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〈応用代数・数理結晶学〉
Showing the original Japanese · View translation
格子や点の配置を数学で扱い、結晶の解析も手がける研究室。

AboutAbout the lab
離散構造に対するアルゴリズムを開発する。
富安亮子教授の
研究の
数理結晶学の
数学の
Key terms
- 格子
- 空間に
規則正しく 並んだ点の 集まり。 結晶の 格子の 解析で 扱う 対象 - 数理結晶
学 - 結晶の
構造を 調べる 結晶学の 問題を、 数学の 手法で 扱う 分野 - 半正定値計画緩和法
- 2次式で
表せる 最適化問題の、 全体で いちばんよい解を 求める 方法。 凸最適化の 一つ
NewsLab news
黄金角の
方法を 一般化した 論文が、 Constructive Approximation に 掲載 格子基底簡約理論を
解説した 論文が、 Acta Crystallographica Section A に 掲載 トポグラフを
用いた 指数付けの 解説記事が、 日本結晶 学会誌に 掲載
ResearchResearch themes
格子や点の
*Illustrative image曲面・多様体上のパッキング生成
18世紀から
*Illustrative imageノイズを考慮した代数計算とフーリエ解析
代数計算は
*Illustrative image結晶・磁気構造解析の数理
凸最適化の
MembersFaculty
- Professor富安 亮子
VoicesStudent voices
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〈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: “Simple Cubic Lattice (Brillouin zone)” Auro69 at en.wikipedia / Public domain (cropped)
- 曲面・
多様体上の パッキング生成: “Trasformazione madre” Hasanisawi / CC BY-SA 4.0 (cropped) - ノイズを
考慮した 代数計算と フーリエ解析: “Optical diffraction pattern ( laser), (analogous to X-ray crystallography)” Natural Philo / CC BY-SA 3.0 (cropped) - 結晶・磁気構造解析の
数理: “Penroseite crystal structure (Furuseth-Kjekshus-Andresen 1969) along a axis” Ra'ike (Wikipedia) / CC0 (cropped) - Related lab (応用代数・数理結晶
学 (富安 (大石) 亮子) ): “Rendering of quasicrystal structure” LinKayser / CC BY-SA 4.0 (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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