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Mathematical theory exploration

Mathematical theory exploration

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8th international symposium on symbolic and numeric algorithms for scientific computing

作者： Buchberger, Bruno Johannes Kepler Univ Res Inst Symbol Computat A-4232 Schloss Hagenberg Austria

ISBN: (纸本)9780769527406

Mathematics is characterized by its method of gaining knowledge, namely reasoning. the automation of reasoning has seen significant advances over the past decades and, thus, the expectation was that these advances would also have significant impact on the practice of doing mathematics. However, so far, this impact is small. We think that the reason for this is the fact that automated reasoning so far concentrated on the automated proof of individual theorems whereas, in the practice of mathematics, one proceeds by building up entire theories in a step-by-step process. this process of exploring mathematical theories consists of the invention of notions, the invention and proof of propositions (lemmas, theorems), the invention of problems, and the invention and verification of methods (algorithms) that solve problems.

关键词： Mathematics Reduced instruction set computing Automation Power generation Humans Failure analysis Data mining scientific computing Computational geometry Algorithm design and analysis

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symbolic Derivation of Mean-Field PDEs from Lattice-Based Models 17

Symbolic Derivation of Mean-Field PDEs from Lattice-Based Mo...

引用

17th international symposium on symbolic and numeric algorithms for scientific computing (SYNASC)

作者： Koutschan, Christoph Ranetbauer, Helene Regensburger, Georg Wolfram, Marie-therese Austrian Acad Sci OAW Johann Radon Inst Computat & Appl Math RICAM Altenberger Str 69 A-4040 Linz Austria

ISBN: (纸本)9781509004614

Transportation processes, which play a prominent role in the life and social sciences, are typically described by discrete models on lattices. For studying their dynamics a continuous formulation of the problem via partial differential equations (PDE) is employed. In this paper we propose a symbolic computation approach to derive mean-field PDEs from a lattice-based model. We start with the microscopic equations, which state the probability to find a particle at a given lattice site. then the PDEs are formally derived by Taylor expansions of the probability densities and by passing to an appropriate limit as the time steps and the distances between lattice sites tend to zero. We present an implementation in a computer algebra system that performs this transition for a general class of models. In order to rewrite the mean-field PDEs in a conservative formulation, we adapt and implement symbolic integration methods that can handle unspecified functions in several variables. To illustrate our approach, we consider an application in crowd motion analysis where the dynamics of bidirectional flows are studied. However, the presented approach can be applied to various transportation processes of multiple species with variable size in any dimension, for example, to confirm several proposed mean-field models for cell motility.

关键词： Algebra

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Reliable management of virtualized resources using fault trees 16

Reliable management of virtualized resources using fault tre...

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16th international symposium on symbolic and numeric algorithms for scientific computing (SYNASC)

作者： Butoi, Alexandru Stan, Alexandru Silaghi, Gheorghe Cosmin Univ Babes Bolyai R-3400 Cluj Napoca Romania

ISBN: (纸本)9781479984480

the new trends in distributed computing has changed the way we do computing when talking about cloud infrastructures or high-performance computing. Resource virtualization technologies enabled elasticity of resource provisioning and management through easy replication of virtual nodes or virtual machine migration. In order to provide high availability and reliability in such distributed environments where resources are managed and served in form of virtual machines, specific load balancing and fault strategies are needed. Based on fault tree analysis concepts, we propose a distributed and autonomous approach to manage faults using fault agents able to asses and predict for each virtualized node, its state of fault or future fault. Accordingly, each node can take a decision about accepting future jobs, delegate jobs to own replicated instances or start a live migration process as a second strategy for assuring availability and continuity of the service.

关键词： cloud computing fault tolerant computing fault trees parallel processing resource allocation virtual machines virtualisation cloud infrastructures distributed computing fault agents fault tree analysis high-performance computing load balancing reliable virtualized resource management resource provisioning resource virtualization technologies virtual machine migration Cloud computing Computational modeling Fault tolerance Fault tolerant systems Fault trees Virtual machining Fault trees virtual machines Cloud computing Virtualization Fault tolerant systems Distributed computing Fault tolerant computing Fault tree analysis High Performance computing Load balancing Fault tolerance Computational modeling PARALLEL PROCESSING (COMPUTERS) Resource utilization virtual machining

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Application Deployment and Management in the Cloud 16

Application Deployment and Management in the Cloud

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16th international symposium on symbolic and numeric algorithms for scientific computing (SYNASC)

作者： Miglierina, Marco Politecn Milan DEIB Milan Italy

ISBN: (纸本)9781479984480

Cloud computing is a revolutionary paradigm that allows to acquire infinite resources on demand and pay only for the actual use. Together with novel software development methodologies, such as Agile and DevOps, the cloud can really help companies in responding to market demand for continuous delivering innovative services, enabling the shift from a silo based release process, where customers, developers and system administrators are almost conflicting among each other, to a unified process, where the shared final objective is that of making the product available to the user. there are two main challenges that have to be faced when approaching the cloud. First of all, the heterogeneity of the offer. More and more cloud services are growing from different providers with no standard yet defined, driving companies towards the lock-in problem. Second, having the possibility to scale from 10s to 1000s of machines implies huge effort in IT management without smart automation systems. this paper is an attempt to review some of the tools among the currently available ones that may help companies simplifying their application release process.

关键词： cloud computing Agile DevOps IT management application deployment application management application release process cloud services continuous delivering innovative services market demand revolutionary paradigm shared final objective silo based release process system administrators Automation Companies Containers Software Standards Virtual machining devops Cloud computing system administrator Companies virtual machines computer software CONTAINERS Automation virtual machining CLOUDS Clouds APPLICATION MANAGEMENT

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Characterizing tractability with membrane creation

Characterizing tractability with membrane creation

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7th international symposium on symbolic and numeric algorithms for scientific computing, SYNASC 2005

作者： Gutiérrez-Naranjo, Miguel A. Pérez-Jiménez, Mario J. Riscos-Núñez, Agustín Romero-Campero, Francisco J. Research Group on Natural Computing Dpt. Computer Science and Artificial Intelligence University of Sevilla Avda. Reina Mercedes s/n 41012 - Sevilla Spain

ISBN: (纸本)0769524532

this paper analyzes the role that membrane dissolution rules play in order to characterize (in the framework of recognizer P systems with membrane creation) the tractability of decision problems -that is, the efficient solvability of problems by deterministic Turing machines. In this context, the use or not of these rules provides an interesting borderline between the tractability and the (presumable) intractability. © 2005 IEEE.

关键词： Natural sciences computing

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ARTIST Methodology and Framework: A novel approach for the migration of legacy software on the Cloud

ARTIST Methodology and Framework: A novel approach for the m...

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15th international symposium on symbolic and numeric algorithms for scientific computing (SYNASC)

作者： Menychtas, Andreas Santzaridou, Christina Kousiouris, George Varvarigou, theodora Orue-Echevarria, Leire Alonso, Juncal Gorronogoitia, Jesus Bruneliere, Hugo Strauss, Oliver Senkova, Tatiana Pellens, Bram Stuer, Peter Natl Tech Univ Athens Athens Greece TECNALIA ICT European Software Inst Div Zamudio Spain ATOS Res & Innovat Serv Engn & IT Platforms Lab Madrid Spain Inria Mines Nantes AtlanMod Team Nantes France LINA Nantes France Fraunhofer Inst Ind Engn IAO Software Technol Team Stuttgart Germany Spikes NV Brussels Belgium

ISBN: (纸本)9781479930357

Nowadays Cloud computing is considered as the ideal environment for engineering, hosting and provisioning applications. A continuously increasing set of cloud-based solutions is available to application owners and developers to tailor their applications exploiting the advanced features of this paradigm for elasticity, high availability and performance. Although these offerings provide many benefits to new applications, they also incorporate constrains to the modernization and migration of legacy applications by obliging the use of specific technologies and explicit architectural design approaches. the modernization and adaptation of legacy applications to cloud environments is a great challenge for all involved stakeholders, not only from the technical perspective, but also in business level with the need to adapt the business processes and models of the modernized application that will be offered from now on, as a service. In this paper we present a novel model-driven approach for the migration of legacy applications in modern cloud environments which covers all aspects and phases of the migration process, as well as an integrated framework that supports all migration process.

关键词： Cloud computing Legacy Software Modelling Migration Modernization Methodology

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Benchmarks in the Cloud: the mOSAIC Benchmarking Framework

Benchmarks in the Cloud: The mOSAIC Benchmarking Framework

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14th international symposium on symbolic and numeric algorithms for scientific computing (SYNASC)

作者： Rak, Massimiliano Aversano, Giuseppe Univ Naples 2 Dept Informat Engn Via Roma 29 I-81031 Aversa Italy Univ Sannio Dept Informat Engn I-82100 Benevento Italy

ISBN: (纸本)9780769549347;9781467350266

A natural consequence of the pay-per-use business model of Cloud computing, is that Cloud Users need to evaluate and compare different cloud providers in order to choose the best offerings in terms of trade-off among performance and prices. But this is, at the state of art, one of the main lack in the cloud environment: no real grants are offered by providers about the quality of the resources offered and no clear ways exists to compare two different offerings. Moreover the high dynamicity of cloud resources (virtual machines can be added or removed in few minutes) make evaluation of such systems really hard to be done. In this paper we propose a framework for building ad-hoc benchmark applications, whose behaviour is strictly related with user needs and which can be used to compare different provider. the framework is based on the mOSAIC project, which offers a deployable platform and an API for building provider-independent applications. Due to such independence we are able to directly compare different cloud offers. the paper proposes a detailed analysis of the state of art and of the problem of benchmarking in cloud environment, before detailing the proposed architecture and illustrating it briefly with an example.

关键词： Cloud computing Benchmark Cloud Application mOSAIC

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ReaderBench: Building Comprehensive Sociograms of Online Communities A Side-by-Side Comparison between Gaming and Online Knowledge Building Communities 19

<i>ReaderBench</i>: Building Comprehensive Sociograms of Onl...

引用

19th international symposium on symbolic and numeric algorithms for scientific computing (SYNASC)

作者： Sirbu, Dorinela Panaite, Marilena Secui, Ana Dascalu, Mihai Nistor, Nicolae Trausan-Matu, Stefan Univ Politehn Bucuresti Comp Sci Dept Bucharest Romania Ludwig Maximilians Univ Munchen Fac Psychol & Educ Sci Munich Germany

ISBN: (纸本)9781538626269

the usage of discussion forums and blogs has dramatically increased during the last years. Having a wide applicability, ranging from fun to learning purposes, the modeling of participants' interactions in online communities became an appealing research area. However, there are multiple factors that need to be taken into consideration when analyzing online communities, including participants' social-cognitive profiles, as well as underlying interaction patterns. the focus of this research is to introduce an integrated approach based on our ReaderBench framework together with novel comprehensive sociograms in order to analyze the interactions between participants. In addition, we perform an automated identification of underlying social-cognitive structures by applying a hierarchical clustering algorithm based on Cohesion Network Analysis (CNA) participation indices. In addition, the Actor Model from the AKKA framework was used for the parallel processing of discussions threads. In order to argue for the adequacy of the introduced mechanisms, we selected two complementary communities and we provide extensive visualizations, together with key remarks derived from the observed interaction patterns.

关键词： online communities sociograms and user interactions participant clustering AKKA parallel computing

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On computing Solutions of Linear Diophantine Equations with One Non-linear Parameter

On Computing Solutions of Linear Diophantine Equations with ...

引用

10th international symposium on symbolic and numeric algorithms for scientific computing

作者： Groesslinger, Armin Schuster, Stefan Univ Passau Dept Math & Informat D-94030 Passau Germany

ISBN: (纸本)9780769535234

We present an algorithm for solving Diophantine equations which are linear in the variables, but non-linear in one parameter. We are looking for the pointwise solutions, i.e., the solutions for the unknowns in dependence of the value of the parameter. Solving Diophantine equations is central to computing the data dependences of certain codes (loops with certain array accesses) which often occur in scientific computing. Our algorithm enables the computation of data dependences in more general situations than is possible with current algorithms.

关键词： linear diophantine equations non-linear parameter quasi-polynomials automatic loop parallelization polyhedron model

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the Flexiformalist Manifesto 14th

The Flexiformalist Manifesto

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14th international symposium on symbolic and numeric algorithms for scientific computing (SYNASC)

作者： Kohlhase, Michael Jacobs Univ Bremen Bremen Germany

ISBN: (纸本)9780769549347;9781467350266

In this manifesto, we develop the "Flexiformalist Program". this may be thought of as a modern extension of Hilbert's "Formalist Program", which solved the foundational crisis of mathematics but remained purely theoretical: Even though formal representations are a prerequisite for computer support in mathematics, formalization is a possibility that is usually unconsummated and thus does not have any practical influence on day-to-day mathematics. the Flexiformalist Program aims to change this and calls for 1. the development of a regime of partially formalizing a. mathematical knowledge into a modular ontology of mathematical theories (content commons), and b. mathematical documents by semantic annotations and links into the content commons (semantic documents), 2. the establishment of a software infrastructure with a. a distributed network of archives that manage the content commons and collections of semantic documents, b. semantic web services that perform tasks to support current and future mathematic practices c. active document players that present semantic documents to readers and give access to respective 3. the re-development of a comprehensive part of mathematical knowledge and the mathematical documents that carries it into a flexiformal digital library of mathematics (FDLM). We believe that such a flexiformal digital library will significantly empower mathematicians, scientists, and engineers in research, education, and application. Our experiences with early approximations of the FDLM show that the approach can be profitably transferred to other domains in science, technology, and engineering.

关键词： Web services digital libraries document handling mathematics computing semantic Web

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