Construction - Classification of weighing matrices and its applications
Grant-in-Aid for Scientific Research (C)
|Allocation Type||Single-year Grants|
General mathematics (including Probability theory/Statistical mathematics)
|Research Institution||Ehime University|
OHMORI Hiroyuki Ehime Univ., Fac.Ed., Professor, 教育学部, 教授 (20036370)
HIRATA Kouichi Ehime Univ, Fac.Ed., Professor, 教育学部, 教授 (80173235)
OKAMOTO Toshiaki Ehime Univ., Fac.Ed., Associate Professor, 教育学部, 助教授 (50036414)
SHIRAKURA Teruhiro Kobe Univ., Human Development, Professor, 発達科学部, 教授 (30033913)
|Project Period (FY)
2002 – 2004
Completed(Fiscal Year 2004)
|Budget Amount *help
¥3,400,000 (Direct Cost : ¥3,400,000)
Fiscal Year 2004 : ¥800,000 (Direct Cost : ¥800,000)
Fiscal Year 2003 : ¥900,000 (Direct Cost : ¥900,000)
Fiscal Year 2002 : ¥1,700,000 (Direct Cost : ¥1,700,000)
|Keywords||weighing matrix / factorial design / search design / MEP.3 plan / homotopy / origami / convex polyhedron / convex polygon / weghing matrix / Hadamard matrix / convex development / Weighing matrix / Search design / MEP.3 Plan / balanced array / enumeration on graphs|
Results in 2002
In the paper : Construction of main effect plus two plans, the authors discuss about search designs. They constructed a flexible main effect plus two plan (MEP2 plan) which is able to search three unknown two interactions for 2^m factorials (m>3).
In the paper : Spaces of polynomials without 3-fold real roots, the authors discuss the homotopy types of spaces which are consisting of all monic polynomials of degree d having no real roots of multiplicity >n. They study characterized the homotopy types of the spaces for the case n=3.
Result in 2003
In the paper-rittai origami(written in Japanese), the author discuss the problem which makes solid configuration by folding flat configurations. He classified infinite solid configurations into some non-isomorphic series and discuss about flat configurations which are not able to construct a solid configuration.
Results in 2004
The paper : Model identification using search linear models and search designs is in an specific book, which is written with two other collaborators about factorial design. The author presents the details about search designs in factorial experiments.
In the paper : On convex developments of a doubly-covered square, the authors give an algebraic characterization of all convex polygons that are 2-flat foldable to a square, that is, they determine all shapes of convex developments of a doubly-covered square.
In the paper : Flat 2-foldings of convex polygons, the authors determine, for any n, all the possible flat 2-foldings of a regular n-gon, and discuss the set of polygons that are flat 2-foldable to regular polygones
The book : Toukeigaku nyuumonn (in Japanese) is an expository book containing applications of weighing matrices in contents of the experimental designs.
Research Products (22results)