Upgrade to Pro
— share decks privately, control downloads, hide ads and more …
Speaker Deck
Sign up for free
Menu
Search
Features
All features
Private URLs
Password Protection
Custom URLS
Scheduled publishing
Remove Branding
Restrict embedding
Deck Collections
Notes
Features
All features
Private URLs
Password Protection
Custom URLS
Scheduled publishing
Remove Branding
Restrict embedding
Deck Collections
Notes
Explore
Featured decks
Featured speakers
Programming
Technology
Storyboards
Explore
Featured decks
Featured speakers
Programming
Technology
Storyboards
Pricing
Search
Sign in
Sign up for free
Reduceを使った定理証明 〜 グレブナー基底を添えて 〜
Search
Qiushi Pan
December 10, 2018
Science
190
0
Share
Embed
Copy iframe code
Copy JS code
Copy link
Start on current slide
Reduceを使った定理証明 〜 グレブナー基底を添えて 〜
主専攻実習,定理証明グループ最終発表スライド.Reduceを使った定理証明の解説を,グレブナー基底から,具体的な定理で証明するまで.
Qiushi Pan
December 10, 2018
More Decks by Qiushi Pan
See All by Qiushi Pan
応答例を見ながらの キャラ性格チューニング
qqpann
0
150
[ICCE2021] Prior Knowledge on the Dynamics of Skill Acquisition Improves Deep Knowledge Tracing
qqpann
1
110
卒業研究最終発表
qqpann
1
100
[卒論中間発表] Encoder-Decoder DKTと中間表現の分析
qqpann
0
110
[卒論着手発表] Autoencoderによる半教師あり学習と中間表現の分析
qqpann
1
480
Other Decks in Science
See All in Science
O(log n)-Approximation Algorithms for Bipartiteness Ratio
tasusu
0
260
機械学習 - SVM
trycycle
PRO
2
1.3k
Leitner Inauguration Lecture Chalmers University of Technology
xleitix
0
380
明治薬科大学講義_ビッグデータ解析を支えるデータベース技術とクラウドコンピューティング
ktatsuya
1
200
データベース05: SQL(2/3) 結合質問
trycycle
PRO
0
1.4k
[Webinaire InnOvin] Coup de Chaud : Comment préserver la santé des animaux
institutdelelevage
PRO
0
220
How a camera trap data standard enabled an ecosystem of interoperable tools
peterdesmet
0
140
言葉をはかる:テキストマイニング入門①講義編
satocos135
0
270
Webinaire : Valorisez les résultats de vos projets européens avec EU-FarmBook
institutdelelevage
PRO
0
170
[NLP2026 参加報告会] AI for Science まとめ / NLP2026
lychee1223
0
2k
Van Dare naar Durf
voginip
0
310
Génétique moléculaire de la mortalité
institutdelelevage
PRO
0
190
Featured
See All Featured
Connecting the Dots Between Site Speed, User Experience & Your Business [WebExpo 2025]
tammyeverts
11
1.1k
Build The Right Thing And Hit Your Dates
maggiecrowley
39
3.5k
We Analyzed 250 Million AI Search Results: Here's What I Found
joshbly
2
2k
Google's AI Overviews - The New Search
badams
0
1.6k
Git: the NoSQL Database
bkeepers
PRO
433
67k
Navigating the moral maze — ethical principles for Al-driven product design
skipperchong
2
610
For a Future-Friendly Web
brad_frost
184
10k
Information Architects: The Missing Link in Design Systems
soysaucechin
1
1.2k
How STYLIGHT went responsive
nonsquared
100
6.3k
The Art of Delivering Value - GDevCon NA Keynote
reverentgeek
16
2.2k
SEOcharity - Dark patterns in SEO and UX: How to avoid them and build a more ethical web
sarafernandez
0
300
Leveraging LLMs for student feedback in introductory data science courses - posit::conf(2025)
minecr
1
430
Transcript
ఆཧূ໌άϧʔϓ 5IFPSFN1SPWJOH1SBDUJDF !RRIBOO
શମઆ໌
ϓϩάϥϜͰఆཧূ໌ʁ w ͦΕͬͯͲ͏Δͷʁ͓͍͍͠ͷʁ w ԾఆΛஔ͍ͨ࣌ʹɼ͕݁ਖ਼͍͜͠ͱΛࣔͤΕྑ͍ɽ
४උάϨϒφʔجఈ w ํఔࣜ !" , … , !% → άϨϒφʔجఈ
'" , … , '( w ํఔࣜΛղ͖͍͢ܗʹมͨ͠ͷ w ଟมଟ߲ࣜͷআࢉ ֤εςοϓΛ؆ͱΈͳ͢ ʢ.؆ SFEVDJUPO PG.VMUJQMFTʣ
४උΠσΞϧ w ՄRͷΠσΞϧI Rؚ͕ΉIͰҎԼΛຬͨ͢ͷ i) %, ' ∈ ) ⟹
% ± ' ∈ ) ii) % ∈ ), , ∈ - ⟹ %, ∈ ) w ྫɿ R = ℤ, I={3} 3) 34 ± 35 = 3 4 ± 5 33) 34 5 = 3(45)
w ΠσΞϧ ͷഒ Λ 3 ͱॻ͘ɽ 9 ∈ (3) 8
∉ 3 9 ÷ 3 = 3 ⋯ 0 ͷഒ 8 ÷ 3 = 2 ⋯ 2 ͷഒͰͳ͍ w Ծఆ-. , … , -1 ݁ 2 2 34,…,35 0 ͳΒ 2 ∈ -. , … , -1 Γཱͭอূ͕ͳ͍㱺άϨϒφʔجఈ ℎ. , … , ℎ7 ʹ࡞ Γม͑Δ 2 84,…,89 0 ͳΒ 2 ∈ -. , … , -1 ఆཧΛࣔ͢खॱ
ఆཧূ໌ ʰϞϊάϥϑ زԿֶʱ ݈ଠɼਗ਼ٶढ़༤ɽ Qͷఆཧ
ʮఆཧ ਖ਼ํܗ"#$%ͷล$%্ͷΛ&ͱ͢Δɽ&͔Β "$ʹԼΖͨ͠ਨઢͷΛ1ͱ͠ɼ$͔Β"&ʹԼΖͨ͠ ਨઢͷΛ2ͱ͢Δͱɼ# 1 2ઢ্ʹ͋Δʯ
w ʮఆཧ ਖ਼ํܗ"#$%ͷล$%্ͷΛ&ͱ͢Δɽ&͔Β "$ʹԼΖͨ͠ਨઢͷΛ1ͱ͠ɼ$͔Β"&ʹԼΖͨ͠ ਨઢͷΛ2ͱ͢Δͱɼ# 1 2ઢ্ʹ͋Δʯ w Ծఆ ☐ABCD
C−D−E AC ⊥ EP A−C−P AE ⊥ CQ A−E−Q ݁ B−P−Q
w Ծఆ ☐ABCD C−D−E AC ⊥ EP A−C−P AE ⊥
CQ A−E−Q ݁ B−P−Q w *+ ࣗ༝ͳ ,+ ଞͷʹਵ ܾͯ͠·Δ (0, 0) (*1 , 0) (0, −*1 ) (*1 , −*1 ) (*1 , *2 ) (,3 , ,4 ) (,1 , ,2 )
w Ծఆ ☐ABCDʜࣗ໌ C−D−Eʜࣗ໌ AC ⊥ EP ʜ)* A−C−P ʜ)+
AE ⊥ CQ ʜ)- A−E−Q ʜ). ݁ B−P−Q ʜ/ 3FEVDFϓϩάϥϜ
! "#,…,"& 0 ͱͳͬͨɽ Αͬͯ ! ∈ )* , …
, )+ ఆཧূ໌͞Εͨɽ 3FEVDFϓϩάϥϜ࣮ߦ݁Ռ