Math

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MathIndustry Sharing knowledge betweeen
mathematics and industry

• Robert Roggenbuck
• Wolfram Sperber
• IuK 2003 Sharing Knowledge Scientific
  Communication

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Agenda

• Introduction
• Presentation of applied mathematics
• The MathIndustry project Aims
• An example
• Structuring of information
• The MathIndustry-Page
• Metadata
• The WebSiteMaker
• About the central portal

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Introduction

• Applied mathematics plays an important role to
  understand mathematics
• Mathematics is used in a lot of application
  fields and a tool to solve problems for a long
  time ago.
• It is a good way for non-mathematicians to
  understand what mathematics is doing to study
  the use of mathematics in applications

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Agenda

• Introduction
• Presentation of applied mathematics
• The MathIndustry project Aims
• An example
• Structuring of information
• The MathIndustry-Page
• Metadata
• The WebSiteMaker
• About the central portal

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The BMBF programs in mathematics

• sponsoring of more than 150 projects in applied
  mathematics at german research institutions and
  companies
• three programs 1993 - 1997 1997 - 2001 2001
  2004
• a fourth program will start 2004 (currently
  call for participation)

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Presentation of the projects the print version
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Comments

• Difficulties for the presentation of applied
  mathematics
• Classification of projects (by mathematics,
  by application fields?)
• What is with multimedia-based information, e.g.,
  visualization, software, ...?
• time delay, updating of printed information

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Advantages of the Web

• Potential advantages of the Web
• Web is multimedia-based, software,
  visualisations, simulations, demos,
  interactive presentations, ... )
• several communities can be addressed
  (developers, ingeneers, managers, students,
  mathematicians in industry and services or in
  research institutions)I
• local management and updating of information
• central services provide an added value

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Up to the MathIndustry

• In the past, the Web presentation of the BMBF
  programs in mathematics was restricted to
• general information about the program
• information about the status seminars
• a list of the projects
• this is not enough to provide a
  comprehensive view about the objectives
  and aims of the projects

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Agenda

• Introduction
• Presentation of applied mathematics
• The MathIndustry project Aims
• An example
• Structuring of information
• The MathIndustry-Page
• Metadata
• The WebSiteMaker
• About the central portal

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Main aims of the project MathIndustry

• development of a concept for a comprehensive,
  high-quality and standardized Web presentation
  projects of projects in applied mathematics
• main requirements
• user-friendly,
• efficient access to the information of projects,
• flexible,
• long-term stable.
• implementation of the concept within the BMBF
  programs in applied mathematics

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Project data

• start of the project 2001-09-01
• Participating institutions
• ZIB Berlin (project office, management, pilot
  user)
• IWI Osnabrück (technical development)
• IWR Heidelberg (pilot user)
• Uni Freiburg (pilot user)

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dezentral architecture (the Math-Net principle)
central components of MathIndustry
Web site project 2
Web site project 1
Web site project n
...
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Local Web sites

• Tasks
• to provide information about projects in a
  standardized form
• uniform structure of the project information
• comprehensive information about a project,
  particularly for users with non-mathematical
  background
• enrichment of information by metadata, allowing
  to process the information by machines

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Central components

• Central portal http//www.mathematik-21.de
• Gathering and processing of the local
  information (particularly of the metadata)
• Services, which provide different views to the
  information of projects
• Development of ontologies (to define the
  relations real problems - modelling -
  mathematical aspects)
• Archiving of finished projects

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Agenda

• Introduction
• Presentation of applied mathematics
• The MathIndustry project Aims
• An example
• Structuring of information
• The MathIndustry-Page
• Metadata
• The WebSiteMaker
• About the central portal

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Presentation of projects in the Web?Example
Umlaufplanung
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A first summary

• each project has a lot of relevant information
• the problem and the aims
• the modeling of the problem
• the mathematical approach
• results and products
• administrative data
• to present a mathematical project is much
  more than a single Web page!

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Agenda

• Introduction
• Presentation of applied mathematics
• The MathIndustry project Aims
• An example
• Structuring of information
• The MathIndustry-Page
• Metadata
• The WebSiteMaker
• About the central portal

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Aims

• the Web presentations of the projects are
  addressed particularly to engineers, managers,
  technicians, and mathematicians coming from
  industry and services (users, who work actively
  in this field and also users, who could be
  interested in this field)
• the presentations should be focused to the real
  problems and the results of a project
• the Web presentations should provide
• a fast overview about a project
• detailed information about special aspects of
  the problem and its solution

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Structure of Websites

• advantages of the standardization
• a easy navigation for the human user (uniform
  navigation within the Web presentation of a
  project)
• allows to process the information by machines
  ( ? better retrieval functionalities in the
  information space, defined by the Web
  presentations of the projects in the
  BMBF programs in mathematics)

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Structuring the project information (top level)

topic specific and mathematical modeling
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Groups and subgroups of the MathIndustry Page
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Groups and subgroups

• Participants (Beteiligte) Project officer /
  Associates (Projektverantwortliche
  /Mitarbeiter) Companies / Scientific
  institutions (Firmen / Wissenschaftliche
  Institutionen)
• The problem (Das Problem) Problem
  specification (Problembeschreibung) Glossary
  (Glossar) Related questions (Verwandte
  Fragestellungen)

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The groups and subgroups

• Models (Modelle) Modeling (Modellierung)
  Glossary (Glossar) Similar models
  (Ähnliche Modelle)
• Mathematical Aspects (Mathematische
  Behandlung) Mathematical Models
  (Mathematische Modelle) Mathematical methods
  and procedures (Mathematische Methoden und
  Verfahren) Publications (Publikationen)
  Software /Simulations (Software / Simulationen)
  Glossary (Glossar) Related mathematical
  problems (Ähnliche mathematische
  Probleme)

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Currently, the proposal is under discussion
(until end of March)

• problems
• names of the groups and subgroups
• redundance the contents of the groups may
  overlap
• assignment subgroups - groups

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Agenda

• Introduction
• Presentation of applied mathematics
• The MathIndustry project Aims
• An example
• Structuring of information
• The MathIndustry-Page
• Metadata
• The WebSiteMaker
• About the central portal

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The MathIndustry Page a local portal to the
information of a project

• Some comments
• The MathIndustry Page is a classification
  schema for the information of a project.
• the core of the MathIndustry Page the links
  to the information in the groups and subgroups
• further on the MathIndustry Page
• the title of the project
• in the future a navigation bar, linked to
  the central services of MathIndustry

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ExampleUmlaufplanungthe project page Über
das Projekt

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ExampleUmlaufplanungthe project page
Anwendungsszenarien
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• If the projects would reorganize its Web
  presentation in this way,
• then the information of the projects could be
  harvested and indexed according to this
  structure,
• then the central services could generate and
  manage various views over the projects, e.g.,
• a list of all projects, a list of all projects
  providing software, etc.
• an enhanced search (a search over the whole
  information space and also a search in the
  groups/subgroups of the MathIndustry Page)

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Agenda

• Introduction
• Presentation of applied mathematics
• The MathIndustry project Aims
• An example
• Structuring of information
• The MathIndustry-Page
• Metadata
• The WebSiteMaker
• About the central portal

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More semantic information about the single facts
of a project

• A more sophisticated access to the information
  requiresmore semantic annotation of the
  information a better semantic annotation of the
  contents of the groups and subgroups is needed
• This means standardization for the description
  of information for
• publications,
• persons,
• institutions,
• glossaries,
• ...

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The approach

• Question 1 What should be presented?
• structuring of information,
• fixing the vocabulary
• Question 2 How should the contents be
  presented?
• partly the Math-Net developments can be used

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Example data about publications

• Metadata
• Author
• Title
• URL
• Keywords
• Classification MSC, PACS, ....
• ...
• To do create the HTML pages and the
  according metadata

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Agenda

• Introduction
• Presentation of applied mathematics
• The MathIndustry project Aims
• An example
• Structuring of information
• The MathIndustry-Page
• Metadata
• The WebSiteMaker
• About the central portal

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The concept of the WebSiteMaker

• a tool to generate a complete Web presentation
  for a project
• two levels
• top level (choose the subgroup, for which a Web
  page should be generated)
• Subgroup level forms to create Web pages and
  the corresponding metadata

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Prototype of the WebSiteMakerthe start form
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Prototype of the WebSiteMakerproject data
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Prototype of the WebSiteMakerthe choice page
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Prototype of the WebSiteMakerThe PageMaker for
publications the start page
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Prototype of the WebSiteMaker The PageMaker for
publications the input form
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Prototype of the WebSiteMaker The PageMaker for
publications the generated Web page
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Prototype of the WebSiteMake
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Agenda

• Introduction
• Presentation of applied mathematics
• The MathIndustry project Aims
• An example
• Structuring of information
• The MathIndustry-Page
• Metadata
• The WebSiteMaker
• About the central portal

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The Search Services

• Lists of special subjects (e.g., projects,
  institutions)
• Simple fulltext query
• Field-specific queries (e.g., for document
  titles, names, organizations,...)
• Searching / browsing through a glossary

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The central portal - First steps More
information of projects http//www.mathematik-21.
de
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State of the art next steps

• currently test phase of the WebSiteMaker
• discussion and updating of the WebSiteMaker
• creating Web presentations of the projects
  according to the concept
• building up central services for MathIndustry

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Thanks!