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The Harmony of Modern Industry and Grobner Basis, Computational Approach

This group (computational approach) studies mathematical algorithms and implementations on Grobner basis and related areas. In order to spread our ideas as fundamentals of the modern industry, we will provide software, documents, and integrated environments based on our researches.
Mid term goal:
We think that the next generation of mathematical software is an integrated environment of software, documents, thinking tools, and books. Expert systems on several problems should also be integrated in this enviroment. Knoppix/Math is a desktop environment developed with this architecture, but the integration with documents, books, and expert systems has not yet been acomplished. We will improve or create several expert systems based on Grobner basis computations and also provide a prototype of an integrated enviroment of the next generation. We will publish a book which explains theory, application and computation of Grobner basis with this prototype. We hope that this book with software systems is a good introduction to scientists and engineers who work in several areas including clinical testing and designs of experiments.



News

  1. 2011.09. Groebner dojo (a book, in Japanese) is published.
  2. 2010.07. "The Harmony of Grobner Basis and Modern Industry": videos (streaming only), videos (downloadable), slides .
  3. 2010.03.02. Debian package openxm 1.3.1-4 is released here .
  4. 2010.03.02. Crest Grobner School 2009 (Lectures in streaming, in Japanese) here
News Archive

Core members

  1. Nobuki Takayama (group leader/ Department of Mathematics, Kobe University)
  2. Masayuki Noro (Department of Mathematics, Kobe University)
  3. Tatsuyoshi Hamada (Department of Applied Mathematics, Fukuoka University)
These core members and joint researchers including graduate students are working for this project.

Links

  1. Team Hibi, crest2008
  2. Knoppix/Math project
  3. OpenXM project
  4. VMware/Knoppix/Math
  5. Groebner dojo (book, in Japanese) Groebner Basis, Statistics, and Software Systems.