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The Web of Mathematical Models: A Schema-based, Wiki-like, Interactive Platform Thomas Grundmann, Jean-Marie Gaillourdet, Karsten Schmidt, Arnd Poetzsch-Heffter, Stefan Deloch and Martin Memmel MathWikis, Nijmegen, 2011 Outline

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The Web of Mathematical Models: A Schema-based, Wiki-like, Interactive Platform

Thomas Grundmann, Jean-Marie Gaillourdet, Karsten Schmidt, Arnd Poetzsch-Heffter, Stefan Deßloch and Martin Memmel MathWikis, Nijmegen, 2011

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Outline

  • Introduction

– Motivation – Definition of Model – Goals / Vision for the “Web of Models”

  • Current State

– Demonstration – Architecture – XModel Schema

  • Outlook

27.08.2011 2 / 17 ITP MathWikis Workshop, Nijmegen

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Introduction

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What is a Model?

27.08.2011 4 / 17 ITP MathWikis Workshop, Nijmegen

A mathematical model is “a representation

  • f the essential aspects of an existing

system (or a system to be constructed) which presents knowledge of that system in usable form”. Pieter Eykhoff (1974)

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What is a Model?

  • Descriptive models

– Explain aspects of existing systems – Physical, sociological, or economical systems

  • Constructive models

– Describe systems to be constructed as part of

engineering tasks or processes

  • Abstract models

– Model a certain class of phenomena – Not (yet) applied to a specific system

27.08.2011 5 / 17 ITP MathWikis Workshop, Nijmegen

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Goals and Vision

  • Repository of mathematical models

– Well-structured representation – Formally defined – Visualizations – model-specifc simulations – Searchable (by categories, keyword, etc.) – Accessible and editable via the Web – Composition of models

27.08.2011 6 / 17 ITP MathWikis Workshop, Nijmegen

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Goals and Vision

  • Support for

– Interactive creation, publishing and

maintaining of models

– Building a community – Quality evaluation of models

27.08.2011 7 / 17 ITP MathWikis Workshop, Nijmegen

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Current State

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Architecture

27.08.2011 9 / 17 ITP MathWikis Workshop, Nijmegen

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The XModel Schema

27.08.2011 10 / 17 ITP MathWikis Workshop, Nijmegen

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XModel: formal description

27.08.2011 11 / 17 ITP MathWikis Workshop, Nijmegen

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XModel: simulation

27.08.2011 12 / 17 ITP MathWikis Workshop, Nijmegen

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XModel: metadata

27.08.2011 13 / 17 ITP MathWikis Workshop, Nijmegen

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XModel: Processing chain

27.08.2011 14 / 17 ITP MathWikis Workshop, Nijmegen

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Outlook

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Outlook

  • Going online in Oktober 2011
  • Building a user community

– Increase the number of models

  • Improve the platform

– Better integration of simulations – Supporting external simulations

  • Long term goal:

– Composition of models

27.08.2011 16 / 17 ITP MathWikis Workshop, Nijmegen

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Thanks! Questions?