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Construction - Classification of weighing matrices and its applications

构造-称重矩阵的分类及其应用

基本信息

批准号：
14540123
负责人：
OHMORI Hiroyuki
金额：
$ 2.18万
依托单位：
Ehime University
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
2002
资助国家：
日本
起止时间：
2002 至 2004
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-14540123/
关键词：
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

项目摘要

Results in 2002In 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 2003In 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 2004The 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 polygonesThe book : Toukeigaku nyuumonn (in Japanese) is an expository book containing applications of weighing matrices in contents of the experimental designs.

结果2002年“主效构建加两个方案”中，作者对搜索设计进行了讨论。他们构造了一个灵活的主效应加两个方案(MEP2方案)，该方案能够搜索2^m阶乘(m&gt；3)的三个未知的两个相互作用。在不含3重实根的多项式空间中，讨论了由所有d次无实根的一次多项式组成的空间的同伦型&gt；n。他们刻画了n=3情形下空间的同伦型。结果在2003年，作者讨论了由折叠平坦构型构成立体构形的问题。他将无限大的立体构型归类为一些非同构的系列，并讨论了不能构造固体构型的平面构型。结果2004年的论文：基于搜索线性模型和搜索设计的模型辨识在一本专著中，这本书是与另外两位合作者合著的关于析因设计的。给出了析因试验中搜索设计的详细内容.在二重复盖正方形的凸展式上，给出了所有2-平坦可折叠为正方形的凸多边形的代数刻画，即它们决定了二重复盖正方形的凸展开式的所有形状.本文确定了对任意n，正n边形的所有可能的平坦2-折叠，并讨论了平面2折叠到正多边形的多边形集。这本书：Toukeigaku nyuumonn(日文)是一本说明性书籍，包含了加权矩阵在实验设计内容中的应用。

项目成果

期刊论文数量（22）

专著数量（0）

科研奖励数量（0）

会议论文数量（0）

专利数量（0）

Model identification using search linear models and search designs

使用搜索线性模型和搜索设计进行模型识别

DOI：
发表时间：
2007
期刊：
The series Bollyai Mathematical Studies (Janos Bolyai Math. Soc.) (Springer) 1
影响因子：
0
作者：
K.Sakamoto;H.Suzuki;Shinji Kuriki;Teruhiro Shirakura
通讯作者：
Teruhiro Shirakura

田沢新成, 白倉暉弘, 田村三郎: "やさしいグラフ理論"現代数学社. 222 (2003)

Shinsei Tazawa、Akihiro Shirakura、Saburo Tamura：《简单图论》Gendai Mathisha 222 (2003)。