraically closed field of characteristic zero. We show that any such algebras is of the form M = U + ∑ j I j with U a subspace of the abelian Malcev subalgebra and any I j a well described ideal of satisfying [ I j , I k ] = 0 if ≠ .
Foundations of algebraic geometry
Weil, A
1946-01-01
This classic is one of the cornerstones of modern algebraic geometry. At the same time, it is entirely self-contained, assuming no knowledge whatsoever of algebraic geometry, and no knowledge of modern algebra beyond the simplest facts about abstract fields and their extensions, and the bare rudiments of the theory of ideals.
International Nuclear Information System (INIS)
Krivonos, S.O.; Sorin, A.S.
1994-06-01
We show that the Zamolodchikov's and Polyakov-Bershadsky nonlinear algebras W 3 and W (2) 3 can be embedded as subalgebras into some linear algebras with finite set of currents. Using these linear algebras we find new field realizations of W (2) 3 and W 3 which could be a starting point for constructing new versions of W-string theories. We also reveal a number of hidden relationships between W 3 and W (2) 3 . We conjecture that similar linear algebras can exist for other W-algebra as well. (author). 10 refs
Algorithms in Algebraic Geometry
Dickenstein, Alicia; Sommese, Andrew J
2008-01-01
In the last decade, there has been a burgeoning of activity in the design and implementation of algorithms for algebraic geometric computation. Some of these algorithms were originally designed for abstract algebraic geometry, but now are of interest for use in applications and some of these algorithms were originally designed for applications, but now are of interest for use in abstract algebraic geometry. The workshop on Algorithms in Algebraic Geometry that was held in the framework of the IMA Annual Program Year in Applications of Algebraic Geometry by the Institute for Mathematics and Its
International Nuclear Information System (INIS)
Feigin, B.L.; Semikhatov, A.M.
2004-01-01
We construct W-algebra generalizations of the sl-circumflex(2) algebra-W algebras W n (2) generated by two currents E and F with the highest pole of order n in their OPE. The n=3 term in this series is the Bershadsky-Polyakov W 3 (2) algebra. We define these algebras as a centralizer (commutant) of the Uqs-bar (n vertical bar 1) quantum supergroup and explicitly find the generators in a factored, 'Miura-like' form. Another construction of the W n (2) algebras is in terms of the coset sl-circumflex(n vertical bar 1)/sl-circumflex(n). The relation between the two constructions involves the 'duality' (k+n-1)(k'+n-1)=1 between levels k and k' of two sl-circumflex(n) algebras
Algebraic conformal field theory
International Nuclear Information System (INIS)
Fuchs, J.; Nationaal Inst. voor Kernfysica en Hoge-Energiefysica
1991-11-01
Many conformal field theory features are special versions of structures which are present in arbitrary 2-dimensional quantum field theories. So it makes sense to describe 2-dimensional conformal field theories in context of algebraic theory of superselection sectors. While most of the results of the algebraic theory are rather abstract, conformal field theories offer the possibility to work out many formulae explicitly. In particular, one can construct the full algebra A-bar of global observables and the endomorphisms of A-bar which represent the superselection sectors. Some explicit results are presented for the level 1 so(N) WZW theories; the algebra A-bar is found to be the enveloping algebra of a Lie algebra L-bar which is an extension of the chiral symmetry algebra of the WZW theory. (author). 21 refs., 6 figs
Discrete Minimal Surface Algebras
Directory of Open Access Journals (Sweden)
Joakim Arnlind
2010-05-01
Full Text Available We consider discrete minimal surface algebras (DMSA as generalized noncommutative analogues of minimal surfaces in higher dimensional spheres. These algebras appear naturally in membrane theory, where sequences of their representations are used as a regularization. After showing that the defining relations of the algebra are consistent, and that one can compute a basis of the enveloping algebra, we give several explicit examples of DMSAs in terms of subsets of sl_n (any semi-simple Lie algebra providing a trivial example by itself. A special class of DMSAs are Yang-Mills algebras. The representation graph is introduced to study representations of DMSAs of dimension d ≤ 4, and properties of representations are related to properties of graphs. The representation graph of a tensor product is (generically the Cartesian product of the corresponding graphs. We provide explicit examples of irreducible representations and, for coinciding eigenvalues, classify all the unitary representations of the corresponding algebras.
DEFF Research Database (Denmark)
Ekins, P.; Andersen, Mikael Skou; Vos, H.
include those on sulphur dioxide and nitrogen oxides in Sweden, on toxic waste in Germany, on water pollution in The Netherlands, and the tax differentials on leaded fuel and 'cleaner' diesel fuel in Sweden.3.Taxes as such have potential negative impacts on competitiveness and on employment, Most barriers...
Bicovariant quantum algebras and quantum Lie algebras
International Nuclear Information System (INIS)
Schupp, P.; Watts, P.; Zumino, B.
1993-01-01
A bicovariant calculus of differential operators on a quantum group is constructed in a natural way, using invariant maps from Fun(G q ) to U q g, given by elements of the pure braid group. These operators - the 'reflection matrix' Y= triple bond L + SL - being a special case - generate algebras that linearly close under adjoint actions, i.e. they form generalized Lie algebras. We establish the connection between the Hopf algebra formulation of the calculus and a formulation in compact matrix form which is quite powerful for actual computations and as applications we find the quantum determinant and an orthogonality relation for Y in SO q (N). (orig.)
The Boolean algebra and central Galois algebras
Directory of Open Access Journals (Sweden)
George Szeto
2001-01-01
Full Text Available Let B be a Galois algebra with Galois group G, Jg={b∈B∣bx=g(xb for all x∈B} for g∈G, and BJg=Beg for a central idempotent eg. Then a relation is given between the set of elements in the Boolean algebra (Ba,≤ generated by {0,eg∣g∈G} and a set of subgroups of G, and a central Galois algebra Be with a Galois subgroup of G is characterized for an e∈Ba.
Object Serialization and Deserialization Using XML
Le Goff, J.-M.; Willers, I.; McClatchey, R.; Kovacs, Z.; Martin, P.; Bhatti, N.; Hassan, W.
2001-01-01
Interoperability of potentially heterogeneous databases has been an ongoing research issue for a number of years in the database community. With the trend towards globalization of data location and data access and the consequent requirement for the coexistence of new data stores with legacy systems, the cooperation and data interchange between data repositories has become increasingly important. The emergence of the eXtensible Markup Language (XML) as a database independent representation for data offers a suitable mechanism for transporting data between repositories. This paper describes a research activity within a group at CERN (called CMS) towards identifying and implementing database serialization and deserialization methods that can be used to replicate or migrate objects across the network between CERN and worldwide centres using XML to serialize the contents of multiple objects resident in object-oriented databases.
An exponentiation method for XML element retrieval.
Wichaiwong, Tanakorn
2014-01-01
XML document is now widely used for modelling and storing structured documents. The structure is very rich and carries important information about contents and their relationships, for example, e-Commerce. XML data-centric collections require query terms allowing users to specify constraints on the document structure; mapping structure queries and assigning the weight are significant for the set of possibly relevant documents with respect to structural conditions. In this paper, we present an extension to the MEXIR search system that supports the combination of structural and content queries in the form of content-and-structure queries, which we call the Exponentiation function. It has been shown the structural information improve the effectiveness of the search system up to 52.60% over the baseline BM25 at MAP.
XML databases and the semantic web
Thuraisingham, Bhavani
2002-01-01
Efficient access to data, sharing data, extracting information from data, and making use of the information have become urgent needs for today''s corporations. With so much data on the Web, managing it with conventional tools is becoming almost impossible. New tools and techniques are necessary to provide interoperability as well as warehousing between multiple data sources and systems, and to extract information from the databases. XML Databases and the Semantic Web focuses on critical and new Web technologies needed for organizations to carry out transactions on the Web, to understand how to use the Web effectively, and to exchange complex documents on the Web.This reference for database administrators, database designers, and Web designers working in tandem with database technologists covers three emerging technologies of significant impact for electronic business: Extensible Markup Language (XML), semi-structured databases, and the semantic Web. The first two parts of the book explore these emerging techn...
Internet-based data interchange with XML
Fuerst, Karl; Schmidt, Thomas
2000-12-01
In this paper, a complete concept for Internet Electronic Data Interchange (EDI) - a well-known buzzword in the area of logistics and supply chain management to enable the automation of the interactions between companies and their partners - using XML (eXtensible Markup Language) will be proposed. This approach is based on Internet and XML, because the implementation of traditional EDI (e.g. EDIFACT, ANSI X.12) is mostly too costly for small and medium sized enterprises, which want to integrate their suppliers and customers in a supply chain. The paper will also present the results of the implementation of a prototype for such a system, which has been developed for an industrial partner to improve the current situation of parts delivery. The main functions of this system are an early warning system to detect problems during the parts delivery process as early as possible, and a transport following system to pursue the transportation.
International Nuclear Information System (INIS)
Deacon, R.; DeCanio, S.; Frech, H.E. III; Johnson, M.B.
1990-01-01
In this book, the authors have produced an analysis of state energy taxation. Their factual findings are of particular relevance to California and other states in their consideration of severance taxes on oil production. It turns out, for example, that while California's tax burden on oil producers is slightly below average among the states, the combined revenues from taxes and royalties (expressed as a percent of the value of production) indicate that California is not easy on oil producers. In fact, California's oil tax system appears to be particularly well suited to its oil industry. Much of the production in the state is relatively high-cost and economically marginal. The state must tread carefully in taxing this production, lest it force it to be curtailed
XML for detector description at GLAST
International Nuclear Information System (INIS)
Bogart, J.; Favretto, D.; Giannitrapani, R.
2001-01-01
The problem of representing a detector in a form which is accessible to a variety of applications, allows retrieval of information in ways which are natural to those applications, and is maintainable has been vexing physicists for some time. Although invented to address an entirely different problem domain, the document markup meta-language XML is well-suited to detector description. The author describes its use for a GLAST detector
XML for Detector Description at GLAST
International Nuclear Information System (INIS)
Bogart, Joanne
2002-01-01
The problem of representing a detector in a form which is accessible to a variety of applications, allows retrieval of information in ways which are natural to those applications, and is maintainable has been vexing physicists for some time. Although invented to address an entirely different problem domain, the document markup meta-language XML is well-suited to detector description. This paper describes its use for a GLAST detector
XML for Detector Description at GLAST
Energy Technology Data Exchange (ETDEWEB)
Bogart, Joanne
2002-04-30
The problem of representing a detector in a form which is accessible to a variety of applications, allows retrieval of information in ways which are natural to those applications, and is maintainable has been vexing physicists for some time. Although invented to address an entirely different problem domain, the document markup meta-language XML is well-suited to detector description. This paper describes its use for a GLAST detector.
Tax asymmetries and corporate income tax reform
Myers, Stewart C.; Majd, Saman.
1986-01-01
This paper investigates the impact of tax asymmetries (the lack of full loss offsets) under current corporate income tax law and a stylized tax reform proposal. The government's tax claim on the firm's pretax cash flows is modelled as a series of path-dependent call options and valued by option pricing procedures and Monte Carlo simulation.The tax reform investigated reduces the statutory tax rate, eliminates the investment tax credit and sets tax depreciation approximately equal to economic ...
Tax Culture as Tax Administration Staff Phenomenon
Viktor Synchak
2013-01-01
The concept of the tax culture has been grounded. Various approaches to the tax culture have been highlighted. The ambiguous aspects of the tax culture approaches and interpretation have been pointed out. The authors have also given the definition of the tax body officials' culture. The tax culture has been defined as a special kind of tax service employee's culture. The necessity of the tax culture phenomenon to be familiarized with by every tax official prior to their employment has been pr...
XML Based Markup Languages for Specific Domains
Varde, Aparna; Rundensteiner, Elke; Fahrenholz, Sally
A challenging area in web based support systems is the study of human activities in connection with the web, especially with reference to certain domains. This includes capturing human reasoning in information retrieval, facilitating the exchange of domain-specific knowledge through a common platform and developing tools for the analysis of data on the web from a domain expert's angle. Among the techniques and standards related to such work, we have XML, the eXtensible Markup Language. This serves as a medium of communication for storing and publishing textual, numeric and other forms of data seamlessly. XML tag sets are such that they preserve semantics and simplify the understanding of stored information by users. Often domain-specific markup languages are designed using XML, with a user-centric perspective. Standardization bodies and research communities may extend these to include additional semantics of areas within and related to the domain. This chapter outlines the issues to be considered in developing domain-specific markup languages: the motivation for development, the semantic considerations, the syntactic constraints and other relevant aspects, especially taking into account human factors. Illustrating examples are provided from domains such as Medicine, Finance and Materials Science. Particular emphasis in these examples is on the Materials Markup Language MatML and the semantics of one of its areas, namely, the Heat Treating of Materials. The focus of this chapter, however, is not the design of one particular language but rather the generic issues concerning the development of domain-specific markup languages.
Hurwitz Algebras and the Octonion Algebra
Burdik, Čestmir; Catto, Sultan
2018-02-01
We explore some consequences of a theory of internal symmetries for elementary particles constructed on exceptional quantum mechanical spaces based on Jordan algebra formulation that admit exceptional groups as gauge groups.
Linear algebra meets Lie algebra: the Kostant-Wallach theory
Shomron, Noam; Parlett, Beresford N.
2008-01-01
In two languages, Linear Algebra and Lie Algebra, we describe the results of Kostant and Wallach on the fibre of matrices with prescribed eigenvalues of all leading principal submatrices. In addition, we present a brief introduction to basic notions in Algebraic Geometry, Integrable Systems, and Lie Algebra aimed at specialists in Linear Algebra.
AT -algebras and extensions of AT-algebras
Indian Academy of Sciences (India)
algebra by an AT-algebra and E has real rank zero, then E is an AT-algebra if and only if the index maps are both zero. Accordingly, in this paper, we attempt to describe a characterization of an extension E of an AT-algebra by an AF-algebra if E ...
Yoneda algebras of almost Koszul algebras
Indian Academy of Sciences (India)
a left (2, hQ − 2)-Koszul algebra (see Definition 2.1 below), and the Yoneda algebra of. A is isomorphic to a twisted ... is quadratic if R is a subspace of V ⊗ V . The quadratic dual A! of A is defined to be. T (V ∗)/(R⊥) .... (Q, ρ) is a stable bound quiver of Loewy length p + 1, and the Nakayama translation on. Q0 is induced by a ...
The curse of namespaces in the domain of XML signature
DEFF Research Database (Denmark)
Jensen, Meiko; Liao, Lijun; Schwenk, Jörg
2009-01-01
The XML signature wrapping attack is one of the most discussed security issues of the Web Services security community during the last years. Until now, the issue has not been solved, and all countermeasure approaches proposed so far were shown to be insufficient. In this paper, we present yet...... another way to perform signature wrapping attacks by using the XML namespace injection technique. We show that the interplay of XML Signature, XPath, and the XML namespace concept has severe flaws that can be exploited for an attack, and that XML namespaces in general pose real troubles to digital...... signatures in the XML domain. Additionally, we present and discuss some new approaches in countering the proposed attack vector....
Evolution algebras and their applications
Tian, Jianjun Paul
2008-01-01
Behind genetics and Markov chains, there is an intrinsic algebraic structure. It is defined as a type of new algebra: as evolution algebra. This concept lies between algebras and dynamical systems. Algebraically, evolution algebras are non-associative Banach algebras; dynamically, they represent discrete dynamical systems. Evolution algebras have many connections with other mathematical fields including graph theory, group theory, stochastic processes, dynamical systems, knot theory, 3-manifolds, and the study of the Ihara-Selberg zeta function. In this volume the foundation of evolution algebra theory and applications in non-Mendelian genetics and Markov chains is developed, with pointers to some further research topics.
An XML-based framework for personalized health management.
Lee, Hiye-Ja; Park, Seung-Hun; Jeong, Byeong-Soo
2006-01-01
This paper proposes a framework for personalized health management. In this framework, XML technology is used for representing and managing the health information and knowledge. Major components of the framework are Health Management Prescription (HMP) Expert System and Health Information Repository. The HMP Expert System generates a HMP efficiently by using XML-based templates. Health Information Repository provides integrated health information and knowledge for personalized health management by using XML and relational database together.
Integrating XML Data in the TARGIT OLAP System
DEFF Research Database (Denmark)
Pedersen, Dennis; Pedersen, Jesper; Pedersen, Torben Bach
2004-01-01
This paper presents work on logical integration of OLAP and XML data sources, carried out in cooperation between TARGIT, a Danish OLAP client vendor, and Aalborg University. A prototype has been developed that allows XML data on the WWW to be used as dimensions and measures in the OLAP system...... the ability to use XML data as measures, as well as a novel multigranular data model and query language that formalizes and extends the TARGIT data model and query language....
TX-Kw: An Effective Temporal XML Keyword Search
Rasha Bin-Thalab; Neamat El-Tazi; Mohamed E.El-Sharkawi
2013-01-01
Inspired by the great success of information retrieval (IR) style keyword search on the web, keyword search on XML has emerged recently. Existing methods cannot resolve challenges addressed by using keyword search in Temporal XML documents. We propose a way to evaluate temporal keyword search queries over Temporal XML documents. Moreover, we propose a new ranking method based on the time-aware IR ranking methods to rank temporal keyword search queries results. Extensive experiments have been ...
Hybrid XML Retrieval: Combining Information Retrieval and a Native XML Database
Pehcevski, Jovan; Thom, James A.; Vercoustre, Anne-Marie
2005-01-01
Postprint version. The editor version can be accessed through the DOI./http://www.springeronline.com/; This paper investigates the impact of three approaches to XML retrieval: using Zettair, a full-text information retrieval system; using eXist, a native XML database; and using a hybrid system that takes full article answers from Zettair and uses eXist to extract elements from those articles. For the content-only topics, we undertake a preliminary analysis of the INEX 2003 relevance assessmen...
Borzooei, R. A.; Dudek, W. A.; Koohestani, N.
2006-01-01
We study hyper BCC-algebras which are a common generalization of BCC-algebras and hyper BCK-algebras. In particular, we investigate different types of hyper BCC-ideals and describe the relationship among them. Next, we calculate all nonisomorphic 22 hyper BCC-algebras of order 3 of which only three are not hyper BCK-algebras.
Directory of Open Access Journals (Sweden)
R. A. Borzooei
2006-01-01
Full Text Available We study hyper BCC-algebras which are a common generalization of BCC-algebras and hyper BCK-algebras. In particular, we investigate different types of hyper BCC-ideals and describe the relationship among them. Next, we calculate all nonisomorphic 22 hyper BCC-algebras of order 3 of which only three are not hyper BCK-algebras.
Givant, Steven
2017-01-01
This monograph details several different methods for constructing simple relation algebras, many of which are new with this book. By drawing these seemingly different methods together, all are shown to be aspects of one general approach, for which several applications are given. These tools for constructing and analyzing relation algebras are of particular interest to mathematicians working in logic, algebraic logic, or universal algebra, but will also appeal to philosophers and theoretical computer scientists working in fields that use mathematics. The book is written with a broad audience in mind and features a careful, pedagogical approach; an appendix contains the requisite background material in relation algebras. Over 400 exercises provide ample opportunities to engage with the material, making this a monograph equally appropriate for use in a special topics course or for independent study. Readers interested in pursuing an extended background study of relation algebras will find a comprehensive treatme...
Twisted classical Poincare algebras
International Nuclear Information System (INIS)
Lukierski, J.; Ruegg, H.; Tolstoy, V.N.; Nowicki, A.
1993-11-01
We consider the twisting of Hopf structure for classical enveloping algebra U(g), where g is the inhomogeneous rotations algebra, with explicite formulae given for D=4 Poincare algebra (g=P 4 ). The comultiplications of twisted U F (P 4 ) are obtained by conjugating primitive classical coproducts by F element of U(c)xU(c), where c denotes any Abelian subalgebra of P 4 , and the universal R-matrices for U F (P 4 ) are triangular. As an example we show that the quantum deformation of Poincare algebra recently proposed by Chaichian and Demiczev is a twisted classical Poincare algebra. The interpretation of twisted Poincare algebra as describing relativistic symmetries with clustered 2-particle states is proposed. (orig.)
Iachello, Francesco
2015-01-01
This course-based primer provides an introduction to Lie algebras and some of their applications to the spectroscopy of molecules, atoms, nuclei and hadrons. In the first part, it concisely presents the basic concepts of Lie algebras, their representations and their invariants. The second part includes a description of how Lie algebras are used in practice in the treatment of bosonic and fermionic systems. Physical applications considered include rotations and vibrations of molecules (vibron model), collective modes in nuclei (interacting boson model), the atomic shell model, the nuclear shell model, and the quark model of hadrons. One of the key concepts in the application of Lie algebraic methods in physics, that of spectrum generating algebras and their associated dynamic symmetries, is also discussed. The book highlights a number of examples that help to illustrate the abstract algebraic definitions and includes a summary of many formulas of practical interest, such as the eigenvalues of Casimir operators...
Representing User Navigation in XML Retrieval with Structural Summaries
DEFF Research Database (Denmark)
Ali, M. S.; Consens, Mariano P.; Larsen, Birger
This poster presents a novel way to represent user navigation in XML retrieval using collection statistics from XML summaries. Currently, developing user navigation models in XML retrieval is costly and the models are specific to collected user assessments. We address this problem by proposing...... summary navigation models which describe user navigation in terms of XML summaries. We develop our proposal using assessments collected in the interactive track at INEX 2006. Our preliminary results suggest that summary navigation models can represent user navigation in a way that is e ective...
Ranking of XML Files by Compiler Based Adaptive Search
Varun Varma Sangaraju; Mary Posonia
2014-01-01
The Ranking of XML files can be performed by using Adaptive keyword search and Reverse indexing of the XML data within which critical metrics are weighed and assigned to the XML data. Compiler for correcting search words will act as an added benefit. This proposed system can act as an upgrade to the existing XML keyword searching pattern. The search results obtained in LCA based systems are non-adjustable and some important features like compactness and size are missed. So this proposed syste...
Introduction to abstract algebra
Smith, Jonathan D H
2008-01-01
Taking a slightly different approach from similar texts, Introduction to Abstract Algebra presents abstract algebra as the main tool underlying discrete mathematics and the digital world. It helps students fully understand groups, rings, semigroups, and monoids by rigorously building concepts from first principles. A Quick Introduction to Algebra The first three chapters of the book show how functional composition, cycle notation for permutations, and matrix notation for linear functions provide techniques for practical computation. The author also uses equivalence relations to introduc
Kurosh, A G; Stark, M; Ulam, S
1965-01-01
Lectures in General Algebra is a translation from the Russian and is based on lectures on specialized courses in general algebra at Moscow University. The book starts with the basics of algebra. The text briefly describes the theory of sets, binary relations, equivalence relations, partial ordering, minimum condition, and theorems equivalent to the axiom of choice. The text gives the definition of binary algebraic operation and the concepts of groups, groupoids, and semigroups. The book examines the parallelism between the theory of groups and the theory of rings; such examinations show the
Solomon, Alan D
2012-01-01
REA's Essentials provide quick and easy access to critical information in a variety of different fields, ranging from the most basic to the most advanced. As its name implies, these concise, comprehensive study guides summarize the essentials of the field covered. Essentials are helpful when preparing for exams, doing homework and will remain a lasting reference source for students, teachers, and professionals. Boolean Algebra includes set theory, sentential calculus, fundamental ideas of Boolean algebras, lattices, rings and Boolean algebras, the structure of a Boolean algebra, and Boolean
Directory of Open Access Journals (Sweden)
Frank Roumen
2017-01-01
Full Text Available We will define two ways to assign cohomology groups to effect algebras, which occur in the algebraic study of quantum logic. The first way is based on Connes' cyclic cohomology. The resulting cohomology groups are related to the state space of the effect algebra, and can be computed using variations on the Kunneth and Mayer-Vietoris sequences. The second way involves a chain complex of ordered abelian groups, and gives rise to a cohomological characterization of state extensions on effect algebras. This has applications to no-go theorems in quantum foundations, such as Bell's theorem.
Albert, A A
1939-01-01
The first three chapters of this work contain an exposition of the Wedderburn structure theorems. Chapter IV contains the theory of the commutator subalgebra of a simple subalgebra of a normal simple algebra, the study of automorphisms of a simple algebra, splitting fields, and the index reduction factor theory. The fifth chapter contains the foundation of the theory of crossed products and of their special case, cyclic algebras. The theory of exponents is derived there as well as the consequent factorization of normal division algebras into direct factors of prime-power degree. Chapter VI con
From Rota-Baxter algebras to pre-Lie algebras
International Nuclear Information System (INIS)
An Huihui; Ba, Chengming
2008-01-01
Rota-Baxter algebras were introduced to solve some analytic and combinatorial problems and have appeared in many fields in mathematics and mathematical physics. Rota-Baxter algebras provide a construction of pre-Lie algebras from associative algebras. In this paper, we give all Rota-Baxter operators of weight 1 on complex associative algebras in dimension ≤3 and their corresponding pre-Lie algebras
Algebraic monoids, group embeddings, and algebraic combinatorics
Li, Zhenheng; Steinberg, Benjamin; Wang, Qiang
2014-01-01
This book contains a collection of fifteen articles and is dedicated to the sixtieth birthdays of Lex Renner and Mohan Putcha, the pioneers of the field of algebraic monoids. Topics presented include: v structure and representation theory of reductive algebraic monoids v monoid schemes and applications of monoids v monoids related to Lie theory v equivariant embeddings of algebraic groups v constructions and properties of monoids from algebraic combinatorics v endomorphism monoids induced from vector bundles v Hodge–Newton decompositions of reductive monoids A portion of these articles are designed to serve as a self-contained introduction to these topics, while the remaining contributions are research articles containing previously unpublished results, which are sure to become very influential for future work. Among these, for example, the important recent work of Michel Brion and Lex Renner showing that the algebraic semigroups are strongly π-regular. Graduate students as well a...
An XML-Enabled Data Mining Query Language XML-DMQL
Feng, L.; Dillon, T.
2005-01-01
Inspired by the good work of Han et al. (1996) and Elfeky et al. (2001) on the design of data mining query languages for relational and object-oriented databases, in this paper, we develop an expressive XML-enabled data mining query language by extension of XQuery. We first describe some
A Layered View Model for XML Repositories and XML Data Warehouses
Rajugan, R.; Chang, E.; Dillon, T.; Feng, L.
The Object-Oriented (OO) conceptual models have the power in describing and modeling real-world data semantics and their inter-relationships in a form that is precise and comprehensible to users. Conversely, XML is fast emerging as the dominant standard for storing, describing and interchanging data
Rosetta Ligand docking with flexible XML protocols.
Lemmon, Gordon; Meiler, Jens
2012-01-01
RosettaLigand is premiere software for predicting how a protein and a small molecule interact. Benchmark studies demonstrate that 70% of the top scoring RosettaLigand predicted interfaces are within 2Å RMSD from the crystal structure [1]. The latest release of Rosetta ligand software includes many new features, such as (1) docking of multiple ligands simultaneously, (2) representing ligands as fragments for greater flexibility, (3) redesign of the interface during docking, and (4) an XML script based interface that gives the user full control of the ligand docking protocol.
A Simple XML Producer-Consumer Protocol
Smith, Warren; Gunter, Dan; Quesnel, Darcy; Biegel, Bryan (Technical Monitor)
2001-01-01
There are many different projects from government, academia, and industry that provide services for delivering events in distributed environments. The problem with these event services is that they are not general enough to support all uses and they speak different protocols so that they cannot interoperate. We require such interoperability when we, for example, wish to analyze the performance of an application in a distributed environment. Such an analysis might require performance information from the application, computer systems, networks, and scientific instruments. In this work we propose and evaluate a standard XML-based protocol for the transmission of events in distributed systems. One recent trend in government and academic research is the development and deployment of computational grids. Computational grids are large-scale distributed systems that typically consist of high-performance compute, storage, and networking resources. Examples of such computational grids are the DOE Science Grid, the NASA Information Power Grid (IPG), and the NSF Partnerships for Advanced Computing Infrastructure (PACIs). The major effort to deploy these grids is in the area of developing the software services to allow users to execute applications on these large and diverse sets of resources. These services include security, execution of remote applications, managing remote data, access to information about resources and services, and so on. There are several toolkits for providing these services such as Globus, Legion, and Condor. As part of these efforts to develop computational grids, the Global Grid Forum is working to standardize the protocols and APIs used by various grid services. This standardization will allow interoperability between the client and server software of the toolkits that are providing the grid services. The goal of the Performance Working Group of the Grid Forum is to standardize protocols and representations related to the storage and distribution of
IR and OLAP in XML document warehouses
DEFF Research Database (Denmark)
Perez, Juan Manuel; Pedersen, Torben Bach; Berlanga, Rafael
2005-01-01
In this paper we propose to combine IR and OLAP (On-Line Analytical Processing) technologies to exploit a warehouse of text-rich XML documents. In the system we plan to develop, a multidimensional implementation of a relevance modeling document model will be used for interactively querying...... the warehouse by allowing navigation in the structure of documents and in a concept hierarchy of query terms. The facts described in the relevant documents will be ranked and analyzed in a novel OLAP cube model able to represent and manage facts with relevance indexes....
Bär, Christian; Becker, Christian
In this chapter we will collect those basic concepts and facts related to C*-algebras that will be needed later on. We give complete proofs. In Sects. 1, 2, 3, and 6 we follow closely the presentation in [1]. For more information on C*-algebras, see, e.g. [2-6].
Lawson, C. L.; Krogh, F. T.; Gold, S. S.; Kincaid, D. R.; Sullivan, J.; Williams, E.; Hanson, R. J.; Haskell, K.; Dongarra, J.; Moler, C. B.
1982-01-01
The Basic Linear Algebra Subprograms (BLAS) library is a collection of 38 FORTRAN-callable routines for performing basic operations of numerical linear algebra. BLAS library is portable and efficient source of basic operations for designers of programs involving linear algebriac computations. BLAS library is supplied in portable FORTRAN and Assembler code versions for IBM 370, UNIVAC 1100 and CDC 6000 series computers.
Seo, Young Joo; Kim, Young Hee
2016-01-01
In this paper we construct some real algebras by using elementary functions, and discuss some relations between several axioms and its related conditions for such functions. We obtain some conditions for real-valued functions to be a (edge) d -algebra.
Hayden, Dunstan; Cuevas, Gilberto
The pre-algebra lexicon is a set of classroom exercises designed to teach the technical words and phrases of pre-algebra mathematics, and includes the terms most commonly found in related mathematics courses. The lexicon has three parts, each with its own introduction. The first introduces vocabulary items in three groups forming a learning…
International Nuclear Information System (INIS)
Calmet, J.
1982-01-01
A survey of applications based either on fundamental algorithms in computer algebra or on the use of a computer algebra system is presented. Recent work in biology, chemistry, physics, mathematics and computer science is discussed. In particular, applications in high energy physics (quantum electrodynamics), celestial mechanics and general relativity are reviewed. (Auth.)
Indian Academy of Sciences (India)
Discourses on Algebra. Rajaram Nityananda. Discourses on Algebra. Igor R Shafarevich. Narosa Publishing. Pages: 273, Price in India: | 1750. To the Indian reader, the word discourse, evokes a respected figure interpreting divine wisdom to common folk in an accessible fash- ion. I dug a bit deeper with Google trans-.
Algebraic Description of Motion
Davidon, William C.
1974-01-01
An algebraic definition of time differentiation is presented and used to relate independent measurements of position and velocity. With this, students can grasp certain essential physical, geometric, and algebraic properties of motion and differentiation before undertaking the study of limits. (Author)
International Nuclear Information System (INIS)
Talon, M.
1987-01-01
The algebraic set up for anomalies, a la Stora, is reviewed. Then a brief account is provided of the work of M. Dubois Violette, M. Talon, C. Viallet, in which the general algebraic solution to the consistency conditions is described. 34 references
EquiX-A Search and Query Language for XML.
Cohen, Sara; Kanza, Yaron; Kogan, Yakov; Sagiv, Yehoshua; Nutt, Werner; Serebrenik, Alexander
2002-01-01
Describes EquiX, a search language for XML that combines querying with searching to query the data and the meta-data content of Web pages. Topics include search engines; a data model for XML documents; search query syntax; search query semantics; an algorithm for evaluating a query on a document; and indexing EquiX queries. (LRW)
An XML-Based Protocol for Distributed Event Services
Smith, Warren; Gunter, Dan; Quesnel, Darcy; Biegel, Bryan (Technical Monitor)
2001-01-01
This viewgraph presentation provides information on the application of an XML (extensible mark-up language)-based protocol to the developing field of distributed processing by way of a computational grid which resembles an electric power grid. XML tags would be used to transmit events between the participants of a transaction, namely, the consumer and the producer of the grid scheme.
Adaptive Hypermedia Educational System Based on XML Technologies.
Baek, Yeongtae; Wang, Changjong; Lee, Sehoon
This paper proposes an adaptive hypermedia educational system using XML technologies, such as XML, XSL, XSLT, and XLink. Adaptive systems are capable of altering the presentation of the content of the hypermedia on the basis of a dynamic understanding of the individual user. The user profile can be collected in a user model, while the knowledge…
Streaming-based verification of XML signatures in SOAP messages
DEFF Research Database (Denmark)
Somorovsky, Juraj; Jensen, Meiko; Schwenk, Jörg
2010-01-01
approach for XML processing, the Web Services servers easily become a target of Denial-of-Service attacks. We present a solution for these problems: an external streaming-based WS-Security Gateway. Our implementation is capable of processing XML Signatures in SOAP messages using a streaming-based approach...
Adding XML to the MIS Curriculum: Lessons from the Classroom
Wagner, William P.; Pant, Vik; Hilken, Ralph
2008-01-01
eXtensible Markup Language (XML) is a new technology that is currently being extolled by many industry experts and software vendors. Potentially it represents a platform independent language for sharing information over networks in a way that is much more seamless than with previous technologies. It is extensible in that XML serves as a "meta"…
Mining Interesting XML-Enabled Association Rules with Templates
Feng, L.; Dillon, T.
2004-01-01
XML-enabled association rule framework [FDWC03] extends the notion of associated items to XML fragments to present associations among trees rather than simple-structured items of atomic values. They are more flexible and powerful in representing both simple and complex structured association
The importance of morphological normalization for XML retrieval
Kamps, J.; Marx, M.J.; de Rijke, M.; Sigurbjörnsson, B.; Fuhr, N.; Gö, N.; Kazai, G.
2003-01-01
Current information retrieval systems typically ignore structural aspects of documents, solely focusing on the textual content instead. But documents containing additional structure in the form of HTML, XML, or SGML mark-up are pervasive on the Internet. The XML retrieval task presents a number of
MetaLex XML and the legal knowledge interchange format
Boer, A.; Winkels, R.; Vitali, F.; Sartor, G.; Casanovas, P.; Casellas, N; Robino, R
2008-01-01
Electronic government invariably involves XML and electronic law: legislation is as essential to public administration as the ball is to a ball game. This paper gives an overview of two XML standard proposals dealing with two complementary aspects of electronic legislation - the documents themselves
Integrity Checking and Maintenance with Active Rules in XML Databases
DEFF Research Database (Denmark)
Christiansen, Henning; Rekouts, Maria
2007-01-01
for the purpose are still rather untested in XML databases. We present the first steps towards a methodology for design and verification of triggers that maintain integrity in XML databases. Starting from a specification of the integrity constraints plus a collection of XPath expressions describing the possible...
An XML file format for exchanging singlet lens specifications
Gay, Shawn C.; Gangadhara, Sanjay
2015-10-01
Zemax has developed an XML schema for the distribution of singlet lens specifications based on the ISO 10110 standard. In OpticStudio 15, this kind of XML data can be exported from the ISO Element Drawing analysis. The data file is then used in a feature that automates exchange of lens data between designer and manufacturer, the Cost Estimator. This Cost Estimator feature submits the XML data to various manufacturers to obtain cost estimates for prototype lens production. The workflow centered on the XML data exchange facilitates rapid cost estimate retrieval and eliminates the need for redundant manual data entry. The XML Schema Definition (XSD) for the XML format can be used with Microsoft developer tools to automatically create .NET classes to serialize and deserialize the singlet lens data to/from XML files. The format provides flexible unit specification for most parameters. Choosing XML as the basis for the file format has provided several benefits, such as the above mentioned automated serialization capabilities in .NET, a human-readable text-based format, and ready support for consumption by web services.
The TIJAH XML-IR system at INEX 2003
J.A. List; V. Mihajlovic; A.P. de Vries (Arjen); G. Ramirez Camps (Georgina); D. Hiemstra
2003-01-01
textabstractThis paper discusses our participation in INEX (the Initiative for the Evaluation of XML Retrieval) using the TIJAH XML-IR system. TIJAH's system design follows a `standard' layered database architecture, carefully separating the conceptual, logical and physical levels. At the conceptual
Elements of mathematics algebra
Bourbaki, Nicolas
2003-01-01
This is a softcover reprint of the English translation of 1990 of the revised and expanded version of Bourbaki's, Algèbre, Chapters 4 to 7 (1981). This completes Algebra, 1 to 3, by establishing the theories of commutative fields and modules over a principal ideal domain. Chapter 4 deals with polynomials, rational fractions and power series. A section on symmetric tensors and polynomial mappings between modules, and a final one on symmetric functions, have been added. Chapter 5 was entirely rewritten. After the basic theory of extensions (prime fields, algebraic, algebraically closed, radical extension), separable algebraic extensions are investigated, giving way to a section on Galois theory. Galois theory is in turn applied to finite fields and abelian extensions. The chapter then proceeds to the study of general non-algebraic extensions which cannot usually be found in textbooks: p-bases, transcendental extensions, separability criterions, regular extensions. Chapter 6 treats ordered groups and fields and...
The appropriateness of XML for diagnostic description
International Nuclear Information System (INIS)
Neto, A.; Lister, J.B.; Fernandes, H.; Yonekawa, I.; Varandas, C.A.F.
2007-01-01
A standard for the self-description of fusion plasma diagnostics will be required in the near future. The motivation is to maintain and organize the information on all the components of a laboratory experiment, from the hardware to the access security, to save time and money. Since there is no existing standard to organize this kind of information, every EU Association stores and organizes each experiment in different ways. This can lead to severe problems when the particular organization schema is poorly documented. Standardization is the key to solve these problems. From the commercial information on the diagnostic (component supplier; component price) to the hardware description (component specifications; drawings) to the operation of the equipment (finite state machines) through change control (who changed what and when) and internationalization (information at least in English and a local language). This problem will be met on the ITER project, for which a solution is essential. A strong candidate solution is the Extensible Markup Language (XML). In this paper, a review of the current status of XML related technologies will be presented
The appropriateness of XML for diagnostic description
Energy Technology Data Exchange (ETDEWEB)
Neto, A. [Associacao Euratom/IST, Centro de Fusao Nuclear, Av. Rovisco Pais, P-1049-001 Lisboa (Portugal)], E-mail: andre.neto@cfn.ist.utl.pt; Lister, J.B. [CRPP-EPFL, Association EURATOM-Confederation Suisse, 1015 Lausanne (Switzerland); Fernandes, H. [Associacao Euratom/IST, Centro de Fusao Nuclear, Av. Rovisco Pais, P-1049-001 Lisboa (Portugal); Yonekawa, I. [JAEA, Japan Atomic Energy Agency Naka (Japan); Varandas, C.A.F. [Associacao Euratom/IST, Centro de Fusao Nuclear, Av. Rovisco Pais, P-1049-001 Lisboa (Portugal)
2007-10-15
A standard for the self-description of fusion plasma diagnostics will be required in the near future. The motivation is to maintain and organize the information on all the components of a laboratory experiment, from the hardware to the access security, to save time and money. Since there is no existing standard to organize this kind of information, every EU Association stores and organizes each experiment in different ways. This can lead to severe problems when the particular organization schema is poorly documented. Standardization is the key to solve these problems. From the commercial information on the diagnostic (component supplier; component price) to the hardware description (component specifications; drawings) to the operation of the equipment (finite state machines) through change control (who changed what and when) and internationalization (information at least in English and a local language). This problem will be met on the ITER project, for which a solution is essential. A strong candidate solution is the Extensible Markup Language (XML). In this paper, a review of the current status of XML related technologies will be presented.
The Big Bang - XML expanding the information universe
International Nuclear Information System (INIS)
Rutt, S.; Chamberlain, M.; Buckley, G.
2004-01-01
The XML language is discussed as a tool in the information management. Industries are adopting XML as a means of making disparate systems talk with each other or as a means of swapping information between different organisations and different operating systems by using a common set of mark-up. More important to this discussion is the ability to use XML within the field of Technical Documentation and Publication. The capabilities of XML in work with different types of documents are presented. In conclusion, a summary is given of the benefits of using an XML solution: Precisely match your requirements at no more initial cost; Single Source Dynamic Content Delivery and Management; 100% of authors time is spent creating content; Content is no longer locked into its format; Reduced hardware and data storage requirements; Content survives the publishing lifecycle; Auto-versioning/release management control; Workflows can be mapped and electronic audit trails made
Cluster algebras bases on vertex operator algebras
Czech Academy of Sciences Publication Activity Database
Zuevsky, Alexander
2016-01-01
Roč. 30, 28-29 (2016), č. článku 1640030. ISSN 0217-9792 Institutional support: RVO:67985840 Keywords : cluster alegbras * vertex operator algebras * Riemann surfaces Subject RIV: BA - General Mathematics Impact factor: 0.736, year: 2016 http://www.worldscientific.com/doi/abs/10.1142/S0217979216400300
Endomorphisms of graph algebras
DEFF Research Database (Denmark)
Conti, Roberto; Hong, Jeong Hee; Szymanski, Wojciech
2012-01-01
We initiate a systematic investigation of endomorphisms of graph C*-algebras C*(E), extending several known results on endomorphisms of the Cuntz algebras O_n. Most but not all of this study is focused on endomorphisms which permute the vertex projections and globally preserve the diagonal MASA D......_E of C*(E). Our results pertain both automorphisms and proper endomorphisms. Firstly, the Weyl group and the restricted Weyl group of a graph C*-algebra are introduced and investigated. In particular, criteria of outerness for automorphisms in the restricted Weyl group are found. We also show...
Schneider, Hans
1989-01-01
Linear algebra is one of the central disciplines in mathematics. A student of pure mathematics must know linear algebra if he is to continue with modern algebra or functional analysis. Much of the mathematics now taught to engineers and physicists requires it.This well-known and highly regarded text makes the subject accessible to undergraduates with little mathematical experience. Written mainly for students in physics, engineering, economics, and other fields outside mathematics, the book gives the theory of matrices and applications to systems of linear equations, as well as many related t
Chatterjee, D
2007-01-01
About the Book: This book provides exposition of the subject both in its general and algebraic aspects. It deals with the notions of topological spaces, compactness, connectedness, completeness including metrizability and compactification, algebraic aspects of topological spaces through homotopy groups and homology groups. It begins with the basic notions of topological spaces but soon going beyond them reaches the domain of algebra through the notions of homotopy, homology and cohomology. How these approaches work in harmony is the subject matter of this book. The book finally arrives at the
Orthogonal symmetries and Clifford algebras
Indian Academy of Sciences (India)
algebra over a field K, can be regarded as the Clifford algebra of a suitable nondegenerate quadratic form q over the base field K. In [13], such a form q is also explicitly constructed. The Grassmann algebra (or the exterior algebra) may also be regarded as the Clifford alge- bra of the null (totally isotropic) quadratic form.
Coreflections in Algebraic Quantum Logic
Jacobs, Bart; Mandemaker, Jorik
2012-07-01
Various generalizations of Boolean algebras are being studied in algebraic quantum logic, including orthomodular lattices, orthomodular po-sets, orthoalgebras and effect algebras. This paper contains a systematic study of the structure in and between categories of such algebras. It does so via a combination of totalization (of partially defined operations) and transfer of structure via coreflections.
An XML-hierarchical data structure for ENSDF
International Nuclear Information System (INIS)
Hurst, Aaron M.
2016-01-01
A data structure based on an eXtensible Markup Language (XML) hierarchy according to experimental nuclear structure data in the Evaluated Nuclear Structure Data File (ENSDF) is presented. A Python-coded translator has been developed to interpret the standard one-card records of the ENSDF datasets, together with their associated quantities defined according to field position, and generate corresponding representative XML output. The quantities belonging to this mixed-record format are described in the ENSDF manual. Of the 16 ENSDF records in total, XML output has been successfully generated for 15 records. An XML-translation for the Comment Record is yet to be implemented; this will be considered in a separate phase of the overall translation effort. Continuation records, not yet implemented, will also be treated in a future phase of this work. Several examples are presented in this document to illustrate the XML schema and methods for handling the various ENSDF data types. However, the proposed nomenclature for the XML elements and attributes need not necessarily be considered as a fixed set of constructs. Indeed, better conventions may be suggested and a consensus can be achieved amongst the various groups of people interested in this project. The main purpose here is to present an initial phase of the translation effort to demonstrate the feasibility of interpreting ENSDF datasets and creating a representative XML-structured hierarchy for data storage.
Modeling the Arden Syntax for medical decisions in XML.
Kim, Sukil; Haug, Peter J; Rocha, Roberto A; Choi, Inyoung
2008-10-01
A new model expressing Arden Syntax with the eXtensible Markup Language (XML) was developed to increase its portability. Every example was manually parsed and reviewed until the schema and the style sheet were considered to be optimized. When the first schema was finished, several MLMs in Arden Syntax Markup Language (ArdenML) were validated against the schema. They were then transformed to HTML formats with the style sheet, during which they were compared to the original text version of their own MLM. When faults were found in the transformed MLM, the schema and/or style sheet was fixed. This cycle continued until all the examples were encoded into XML documents. The original MLMs were encoded in XML according to the proposed XML schema and reverse-parsed MLMs in ArdenML were checked using a public domain Arden Syntax checker. Two hundred seventy seven examples of MLMs were successfully transformed into XML documents using the model, and the reverse-parse yielded the original text version of MLMs. Two hundred sixty five of the 277 MLMs showed the same error patterns before and after transformation, and all 11 errors related to statement structure were resolved in XML version. The model uses two syntax checking mechanisms, first an XML validation process, and second, a syntax check using an XSL style sheet. Now that we have a schema for ArdenML, we can also begin the development of style sheets for transformation ArdenML into other languages.
An XML-hierarchical data structure for ENSDF
Energy Technology Data Exchange (ETDEWEB)
Hurst, Aaron M. [Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
2016-03-15
A data structure based on an eXtensible Markup Language (XML) hierarchy according to experimental nuclear structure data in the Evaluated Nuclear Structure Data File (ENSDF) is presented. A Python-coded translator has been developed to interpret the standard one-card records of the ENSDF datasets, together with their associated quantities defined according to field position, and generate corresponding representative XML output. The quantities belonging to this mixed-record format are described in the ENSDF manual. Of the 16 ENSDF records in total, XML output has been successfully generated for 15 records. An XML-translation for the Comment Record is yet to be implemented; this will be considered in a separate phase of the overall translation effort. Continuation records, not yet implemented, will also be treated in a future phase of this work. Several examples are presented in this document to illustrate the XML schema and methods for handling the various ENSDF data types. However, the proposed nomenclature for the XML elements and attributes need not necessarily be considered as a fixed set of constructs. Indeed, better conventions may be suggested and a consensus can be achieved amongst the various groups of people interested in this project. The main purpose here is to present an initial phase of the translation effort to demonstrate the feasibility of interpreting ENSDF datasets and creating a representative XML-structured hierarchy for data storage.
ECG and XML: an instance of a possible XML schema for the ECG telemonitoring.
Di Giacomo, Paola; Ricci, Fabrizio L
2005-03-01
Management of many types of chronic diseases relies heavily on patients' self-monitoring of their disease conditions. In recent years, Internet-based home telemonitoring systems allowing transmission of patient data to a central database and offering immediate access to the data by the care providers have become available. The adoption of Extensible Mark-up Language (XML) as a W3C standard has generated considerable interest in the potential value of this language in health informatics. However, the telemonitoring systems often work with only one or a few types of medical devices. This is because different medical devices produce different types of data, and the existing telemonitoring systems are generally built around a proprietary data schema. In this paper, we describe a generic data schema for a telemonitoring system that is applicable to different types of medical devices and different diseases, and then we present an architecture for the exchange of clinical information as data, signals of telemonitoring and clinical reports in the XML standard, up-to-date information in each electronic patient record and integration in real time with the information collected during the telemonitoring activities in the XML schema, between all the structures involved in the healthcare process of the patient.
Data Complexity Metrics for XML Web Services
Directory of Open Access Journals (Sweden)
MISRA, S.
2009-06-01
Full Text Available Web services that are based on eXtensible Markup Language (XML technologies enable integration of diverse IT processes and systems and have been gaining extraordinary acceptance from the basic to the most complicated business and scientific processes. The maintainability is one of the important factors that affect the quality of the Web services that can be seen a kind of software project. The effective management of any type of software projects requires modelling, measurement, and quantification. This study presents a metric for the assessment of the quality of the Web services in terms of its maintainability. For this purpose we proposed a data complexity metric that can be evaluated by analyzing WSDL (Web Service Description Language documents used for describing Web services.
Axler, Sheldon
2015-01-01
This best-selling textbook for a second course in linear algebra is aimed at undergrad math majors and graduate students. The novel approach taken here banishes determinants to the end of the book. The text focuses on the central goal of linear algebra: understanding the structure of linear operators on finite-dimensional vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. The third edition contains major improvements and revisions throughout the book. More than 300 new exercises have been added since the previous edition. Many new examples have been added to illustrate the key ideas of linear algebra. New topics covered in the book include product spaces, quotient spaces, and dual spaces. Beautiful new formatting creates pages with an unusually pleasant appearance in both print and electronic versions. No prerequisites are assumed other than the ...
Özen, Kahraman Esen; Tosun, Murat
2018-01-01
In this study, we define the elliptic biquaternions and construct the algebra of elliptic biquaternions over the elliptic number field. Also we give basic properties of elliptic biquaternions. An elliptic biquaternion is in the form A0 + A1i + A2j + A3k which is a linear combination of {1, i, j, k} where the four components A0, A1, A2 and A3 are elliptic numbers. Here, 1, i, j, k are the quaternion basis of the elliptic biquaternion algebra and satisfy the same multiplication rules which are satisfied in both real quaternion algebra and complex quaternion algebra. In addition, we discuss the terms; conjugate, inner product, semi-norm, modulus and inverse for elliptic biquaternions.
Algebraic Semantics for Narrative
Kahn, E.
1974-01-01
This paper uses discussion of Edmund Spenser's "The Faerie Queene" to present a theoretical framework for explaining the semantics of narrative discourse. The algebraic theory of finite automata is used. (CK)
A Study of XML in the Library Science Curriculum in Taiwan and South East Asia
Chang, Naicheng; Huang, Yuhui; Hopkinson, Alan
2011-01-01
This paper aims to investigate the current XML-related courses available in 96 LIS schools in South East Asia and Taiwan's 9 LIS schools. Also, this study investigates the linkage of library school graduates in Taiwan who took different levels of XML-related education (that is XML arranged as an individual course or XML arranged as a section unit…
Using XML to Separate Content from the Presentation Software in eLearning Applications
Merrill, Paul F.
2005-01-01
This paper has shown how XML (extensible Markup Language) can be used to mark up content. Since XML documents, with meaningful tags, can be interpreted easily by humans as well as computers, they are ideal for the interchange of information. Because XML tags can be defined by an individual or organization, XML documents have proven useful in a…
Deficiently extremal Gorenstein algebras
Indian Academy of Sciences (India)
Thus, R/I is a Cohen–. Macaulay algebra of Type 1, and hence R/I is Gorenstein. In view of Theorem 2.1, R/I is a nearly (or 1-deficient) extremal Gorenstein algebra. We now shall describe a result of Bruns and Hibi [1] which characterizes the Stanley–. Reisner rings having 2-pure but not 2-linear resolutions. Theorem 2.3.
Intermediate algebra a textworkbook
McKeague, Charles P
1985-01-01
Intermediate Algebra: A Text/Workbook, Second Edition focuses on the principles, operations, and approaches involved in intermediate algebra. The publication first takes a look at basic properties and definitions, first-degree equations and inequalities, and exponents and polynomials. Discussions focus on properties of exponents, polynomials, sums, and differences, multiplication of polynomials, inequalities involving absolute value, word problems, first-degree inequalities, real numbers, opposites, reciprocals, and absolute value, and addition and subtraction of real numbers. The text then ex
Beginning algebra a textworkbook
McKeague, Charles P
1985-01-01
Beginning Algebra: A Text/Workbook, Second Edition focuses on the principles, operations, and approaches involved in algebra. The publication first elaborates on the basics, linear equations and inequalities, and graphing and linear systems. Discussions focus on solving linear systems by graphing, elimination method, graphing ordered pairs and straight lines, linear and compound inequalities, addition and subtraction of real numbers, and properties of real numbers. The text then examines exponents and polynomials, factoring, and rational expressions. Topics include multiplication and division
International Nuclear Information System (INIS)
Waldron, A.K.; Joshi, G.C.
1992-01-01
By considering representation theory for non-associative algebras the fundamental adjoint representations of the octonion algebra is constructed. It is then shown how these representations by associative matrices allow a consistent octonionic gauge theory to be realized. It was found that non-associativity implies the existence of new terms in the transformation laws of fields and the kinetic term of an octonionic Lagrangian. 13 refs
Currents on Grassmann algebras
International Nuclear Information System (INIS)
Coquereaux, R.; Ragoucy, E.
1993-09-01
Currents are defined on a Grassmann algebra Gr(N) with N generators as distributions on its exterior algebra (using the symmetric wedge product). The currents are interpreted in terms of Z 2 -graded Hochschild cohomology and closed currents in terms of cyclic cocycles (they are particular multilinear forms on Gr(N)). An explicit construction of the vector space of closed currents of degree p on Gr(N) is given by using Berezin integration. (authors). 10 refs
Intermediate algebra & analytic geometry
Gondin, William R
1967-01-01
Intermediate Algebra & Analytic Geometry Made Simple focuses on the principles, processes, calculations, and methodologies involved in intermediate algebra and analytic geometry. The publication first offers information on linear equations in two unknowns and variables, functions, and graphs. Discussions focus on graphic interpretations, explicit and implicit functions, first quadrant graphs, variables and functions, determinate and indeterminate systems, independent and dependent equations, and defective and redundant systems. The text then examines quadratic equations in one variable, system
A Runtime System for XML Transformations in Java
DEFF Research Database (Denmark)
Christensen, Aske Simon; Kirkegaard, Christian; Møller, Anders
2004-01-01
We show that it is possible to extend a general-purpose programming language with a convenient high-level data-type for manipulating XML documents while permitting (1) precise static analysis for guaranteeing validity of the constructed XML documents relative to the given DTD schemas, and (2......) a runtime system where the operations can be performed efficiently. The system, named Xact, is based on a notion of immutable XML templates and uses XPath for deconstructing documents. A companion paper presents the program analysis; this paper focuses on the efficient runtime representation....
The Design Space of Type Checkers for XML Transformation Languages
DEFF Research Database (Denmark)
Møller, Anders; Schwartzbach, Michael Ignatieff
2005-01-01
We survey work on statically type checking XML transformations, covering a wide range of notations and ambitions. The concept of type may vary from idealizations of DTD to full-blown XML Schema or even more expressive formalisms. The notion of transformation may vary from clean and simple...... transductions to domain-specific languages or integration of XML in general-purpose programming languages. Type annotations can be either explicit or implicit, and type checking ranges from exact decidability to pragmatic approximations. We characterize and evaluate existing tools in this design space...
δ-dependency for privacy-preserving XML data publishing.
Landberg, Anders H; Nguyen, Kinh; Pardede, Eric; Rahayu, J Wenny
2014-08-01
An ever increasing amount of medical data such as electronic health records, is being collected, stored, shared and managed in large online health information systems and electronic medical record systems (EMR) (Williams et al., 2001; Virtanen, 2009; Huang and Liou, 2007) [1-3]. From such rich collections, data is often published in the form of census and statistical data sets for the purpose of knowledge sharing and enabling medical research. This brings with it an increasing need for protecting individual people privacy, and it becomes an issue of great importance especially when information about patients is exposed to the public. While the concept of data privacy has been comprehensively studied for relational data, models and algorithms addressing the distinct differences and complex structure of XML data are yet to be explored. Currently, the common compromise method is to convert private XML data into relational data for publication. This ad hoc approach results in significant loss of useful semantic information previously carried in the private XML data. Health data often has very complex structure, which is best expressed in XML. In fact, XML is the standard format for exchanging (e.g. HL7 version 3(1)) and publishing health information. Lack of means to deal directly with data in XML format is inevitably a serious drawback. In this paper we propose a novel privacy protection model for XML, and an algorithm for implementing this model. We provide general rules, both for transforming a private XML schema into a published XML schema, and for mapping private XML data to the new privacy-protected published XML data. In addition, we propose a new privacy property, δ-dependency, which can be applied to both relational and XML data, and that takes into consideration the hierarchical nature of sensitive data (as opposed to "quasi-identifiers"). Lastly, we provide an implementation of our model, algorithm and privacy property, and perform an experimental analysis
Static Analysis for Event-Based XML Processing
DEFF Research Database (Denmark)
Møller, Anders
2008-01-01
Event-based processing of XML data - as exemplified by the popular SAX framework - is a powerful alternative to using W3C's DOM or similar tree-based APIs. The event-based approach is a streaming fashion with minimal memory consumption. This paper discusses challenges for creating program analyses...... for SAX applications. In particular, we consider the problem of statically guaranteeing the a given SAX program always produces only well-formed and valid XML output. We propose an analysis technique based on ecisting anglyses of Servlets, string operations, and XML graphs....
Sample Scripts for Generating PaGE-OM XML [
Lifescience Database Archive (English)
Full Text Available Sample Scripts for Generating PaGE-OM XML This page is offering some sample scripts...on MySQL. Outline chart of procedure 6. Creating RDB tables for Generating PaGE-OM XML These scripts help yo...wnload: create_tables_sql2.zip 7. Generating PaGE-OM XML from phenotype data This sample Perl script helps y...ou to extract data from MySQL by an example. The user table is necessary to execute it appropriately. Example of script: makexml..._gv_full.pl #!usr/bin/perl ######################### # xmlmak
Application of XML in real-time data warehouse
Zhao, Yanhong; Wang, Beizhan; Liu, Lizhao; Ye, Su
2009-07-01
At present, XML is one of the most widely-used technologies of data-describing and data-exchanging, and the needs for real-time data make real-time data warehouse a popular area in the research of data warehouse. What effects can we have if we apply XML technology to the research of real-time data warehouse? XML technology solves many technologic problems which are impossible to be addressed in traditional real-time data warehouse, and realize the integration of OLAP (On-line Analytical Processing) and OLTP (Online transaction processing) environment. Then real-time data warehouse can truly be called "real time".
The 'golden' algebraic equations
International Nuclear Information System (INIS)
Stakhov, A.; Rozin, B.
2006-01-01
The special case of the (p + 1)th degree algebraic equations of the kind x p+1 = x p + 1 (p = 1, 2, 3, ?) is researched in the present article. For the case p = 1, the given equation is reduced to the well-known Golden Proportion equation x 2 = x + 1. These equations are called the golden algebraic equations because the golden p-proportions τ p , special irrational numbers that follow from Pascal's triangle, are their roots. A research on the general properties of the roots of the golden algebraic equations is carried out in this article. In particular, formulas are derived for the golden algebraic equations that have degree greater than p + 1. There is reason to suppose that algebraic equations derived by the authors in the present article will interest theoretical physicists. For example, these algebraic equations could be found in the research of the energy relationships within the structures of many compounds and physical particles. For the case of butadiene (C 4 H 6 ), this fact is proved by the famous physicist Richard Feynman
The Boolean algebra of Galois algebras
Directory of Open Access Journals (Sweden)
Lianyong Xue
2003-02-01
Full Text Available Let B be a Galois algebra with Galois group G, Jg={bÃ¢ÂˆÂˆB|bx=g(xbÃ¢Â€Â‰for allÃ¢Â€Â‰xÃ¢ÂˆÂˆB} for each gÃ¢ÂˆÂˆG, and BJg=Beg for a central idempotent eg, Ba the Boolean algebra generated by {0,eg|gÃ¢ÂˆÂˆG}, e a nonzero element in Ba, and He={gÃ¢ÂˆÂˆG|eeg=e}. Then, a monomial e is characterized, and the Galois extension Be, generated by e with Galois group He, is investigated.
Real division algebras and other algebras motivated by physics
Energy Technology Data Exchange (ETDEWEB)
Benkart, G.; Osborn, J.M.
1981-02-01
In this survey we discuss several general techniques which have been productive in the study of real division algebras, flexible Lie-admissible algebras, and other nonassociative algebras, and we summarize results obtained using these methods. The principal method involved in this work is to view an algebra A as a module for a semisimple Lie algebra of derivations of A and to use representation theory to study products in A. In the case of real division algebras, we also discuss the use of isotopy and the use of a generalized Peirce decomposition. Most of the work summarized here has appeared in more detail in various other papers. The exceptions are results on a class of algebras of dimension 15, motivated by physics, which admit the Lie algebra sl(3) as an algebra of derivations.
Tax compliance under tax regime changes
Heinemann, Friedrich; Kocher, Martin G.
2010-01-01
In this paper we focus on the compliance effects of tax regime changes. According to the economic model of tax evasion, a tax reform should affect compliance through its impact on tax rates and incentives. Our findings demonstrate the importance of at least two further effects not covered by the traditional model: First, reform losers tend to evade more taxes after the reform. Second, a reform from a proportionate to a progressive system decreases compliance compared to a switch in the revers...
Hecke algebras with unequal parameters
Lusztig, G
2003-01-01
Hecke algebras arise in representation theory as endomorphism algebras of induced representations. One of the most important classes of Hecke algebras is related to representations of reductive algebraic groups over p-adic or finite fields. In 1979, in the simplest (equal parameter) case of such Hecke algebras, Kazhdan and Lusztig discovered a particular basis (the KL-basis) in a Hecke algebra, which is very important in studying relations between representation theory and geometry of the corresponding flag varieties. It turned out that the elements of the KL-basis also possess very interesting combinatorial properties. In the present book, the author extends the theory of the KL-basis to a more general class of Hecke algebras, the so-called algebras with unequal parameters. In particular, he formulates conjectures describing the properties of Hecke algebras with unequal parameters and presents examples verifying these conjectures in particular cases. Written in the author's precise style, the book gives rese...
IMPROVED COMPRESSION OF XML FILES FOR FAST IMAGE TRANSMISSION
Directory of Open Access Journals (Sweden)
S. Manimurugan
2011-02-01
Full Text Available The eXtensible Markup Language (XML is a format that is widely used as a tool for data exchange and storage. It is being increasingly used in secure transmission of image data over wireless network and World Wide Web. Verbose in nature, XML files can be tens of megabytes long. Thus, to reduce their size and to allow faster transmission, compression becomes vital. Several general purpose compression tools have been proposed without satisfactory results. This paper proposes a novel technique using modified BWT for compressing XML files in a lossless fashion. The experimental results show that the performance of the proposed technique outperforms both general purpose and XML-specific compressors.
XML DTD and Schemas for HDF-EOS
Ullman, Richard; Yang, Jingli
2008-01-01
An Extensible Markup Language (XML) document type definition (DTD) standard for the structure and contents of HDF-EOS files and their contents, and an equivalent standard in the form of schemas, have been developed.
The XML approach to implementing space link extension service management
Tai, W.; Welz, G. A.; Theis, G.; Yamada, T.
2001-01-01
A feasibility study has been conducted at JPL, ESOC, and ISAS to assess the possible applications of the eXtensible Mark-up Language (XML) capabilities to the implementation of the CCSDS Space Link Extension (SLE) Service Management function.
Fuzzy-Based XML Knowledge Retrieval Methods in Edaphology
K. Naresh kumar; Ch. Satyanand Reddy; N.V.E.S. Murthy
2016-01-01
In this paper, we propose a proficient method for knowledge management in Edaphology to assist the edaphologists and those related with agriculture in a big way. The proposed method mainly consists two sections of which the first one is to build the knowledge base using XML and the latter part deals with information retrieval by searching using fuzzy. Initially, the relational database is converted to the XML database. The paper discusses two algorithms, one is...
Semi-automatic Citation Correction with Lemon8-XML
Directory of Open Access Journals (Sweden)
MJ Suhonos
2009-03-01
Full Text Available The Lemon8-XML software application, developed by the Public Knowledge Project (PKP, provides an open-source, computer-assisted interface for reliable citation structuring and validation. Lemon8-XML combines citation parsing algorithms with freely-available online indexes such as PubMed, WorldCat, and OAIster. Fully-automated markup of entire bibliographies may be a genuine possibility using this approach. Automated markup of citations would increase bibliographic accuracy while reducing copyediting demands.
XML Tactical Chat (XTC): The Way Ahead for Navy Chat
2007-09-01
DIS) PROTOCOL DIS-JAVA- VRML PROJECT......................................................................11 H. COMMAND AND CONTROL INFORMATION...simulation (DIS) protocol, the DIS-Java- VRML (Virtual Reality Modeling Language) project, and XML binary serialization using the Cross-Format Schema Protocol...geometries and behaviors expressed in the VRML 97 encoding. Because X3D is coded as XML, XTC clients might use the X3D format to pass virtual-reality models
Efficient Incremental Breadth-Depth XML Event Mining
Salem, Rashed; Darmont, Jérôme; Boussaïd, Omar
2011-01-01
International audience; Many applications log a large amount of events continuously. Extracting interesting knowledge from logged events is an emerging active research area in data mining. In this context, we propose an approach for mining frequent events and association rules from logged events in XML format. This approach is composed of two-main phases: I) constructing a novel tree structure called Frequency XML-based Tree (FXT), which contains the frequency of events to be mined; II) query...
Algebra II workbook for dummies
Sterling, Mary Jane
2014-01-01
To succeed in Algebra II, start practicing now Algebra II builds on your Algebra I skills to prepare you for trigonometry, calculus, and a of myriad STEM topics. Working through practice problems helps students better ingest and retain lesson content, creating a solid foundation to build on for future success. Algebra II Workbook For Dummies, 2nd Edition helps you learn Algebra II by doing Algebra II. Author and math professor Mary Jane Sterling walks you through the entire course, showing you how to approach and solve the problems you encounter in class. You'll begin by refreshing your Algebr
Davidson, Kenneth R
1996-01-01
The subject of C*-algebras received a dramatic revitalization in the 1970s by the introduction of topological methods through the work of Brown, Douglas, and Fillmore on extensions of C*-algebras and Elliott's use of K-theory to provide a useful classification of AF algebras. These results were the beginning of a marvelous new set of tools for analyzing concrete C*-algebras. This book is an introductory graduate level text which presents the basics of the subject through a detailed analysis of several important classes of C*-algebras. The development of operator algebras in the last twenty yea
DEFF Research Database (Denmark)
Sausgruber, Rupert; Tyran, Jean-Robert
2011-01-01
We let consumers vote on tax regimes in experimental markets. We test if taxes on sellers are more popular than taxes on consumers, i.e. on voters themselves, even if taxes on sellers are inefficiently high. Taxes on sellers are more popular if voters underestimate the extent of tax......-shifting in the market. We show that inexperienced voters are prone to such a tax-shifting bias, that experience is an effective de-biasing mechanism, but that pre-vote deliberation about tax regimes makes initially held opinions more extreme rather than correct. Our results suggest that voting on taxes is prone to bias...
A comparison of database systems for XML-type data.
Risse, Judith E; Leunissen, Jack A M
2010-01-01
In the field of bioinformatics interchangeable data formats based on XML are widely used. XML-type data is also at the core of most web services. With the increasing amount of data stored in XML comes the need for storing and accessing the data. In this paper we analyse the suitability of different database systems for storing and querying large datasets in general and Medline in particular. All reviewed database systems perform well when tested with small to medium sized datasets, however when the full Medline dataset is queried a large variation in query times is observed. There is not one system that is vastly superior to the others in this comparison and, depending on the database size and the query requirements, different systems are most suitable. The best all-round solution is the Oracle 11~g database system using the new binary storage option. Alias-i's Lingpipe is a more lightweight, customizable and sufficiently fast solution. It does however require more initial configuration steps. For data with a changing XML structure Sedna and BaseX as native XML database systems or MySQL with an XML-type column are suitable.
Interactions Between Representation Ttheory, Algebraic Topology and Commutative Algebra
Pitsch, Wolfgang; Zarzuela, Santiago
2016-01-01
This book includes 33 expanded abstracts of selected talks given at the two workshops "Homological Bonds Between Commutative Algebra and Representation Theory" and "Brave New Algebra: Opening Perspectives," and the conference "Opening Perspectives in Algebra, Representations, and Topology," held at the Centre de Recerca Matemàtica (CRM) in Barcelona between January and June 2015. These activities were part of the one-semester intensive research program "Interactions Between Representation Theory, Algebraic Topology and Commutative Algebra (IRTATCA)." Most of the abstracts present preliminary versions of not-yet published results and cover a large number of topics (including commutative and non commutative algebra, algebraic topology, singularity theory, triangulated categories, representation theory) overlapping with homological methods. This comprehensive book is a valuable resource for the community of researchers interested in homological algebra in a broad sense, and those curious to learn the latest dev...
Quantum cluster algebra structures on quantum nilpotent algebras
Goodearl, K R
2017-01-01
All algebras in a very large, axiomatically defined class of quantum nilpotent algebras are proved to possess quantum cluster algebra structures under mild conditions. Furthermore, it is shown that these quantum cluster algebras always equal the corresponding upper quantum cluster algebras. Previous approaches to these problems for the construction of (quantum) cluster algebra structures on (quantized) coordinate rings arising in Lie theory were done on a case by case basis relying on the combinatorics of each concrete family. The results of the paper have a broad range of applications to these problems, including the construction of quantum cluster algebra structures on quantum unipotent groups and quantum double Bruhat cells (the Berenstein-Zelevinsky conjecture), and treat these problems from a unified perspective. All such applications also establish equality between the constructed quantum cluster algebras and their upper counterparts.
Tax Incentives in Kosovo Tax System
Directory of Open Access Journals (Sweden)
Bedri Peci
2016-08-01
Full Text Available The aim of this research is to analyze and find out the major issue of tax incentives in Kosovo tax law. In this analysis we have used the research method of case study. The results of research show that Balkan countries in their tax systems have applied various mitigating measures that in tax theory are known as tax incentives. Taking into account that Kosovo regarding the application of tax incentives of CIT, compared with other countries is the last, designers by using the experiences of other countries should apply more tax incentives in order that tax policy to be more in function economic development. The study is of particular relevance to scholars, tax practitioners, expatriates who work and invest in Kosovo, etc.
Saadawi, Gilan M; Harrison, James H
2006-10-01
Clinical laboratory procedure manuals are typically maintained as word processor files and are inefficient to store and search, require substantial effort for review and updating, and integrate poorly with other laboratory information. Electronic document management systems could improve procedure management and utility. As a first step toward building such systems, we have developed a prototype electronic format for laboratory procedures using Extensible Markup Language (XML). Representative laboratory procedures were analyzed to identify document structure and data elements. This information was used to create a markup vocabulary, CLP-ML, expressed as an XML Document Type Definition (DTD). To determine whether this markup provided advantages over generic markup, we compared procedures structured with CLP-ML or with the vocabulary of the Health Level Seven, Inc. (HL7) Clinical Document Architecture (CDA) narrative block. CLP-ML includes 124 XML tags and supports a variety of procedure types across different laboratory sections. When compared with a general-purpose markup vocabulary (CDA narrative block), CLP-ML documents were easier to edit and read, less complex structurally, and simpler to traverse for searching and retrieval. In combination with appropriate software, CLP-ML is designed to support electronic authoring, reviewing, distributing, and searching of clinical laboratory procedures from a central repository, decreasing procedure maintenance effort and increasing the utility of procedure information. A standard electronic procedure format could also allow laboratories and vendors to share procedures and procedure layouts, minimizing duplicative word processor editing. Our results suggest that laboratory-specific markup such as CLP-ML will provide greater benefit for such systems than generic markup.
Identities and derivations for Jacobian algebras
International Nuclear Information System (INIS)
Dzhumadil'daev, A.S.
2001-09-01
Constructions of n-Lie algebras by strong n-Lie-Poisson algebras are given. First cohomology groups of adjoint module of Jacobian algebras are calculated. Minimal identities of 3-Jacobian algebra are found. (author)
Deo, Satya
2018-01-01
This book presents the first concepts of the topics in algebraic topology such as the general simplicial complexes, simplicial homology theory, fundamental groups, covering spaces and singular homology theory in greater detail. Originally published in 2003, this book has become one of the seminal books. Now, in the completely revised and enlarged edition, the book discusses the rapidly developing field of algebraic topology. Targeted to undergraduate and graduate students of mathematics, the prerequisite for this book is minimal knowledge of linear algebra, group theory and topological spaces. The book discusses about the relevant concepts and ideas in a very lucid manner, providing suitable motivations and illustrations. All relevant topics are covered, including the classical theorems like the Brouwer’s fixed point theorem, Lefschetz fixed point theorem, Borsuk-Ulam theorem, Brouwer’s separation theorem and the theorem on invariance of the domain. Most of the exercises are elementary, but sometimes chal...
Algebraic quantum field theory
International Nuclear Information System (INIS)
Foroutan, A.
1996-12-01
The basic assumption that the complete information relevant for a relativistic, local quantum theory is contained in the net structure of the local observables of this theory results first of all in a concise formulation of the algebraic structure of the superselection theory and an intrinsic formulation of charge composition, charge conjugation and the statistics of an algebraic quantum field theory. In a next step, the locality of massive particles together with their spectral properties are wed for the formulation of a selection criterion which opens the access to the massive, non-abelian quantum gauge theories. The role of the electric charge as a superselection rule results in the introduction of charge classes which in term lead to a set of quantum states with optimum localization properties. Finally, the asymptotic observables of quantum electrodynamics are investigated within the framework of algebraic quantum field theory. (author)
Jarvis, Frazer
2014-01-01
The technical difficulties of algebraic number theory often make this subject appear difficult to beginners. This undergraduate textbook provides a welcome solution to these problems as it provides an approachable and thorough introduction to the topic. Algebraic Number Theory takes the reader from unique factorisation in the integers through to the modern-day number field sieve. The first few chapters consider the importance of arithmetic in fields larger than the rational numbers. Whilst some results generalise well, the unique factorisation of the integers in these more general number fields often fail. Algebraic number theory aims to overcome this problem. Most examples are taken from quadratic fields, for which calculations are easy to perform. The middle section considers more general theory and results for number fields, and the book concludes with some topics which are more likely to be suitable for advanced students, namely, the analytic class number formula and the number field sieve. This is the fi...
Kollár, János
1997-01-01
This volume contains the lectures presented at the third Regional Geometry Institute at Park City in 1993. The lectures provide an introduction to the subject, complex algebraic geometry, making the book suitable as a text for second- and third-year graduate students. The book deals with topics in algebraic geometry where one can reach the level of current research while starting with the basics. Topics covered include the theory of surfaces from the viewpoint of recent higher-dimensional developments, providing an excellent introduction to more advanced topics such as the minimal model program. Also included is an introduction to Hodge theory and intersection homology based on the simple topological ideas of Lefschetz and an overview of the recent interactions between algebraic geometry and theoretical physics, which involve mirror symmetry and string theory.
Blyth, T S
2002-01-01
Basic Linear Algebra is a text for first year students leading from concrete examples to abstract theorems, via tutorial-type exercises. More exercises (of the kind a student may expect in examination papers) are grouped at the end of each section. The book covers the most important basics of any first course on linear algebra, explaining the algebra of matrices with applications to analytic geometry, systems of linear equations, difference equations and complex numbers. Linear equations are treated via Hermite normal forms which provides a successful and concrete explanation of the notion of linear independence. Another important highlight is the connection between linear mappings and matrices leading to the change of basis theorem which opens the door to the notion of similarity. This new and revised edition features additional exercises and coverage of Cramer's rule (omitted from the first edition). However, it is the new, extra chapter on computer assistance that will be of particular interest to readers:...
Bloch, Spencer J
2000-01-01
This book is the long-awaited publication of the famous Irvine lectures. Delivered in 1978 at the University of California at Irvine, these lectures turned out to be an entry point to several intimately-connected new branches of arithmetic algebraic geometry, such as regulators and special values of L-functions of algebraic varieties, explicit formulas for them in terms of polylogarithms, the theory of algebraic cycles, and eventually the general theory of mixed motives which unifies and underlies all of the above (and much more). In the 20 years since, the importance of Bloch's lectures has not diminished. A lucky group of people working in the above areas had the good fortune to possess a copy of old typewritten notes of these lectures. Now everyone can have their own copy of this classic work.
Wadsworth, A R
2017-01-01
This is a book of problems in abstract algebra for strong undergraduates or beginning graduate students. It can be used as a supplement to a course or for self-study. The book provides more variety and more challenging problems than are found in most algebra textbooks. It is intended for students wanting to enrich their learning of mathematics by tackling problems that take some thought and effort to solve. The book contains problems on groups (including the Sylow Theorems, solvable groups, presentation of groups by generators and relations, and structure and duality for finite abelian groups); rings (including basic ideal theory and factorization in integral domains and Gauss's Theorem); linear algebra (emphasizing linear transformations, including canonical forms); and fields (including Galois theory). Hints to many problems are also included.
Peternell, Thomas; Schneider, Michael; Schreyer, Frank-Olaf
1992-01-01
The Bayreuth meeting on "Complex Algebraic Varieties" focussed on the classification of algebraic varieties and topics such as vector bundles, Hodge theory and hermitian differential geometry. Most of the articles in this volume are closely related to talks given at the conference: all are original, fully refereed research articles. CONTENTS: A. Beauville: Annulation du H(1) pour les fibres en droites plats.- M. Beltrametti, A.J. Sommese, J.A. Wisniewski: Results on varieties with many lines and their applications to adjunction theory.- G. Bohnhorst, H. Spindler: The stability of certain vector bundles on P(n) .- F. Catanese, F. Tovena: Vector bundles, linear systems and extensions of (1).- O. Debarre: Vers uns stratification de l'espace des modules des varietes abeliennes principalement polarisees.- J.P. Demailly: Singular hermitian metrics on positive line bundles.- T. Fujita: On adjoint bundles of ample vector bundles.- Y. Kawamata: Moderate degenerations of algebraic surfaces.- U. Persson: Genus two fibra...
Abstract Algebra for Algebra Teaching: Influencing School Mathematics Instruction
Wasserman, Nicholas H.
2016-01-01
This article explores the potential for aspects of abstract algebra to be influential for the teaching of school algebra (and early algebra). Using national standards for analysis, four primary areas common in school mathematics--and their progression across elementary, middle, and secondary mathematics--where teaching may be transformed by…
Measuring Tax Efficiency: A Tax Optimality Index
Raimondos-Møller, Pascalis; Woodland, Alan D
2004-01-01
This paper introduces an index of tax optimality that measures the distance of some current tax structure from the optimal tax structure in the presence of public goods. In doing so, we derive a [0, 1] number that reveals immediately how far the current tax configuration is from the optimal one and, thereby, the degree of efficiency of a tax system. We call this number the Tax Optimality Index. We show how the basic method can be altered in order to derive a revenue equivale...
Tax Incentives in Kosovo Tax System
Bedri Peci
2016-01-01
The aim of this research is to analyze and find out the major issue of tax incentives in Kosovo tax law. In this analysis we have used the research method of case study. The results of research show that Balkan countries in their tax systems have applied various mitigating measures that in tax theory are known as tax incentives. Taking into account that Kosovo regarding the application of tax incentives of CIT, compared with other countries is the last, designers by using the expe...
Encoding of coordination complexes with XML.
Vinoth, P; Sankar, P
2017-09-01
An in-silico system to encode structure, bonding and properties of coordination complexes is developed. The encoding is achieved through a semantic XML markup frame. Composition of the coordination complexes is captured in terms of central atom and ligands. Structural information of central atom is detailed in terms of electron status of valence electron orbitals. The ligands are encoded with specific reference to the electron environment of ligand centre atoms. Behaviour of ligands to form low or high spin complexes is accomplished by assigning a Ligand Centre Value to every ligand based on the electronic environment of ligand centre atom. Chemical ontologies are used for categorization purpose and to control different hybridization schemes. Complexes formed by the central atoms of transition metal, non-transition elements belonging to s-block, p-block and f-block are encoded with a generic encoding platform. Complexes of homoleptic, heteroleptic and bridged types are also covered by this encoding system. Utility of the encoded system to predict redox electron transfer reaction in the coordination complexes is demonstrated with a simple application. Copyright © 2017 Elsevier Inc. All rights reserved.
On Associative Conformal Algebras of Linear Growth
Retakh, Alexander
2000-01-01
Lie conformal algebras appear in the theory of vertex algebras. Their relation is similar to that of Lie algebras and their universal enveloping algebras. Associative conformal algebras play a role in conformal representation theory. We introduce the notions of conformal identity and unital associative conformal algebras and classify finitely generated simple unital associative conformal algebras of linear growth. These are precisely the complete algebras of conformal endomorphisms of finite ...
Ahmad, U; Hassan, M W; McClatchey, R; Willers, I; Ahmad, Uzair; Ali, Arshad; Clatchey, Richard Mc; Hassan, Mohammad Waseem; Willers, Ian
2004-01-01
CERN's (European Organization for Nuclear Research) WISDOM project uses XML for the replication of data between different data repositories in a heterogeneous operating system environment. For exchanging data from Web-resident databases, the data needs to be transformed into XML and back to the database format. Many different approaches are employed to do this transformation. This paper addresses issues that make this job more efficient and robust than existing approaches. It incorporates the World Wide Web Consortium (W3C) XML Schema specification in the database-XML relationship. Incorporation of the XML Schema exhibits significant improvements in XML content usage and reduces the limitations of DTD-based database XML services. Secondly the paper explores the possibility of database independent transformation of data between XML and different databases. It proposes a standard XML format that every serialized object should follow. This makes it possible to use objects of heterogeneous database seamlessly usi...
Computer Program For Linear Algebra
Krogh, F. T.; Hanson, R. J.
1987-01-01
Collection of routines provided for basic vector operations. Basic Linear Algebra Subprogram (BLAS) library is collection from FORTRAN-callable routines for employing standard techniques to perform basic operations of numerical linear algebra.
Atomistic and orthoatomistic effect algebras
Tkadlec, Josef
2008-05-01
We characterize atomistic effect algebras, prove that a weakly orthocomplete Archimedean atomic effect algebra is orthoatomistic and present an example of an orthoatomistic orthomodular poset that is not weakly orthocomplete.
Algebra for Gifted Third Graders.
Borenson, Henry
1987-01-01
Elementary school children who are exposed to a concrete, hands-on experience in algebraic linear equations will more readily develop a positive mind-set and expectation for success in later formal, algebraic studies. (CB)
Contractions of quantum algebraic structures
International Nuclear Information System (INIS)
Doikou, A.; Sfetsos, K.
2010-01-01
A general framework for obtaining certain types of contracted and centrally extended algebras is reviewed. The whole process relies on the existence of quadratic algebras, which appear in the context of boundary integrable models. (Abstract Copyright [2010], Wiley Periodicals, Inc.)
Hohn, Franz E
2012-01-01
This complete and coherent exposition, complemented by numerous illustrative examples, offers readers a text that can teach by itself. Fully rigorous in its treatment, it offers a mathematically sound sequencing of topics. The work starts with the most basic laws of matrix algebra and progresses to the sweep-out process for obtaining the complete solution of any given system of linear equations - homogeneous or nonhomogeneous - and the role of matrix algebra in the presentation of useful geometric ideas, techniques, and terminology.Other subjects include the complete treatment of the structur
Algebra & trigonometry super review
2012-01-01
Get all you need to know with Super Reviews! Each Super Review is packed with in-depth, student-friendly topic reviews that fully explain everything about the subject. The Algebra and Trigonometry Super Review includes sets and set operations, number systems and fundamental algebraic laws and operations, exponents and radicals, polynomials and rational expressions, equations, linear equations and systems of linear equations, inequalities, relations and functions, quadratic equations, equations of higher order, ratios, proportions, and variations. Take the Super Review quizzes to see how much y
Principles of algebraic geometry
Griffiths, Phillip A
1994-01-01
A comprehensive, self-contained treatment presenting general results of the theory. Establishes a geometric intuition and a working facility with specific geometric practices. Emphasizes applications through the study of interesting examples and the development of computational tools. Coverage ranges from analytic to geometric. Treats basic techniques and results of complex manifold theory, focusing on results applicable to projective varieties, and includes discussion of the theory of Riemann surfaces and algebraic curves, algebraic surfaces and the quadric line complex as well as special top
Artin, Emil
2007-01-01
The present text was first published in 1947 by the Courant Institute of Mathematical Sciences of New York University. Published under the title Modern Higher Algebra. Galois Theory, it was based on lectures by Emil Artin and written by Albert A. Blank. This volume became one of the most popular in the series of lecture notes published by Courant. Many instructors used the book as a textbook, and it was popular among students as a supplementary text as well as a primary textbook. Because of its popularity, Courant has republished the volume under the new title Algebra with Galois Theory.
International Nuclear Information System (INIS)
Christian, J M; McDonald, G S; Chamorro-Posada, P
2010-01-01
We report, to the best of our knowledge, the first exact analytical algebraic solitons of a generalized cubic-quintic Helmholtz equation. This class of governing equation plays a key role in photonics modelling, allowing a full description of the propagation and interaction of broad scalar beams. New conservation laws are presented, and the recovery of paraxial results is discussed in detail. The stability properties of the new solitons are investigated by combining semi-analytical methods and computer simulations. In particular, new general stability regimes are reported for algebraic bright solitons.
Pseudo Algebraically Closed Extensions
Bary-Soroker, Lior
2009-07-01
This PhD deals with the notion of pseudo algebraically closed (PAC) extensions of fields. It develops a group-theoretic machinery, based on a generalization of embedding problems, to study these extensions. Perhaps the main result is that although there are many PAC extensions, the Galois closure of a proper PAC extension is separably closed. The dissertation also contains the following subjects. The group theoretical counterpart of pseudo algebraically closed extensions, the so-called projective pairs. Applications to seemingly unrelated subjects, e.g., an analog of Dirichlet's theorem about primes in arithmetic progression for polynomial rings in one variable over infinite fields.
Hogben, Leslie
2013-01-01
With a substantial amount of new material, the Handbook of Linear Algebra, Second Edition provides comprehensive coverage of linear algebra concepts, applications, and computational software packages in an easy-to-use format. It guides you from the very elementary aspects of the subject to the frontiers of current research. Along with revisions and updates throughout, the second edition of this bestseller includes 20 new chapters.New to the Second EditionSeparate chapters on Schur complements, additional types of canonical forms, tensors, matrix polynomials, matrix equations, special types of
Algebraic curves and cryptography
Murty, V Kumar
2010-01-01
It is by now a well-known paradigm that public-key cryptosystems can be built using finite Abelian groups and that algebraic geometry provides a supply of such groups through Abelian varieties over finite fields. Of special interest are the Abelian varieties that are Jacobians of algebraic curves. All of the articles in this volume are centered on the theme of point counting and explicit arithmetic on the Jacobians of curves over finite fields. The topics covered include Schoof's \\ell-adic point counting algorithm, the p-adic algorithms of Kedlaya and Denef-Vercauteren, explicit arithmetic on
Partially ordered algebraic systems
Fuchs, Laszlo
2011-01-01
Originally published in an important series of books on pure and applied mathematics, this monograph by a distinguished mathematician explores a high-level area in algebra. It constitutes the first systematic summary of research concerning partially ordered groups, semigroups, rings, and fields. The self-contained treatment features numerous problems, complete proofs, a detailed bibliography, and indexes. It presumes some knowledge of abstract algebra, providing necessary background and references where appropriate. This inexpensive edition of a hard-to-find systematic survey will fill a gap i
Kendig, Keith
2015-01-01
Designed to make learning introductory algebraic geometry as easy as possible, this text is intended for advanced undergraduates and graduate students who have taken a one-year course in algebra and are familiar with complex analysis. This newly updated second edition enhances the original treatment's extensive use of concrete examples and exercises with numerous figures that have been specially redrawn in Adobe Illustrator. An introductory chapter that focuses on examples of curves is followed by a more rigorous and careful look at plane curves. Subsequent chapters explore commutative ring th
Weiss, Edwin
1998-01-01
Careful organization and clear, detailed proofs characterize this methodical, self-contained exposition of basic results of classical algebraic number theory from a relatively modem point of view. This volume presents most of the number-theoretic prerequisites for a study of either class field theory (as formulated by Artin and Tate) or the contemporary treatment of analytical questions (as found, for example, in Tate's thesis).Although concerned exclusively with algebraic number fields, this treatment features axiomatic formulations with a considerable range of applications. Modem abstract te
Algebra & trigonometry I essentials
REA, Editors of
2012-01-01
REA's Essentials provide quick and easy access to critical information in a variety of different fields, ranging from the most basic to the most advanced. As its name implies, these concise, comprehensive study guides summarize the essentials of the field covered. Essentials are helpful when preparing for exams, doing homework and will remain a lasting reference source for students, teachers, and professionals. Algebra & Trigonometry I includes sets and set operations, number systems and fundamental algebraic laws and operations, exponents and radicals, polynomials and rational expressions, eq
Linear Algebra Thoroughly Explained
Vujičić, Milan
2008-01-01
Linear Algebra Thoroughly Explained provides a comprehensive introduction to the subject suitable for adoption as a self-contained text for courses at undergraduate and postgraduate level. The clear and comprehensive presentation of the basic theory is illustrated throughout with an abundance of worked examples. The book is written for teachers and students of linear algebra at all levels and across mathematics and the applied sciences, particularly physics and engineering. It will also be an invaluable addition to research libraries as a comprehensive resource book for the subject.
Homomorphisms between C∗ -algebra extensions
Indian Academy of Sciences (India)
C∗. -algebra extensions, Ext groups do not classify extension algebras. So one has to study the isomorphism equivalence of extensions. In fact, a homomorphism between two extension algebras may not map the essential ideal into the other in general, so we have to consider properties of extension homomorphisms.
An algebra of reversible computation.
Wang, Yong
2016-01-01
We design an axiomatization for reversible computation called reversible ACP (RACP). It has four extendible modules: basic reversible processes algebra, algebra of reversible communicating processes, recursion and abstraction. Just like process algebra ACP in classical computing, RACP can be treated as an axiomatization foundation for reversible computation.
Process Algebra and Markov Chains
Brinksma, Hendrik; Hermanns, H.; Brinksma, Hendrik; Hermanns, H.; Katoen, Joost P.
This paper surveys and relates the basic concepts of process algebra and the modelling of continuous time Markov chains. It provides basic introductions to both fields, where we also study the Markov chains from an algebraic perspective, viz. that of Markov chain algebra. We then proceed to study
International Nuclear Information System (INIS)
Curtright, Thomas L.; Fairlie, David B.; Zachos, Cosmas K.
2008-01-01
A 3-bracket variant of the Virasoro-Witt algebra is constructed through the use of su(1,1) enveloping algebra techniques. The Leibniz rules for 3-brackets acting on other 3-brackets in the algebra are discussed and verified in various situations
Assessing Elementary Algebra with STACK
Sangwin, Christopher J.
2007-01-01
This paper concerns computer aided assessment (CAA) of mathematics in which a computer algebra system (CAS) is used to help assess students' responses to elementary algebra questions. Using a methodology of documentary analysis, we examine what is taught in elementary algebra. The STACK CAA system, http://www.stack.bham.ac.uk/, which uses the CAS…
US Agency for International Development — The Collecting Taxes Database contains performance and structural indicators about national tax systems. The database contains quantitative revenue performance...
From tax evasion to tax planning
Bourgain, Arnaud; Pieretti, Patrice; Zanaj, Skerdilajda
2013-01-01
The aim of this paper is to analyze within a simple model how a re- moval of bank secrecy can impact tax revenues and banks' profitability assuming that offshore centers are able to offer sophisticated but legal or not easily detectable tax planning. Two alternative regimes are considered. A first in which there is strict bank secrecy and a second where there is international information exchange for tax purposes. We show in particular that sharing tax information with onshore coun- tries can...
Commutative algebra with a view toward algebraic geometry
Eisenbud, David
1995-01-01
Commutative Algebra is best understood with knowledge of the geometric ideas that have played a great role in its formation, in short, with a view towards algebraic geometry. The author presents a comprehensive view of commutative algebra, from basics, such as localization and primary decomposition, through dimension theory, differentials, homological methods, free resolutions and duality, emphasizing the origins of the ideas and their connections with other parts of mathematics. Many exercises illustrate and sharpen the theory and extended exercises give the reader an active part in complementing the material presented in the text. One novel feature is a chapter devoted to a quick but thorough treatment of Grobner basis theory and the constructive methods in commutative algebra and algebraic geometry that flow from it. Applications of the theory and even suggestions for computer algebra projects are included. This book will appeal to readers from beginners to advanced students of commutative algebra or algeb...
Quantitative Algebraic Reasoning
DEFF Research Database (Denmark)
Mardare, Radu Iulian; Panangaden, Prakash; Plotkin, Gordon
2016-01-01
We develop a quantitative analogue of equational reasoning which we call quantitative algebra. We deﬁne an equality relation indexed by rationals: a =ε b which we think of as saying that “a is approximately equal to b up to an error of ε”. We have 4 interesting examples where we have a quantitative...
Fan, Yun; Zheng, Y L
2000-01-01
This volume is based on the lectures given by the authors at Wuhan University and Hubei University in courses on abstract algebra. It presents the fundamental concepts and basic properties of groups, rings, modules and fields, including the interplay between them and other mathematical branches and applied aspects.
Indian Academy of Sciences (India)
from India, I will describe mainly some work in four topics with which I am familiar: Moduli problem of vector bundles (and the related geometric invariant theory), the work of. CPRamanujam, Frobenius split varieties and algebraic .... One important series of works, by Seshadri in collaboration with V Lakshmibai, C Musili, and.
Indian Academy of Sciences (India)
To the Indian reader, the word discourse, evokes a respected figure interpreting divine wisdom to common folk in an accessible fash- ion. I dug a bit deeper with Google trans- late, and found that the original Russian ti- tle of Shafarevich's book was more like Se- lected Chapters of Algebra and that it was first published in a ...
Bergstra, J.A.; Middelburg, C.A.
2015-01-01
We add probabilistic features to basic thread algebra and its extensions with thread-service interaction and strategic interleaving. Here, threads represent the behaviours produced by instruction sequences under execution and services represent the behaviours exhibited by the components of execution
Gudder, Stan
2004-08-01
We define a special type of additive map J on an effect algebra E called a compression. We call J(1) the focus of J and if p is the focus of a compression then p is called a projection. The set of projections in E is denoted by P(E). A compression J is direct if J( a) ≤ a for all a ɛ E. We show that direct compressions are equivalent to projections onto components of cartesian products. An effect algebra E is said to be compressible if every compression on E is uniquely determined by its focus and every compression on E has a supplement. We define and characterize the commutant C(p) of a projection p and show that a compression with focus p is direct if and only if C(p) = E. We show that P(E) is an orthomodular poset. It is proved that the cartesian product of effect algebras is compressible if and only if each component is compressible. We then consider compressible sequential effect algebras, Lüders maps and conditional probabilities.
Thinking Visually about Algebra
Baroudi, Ziad
2015-01-01
Many introductions to algebra in high school begin with teaching students to generalise linear numerical patterns. This article argues that this approach needs to be changed so that students encounter variables in the context of modelling visual patterns so that the variables have a meaning. The article presents sample classroom activities,…
Algebraic Thinking through Origami.
Higginson, William; Colgan, Lynda
2001-01-01
Describes the use of paper folding to create a rich environment for discussing algebraic concepts. Explores the effect that changing the dimensions of two-dimensional objects has on the volume of related three-dimensional objects. (Contains 13 references.) (YDS)
Operator algebras and topology
International Nuclear Information System (INIS)
Schick, T.
2002-01-01
These notes, based on three lectures on operator algebras and topology at the 'School on High Dimensional Manifold Theory' at the ICTP in Trieste, introduce a new set of tools to high dimensional manifold theory, namely techniques coming from the theory of operator algebras, in particular C*-algebras. These are extensively studied in their own right. We will focus on the basic definitions and properties, and on their relevance to the geometry and topology of manifolds. A central pillar of work in the theory of C*-algebras is the Baum-Connes conjecture. This is an isomorphism conjecture, as discussed in the talks of Luck, but with a certain special flavor. Nevertheless, it has important direct applications to the topology of manifolds, it implies e.g. the Novikov conjecture. In the first chapter, the Baum-Connes conjecture will be explained and put into our context. Another application of the Baum-Connes conjecture is to the positive scalar curvature question. This will be discussed by Stephan Stolz. It implies the so-called 'stable Gromov-Lawson-Rosenberg conjecture'. The unstable version of this conjecture said that, given a closed spin manifold M, a certain obstruction, living in a certain (topological) K-theory group, vanishes if and only M admits a Riemannian metric with positive scalar curvature. It turns out that this is wrong, and counterexamples will be presented in the second chapter. The third chapter introduces another set of invariants, also using operator algebra techniques, namely L 2 -cohomology, L 2 -Betti numbers and other L 2 -invariants. These invariants, their basic properties, and the central questions about them, are introduced in the third chapter. (author)
Advanced modern algebra part 2
Rotman, Joseph J
2017-01-01
This book is the second part of the new edition of Advanced Modern Algebra (the first part published as Graduate Studies in Mathematics, Volume 165). Compared to the previous edition, the material has been significantly reorganized and many sections have been rewritten. The book presents many topics mentioned in the first part in greater depth and in more detail. The five chapters of the book are devoted to group theory, representation theory, homological algebra, categories, and commutative algebra, respectively. The book can be used as a text for a second abstract algebra graduate course, as a source of additional material to a first abstract algebra graduate course, or for self-study.
The SGML Standardization Framework and the Introduction of XML
Grütter, Rolf
2000-01-01
Extensible Markup Language (XML) is on its way to becoming a global standard for the representation, exchange, and presentation of information on the World Wide Web (WWW). More than that, XML is creating a standardization framework, in terms of an open network of meta-standards and mediators that allows for the definition of further conventions and agreements in specific business domains. Such an approach is particularly needed in the healthcare domain; XML promises to especially suit the particularities of patient records and their lifelong storage, retrieval, and exchange. At a time when change rather than steadiness is becoming the faithful feature of our society, standardization frameworks which support a diversified growth of specifications that are appropriate to the actual needs of the users are becoming more and more important; and efforts should be made to encourage this new attempt at standardization to grow in a fruitful direction. Thus, the introduction of XML reflects a standardization process which is neither exclusively based on an acknowledged standardization authority, nor a pure market standard. Instead, a consortium of companies, academic institutions, and public bodies has agreed on a common recommendation based on an existing standardization framework. The consortium's process of agreeing to a standardization framework will doubtlessly be successful in the case of XML, and it is suggested that it should be considered as a generic model for standardization processes in the future. PMID:11720931
The SGML standardization framework and the introduction of XML.
Fierz, W; Grütter, R
2000-01-01
Extensible Markup Language (XML) is on its way to becoming a global standard for the representation, exchange, and presentation of information on the World Wide Web (WWW). More than that, XML is creating a standardization framework, in terms of an open network of meta-standards and mediators that allows for the definition of further conventions and agreements in specific business domains. Such an approach is particularly needed in the healthcare domain; XML promises to especially suit the particularities of patient records and their lifelong storage, retrieval, and exchange. At a time when change rather than steadiness is becoming the faithful feature of our society, standardization frameworks which support a diversified growth of specifications that are appropriate to the actual needs of the users are becoming more and more important; and efforts should be made to encourage this new attempt at standardization to grow in a fruitful direction. Thus, the introduction of XML reflects a standardization process which is neither exclusively based on an acknowledged standardization authority, nor a pure market standard. Instead, a consortium of companies, academic institutions, and public bodies has agreed on a common recommendation based on an existing standardization framework. The consortium's process of agreeing to a standardization framework will doubtlessly be successful in the case of XML, and it is suggested that it should be considered as a generic model for standardization processes in the future.
On Dunkl angular momenta algebra
Energy Technology Data Exchange (ETDEWEB)
Feigin, Misha [School of Mathematics and Statistics, University of Glasgow,15 University Gardens, Glasgow G12 8QW (United Kingdom); Hakobyan, Tigran [Yerevan State University,1 Alex Manoogian, 0025 Yerevan (Armenia); Tomsk Polytechnic University,Lenin Ave. 30, 634050 Tomsk (Russian Federation)
2015-11-17
We consider the quantum angular momentum generators, deformed by means of the Dunkl operators. Together with the reflection operators they generate a subalgebra in the rational Cherednik algebra associated with a finite real reflection group. We find all the defining relations of the algebra, which appear to be quadratic, and we show that the algebra is of Poincaré-Birkhoff-Witt (PBW) type. We show that this algebra contains the angular part of the Calogero-Moser Hamiltonian and that together with constants it generates the centre of the algebra. We also consider the gl(N) version of the subalgebra of the rational Cherednik algebra and show that it is a non-homogeneous quadratic algebra of PBW type as well. In this case the central generator can be identified with the usual Calogero-Moser Hamiltonian associated with the Coxeter group in the harmonic confinement.
XML-BSPM: an XML format for storing Body Surface Potential Map recordings.
Bond, Raymond R; Finlay, Dewar D; Nugent, Chris D; Moore, George
2010-05-14
The Body Surface Potential Map (BSPM) is an electrocardiographic method, for recording and displaying the electrical activity of the heart, from a spatial perspective. The BSPM has been deemed more accurate for assessing certain cardiac pathologies when compared to the 12-lead ECG. Nevertheless, the 12-lead ECG remains the most popular ECG acquisition method for non-invasively assessing the electrical activity of the heart. Although data from the 12-lead ECG can be stored and shared using open formats such as SCP-ECG, no open formats currently exist for storing and sharing the BSPM. As a result, an innovative format for storing BSPM datasets has been developed within this study. The XML vocabulary was chosen for implementation, as opposed to binary for the purpose of human readability. There are currently no standards to dictate the number of electrodes and electrode positions for recording a BSPM. In fact, there are at least 11 different BSPM electrode configurations in use today. Therefore, in order to support these BSPM variants, the XML-BSPM format was made versatile. Hence, the format supports the storage of custom torso diagrams using SVG graphics. This diagram can then be used in a 2D coordinate system for retaining electrode positions. This XML-BSPM format has been successfully used to store the Kornreich-117 BSPM dataset and the Lux-192 BSPM dataset. The resulting file sizes were in the region of 277 kilobytes for each BSPM recording and can be deemed suitable for example, for use with any telemonitoring application. Moreover, there is potential for file sizes to be further reduced using basic compression algorithms, i.e. the deflate algorithm. Finally, these BSPM files have been parsed and visualised within a convenient time period using a web based BSPM viewer. This format, if widely adopted could promote BSPM interoperability, knowledge sharing and data mining. This work could also be used to provide conceptual solutions and inspire existing formats
Continuum analogues of contragredient Lie algebras
International Nuclear Information System (INIS)
Saveliev, M.V.; Vershik, A.M.
1989-03-01
We present an axiomatic formulation of a new class of infinite-dimensional Lie algebras - the generalizations of Z-graded Lie algebras with, generally speaking, an infinite-dimensional Cartan subalgebra and a contiguous set of roots. We call such algebras ''continuum Lie algebras''. The simple Lie algebras of constant growth are encapsulated in our formulation. We pay particular attention to the case when the local algebra is parametrized by a commutative algebra while the Cartan operator (the generalization of the Cartan matrix) is a linear operator. Special examples of these algebras are the Kac-Moody algebras, algebras of Poisson brackets, algebras of vector fields on a manifold, current algebras, and algebras with differential or integro-differential Cartan operator. The nonlinear dynamical systems associated with the continuum contragredient Lie algebras are also considered. (author). 9 refs
On HTML and XML based web design and implementation techniques
International Nuclear Information System (INIS)
Bezboruah, B.; Kalita, M.
2006-05-01
Web implementation is truly a multidisciplinary field with influences from programming, choosing of scripting languages, graphic design, user interface design, and database design. The challenge of a Web designer/implementer is his ability to create an attractive and informative Web. To work with the universal framework and link diagrams from the design process as well as the Web specifications and domain information, it is essential to create Hypertext Markup Language (HTML) or other software and multimedia to accomplish the Web's objective. In this article we will discuss Web design standards and the techniques involved in Web implementation based on HTML and Extensible Markup Language (XML). We will also discuss the advantages and disadvantages of HTML over its successor XML in designing and implementing a Web. We have developed two Web pages, one utilizing the features of HTML and the other based on the features of XML to carry out the present investigation. (author)
Overview of the INEX 2008 XML Mining Track
Denoyer, Ludovic; Gallinari, Patrick
We describe here the XML Mining Track at INEX 2008. This track was launched for exploring two main ideas: first identifying key problems for mining semi-structured documents and new challenges of this emerging field and second studying and assessing the potential of machine learning techniques for dealing with generic Machine Learning (ML) tasks in the structured domain i.e. classification and clustering of semi structured documents. This year, the track focuses on the supervised classification and the unsupervised clustering of XML documents using link information. We consider a corpus of about 100,000 Wikipedia pages with the associated hyperlinks. The participants have developed models using the content information, the internal structure information of the XML documents and also the link information between documents.
Generating XML schemas for DICOM structured reporting templates.
Zhao, Luyin; Lee, Kwok Pun; Hu, Jingkun
2005-01-01
In this paper, the authors describe a methodology to transform programmatically structured reporting (SR) templates defined by the Digital Imaging and Communications for Medicine (DICOM) standard into an XML schema representation. Such schemas can be used in the creation and validation of XML-encoded SR documents that use templates. Templates are a means to put additional constraints on an SR document to promote common formats for specific reporting applications or domains. As the use of templates becomes more widespread in the production of SR documents, it is important to ensure validity of such documents. The work described in this paper is an extension of the authors' previous work on XML schema representation for DICOM SR. Therefore, this paper inherits and partially modifies the structure defined in the earlier work.
Semantic reasoning with XML-based biomedical information models.
O'Connor, Martin J; Das, Amar
2010-01-01
The Extensible Markup Language (XML) is increasingly being used for biomedical data exchange. The parallel growth in the use of ontologies in biomedicine presents opportunities for combining the two technologies to leverage the semantic reasoning services provided by ontology-based tools. There are currently no standardized approaches for taking XML-encoded biomedical information models and representing and reasoning with them using ontologies. To address this shortcoming, we have developed a workflow and a suite of tools for transforming XML-based information models into domain ontologies encoded using OWL. In this study, we applied semantics reasoning methods to these ontologies to automatically generate domain-level inferences. We successfully used these methods to develop semantic reasoning methods for information models in the HIV and radiological image domains.
Design of XML-based plant data model
International Nuclear Information System (INIS)
Nair, Preetha M.; Padmini, S.; Gaur, Swati; Diwakar, M.P.
2013-01-01
XML has emerged as an open standard for exchanging structured data on various platforms to handle rich, nested, complex data structures. XML with its flexible tree-like data structure allows a more natural representation as compared to traditional databases. In this paper we present data model for plant data acquisition systems captured using XML technologies. Plant data acquisition systems in a typical Nuclear Power Plant consists of embedded nodes at the first tier and operator consoles at the second tier for operator operation, interaction and display of Plant parameters. This paper discusses a generic data model that was designed to capture process, network architecture, communication/interface protocol and diagnostics aspects required for a Nuclear Power Plant. (author)
Utilizing the Structure and Content Information for XML Document Clustering
Tran, Tien; Kutty, Sangeetha; Nayak, Richi
This paper reports on the experiments and results of a clustering approach used in the INEX 2008 document mining challenge. The clustering approach utilizes both the structure and content information of the Wikipedia XML document collection. A latent semantic kernel (LSK) is used to measure the semantic similarity between XML documents based on their content features. The construction of a latent semantic kernel involves the computing of singular vector decomposition (SVD). On a large feature space matrix, the computation of SVD is very expensive in terms of time and memory requirements. Thus in this clustering approach, the dimension of the document space of a term-document matrix is reduced before performing SVD. The document space reduction is based on the common structural information of the Wikipedia XML document collection. The proposed clustering approach has shown to be effective on the Wikipedia collection in the INEX 2008 document mining challenge.
Development Life Cycle and Tools for XML Content Models
Energy Technology Data Exchange (ETDEWEB)
Kulvatunyou, Boonserm [ORNL; Morris, Katherine [National Institute of Standards and Technology (NIST); Buhwan, Jeong [POSTECH University, South Korea; Goyal, Puja [National Institute of Standards and Technology (NIST)
2004-11-01
Many integration projects today rely on shared semantic models based on standards represented using Extensible Mark up Language (XML) technologies. Shared semantic models typically evolve and require maintenance. In addition, to promote interoperability and reduce integration costs, the shared semantics should be reused as much as possible. Semantic components must be consistent and valid in terms of agreed upon standards and guidelines. In this paper, we describe an activity model for creation, use, and maintenance of a shared semantic model that is coherent and supports efficient enterprise integration. We then use this activity model to frame our research and the development of tools to support those activities. We provide overviews of these tools primarily in the context of the W3C XML Schema. At the present, we focus our work on the W3C XML Schema as the representation of choice, due to its extensive adoption by industry.
Dynamic Tax Depreciation Strategies
De Waegenaere, A.M.B.; Wielhouwer, J.L.
2008-01-01
The tax depreciation decision potentially has significant impact on the prof- itability of firms and projects. Indeed, the depreciation method chosen for tax purposes affects the timing of tax payments, and, as a consequence, it also affects the after-tax net present value of investment projects.
Dynamic tax depreciation strategies
De Waegenaere, A.M.B.; Wielhouwer, J.L.
2011-01-01
The tax depreciation decision potentially has significant impact on the profitability of firms and projects. Indeed, the depreciation method chosen for tax purposes affects the timing of tax payments, and, as a consequence, it also affects the after-tax net present value of investment projects.
Congressional Budget Office
2013-01-01
In 1975, the first refundable tax credit—the earned income tax credit (EITC)—took effect. Since then, the number and cost of refundable tax credits—credits that can result in net payments from the government—have grown considerably. Those credits will cost $149 billion in 2013, CBO estimates, mostly for the EITC and the child tax credit.
Terra, B.J.M.; Wattel, P.J.
2008-01-01
This book is intended as a reference book for tax law and EC law pratitioners, tax administrators, academics, the judiciary and tax or Community law policy makers. For students, an abridged student edition textbook is available. The book offers a systematic survey of the tax implications of the EC
Tax Overpayments, Tax Evasion, and Book-Tax Differences
Laszlo Goerke
2008-01-01
A strictly risk-averse manager makes joint decisions on a firm's tax payments and book profit declarations according to accounting standards. It is analysed how the incentives to overpay or evade taxes and to inflate book profits are influenced by (1) the composition of the manager's remuneration, (2) the ability to control the manager's actions, (3) the costs of making untruthful profit declarations, and (4) the tax rate. If the firm's owner or the government takes into account these effects...
Free Malcev algebra of rank three
Kornev, Alexandr
2011-01-01
We find a basis of the free Malcev algebra on three free generators over a field of characteristic zero. The specialty and semiprimity of this algebra are proved. In addition, we prove the decomposability of this algebra into subdirect sum of the free Lie algebra rank three and the free algebra of rank three of variety of Malcev algebras generated by a simple seven-dimensional Malcev algebra.
DEFF Research Database (Denmark)
Gjedsted Nielsen, Mads
of only 31%. We use 2007 municipal reform in Denmark in which 256 municipalities changed tax rates, as an exogenous shock to taxes. The exogeneity of the shock to taxes and the size of the data set is an improvement over earlier studies. Our findings significantly downward adjust the degree of tax......This paper is the first to consider a large scale natural experiment to estimate the effect of taxes on house prices. We find that a 1 percentage-point increase in income tax rates lead to a drop in house prices of at most 2.2%. This corresponds to a tax capitalization for the average household...... capitalization from earlier studies. Furthermore, we find no effect of property taxes on house prices. We attribute this to the low levels of Danish municipal property tax rates compared to income tax rates....
XML in an Adaptive Framework for Instrument Control
Ames, Troy J.
2004-01-01
NASA Goddard Space Flight Center is developing an extensible framework for instrument command and control, known as Instrument Remote Control (IRC), that combines the platform independent processing capabilities of Java with the power of the Extensible Markup Language (XML). A key aspect of the architecture is software that is driven by an instrument description, written using the Instrument Markup Language (IML). IML is an XML dialect used to describe interfaces to control and monitor the instrument, command sets and command formats, data streams, communication mechanisms, and data processing algorithms.
Bochnak, Jacek; Roy, Marie-Françoise
1998-01-01
This book is a systematic treatment of real algebraic geometry, a subject that has strong interrelation with other areas of mathematics: singularity theory, differential topology, quadratic forms, commutative algebra, model theory, complexity theory etc. The careful and clearly written account covers both basic concepts and up-to-date research topics. It may be used as text for a graduate course. The present edition is a substantially revised and expanded English version of the book "Géometrie algébrique réelle" originally published in French, in 1987, as Volume 12 of ERGEBNISSE. Since the publication of the French version the theory has made advances in several directions. Many of these are included in this English version. Thus the English book may be regarded as a completely new treatment of the subject.
Jacobson-Witt algebras and Lie-admissible algebras
International Nuclear Information System (INIS)
Tomber, M.L.
1981-01-01
For any field PHI of characteristics p > 0 and integer m greater than or equal to 1, there is a Jacobson-Witt algebra which is a Lie algebra. In this paper, all flexible Lie-admissible algebras U, such that U - is a Jacobson-Witt algebra W/sub m/(p), are determined. For any W/sub m/(p), p > 2 there is exactly one such U and it is isomorphic to W/sub m/(p). There are two non-isomorphic algebras U such that U - is isomorphic to W 1 (2), and there are no algebras U with U - isomorphic to W/sub m/(2), m > 1
Algebras of Information States
Czech Academy of Sciences Publication Activity Database
Punčochář, Vít
2017-01-01
Roč. 27, č. 5 (2017), s. 1643-1675 ISSN 0955-792X R&D Projects: GA ČR(CZ) GC16-07954J Institutional support: RVO:67985955 Keywords : information states * relational semantics * algebraic semantics * intuitionistic logic * inquisitive disjunction Subject RIV: AA - Philosophy ; Religion OBOR OECD: Philosophy, History and Philosophy of science and technology Impact factor: 0.909, year: 2016
Algebra, Arithmetic, and Geometry
Tschinkel, Yuri
2009-01-01
The two volumes of "Algebra, Arithmetic, and Geometry: In Honor of Y.I. Manin" are composed of invited expository articles and extensions detailing Manin's contributions to the subjects, and are in celebration of his 70th birthday. The well-respected and distinguished contributors include: Behrend, Berkovich, Bost, Bressler, Calaque, Carlson, Chambert-Loir, Colombo, Connes, Consani, Dabrowski, Deninger, Dolgachev, Donaldson, Ekedahl, Elsenhans, Enriques, Etingof, Fock, Friedlander, Geemen, Getzler, Goncharov, Harris, Iskovskikh, Jahnel, Kaledin, Kapranov, Katz, Kaufmann, Kollar, Kont
Indian Academy of Sciences (India)
project of the Spanish Ministerio de Educación y Ciencia MTM2007-60333. References. [1] Calderón A J, On split Lie algebras with symmetric root systems, Proc. Indian. Acad. Sci (Math. Sci.) 118(2008) 351–356. [2] Calderón A J, On split Lie triple systems, Proc. Indian. Acad. Sci (Math. Sci.) 119(2009). 165–177.
Fundamentals of linear algebra
Dash, Rajani Ballav
2008-01-01
FUNDAMENTALS OF LINEAR ALGEBRA is a comprehensive Text Book, which can be used by students and teachers of All Indian Universities. The Text has easy, understandable form and covers all topics of UGC Curriculum. There are lots of worked out examples which helps the students in solving the problems without anybody's help. The Problem sets have been designed keeping in view of the questions asked in different examinations.
International Nuclear Information System (INIS)
Todorov, Ivan
2010-12-01
Expository notes on Clifford algebras and spinors with a detailed discussion of Majorana, Weyl, and Dirac spinors. The paper is meant as a review of background material, needed, in particular, in now fashionable theoretical speculations on neutrino masses. It has a more mathematical flavour than the over twenty-six-year-old Introduction to Majorana masses [M84] and includes historical notes and biographical data on past participants in the story. (author)
Lutfiyya, Lutfi A
2012-01-01
REA's Essentials provide quick and easy access to critical information in a variety of different fields, ranging from the most basic to the most advanced. As its name implies, these concise, comprehensive study guides summarize the essentials of the field covered. Essentials are helpful when preparing for exams, doing homework and will remain a lasting reference source for students, teachers, and professionals. Modern Algebra includes set theory, operations, relations, basic properties of the integers, group theory, and ring theory.
Algebra & trigonometry II essentials
REA, Editors of
2012-01-01
REA's Essentials provide quick and easy access to critical information in a variety of different fields, ranging from the most basic to the most advanced. As its name implies, these concise, comprehensive study guides summarize the essentials of the field covered. Essentials are helpful when preparing for exams, doing homework and will remain a lasting reference source for students, teachers, and professionals. Algebra & Trigonometry II includes logarithms, sequences and series, permutations, combinations and probability, vectors, matrices, determinants and systems of equations, mathematica
Directory of Open Access Journals (Sweden)
Cavia Soto MAngeles
2008-01-01
Full Text Available Abstract Trends in control and automation show an increase in data processing and communication in embedded automation controllers. The eXtensible Markup Language (XML is emerging as a dominant data syntax, fostering interoperability, yet little is still known about how to provide predictable real-time performance in XML processing, as required in the domain of industrial automation. This paper presents an XML processor that is designed with such real-time performance in mind. The publication attempts to disclose insight gained in applying techniques such as object pooling and reuse, and other methods targeted at avoiding dynamic memory allocation and its consequent memory fragmentation. Benchmarking tests are reported in order to illustrate the benefits of the approach.
Blyth, T S
2002-01-01
Most of the introductory courses on linear algebra develop the basic theory of finite dimensional vector spaces, and in so doing relate the notion of a linear mapping to that of a matrix. Generally speaking, such courses culminate in the diagonalisation of certain matrices and the application of this process to various situations. Such is the case, for example, in our previous SUMS volume Basic Linear Algebra. The present text is a continuation of that volume, and has the objective of introducing the reader to more advanced properties of vector spaces and linear mappings, and consequently of matrices. For readers who are not familiar with the contents of Basic Linear Algebra we provide an introductory chapter that consists of a compact summary of the prerequisites for the present volume. In order to consolidate the student's understanding we have included a large num ber of illustrative and worked examples, as well as many exercises that are strategi cally placed throughout the text. Solutions to the ex...
Tax penalties in SME tax compliance
Directory of Open Access Journals (Sweden)
Artur Swistak
2016-03-01
Full Text Available Small business tax compliance requires special attention. On the one hand small businesses are often incapable of rigorously fulfilling their tax obligations, more vulnerable to external risks and tempted to exploit opportunities to be non-compliant. On the other hand, unlike larger businesses, they are usually sole proprietors or owner-operated businesses, hence highly responsive to personal, social, cognitive and emotional factors. These attributes pave the way to a better use of measures designed to influence their behavior and choices. This paper discusses the role and effectiveness of tax penalties in enhancing tax compliance in small businesses. It argues that tax penalties, although indispensable for tax enforcement, may not be a first-choice tool in ensuring tax compliance. Too punitive a tax regime is an important barrier to business formalization and increasing severity of tax penalties does not produce the intended results. To be effective, tax penalties should deter and motivate taxpayers rather than exert repressive measures against them.
2013-05-16
...] Revisions to Electric Quarterly Report Filing Process; Availability of Draft XML Schema AGENCY: Federal... Language (XML) needed to make Electric Quarterly Report (EQR) filings with one of the new filing processes... the SUPPLEMENTARY INFORMATION Section below for details. DATES: The XML is now available at the links...
Mitri, Michel
2012-01-01
XML has become the most ubiquitous format for exchange of data between applications running on the Internet. Most Web Services provide their information to clients in the form of XML. The ability to process complex XML documents in order to extract relevant information is becoming as important a skill for IS students to master as querying…
2012-08-07
...] Revisions to Electric Quarterly Report Filing Process; Availability of Draft XML Schema AGENCY: Federal... Regulatory Commission is making available on its Web site ( http://www.ferc.gov ) a draft of the XML schema... Supplementary Information Section below for details. DATES: The draft XML Schema is now available at the links...
Compactly Generated de Morgan Lattices, Basic Algebras and Effect Algebras
Paseka, Jan; Riečanová, Zdenka
2010-12-01
We prove that a de Morgan lattice is compactly generated if and only if its order topology is compatible with a uniformity on L generated by some separating function family on L. Moreover, if L is complete then L is (o)-topological. Further, if a basic algebra L (hence lattice with sectional antitone involutions) is compactly generated then L is atomic. Thus all non-atomic Boolean algebras as well as non-atomic lattice effect algebras (including non-atomic MV-algebras and orthomodular lattices) are not compactly generated.
Krňávek, Jan; Kühr, Jan
2011-12-01
Basic algebras are a generalization of MV-algebras, also including orthomodular lattices and lattice effect algebras. A pre-ideal of a basic algebra is a non-empty subset that is closed under the addition ⊕ and downwards closed with respect to the underlying order. In this paper, we study the pre-ideal lattices of algebras in a particular subclass of basic algebras which are closer to MV-algebras than basic algebras in general. We also prove that finite members of this subclass are exactly finite MV-algebras.
Assessing Algebraic Solving Ability: A Theoretical Framework
Lian, Lim Hooi; Yew, Wun Thiam
2012-01-01
Algebraic solving ability had been discussed by many educators and researchers. There exists no definite definition for algebraic solving ability as it can be viewed from different perspectives. In this paper, the nature of algebraic solving ability in terms of algebraic processes that demonstrate the ability in solving algebraic problem is…
Associative and Lie deformations of Poisson algebras
Remm, Elisabeth
2011-01-01
Considering a Poisson algebra as a non associative algebra satisfying the Markl-Remm identity, we study deformations of Poisson algebras as deformations of this non associative algebra. This gives a natural interpretation of deformations which preserves the underlying associative structure and we study deformations which preserve the underlying Lie algebra.
Einstein algebras and general relativity
International Nuclear Information System (INIS)
Heller, M.
1992-01-01
A purely algebraic structure called an Einstein algebra is defined in such a way that every spacetime satisfying Einstein's equations is an Einstein algebra but not vice versa. The Gelfand representation of Einstein algebras is defined, and two of its subrepresentations are discussed. One of them is equivalent to the global formulation of the standard theory of general relativity; the other one leads to a more general theory of gravitation which, in particular, includes so-called regular singularities. In order to include other types of singularities one must change to sheaves of Einstein algebras. They are defined and briefly discussed. As a test of the proposed method, the sheaf of Einstein algebras corresponding to the space-time of a straight cosmic string with quasiregular singularity is constructed. 22 refs
Fusion rules of chiral algebras
International Nuclear Information System (INIS)
Gaberdiel, M.
1994-01-01
Recently we showed that for the case of the WZW and the minimal models fusion can be understood as a certain ring-like tensor product of the symmetry algebra. In this paper we generalize this analysis to arbitrary chiral algebras. We define the tensor product of conformal field theory in the general case and prove that it is associative and symmetric up to equivalence. We also determine explicitly the action of the chiral algebra on this tensor product. In the second part of the paper we demonstrate that this framework provides a powerful tool for calculating restrictions for the fusion rules of chiral algebras. We exhibit this for the case of the W 3 algebra and the N=1 and N=2 NS superconformal algebras. (orig.)
DEFF Research Database (Denmark)
Pedersen, Anders Branth; Nielsen, Helle Ørsted; Andersen, Mikael Skou
2015-01-01
This case study analyses the effects of the Danish pesticide tax (1996-2013) on agriculture which was introduced as an ad valorem tax in 1996, doubled in 1998, and redesigned in 2013 as a tax based on the toxicity of the pesticides. The Danish pesticide taxes probably represent the world’s highest...... pesticide taxes on agriculture, which makes it interesting to analyze how effective they have been. Here the effects of the ad valorem tax (1996-2013) are analyzed. The case study demonstrates the challenges of choosing an optimal tax design in a complex political setting where, additionally, not all...... individuals in the target group necessarily react to the economic incentives as predicted by economic modeling. It also demonstrates that a small first green-tax-step over time might develop into a better tax design....
Ling, Lai Ming; Nawawi, Nurul Hidayah Ahamad
2010-01-01
Purpose: This study aims to examine the ICT skills needed by a fresh accounting graduate when first joining a tax firm; to find out usage of electronic tax (e-tax) applications in tax practice; to assess the rating of senior tax practitioners on fresh graduates' ICT and e-tax applications skills; and to solicit tax practitioners' opinion regarding…
Categorical Algebra and its Applications
1988-01-01
Categorical algebra and its applications contain several fundamental papers on general category theory, by the top specialists in the field, and many interesting papers on the applications of category theory in functional analysis, algebraic topology, algebraic geometry, general topology, ring theory, cohomology, differential geometry, group theory, mathematical logic and computer sciences. The volume contains 28 carefully selected and refereed papers, out of 96 talks delivered, and illustrates the usefulness of category theory today as a powerful tool of investigation in many other areas.
Tax Morality and Progressive Wage Tax
Andras Simonovits
2010-01-01
We analyze the impact of tax morality on progressive income (wage) taxation. We assume that transfers (cash-back) and public expenditures are financed from linear wage taxes. We derive the reported wages from individual utility maximization, when individuals obtain partial satisfaction from reporting wages (depending on their tax morality), and cannot be excluded from the use of public services. The government maximizes a utilitarian social welfare function, also taking into account the utili...
An XML description of detector geometries for GEANT4
International Nuclear Information System (INIS)
Figgins, J.; Walker, B.; Comfort, J.R.
2006-01-01
A code has been developed that enables the geometry of detectors to be specified easily and flexibly in the XML language, for use in the Monte Carlo program GEANT4. The user can provide clear documentation of the geometry without being proficient in the C++ language of GEANT4. The features and some applications are discussed
Personalization of XML Content Browsing Based on User Preferences
Encelle, Benoit; Baptiste-Jessel, Nadine; Sedes, Florence
2009-01-01
Personalization of user interfaces for browsing content is a key concept to ensure content accessibility. In this direction, we introduce concepts that result in the generation of personalized multimodal user interfaces for browsing XML content. User requirements concerning the browsing of a specific content type can be specified by means of…
A Database Approach to Content-based XML retrieval
Hiemstra, Djoerd
2003-01-01
This paper describes a rst prototype system for content-based retrieval from XML data. The system's design supports both XPath queries and complex information retrieval queries based on a language modelling approach to information retrieval. Evaluation using the INEX benchmark shows that it is
XML-based analysis interface for particle physics data analysis
International Nuclear Information System (INIS)
Hu Jifeng; Lu Xiaorui; Zhang Yangheng
2011-01-01
The letter emphasizes on an XML-based interface and its framework for particle physics data analysis. The interface uses a concise XML syntax to describe, in data analysis, the basic tasks: event-selection, kinematic fitting, particle identification, etc. and a basic processing logic: the next step goes on if and only if this step succeeds. The framework can perform an analysis without compiling by loading the XML-interface file, setting p in run-time and running dynamically. An analysis coding in XML instead of C++, easy-to-understood arid use, effectively reduces the work load, and enables users to carry out their analyses quickly. The framework has been developed on the BESⅢ offline software system (BOSS) with the object-oriented C++ programming. These functions, required by the regular tasks and the basic processing logic, are implemented with both standard modules or inherited from the modules in BOSS. The interface and its framework have been tested to perform physics analysis. (authors)
An XML-based communication protocol for accelerator distributed controls
International Nuclear Information System (INIS)
Catani, L.
2008-01-01
This paper presents the development of XMLvRPC, an RPC-like communication protocol based, for this particular application, on the TCP/IP and XML (eXtensible Markup Language) tools built-in in LabVIEW. XML is used to format commands and data passed between client and server while socket interface for communication uses either TCP or UDP transmission protocols. This implementation extends the features of these general purpose libraries and incorporates solutions that might provide, with limited modifications, full compatibility with well established and more general communication protocol, i.e. XML-RPC, while preserving portability to different platforms supported by LabVIEW. The XMLvRPC suite of software has been equipped with specific tools for its deployment in distributed control systems as, for instance, a quasi-automatic configuration and registration of the distributed components and a simple plug-and-play approach to the installation of new services. Key feature is the management of large binary arrays that allow coding of large binary data set, e.g. raw images, more efficiently with respect to the standard XML coding
X3-Miner: Mining Patterns from XML Database
Tan, H.; Dillon, T.; Feng, L.; Chang, E.; Hadzic, F.
2005-01-01
An XML enabled framework for the representation of association rules in databases was first presented in [4]. In Frequent Structure Mining (FSM), one of the popular approaches is to use graph matching that use data structures such as the adjacency matrix [7] or adjacency list [8]. Another approach
IMPROVING THE VIRTUAL LEARNING DEVELOPMENT PROCESSES USING XML STANDARDS
Directory of Open Access Journals (Sweden)
Kurt Suss
2002-06-01
Full Text Available Distributed Icarning environments and content often lack a common basis for the cxchange of learning materials. This delays, or even hinders, both innovation and delivery of learning tecnology. Standards for platforms and authoring may provide a way to improve interoperability and cooperative development. This article provides an XML-based approach to this problem creaied by the IMS Global Learning Consortium.
PFTijah: text search in an XML database system
Hiemstra, Djoerd; Rode, H.; van Os, R.; Flokstra, Jan
2006-01-01
This paper introduces the PFTijah system, a text search system that is integrated with an XML/XQuery database management system. We present examples of its use, we explain some of the system internals, and discuss plans for future work. PFTijah is part of the open source release of MonetDB/XQuery.
"Lost chains" in algebraic models
Fortunato, L.; de Graaf, W. A.
2011-03-01
The algebraic structure of some of the simplest algebraic models u(2), u(3) and u(4), widely used in several branches of physics either as toy models or as working instruments, are reanalyzed under a new perspective that releases the requirement that chains should terminate or pass through the angular momentum algebra. Unitary algebras are non-semisimple, therefore we first apply the Levi-Malcev decomposition. Then we use the theory of weighted Dynkin diagrams to identify conjugacy classes of A1 ~ su(2) ~ so(3) subalgebras: a complete classification of new angular momentum non conserving (AMNC) dynamical symmetries follows that we substantiate with examples.
Applications of Computer Algebra Conference
Martínez-Moro, Edgar
2017-01-01
The Applications of Computer Algebra (ACA) conference covers a wide range of topics from Coding Theory to Differential Algebra to Quantam Computing, focusing on the interactions of these and other areas with the discipline of Computer Algebra. This volume provides the latest developments in the field as well as its applications in various domains, including communications, modelling, and theoretical physics. The book will appeal to researchers and professors of computer algebra, applied mathematics, and computer science, as well as to engineers and computer scientists engaged in research and development.
Introduction to algebraic independence theory
Philippon, Patrice
2001-01-01
In the last five years there has been very significant progress in the development of transcendence theory. A new approach to the arithmetic properties of values of modular forms and theta-functions was found. The solution of the Mahler-Manin problem on values of modular function j(tau) and algebraic independence of numbers pi and e^(pi) are most impressive results of this breakthrough. The book presents these and other results on algebraic independence of numbers and further, a detailed exposition of methods created in last the 25 years, during which commutative algebra and algebraic geometry exerted strong catalytic influence on the development of the subject.
Chiral algebras for trinion theories
International Nuclear Information System (INIS)
Lemos, Madalena; Peelaers, Wolfger
2015-01-01
It was recently understood that one can identify a chiral algebra in any four-dimensional N=2 superconformal theory. In this note, we conjecture the full set of generators of the chiral algebras associated with the T n theories. The conjecture is motivated by making manifest the critical affine module structure in the graded partition function of the chiral algebras, which is computed by the Schur limit of the superconformal index for T n theories. We also explicitly construct the chiral algebra arising from the T 4 theory. Its null relations give rise to new T 4 Higgs branch chiral ring relations.
Computational aspects of algebraic curves
Shaska, Tanush
2005-01-01
The development of new computational techniques and better computing power has made it possible to attack some classical problems of algebraic geometry. The main goal of this book is to highlight such computational techniques related to algebraic curves. The area of research in algebraic curves is receiving more interest not only from the mathematics community, but also from engineers and computer scientists, because of the importance of algebraic curves in applications including cryptography, coding theory, error-correcting codes, digital imaging, computer vision, and many more.This book cove
Web-based infectious disease reporting using XML forms.
Liu, Danhong; Wang, Xia; Pan, Feng; Xu, Yongyong; Yang, Peng; Rao, Keqin
2008-09-01
Exploring solutions for infectious disease information sharing among hospital and public health information systems is imperative to the improvement of disease surveillance and emergent response. This paper aimed at developing a method to directly transmit real-time data of notifiable infectious diseases from hospital information systems to public health information systems on the Internet by using a standard eXtensible Markup Language (XML) format. The mechanism and work flow by which notifiable infectious disease data are created, reported and used at health agencies in China was evaluated. The capacity of all participating providers to use electronic data interchange to submit transactions of data required for the notifiable infectious disease reporting was assessed. The minimum data set at national level that is required for reporting for national notifiable infectious disease surveillance was determined. The standards and techniques available worldwide for electronic health data interchange, such as XML, HL7 messaging, CDA and ATSM CCR, etc. were reviewed and compared, and an XML implementation format needed for this purpose was defined for hospitals that are able to access the Internet to provide a complete infectious disease reporting. There are 18,703 county or city hospitals in China. All of them have access to basic information infrastructures including computers, e-mail and the Internet. Nearly 10,000 hospitals possess hospital information systems used for electronically recording, retrieving and manipulating patients' information. These systems collect 23 data items required in the minimum data set for national notifiable infectious disease reporting. In order to transmit these data items to the disease surveillance system and local health information systems instantly and without duplication of data input, an XML schema and a set of standard data elements were developed to define the content, structure and semantics of the data set. These standards
XML-kieliperhe tietokannan hallintajärjestelmien näkökulmasta
Imeläinen, Jani
2006-01-01
Tutkielmassa tarkastellaan XML-kieliperheen määrityksiä tietokannan hallintajärjestelmien näkökulmasta. Tutkielmassa verrataan XML-määrityksiä tietokannan hallintajärjestelmien peruskäsitteistöön ja esitellään näin rajaten olennaisimmat XML-määritykset. Päätavoitteena on selvittää XML-kieliperheen määritysten merkitys ja rooli XML-dokumenttien käsittelyssä tietokannan hallintajärjestelmissä. Tutkielman keskeinen tulos on viitekehys, jossa havainnollistetaan tietokannan halli...
Java facilities in processing XML files - JAXB and generating PDF reports
Directory of Open Access Journals (Sweden)
Danut-Octavian SIMION
2008-01-01
Full Text Available The paper presents the Java programming language facilities in working with XML files using JAXB (The Java Architecture for XML Binding technology and generating PDF reports from XML files using Java objects. The XML file can be an existing one and could contain the data about an entity (Clients for example or it might be the result of a SELECT-SQL statement. JAXB generates JAVA classes through xs rules and a Marshalling, Unmarshalling compiler. The PDF file is build from a XML file and uses XSL-FO formatting file and a Java ResultSet object.
Progress on an implementation of MIFlowCyt in XML
Leif, Robert C.; Leif, Stephanie H.
2015-03-01
Introduction: The International Society for Advancement of Cytometry (ISAC) Data Standards Task Force (DSTF) has created a standard for the Minimum Information about a Flow Cytometry Experiment (MIFlowCyt 1.0). The CytometryML schemas, are based in part upon the Flow Cytometry Standard and Digital Imaging and Communication (DICOM) standards. CytometryML has and will be extended and adapted to include MIFlowCyt, as well as to serve as a common standard for flow and image cytometry (digital microscopy). Methods: The MIFlowCyt data-types were created, as is the rest of CytometryML, in the XML Schema Definition Language (XSD1.1). Individual major elements of the MIFlowCyt schema were translated into XML and filled with reasonable data. A small section of the code was formatted with HTML formatting elements. Results: The differences in the amount of detail to be recorded for 1) users of standard techniques including data analysts and 2) others, such as method and device creators, laboratory and other managers, engineers, and regulatory specialists required that separate data-types be created to describe the instrument configuration and components. A very substantial part of the MIFlowCyt element that describes the Experimental Overview part of the MIFlowCyt and substantial parts of several other major elements have been developed. Conclusions: The future use of structured XML tags and web technology should facilitate searching of experimental information, its presentation, and inclusion in structured research, clinical, and regulatory documents, as well as demonstrate in publications adherence to the MIFlowCyt standard. The use of CytometryML together with XML technology should also result in the textual and numeric data being published using web technology without any change in composition. Preliminary testing indicates that CytometryML XML pages can be directly formatted with the combination of HTML and CSS.
The planar algebra of a semisimple and cosemisimple Hopf algebra
Indian Academy of Sciences (India)
M. Senthilkumar (Newgen Imaging) 1461 1996 Oct 15 13:05:22
[TngGlk] Etingof Pavel and Gelaki Shlomo, On finite-dimensional semisimple and cosemisimple Hopf algebras in positive characteristic. Int. Math. Res. Notices,. 16 (1998) 851–864. [DasKdy] Das Paramita and Vijay Kodiyalam, Planar algebras and the Ocneanu–. Szymanski theorem, Proc. AMS, 133 (2005) 2751–2759.
Galois Theory of Differential Equations, Algebraic Groups and Lie Algebras
Put, Marius van der
1999-01-01
The Galois theory of linear differential equations is presented, including full proofs. The connection with algebraic groups and their Lie algebras is given. As an application the inverse problem of differential Galois theory is discussed. There are many exercises in the text.
Dynamical entropy of C* algebras and Von Neumann algebras
International Nuclear Information System (INIS)
Connes, A.; Narnhofer, H.; Thirring, W.
1986-01-01
The definition of the dynamical entropy is extended for automorphism groups of C * algebras. As example the dynamical entropy of the shift of a lattice algebra is studied and it is shown that in some cases it coincides with the entropy density. (Author)
Algebraic K-theory of generalized schemes
DEFF Research Database (Denmark)
Anevski, Stella Victoria Desiree
Nikolai Durov has developed a generalization of conventional scheme theory in which commutative algebraic monads replace commutative unital rings as the basic algebraic objects. The resulting geometry is expressive enough to encompass conventional scheme theory, tropical algebraic geometry and ge...
Quantum deformation of the affine transformation algebra
International Nuclear Information System (INIS)
Aizawa, N.; Sato, Haru-Tada
1994-01-01
We discuss a quantum deformation of the affine transformation algebra in one-dimensional space. It is shown that the quantum algebra has a non-cocommutative Hopf algebra structure, simple realizations and quantum tensor operators. (orig.)
Algebraic K-theory of generalized schemes
DEFF Research Database (Denmark)
Anevski, Stella Victoria Desiree
Nikolai Durov has developed a generalization of conventional scheme theory in which commutative algebraic monads replace commutative unital rings as the basic algebraic objects. The resulting geometry is expressive enough to encompass conventional scheme theory, tropical algebraic geometry...
Does More Progressive Tax Make Tax Discipline Weaker?
Tatiana Damjanovic
2005-01-01
This paper investigates the relationship between the disparity in tax base and tax collection. I address the tax collection problem with traditional industrial organization approach. Thus, I model the "tax minimization" industry where the supplier helps taxpayers to avoid their tax liability. I find that lower income inequality as well as a less progressive tax code may result in a smaller number of tax payers committing to their tax duties. Finally, I question the reduction in the highest ta...
Lopez, Cesar
2014-01-01
MATLAB is a high-level language and environment for numerical computation, visualization, and programming. Using MATLAB, you can analyze data, develop algorithms, and create models and applications. The language, tools, and built-in math functions enable you to explore multiple approaches and reach a solution faster than with spreadsheets or traditional programming languages, such as C/C++ or Java. MATLAB Linear Algebra introduces you to the MATLAB language with practical hands-on instructions and results, allowing you to quickly achieve your goals. In addition to giving an introduction to
Corrochano, Eduardo Bayro
2010-01-01
This book presents contributions from a global selection of experts in the field. This useful text offers new insights and solutions for the development of theorems, algorithms and advanced methods for real-time applications across a range of disciplines. Written in an accessible style, the discussion of all applications is enhanced by the inclusion of numerous examples, figures and experimental analysis. Features: provides a thorough discussion of several tasks for image processing, pattern recognition, computer vision, robotics and computer graphics using the geometric algebra framework; int
Algebraic topology and concurrency
DEFF Research Database (Denmark)
Fajstrup, Lisbeth; Raussen, Martin; Goubault, Eric
2006-01-01
We show in this article that some concepts from homotopy theory, in algebraic topology,are relevant for studying concurrent programs. We exhibit a natural semantics of semaphore programs, based on partially ordered topological spaces, which are studied up to “elastic deformation” or homotopy...... differences between ordinary and directed homotopy through examples. We also relate the topological view to a combinatorial view of concurrent programs closer to transition systems, through the notion of a cubical set. Finally we apply some of these concepts to the proof of the safeness of a two...
Hazewinkel, M
2008-01-01
Algebra, as we know it today, consists of many different ideas, concepts and results. A reasonable estimate of the number of these different items would be somewhere between 50,000 and 200,000. Many of these have been named and many more could (and perhaps should) have a name or a convenient designation. Even the nonspecialist is likely to encounter most of these, either somewhere in the literature, disguised as a definition or a theorem or to hear about them and feel the need for more information. If this happens, one should be able to find enough information in this Handbook to judge if it i
International Nuclear Information System (INIS)
Liu, G X; Hong, X B; Liu, J G
2006-01-01
This paper presents the IP mode intelligent measuring and controlling system (IMIMCS). Based on object-oriented modeling technology of UML and XML Schema, the innovative methods and technologies of some key problems for XML data modeling in the IMIMCS were especially discussed, including refinement for systemic business by means of use-case diagram of UML, the confirmation of the content of XML data model and logic relationship of the objects of XML Schema with the aid of class diagram of UML, the mapping rules from the UML object model to XML Schema. Finally, the application of the IMIMCS based on XML for a modern greenhouse was presented. The results show that the modeling methods of the measuring and controlling data in the IMIMCS involving the multi-layer structure and many operating systems process strong reliability and flexibility, guarantee uniformity of complex XML documents and meet the requirement of data communication across platform
New examples of continuum graded Lie algebras
International Nuclear Information System (INIS)
Savel'ev, M.V.
1989-01-01
Several new examples of continuum graded Lie algebras which provide an additional elucidation of these algebras are given. Here, in particular, the Kac-Moody algebras, the algebra S 0 Diff T 2 of infinitesimal area-preserving diffeomorphisms of the torus T 2 , the Fairlie, Fletcher and Zachos sine-algebras, etc., are described as special cases of the cross product Lie algebras. 8 refs
Fractional supersymmetry and infinite dimensional lie algebras
International Nuclear Information System (INIS)
Rausch de Traubenberg, M.
2001-01-01
In an earlier work extensions of supersymmetry and super Lie algebras were constructed consistently starting from any representation D of any Lie algebra g. Here it is shown how infinite dimensional Lie algebras appear naturally within the framework of fractional supersymmetry. Using a differential realization of g this infinite dimensional Lie algebra, containing the Lie algebra g as a sub-algebra, is explicitly constructed
Earth Data Analysis Center, University of New Mexico — This layer represents boundaries for New Mexico tax district "OUT" categories and incorporated/municipal "IN" categories as identified on the "Certificate of Tax...
International Nuclear Information System (INIS)
2011-01-01
This report briefly presents and comments the amount of environmental taxes which have been collected in France in 2008. These taxes comprise energy taxes (nearly 68 per cent), transport taxes (nearly 28 per cent) and pollution and resource taxes (less than 5 per cent), and represent 2 per cent of the French GDP and 5 per cent of mandatory contributions. The share of environmental taxes is compared among the European Union countries. This shows that France is close to the average. It also appears that these taxes evolve slower than the GDP. An indicator is built up and commented: it relates the rate between energy taxes and the GDP on the one hand, and energy consumption on the other hand. This indicator displays a slow but significant decrease since the end of the last century
Graded associative conformal algebras of finite type
Kolesnikov, Pavel
2011-01-01
In this paper, we consider graded associative conformal algebras. The class of these objects includes pseudo-algebras over non-cocommutative Hopf algebras of regular functions on some linear algebraic groups. In particular, an associative conformal algebra which is graded by a finite group $\\Gamma $ is a pseudo-algebra over the coordinate Hopf algebra of a linear algebraic group $G$ such that the identity component $G^0$ is the affine line and $G/G^0\\simeq \\Gamma $. A classification of simple...
Galois Connections for Flow Algebras
DEFF Research Database (Denmark)
Filipiuk, Piotr; Terepeta, Michal Tomasz; Nielson, Hanne Riis
2011-01-01
to the approach taken by Monotone Frameworks and other classical analyses. We present a generic framework for static analysis based on flow algebras and program graphs. Program graphs are often used in Model Checking to model concurrent and distributed systems. The framework allows to induce new flow algebras...
Ultraproducts of von Neumann algebras
DEFF Research Database (Denmark)
Ando, Hiroshi; Haagerup, Uffe
2014-01-01
We study several notions of ultraproducts of von Neumann algebras from a unified viewpoint. In particular, we show that for a sigma-finite von Neumann algebra M , the ultraproduct MωMω introduced by Ocneanu is a corner of the ultraproduct ∏ωM∏ωM introduced by Groh and Raynaud. Using...
Orthogonal symmetries and Clifford algebras
Indian Academy of Sciences (India)
a universal property of the even Clifford algebra in §3. ..... symmetry if σ2 = id. In the literature, such maps are sometimes also called “orthogonal involutions” (cf. Ch. III, §5 of [4]). We have, however, preferred to use the former ...... [7] Helmstetter J and Micali A, Quadratic mappings and Clifford algebras (Basel: Birkhäuser.
Six Lectures on Commutative Algebra
Elias, J; Miro-Roig, Rosa Maria; Zarzuela, Santiago
2009-01-01
Interest in commutative algebra has surged over the years. In order to survey and highlight the developments in this rapidly expanding field, the Centre de Recerca Matematica in Bellaterra organized a ten-days Summer School on Commutative Algebra in 1996. This title offers a synthesis of the lectures presented at the Summer School
Templates for Linear Algebra Problems
Bai, Z.; Day, D.; Demmel, J.; Dongarra, J.; Gu, M.; Ruhe, A.; Vorst, H.A. van der
1995-01-01
The increasing availability of advanced-architecture computers is having a very signicant eect on all spheres of scientic computation, including algorithm research and software development in numerical linear algebra. Linear algebra {in particular, the solution of linear systems of equations and
Linear Algebra and Image Processing
Allali, Mohamed
2010-01-01
We use the computing technology digital image processing (DIP) to enhance the teaching of linear algebra so as to make the course more visual and interesting. Certainly, this visual approach by using technology to link linear algebra to DIP is interesting and unexpected to both students as well as many faculty. (Contains 2 tables and 11 figures.)
Ahadpanah, A.; Borumand Saeid, A.
2011-01-01
In this paper, we define the Smarandache hyper BCC-algebra, and Smarandache hyper BCC-ideals of type 1, 2, 3 and 4. We state and prove some theorems in Smarandache hyper BCC -algebras, and then we determine the relationships between these hyper ideals.
The Algebra of Complex Numbers.
LePage, Wilbur R.
This programed text is an introduction to the algebra of complex numbers for engineering students, particularly because of its relevance to important problems of applications in electrical engineering. It is designed for a person who is well experienced with the algebra of real numbers and calculus, but who has no experience with complex number…
Modular specifications in process algebra
R.J. van Glabbeek (Rob); F.W. Vaandrager (Frits)
1987-01-01
textabstractIn recent years a wide variety of process algebras has been proposed in the literature. Often these process algebras are closely related: they can be viewed as homomorphic images, submodels or restrictions of each other. The aim of this paper is to show how the semantical reality,
Linear Algebra and Linear Models
Indian Academy of Sciences (India)
Linear Algebra and Linear. Models. Kalyan Das. Linear Algebra and linear Models. (2nd Edn) by R P Bapat. Hindustan Book Agency, 1999 pp.xiii+180, Price: Rs.135/-. This monograph provides an introduction to the basic aspects of the theory oflinear estima- tion and that of testing linear hypotheses. The primary objective ...
Quantum Observables and Effect Algebras
Dvurečenskij, Anatolij
2017-11-01
We study observables on monotone σ-complete effect algebras. We find conditions when a spectral resolution implies existence of the corresponding observable. We characterize sharp observables of a monotone σ-complete homogeneous effect algebra using its orthoalgebraic skeleton. In addition, we study compatibility in orthoalgebras and we show that every orthoalgebra satisfying RIP is an orthomodular poset.
Algebraic study of chiral anomalies
Indian Academy of Sciences (India)
2012-06-14
Jun 14, 2012 ... Abstract. The algebraic structure of chiral anomalies is made globally valid on non-trivial bundles ... Editor's Note: †Reproduced with kind permission from Springer Science+Business Media: Algebraic study of chiral anoma- ..... We shall see in the sequel several examples in which this ambiguity helps.
DEFF Research Database (Denmark)
Alan, Sule; Leth-Petersen, Søren; Munk-Nielsen, Anders
2016-01-01
We estimate the effect of a Danish 1987 tax reform, which reduced the tax rate applied to interest deductions from 73% to 50% for households with high incomes, but less for households with middle or low incomes. Using high quality panel data we find that households responded to the reduced tax...... subsidy by lowering interest payments and we find that the responsiveness to the tax subsidy varies by the initial level of interest payments....
Energy Technology Data Exchange (ETDEWEB)
Deakin, John F.
1998-07-01
The presentation deals with the North Sea fiscal regime, a modern system for corporation tax payments, transfer pricing, general anti-avoidance rule for direct taxes, treaty refunds, deductibility of interest for corporation tax, UK/US double taxation convention, and plain and simple tax legislation. Part of the background for the presentation was the fact that in England a new Labour Government had replaced the Conservatives and the new Chancellor had announced a review of the North Sea fiscal regime.
Practical algebraic renormalization
International Nuclear Information System (INIS)
Grassi, Pietro Antonio; Hurth, Tobias; Steinhauser, Matthias
2001-01-01
A practical approach is presented which allows the use of a non-invariant regularization scheme for the computation of quantum corrections in perturbative quantum field theory. The theoretical control of algebraic renormalization over non-invariant counterterms is translated into a practical computational method. We provide a detailed introduction into the handling of the Slavnov-Taylor and Ward-Takahashi identities in the standard model both in the conventional and the background gauge. Explicit examples for their practical derivation are presented. After a brief introduction into the Quantum Action Principle the conventional algebraic method which allows for the restoration of the functional identities is discussed. The main point of our approach is the optimization of this procedure which results in an enormous reduction of the calculational effort. The counterterms which have to be computed are universal in the sense that they are independent of the regularization scheme. The method is explicitly illustrated for two processes of phenomenological interest: QCD corrections to the decay of the Higgs boson into two photons and two-loop electroweak corrections to the process B→X s γ
Waterloo Workshop on Computer Algebra
Zima, Eugene; WWCA-2016; Advances in computer algebra : in honour of Sergei Abramov's' 70th birthday
2018-01-01
This book discusses the latest advances in algorithms for symbolic summation, factorization, symbolic-numeric linear algebra and linear functional equations. It presents a collection of papers on original research topics from the Waterloo Workshop on Computer Algebra (WWCA-2016), a satellite workshop of the International Symposium on Symbolic and Algebraic Computation (ISSAC’2016), which was held at Wilfrid Laurier University (Waterloo, Ontario, Canada) on July 23–24, 2016. This workshop and the resulting book celebrate the 70th birthday of Sergei Abramov (Dorodnicyn Computing Centre of the Russian Academy of Sciences, Moscow), whose highly regarded and inspirational contributions to symbolic methods have become a crucial benchmark of computer algebra and have been broadly adopted by many Computer Algebra systems.
Invariants of triangular Lie algebras
International Nuclear Information System (INIS)
Boyko, Vyacheslav; Patera, Jiri; Popovych, Roman
2007-01-01
Triangular Lie algebras are the Lie algebras which can be faithfully represented by triangular matrices of any finite size over the real/complex number field. In the paper invariants ('generalized Casimir operators') are found for three classes of Lie algebras, namely those which are either strictly or non-strictly triangular, and for so-called special upper triangular Lie algebras. Algebraic algorithm of Boyko et al (2006 J. Phys. A: Math. Gen.39 5749 (Preprint math-ph/0602046)), developed further in Boyko et al (2007 J. Phys. A: Math. Theor.40 113 (Preprint math-ph/0606045)), is used to determine the invariants. A conjecture of Tremblay and Winternitz (2001 J. Phys. A: Math. Gen.34 9085), concerning the number of independent invariants and their form, is corroborated
Elements of algebraic coding systems
Cardoso da Rocha, Jr, Valdemar
2014-01-01
Elements of Algebraic Coding Systems is an introductory text to algebraic coding theory. In the first chapter, you'll gain inside knowledge of coding fundamentals, which is essential for a deeper understanding of state-of-the-art coding systems. This book is a quick reference for those who are unfamiliar with this topic, as well as for use with specific applications such as cryptography and communication. Linear error-correcting block codes through elementary principles span eleven chapters of the text. Cyclic codes, some finite field algebra, Goppa codes, algebraic decoding algorithms, and applications in public-key cryptography and secret-key cryptography are discussed, including problems and solutions at the end of each chapter. Three appendices cover the Gilbert bound and some related derivations, a derivation of the Mac- Williams' identities based on the probability of undetected error, and two important tools for algebraic decoding-namely, the finite field Fourier transform and the Euclidean algorithm f...
Representations of affine Hecke algebras
Xi, Nanhua
1994-01-01
Kazhdan and Lusztig classified the simple modules of an affine Hecke algebra Hq (q E C*) provided that q is not a root of 1 (Invent. Math. 1987). Ginzburg had some very interesting work on affine Hecke algebras. Combining these results simple Hq-modules can be classified provided that the order of q is not too small. These Lecture Notes of N. Xi show that the classification of simple Hq-modules is essentially different from general cases when q is a root of 1 of certain orders. In addition the based rings of affine Weyl groups are shown to be of interest in understanding irreducible representations of affine Hecke algebras. Basic knowledge of abstract algebra is enough to read one third of the book. Some knowledge of K-theory, algebraic group, and Kazhdan-Lusztig cell of Cexeter group is useful for the rest
DEFF Research Database (Denmark)
Alstadsæter, Annette; Johannesen, Niels; Zucman, Gabriel
2017-01-01
markedly, highlighting the need to move beyond tax data to capture income and wealth at the top, even in countries where tax compliance is generally high. We also find that after reducing tax evasion—by using tax amnesties—tax evaders do not legally avoid taxes more. This result suggests that fighting tax......This paper attempts to estimate the size and distribution of tax evasion in rich countries. We combine random audits—the key source used to study tax evasion so far—with new micro-data leaked from large offshore financial institutions—HSBC Switzerland (“Swiss leaks”) and Mossack Fonseca (“Panama.......01% of the wealth distribution, a group that includes households with more than $45 million in net wealth. A simple model of the supply of tax evasion services can explain why evasion rises steeply with wealth. Taking tax evasion into account increases the rise in inequality seen in tax data since the 1970s...
Boskin, Michael J.
1985-01-01
Providing pre-college teachers with an analysis of tax reform is the primary goal of this publication. The present tax system is both inefficient and inequitable. Three goals of tax reform proposals are detailed: (1) fairness--the dimensions of horizontal equity, or equal treatment of equals however defined, and vertical equity, reflecting the…
Yilmaz, Fatih; Coolidge, Jacqueline
2016-01-01
Simplified tax regimes for micro and small enterprises in developing countries are intended to facilitate voluntary tax compliance. However, survey evidence suggests that small business taxation based on simplified bookkeeping or turnover is sometimes perceived as too complex for microenterprises in countries with high illiteracy levels. Very simple fixed tax regimes not requiring any book...
XML: James Webb Space Telescope Database Issues, Lessons, and Status
Detter, Ryan; Mooney, Michael; Fatig, Curtis
2003-01-01
This paper will present the current concept using extensible Markup Language (XML) as the underlying structure for the James Webb Space Telescope (JWST) database. The purpose of using XML is to provide a JWST database, independent of any portion of the ground system, yet still compatible with the various systems using a variety of different structures. The testing of the JWST Flight Software (FSW) started in 2002, yet the launch is scheduled for 2011 with a planned 5-year mission and a 5-year follow on option. The initial database and ground system elements, including the commands, telemetry, and ground system tools will be used for 19 years, plus post mission activities. During the Integration and Test (I&T) phases of the JWST development, 24 distinct laboratories, each geographically dispersed, will have local database tools with an XML database. Each of these laboratories database tools will be used for the exporting and importing of data both locally and to a central database system, inputting data to the database certification process, and providing various reports. A centralized certified database repository will be maintained by the Space Telescope Science Institute (STScI), in Baltimore, Maryland, USA. One of the challenges for the database is to be flexible enough to allow for the upgrade, addition or changing of individual items without effecting the entire ground system. Also, using XML should allow for the altering of the import and export formats needed by the various elements, tracking the verification/validation of each database item, allow many organizations to provide database inputs, and the merging of the many existing database processes into one central database structure throughout the JWST program. Many National Aeronautics and Space Administration (NASA) projects have attempted to take advantage of open source and commercial technology. Often this causes a greater reliance on the use of Commercial-Off-The-Shelf (COTS), which is often limiting
(Modular Effect Algebras are Equivalent to (Frobenius Antispecial Algebras
Directory of Open Access Journals (Sweden)
Dusko Pavlovic
2017-01-01
Full Text Available Effect algebras are one of the generalizations of Boolean algebras proposed in the quest for a quantum logic. Frobenius algebras are a tool of categorical quantum mechanics, used to present various families of observables in abstract, often nonstandard frameworks. Both effect algebras and Frobenius algebras capture their respective fragments of quantum mechanics by elegant and succinct axioms; and both come with their conceptual mysteries. A particularly elegant and mysterious constraint, imposed on Frobenius algebras to characterize a class of tripartite entangled states, is the antispecial law. A particularly contentious issue on the quantum logic side is the modularity law, proposed by von Neumann to mitigate the failure of distributivity of quantum logical connectives. We show that, if quantum logic and categorical quantum mechanics are formalized in the same framework, then the antispecial law of categorical quantum mechanics corresponds to the natural requirement of effect algebras that the units are each other's unique complements; and that the modularity law corresponds to the Frobenius condition. These correspondences lead to the equivalence announced in the title. Aligning the two formalisms, at the very least, sheds new light on the concepts that are more clearly displayed on one side than on the other (such as e.g. the orthogonality. Beyond that, it may also open up new approaches to deep and important problems of quantum mechanics (such as the classification of complementary observables.
Rota-Baxter algebras and the Hopf algebra of renormalization
International Nuclear Information System (INIS)
Ebrahimi-Fard, K.
2006-06-01
Recently, the theory of renormalization in perturbative quantum field theory underwent some exciting new developments. Kreimer discovered an organization of Feynman graphs into combinatorial Hopf algebras. The process of renormalization is captured by a factorization theorem for regularized Hopf algebra characters. Hereby the notion of Rota-Baxter algebras enters the scene. In this work we develop in detail several mathematical aspects of Rota-Baxter algebras as they appear also in other sectors closely related to perturbative renormalization, to wit, for instance multiple-zeta-values and matrix differential equations. The Rota-Baxter picture enables us to present the algebraic underpinning for the Connes-Kreimer Birkhoff decomposition in a concise way. This is achieved by establishing a general factorization theorem for filtered algebras. Which in turn follows from a new recursion formula based on the Baker-Campbell-Hausdorff formula. This allows us to generalize a classical result due to Spitzer to non-commutative Rota-Baxter algebras. The Baker-Campbell-Hausdorff based recursion turns out to be a generalization of Magnus' expansion in numerical analysis to generalized integration operators. We will exemplify these general results by establishing a simple representation of the combinatorics of renormalization in terms of triangular matrices. We thereby recover in the presence of a Rota-Baxter operator the matrix representation of the Birkhoff decomposition of Connes and Kreimer. (orig.)
Rota-Baxter algebras and the Hopf algebra of renormalization
Energy Technology Data Exchange (ETDEWEB)
Ebrahimi-Fard, K.
2006-06-15
Recently, the theory of renormalization in perturbative quantum field theory underwent some exciting new developments. Kreimer discovered an organization of Feynman graphs into combinatorial Hopf algebras. The process of renormalization is captured by a factorization theorem for regularized Hopf algebra characters. Hereby the notion of Rota-Baxter algebras enters the scene. In this work we develop in detail several mathematical aspects of Rota-Baxter algebras as they appear also in other sectors closely related to perturbative renormalization, to wit, for instance multiple-zeta-values and matrix differential equations. The Rota-Baxter picture enables us to present the algebraic underpinning for the Connes-Kreimer Birkhoff decomposition in a concise way. This is achieved by establishing a general factorization theorem for filtered algebras. Which in turn follows from a new recursion formula based on the Baker-Campbell-Hausdorff formula. This allows us to generalize a classical result due to Spitzer to non-commutative Rota-Baxter algebras. The Baker-Campbell-Hausdorff based recursion turns out to be a generalization of Magnus' expansion in numerical analysis to generalized integration operators. We will exemplify these general results by establishing a simple representation of the combinatorics of renormalization in terms of triangular matrices. We thereby recover in the presence of a Rota-Baxter operator the matrix representation of the Birkhoff decomposition of Connes and Kreimer. (orig.)
Universal enveloping Lie Rota-Baxter algebra of preLie and post-Lie algebras
Gubarev, Vsevolod
2017-01-01
Universal enveloping Lie Rota-Baxter algebras of pre-Lie and post-Lie algebras are constructed. It is proved that the pairs of varieties (Lie Rota-Baxter algebras of zero weight,preLie algebras) and (Lie Rota-Baxter algebras of nonzero weight,post-Lie algebras) are PBW-pairs and the variety of Lie Rota-Baxter algebras is not Schreier.
DEFF Research Database (Denmark)
Sørensen, Peter Birch
This paper discusses the principles and practices of dual income taxation in the Nordic countries. The first part of the paper explains the rationale and the historical background for the introduction of the dual income tax and describes the current Nordic tax practices. The second part...... of the paper focuses on the problems of taxing income from small businesses and the issue of corporate-personal tax integration under the dual income tax, considering alternative ways of dealing with these challenges. In the third and final part of the paper, I briefly discuss whether introducing a dual income...
Chia-Hui Lu
2012-01-01
This paper studies the optimal taxation between luxury and necessity goods. We set up a three-production-sector neoclassical growth model with inelastic labor supply, and analyze the tax incidence. We find that the two consumption taxes are neutral to economic growth and that the welfare maximization optimal tax mix involves levying the same rate on those two goods. In reality, the tax rate levied on the luxury good is usually higher, so that the government should reduce the tax rate on the l...
DEFF Research Database (Denmark)
Rossing, Christian Plesner
2013-01-01
environment. Moreover, the paper extends existing contingency-based theory on MCS by illustrating the role of inter-organisational network collaboration across MNE transfer pricing tax experts. This collaboration, caused by a widely dispersed tax knowledge base, fuels the formal interactive control system......This paper examines how a functional tax strategy impacts the management control system (MCS) in a multinational enterprise (MNE) facing transfer pricing tax risks. Based on case study findings it is argued that the MCS in a multinational setting is contingent upon the MNE's response to its tax...
DEFF Research Database (Denmark)
Boll, Karen
2015-01-01
fieldwork conducted in the Central Customs and Tax Administration. Findings – The paper shows that the tax inspectors reason about tax evasion in a casuistic manner. They pay attention to similar cases and to particular circumstances of the individual cases. In deciding on tax evasion, the inspectors do...... not just administer the laws; they also enact a policy of fair-mindedness. Doing this they are constrained by time and man-powers, but also enabled by various organizational devices. Research limitations/implications – The tax inspectors that the author followed were carefully chosen and acted...
Lie algebra in quantum physics by means of computer algebra
Kikuchi, Ichio; Kikuchi, Akihito
2017-01-01
This article explains how to apply the computer algebra package GAP (www.gap-system.org) in the computation of the problems in quantum physics, in which the application of Lie algebra is necessary. The article contains several exemplary computations which readers would follow in the desktop PC: such as, the brief review of elementary ideas of Lie algebra, the angular momentum in quantum mechanics, the quark eight-fold way model, and the usage of Weyl character formula (in order to construct w...
Head First Algebra A Learner's Guide to Algebra I
Pilone, Tracey
2008-01-01
Having trouble understanding algebra? Do algebraic concepts, equations, and logic just make your head spin? We have great news: Head First Algebra is designed for you. Full of engaging stories and practical, real-world explanations, this book will help you learn everything from natural numbers and exponents to solving systems of equations and graphing polynomials. Along the way, you'll go beyond solving hundreds of repetitive problems, and actually use what you learn to make real-life decisions. Does it make sense to buy two years of insurance on a car that depreciates as soon as you drive i
Gonzalez-Vega, Laureano
1999-01-01
Using a Computer Algebra System (CAS) to help with the teaching of an elementary course in linear algebra can be one way to introduce computer algebra, numerical analysis, data structures, and algorithms. Highlights the advantages and disadvantages of this approach to the teaching of linear algebra. (Author/MM)
The role of XML in the CMS detector description
International Nuclear Information System (INIS)
Liendl, M.; Lingen, F.van; Todorov, T.; Arce, P.; Furtjes, A.; Innocente, V.; Roeck, A. de; Case, M.
2001-01-01
Offline Software such as Simulation, Reconstruction, Analysis, and Visualisation are all in need of a detector description. These applications have several common but also many specific requirements for the detector description in order to build up their internal representations. To achieve this in a consistent and coherent manner a common source of information, the detector description database, will be consulted by each of the applications. The role and suitability of XML in the design of the detector description database in the scope of the CMS detector at the LHC is discussed. Different aspects such as data modelling capabilities of XML, tool support, integration to C++ representations of data models are treated and recent results of prototype implementations are presented
QuakeML - An XML Schema for Seismology
Wyss, A.; Schorlemmer, D.; Maraini, S.; Baer, M.; Wiemer, S.
2004-12-01
We propose an extensible format-definition for seismic data (QuakeML). Sharing data and seismic information efficiently is one of the most important issues for research and observational seismology in the future. The eXtensible Markup Language (XML) is playing an increasingly important role in the exchange of a variety of data. Due to its extensible definition capabilities, its wide acceptance and the existing large number of utilities and libraries for XML, a structured representation of various types of seismological data should in our opinion be developed by defining a 'QuakeML' standard. Here we present the QuakeML definitions for parameter databases and further efforts, e.g. a central QuakeML catalog database and a web portal for exchanging codes and stylesheets.
Bioinformatics data distribution and integration via Web Services and XML.
Li, Xiao; Zhang, Yizheng
2003-11-01
It is widely recognized that exchange, distribution, and integration of biological data are the keys to improve bioinformatics and genome biology in post-genomic era. However, the problem of exchanging and integrating biology data is not solved satisfactorily. The eXtensible Markup Language (XML) is rapidly spreading as an emerging standard for structuring documents to exchange and integrate data on the World Wide Web (WWW). Web service is the next generation of WWW and is founded upon the open standards of W3C (World Wide Web Consortium) and IETF (Internet Engineering Task Force). This paper presents XML and Web Services technologies and their use for an appropriate solution to the problem of bioinformatics data exchange and integration.
DEFF Research Database (Denmark)
Boll, Karen
2016-01-01
This article shows a new form of regulation within a tax administration where tax administrators abate tax evasion by nudging and motivating consumers to only purchase services from tax compliant businesses. This indirectly closes or forces tax evading businesses to change their practices, because...... their customer bases decline to commercially non-viable levels. The analysis is framed by public governance literature and argues that the regulation is an example of collaborative or interactive governance, because the tax administrators do not regulate non-compliance directly, but activate external...... stakeholders, i.e. the consumers, in the regulatory craft. The study is based on a qualitative methodology and draws on a unique case of regulation in the cleaning sector. This sector is at high risk of tax evasion and human exploitation of vulnerable workers operating in the informal economy. The article has...
Current algebra for parafields
International Nuclear Information System (INIS)
Palev, Ch.D.
1976-01-01
Within the framework of the Lagrangean QFT a generalization of canonical commutation and anticommutation relations in terms of three-linear commutation relations, corresponding to the parastatistics, s discussed. A detailed derivation of these three-linear relations for a set of parafermi fields is presented. Then for a Lagrangean, depending of a family of parabose fields and a family of paraferm fields, is shown that the fundamental hypothesis of current algebra is valid. In other words, the currents corresponding to the linear gauge transformations are found to meet the commutation relation: [Jsub(f)sup(0)(x), Jsub(g)sup(0)]sub(x 0 =y 0 ) = -idelta(x vector - y vector)Jsub([f,g])sup(0) (x), where Jsub(f)sup(0) is a time component of the current, corresponding to transformation f. (S.P.)
Meijer, Alko R
2016-01-01
This textbook provides an introduction to the mathematics on which modern cryptology is based. It covers not only public key cryptography, the glamorous component of modern cryptology, but also pays considerable attention to secret key cryptography, its workhorse in practice. Modern cryptology has been described as the science of the integrity of information, covering all aspects like confidentiality, authenticity and non-repudiation and also including the protocols required for achieving these aims. In both theory and practice it requires notions and constructions from three major disciplines: computer science, electronic engineering and mathematics. Within mathematics, group theory, the theory of finite fields, and elementary number theory as well as some topics not normally covered in courses in algebra, such as the theory of Boolean functions and Shannon theory, are involved. Although essentially self-contained, a degree of mathematical maturity on the part of the reader is assumed, corresponding to his o...
Hestenes, David
2015-01-01
This small book started a profound revolution in the development of mathematical physics, one which has reached many working physicists already, and which stands poised to bring about far-reaching change in the future. At its heart is the use of Clifford algebra to unify otherwise disparate mathematical languages, particularly those of spinors, quaternions, tensors and differential forms. It provides a unified approach covering all these areas and thus leads to a very efficient ‘toolkit’ for use in physical problems including quantum mechanics, classical mechanics, electromagnetism and relativity (both special and general) – only one mathematical system needs to be learned and understood, and one can use it at levels which extend right through to current research topics in each of these areas. These same techniques, in the form of the ‘Geometric Algebra’, can be applied in many areas of engineering, robotics and computer science, with no changes necessary – it is the same underlying mathematics, a...
Energy Technology Data Exchange (ETDEWEB)
2017-08-01
AMG is a parallel algebraic multigrid solver for linear systems arising from problems on unstructured grids. It has been derived directly from the BoomerAMG solver in the hypre library, a large linear solvers library that is being developed in the Center for Applied Scientific Computing (CASC) at LLNL and is very similar to the AMG2013 benchmark with additional optimizations. The driver provided in the benchmark can build various test problems. The default problem is a Laplace type problem with a 27-point stencil, which can be scaled up and is designed to solve a very large problem. A second problem simulates a time dependent problem, in which successively various smnllcr systems are solved.
Applications of computer algebra
1985-01-01
Today, certain computer software systems exist which surpass the computational ability of researchers when their mathematical techniques are applied to many areas of science and engineering. These computer systems can perform a large portion of the calculations seen in mathematical analysis. Despite this massive power, thousands of people use these systems as a routine resource for everyday calculations. These software programs are commonly called "Computer Algebra" systems. They have names such as MACSYMA, MAPLE, muMATH, REDUCE and SMP. They are receiving credit as a computational aid with in creasing regularity in articles in the scientific and engineering literature. When most people think about computers and scientific research these days, they imagine a machine grinding away, processing numbers arithmetically. It is not generally realized that, for a number of years, computers have been performing non-numeric computations. This means, for example, that one inputs an equa tion and obtains a closed for...
THE TAX ADVANTAGES OF INCOME TAX PAYERS
Directory of Open Access Journals (Sweden)
SUCIU GHEORGHE
2015-04-01
Full Text Available The paper analyzes the cost of financing through financial and operational leasing due to the deductibility of depreciation and interest. The shareholders of any company aim to obtain profit and to increase their ownership equity. In order for this to happen, the company must have profit, for which a corporate tax must be paid. A good management translates into choosing the most advantageous means of financing, which will lead to paying a lower corporate tax. Leasing and the non-taxation of reinvested profits are two means through which companies can obtain significant fiscal advantages, by increasing the deductible expenses, or by paying lower taxes.
GOODS AND SERVICE TAX ONE NATION ONE TAX IN INDIA.
Shuchi Sharma; Rupendra Prakash Yadav.
2018-01-01
Goods and Service Tax is a significant and logical step towards a comprehensive Indirect tax reform in India. This paper analyses the concept of Goods Service Tax and further discusses their impact on the various sectors in India. Brief description is given on Goods Service Tax background and Goods and Service Tax models helps to reduce tax burden. It aims at creating a single and unified market benefiting both corporate and economy because this is the only Indirect tax that directly affects ...
Tax Structure and Government Expenditures under Tax Equity Norms
Tobias Koenig; Andreas Wagener
2010-01-01
We augment a standard tax model by concerns about tax equity: people get upset when labour is taxed more heavily than capital. Even the slightest concern for tax equity invalidates the common recommendation for small open economies that capital should remain tax-exempt. This holds for exogenous as well as for endogenous government expenditures and irrespective of whether concerns with tax equity only cause emotional discomfort or also impact on work incentives. If concerns with tax equity get...
XTCE: XML Telemetry and Command Exchange Tutorial, XTCE Version 1
Rice, Kevin; Kizzort, Brad
2008-01-01
These presentation slides are a tutorial on XML Telemetry and Command Exchange (XTCE). The goal of XTCE is to provide an industry standard mechanism for describing telemetry and command streams (particularly from satellites.) it wiill lower cost and increase validation over traditional formats, and support exchange or native format.XCTE is designed to describe bit streams, that are typical of telemetry and command in the historic space domain.
Toward a Normalized XML Schema for the GGP Data Archives
Directory of Open Access Journals (Sweden)
Alban Gabillon
2013-04-01
Full Text Available Since 1997, the Global Geodynamics Project (GGP stations have used a text-based data format. The main drawback of this type of data coding is the lack of data integrity during the data flow processing. As a result, metadata and even data must be checked by human operators. In this paper, we propose a new format for representing the GGP data. This new format is based on the eXtensible Markup Language (XML.
Macdonald index and chiral algebra
Song, Jaewon
2017-08-01
For any 4d N = 2 SCFT, there is a subsector described by a 2d chiral algebra. The vacuum character of the chiral algebra reproduces the Schur index of the corresponding 4d theory. The Macdonald index counts the same set of operators as the Schur index, but the former has one more fugacity than the latter. We conjecture a prescription to obtain the Macdonald index from the chiral algebra. The vacuum module admits a filtration, from which we construct an associated graded vector space. From this grading, we conjecture a notion of refined character for the vacuum module of a chiral algebra, which reproduces the Macdonald index. We test this prescription for the Argyres-Douglas theories of type ( A 1 , A 2 n ) and ( A 1 , D 2 n+1) where the chiral algebras are given by Virasoro and \\widehat{su}(2) affine Kac-Moody algebra. When the chiral algebra has more than one family of generators, our prescription requires a knowledge of the generators from the 4d.
Quantum algebra of N superspace
International Nuclear Information System (INIS)
Hatcher, Nicolas; Restuccia, A.; Stephany, J.
2007-01-01
We identify the quantum algebra of position and momentum operators for a quantum system bearing an irreducible representation of the super Poincare algebra in the N>1 and D=4 superspace, both in the case where there are no central charges in the algebra, and when they are present. This algebra is noncommutative for the position operators. We use the properties of superprojectors acting on the superfields to construct explicit position and momentum operators satisfying the algebra. They act on the projected wave functions associated to the various supermultiplets with defined superspin present in the representation. We show that the quantum algebra associated to the massive superparticle appears in our construction and is described by a supermultiplet of superspin 0. This result generalizes the construction for D=4, N=1 reported recently. For the case N=2 with central charges, we present the equivalent results when the central charge and the mass are different. For the κ-symmetric case when these quantities are equal, we discuss the reduction to the physical degrees of freedom of the corresponding superparticle and the construction of the associated quantum algebra
Vertex algebras and mirror symmetry
International Nuclear Information System (INIS)
Borisov, L.A.
2001-01-01
Mirror Symmetry for Calabi-Yau hypersurfaces in toric varieties is by now well established. However, previous approaches to it did not uncover the underlying reason for mirror varieties to be mirror. We are able to calculate explicitly vertex algebras that correspond to holomorphic parts of A and B models of Calabi-Yau hypersurfaces and complete intersections in toric varieties. We establish the relation between these vertex algebras for mirror Calabi-Yau manifolds. This should eventually allow us to rewrite the whole story of toric mirror symmetry in the language of sheaves of vertex algebras. Our approach is purely algebraic and involves simple techniques from toric geometry and homological algebra, as well as some basic results of the theory of vertex algebras. Ideas of this paper may also be useful in other problems related to maps from curves to algebraic varieties.This paper could also be of interest to physicists, because it contains explicit description of holomorphic parts of A and B models of Calabi-Yau hypersurfaces and complete intersections in terms of free bosons and fermions. (orig.)
Directory of Open Access Journals (Sweden)
Ilić-Popov Gordana
2014-01-01
Full Text Available In the article an analysis of the impact of corruption, both administrative and state capture, on the tax structure is carried out. The authors established a negative correlation between the degree of corruption and the height of the effective tax burden, while isolating a simultaneous directly proportional impact of the nominal tax burden (which could reflect state intervention - the main corruption factor on the scope of corruption. The effects of corruption on the decrease of individual taxes' share in GDP are diversified, with impact on direct taxes as a whole being more observable. The mode of tax assessment significantly determines exposure of certain tax to the administrative corruption: it is generally larger in case of taxes assessed by the decision of the competent tax officials who are carrying out both assessment and audit, while in the case of self-assessment and withholding they just perform audits implying limited exposure to corruption. Corruptive state capture is present in the case of taxes which are important for influential corruptors. That is why in Serbia laws preventing taxation of capital gains or heavier taxation of dividends and other income paid to non-residents located in the tax havens were adopted, while by-laws which should have enabled implementation of prescribed lump sum taxation based on external signs of wealth have not been enacted. The authors concluded that the anti-corruption strategy should rely on the increasing role of self-assessment, which could reduce the room for administrative corruption. Unclear and imprecise formulations of the tax norms facilitate corruption, because they create room for arbitrariness in interpretation and implementation of the laws and by-laws. It is therefore necessary to surprises discretion, simplify tax procedure and diminish the number of tax relief's.
Rock.XML - Towards a library of rock physics models
Jensen, Erling Hugo; Hauge, Ragnar; Ulvmoen, Marit; Johansen, Tor Arne; Drottning, Åsmund
2016-08-01
Rock physics modelling provides tools for correlating physical properties of rocks and their constituents to the geophysical observations we measure on a larger scale. Many different theoretical and empirical models exist, to cover the range of different types of rocks. However, upon reviewing these, we see that they are all built around a few main concepts. Based on this observation, we propose a format for digitally storing the specifications for rock physics models which we have named Rock.XML. It does not only contain data about the various constituents, but also the theories and how they are used to combine these building blocks to make a representative model for a particular rock. The format is based on the Extensible Markup Language XML, making it flexible enough to handle complex models as well as scalable towards extending it with new theories and models. This technology has great advantages as far as documenting and exchanging models in an unambiguous way between people and between software. Rock.XML can become a platform for creating a library of rock physics models; making them more accessible to everyone.
Piwko, Karel
2008-01-01
XML je de facto standardem pro výměnu informací na Internetu, mezi aplikacemi a podniky. Při jeho ukládání máme na výběr techniky umožnující použítí relačních databází a nebo nativní XML databáze, jejichž XML datový model lépe odpovídá datům. Tato práce se zabývá tvorbou a porovnáním webových aplikací založených na uvedených technologiích, s využítím open source databáze eXist, webového frameworku Apache Cocoon a open source databáze PostgreSQL, aplikačního frameworku Stripes, Java Persistenc...
Semiprojectivity of universal -algebras generated by algebraic elements
DEFF Research Database (Denmark)
Shulman, Tatiana
2012-01-01
Let be a polynomial in one variable whose roots all have multiplicity more than 1. It is shown that the universal -algebra of a relation , , is semiprojective and residually finite-dimensional. Applications to polynomially compact operators are given....
Topological Ã-algebras with CÃ-enveloping algebras II
Indian Academy of Sciences (India)
subalgebra and contained in the crossed product *-algebra *(, , ) satisfies ()=*(, , ). If G = R , if is an -invariant dense Frechet ∗-subalgebra of such that () = , and if the action on is -tempered, smooth and by continuous ...
Coxeter groups and Hopf algebras
Aguiar, Marcelo
2011-01-01
An important idea in the work of G.-C. Rota is that certain combinatorial objects give rise to Hopf algebras that reflect the manner in which these objects compose and decompose. Recent work has seen the emergence of several interesting Hopf algebras of this kind, which connect diverse subjects such as combinatorics, algebra, geometry, and theoretical physics. This monograph presents a novel geometric approach using Coxeter complexes and the projection maps of Tits for constructing and studying many of these objects as well as new ones. The first three chapters introduce the necessary backgrou
Linear operators in Clifford algebras
International Nuclear Information System (INIS)
Laoues, M.
1991-01-01
We consider the real vector space structure of the algebra of linear endomorphisms of a finite-dimensional real Clifford algebra (2, 4, 5, 6, 7, 8). A basis of that space is constructed in terms of the operators M eI,eJ defined by x→e I .x.e J , where the e I are the generators of the Clifford algebra and I is a multi-index (3, 7). In particular, it is shown that the family (M eI,eJ ) is exactly a basis in the even case. (orig.)
Homology theory on algebraic varieties
Wallace, Andrew H
1958-01-01
Homology Theory on Algebraic Varieties, Volume 6 deals with the principles of homology theory in algebraic geometry and includes the main theorems first formulated by Lefschetz, one of which is interpreted in terms of relative homology and another concerns the Poincaré formula. The actual details of the proofs of these theorems are introduced by geometrical descriptions, sometimes aided with diagrams. This book is comprised of eight chapters and begins with a discussion on linear sections of an algebraic variety, with emphasis on the fibring of a variety defined over the complex numbers. The n