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応用代数・数理結晶学（富安（大石） 亮子）
Showing the original Japanese · View translation
格子や点配置を数学で扱い、結晶の解析にも取り組む研究室。
AboutAbout the lab
代数や整数論を道具に、結晶の解析にも取り組む。
富安亮子教授の
道具は、
数値解析や、
研究室は、
Key terms
- 格子
- 空間に
規則正しく 並ぶ点の 集まり。 結晶の 原子の 周期的な 並びを 表すのにも 使う。 - パッキング
- 空間や
曲面の 上に 点を ほぼ均一に 詰めて 並べる、 配置の 仕方。 - 黄金角の
方法 - 黄金
角ずつ回しながら点を 置き、 植物の 葉や 種のような 配置を 作る 方法。 - 半正定値計画緩和法
- 2次式を
最小に する 問題の、 全体で 最も 良い 解を 求める 凸最適化の 方法。
NewsLab news
黄金角の
方法を 一般化した 論文が、 Constructive Approximation に 掲載 格子の
ブラベー類を 決定する 方法の 論文が、 Acta Cryst. A に 掲載 CONOGRAPH の
解説記事が、 日本結晶 学会誌に 掲載
ResearchResearch themes
格子や
*Illustrative image曲面や多様体のパッキング・メッシュ生成法
18世紀から
*Illustrative image観測誤差を考慮した代数計算・フーリエ解析
代数計算は
*Illustrative image物質構造解析の数理
凸最適化の
MembersFaculty
- Professor富安 亮子
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Write a lab reviewAnonymous · Your draft is saved if you stopRelatedLabs similar to 応用代数・数理結晶学（富安（大石） 亮子）
〈応用代数・数理結晶
〈位相幾何学・
位相幾何学・
〈確率論・ランダム点過程〉マス・フォア・インダストリ研究所 基礎理論研究部門確率論・ランダム点過程・ランダムトポロジー。The information on this page is compiled by the LabLog team from the lab's public information and interviews. For corrections or removal requests, please contact LabLog, not the lab.
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: “Rendering of quasicrystal structure” LinKayser / CC BY-SA 4.0 (cropped)
- 曲面や
多様体の パッキング・メッシュ生成法: “Subdivision surface of quadrilateral mesh level 3” Fredrik Orderud / Public domain (cropped) - 観測誤差を
考慮した 代数計算・フーリエ解析: “Fourier crater 4155 h3” James Stuby based on NASA image / CC0 (cropped) - 物質構造解析の
数理: “X-ray diffraction pattern 3clpro” Jeff Dahl / CC BY-SA 3.0 (cropped) - Related lab (〈応用代数・数理結晶
学〉): “Simple Cubic Lattice (Brillouin zone)” Auro69 at en.wikipedia / Public domain (cropped) - Related lab (〈位相幾何学・
特異点論〉): “Linkedin maps data visualization” Luc Legay / CC BY-SA 4.0 (cropped) - Related lab (位相幾何学・
特異点論 （佐伯 修） ): “Bastard Weaver s Knot diagram-removebg-preview” Zaripov999 / CC BY-SA 4.0 (cropped) - Related lab (〈確率論・ランダム点過程〉): “A boolean model” Tensorproduct / CC BY-SA 4.0 (cropped)
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