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Computer Algebra Lab
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A lab that uses computers to calculate mathematical expressions and solve wasan (traditional Japanese mathematics) geometry problems.
AboutAbout the lab
Calculating formulas to solve geometry problems.
The Computer Algebra Lab studies computer algebra, which is the algorithms for handling mathematical expressions on computers, and its applications.
One application is research that revisits computational geometry problems from wasan (traditional Japanese mathematics) and solves them again with modern computer algebra.
For example, for polygons inscribed in a circle, the lab derives by computation formulas that express the radius and area of the circumscribed circle in terms of the side lengths.
In the course "Theory of Computer Algebra Systems" in the School of Informatics, College of Media Arts, Science and Technology, students learn algebraic computation algorithms using computer algebra software, and their application to computational geometry.
Key terms
- Computer algebra
- A technology for computing mathematical expressions on a computer as expressions, without converting them to numerical values. It uses algebraic computation algorithms.
- Computational geometry
- A field that deals with problems about shapes by computation. In this lab, these problems are solved with computer algebra.
- Elimination
- A computation that removes variables from expressions to leave expressions in only the necessary variables. The method using resultants is also important in computer algebra.
ResearchResearch themes
The lab studies computer algebra algorithms and their applications. One application is to revisit computational geometry problems treated in wasan (traditional Japanese mathematics) and solve them again with modern computer algebra.
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MembersFaculty
- ProfessorShuichi Moritsugu
VoicesStudent voices
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Report an errorAbout the images
The top and research theme images are illustrative and were not taken at the lab. They are cropped from Wikimedia Commons images. Cropped CC BY-SA images are provided under the same CC BY-SA license as the original (version shown on each line).
- Top image: “Computer algebra system” MalteFilmFan / CC BY-SA 4.0 (cropped)
- Solving wasan geometry problems with computer algebra: “Kaisan Jingouki” Momotarou2012 / CC BY-SA 3.0 (cropped)
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