Upgrade to Pro
— share decks privately, control downloads, hide ads and more …
Speaker Deck
Features
Speaker Deck
PRO
Sign in
Sign up for free
Search
Search
粒子法について その2
Search
touyou
May 17, 2018
Programming
1
93
粒子法について その2
粒子法について その1の続編です。半陰解法から陽解法で変わる点、および並列化に役立つ手法を紹介しています。
touyou
May 17, 2018
Tweet
Share
More Decks by touyou
See All by touyou
Liquid GlassとApp Intents
touyou
0
810
生成AI時代のコンポーネントライブラリの作り方
touyou
1
1.2k
生成AI活用プロダクトが目指してほしい未来
touyou
0
2.9k
メンター百物語 紡ぎ続けられる確かな情熱
touyou
0
390
これからの時代の『クリエイター』の生き方
touyou
0
90
しくじり先生〜とうようがLeaders7期生からL4S7期講師になるまでのプログラミング半生を振り返る
touyou
0
140
AWSサーバーレスが支える劇団ノーミーツのオンライン劇場ZA / AWS Dev Day Online 2021 C-5
touyou
0
2.8k
3年A組から学ぶ体験の作り方
touyou
0
2.3k
學問のすすめ
touyou
0
1.2k
Other Decks in Programming
See All in Programming
LLM Observabilityによる 対話型音声AIアプリケーションの安定運用
gekko0114
2
430
MDN Web Docs に日本語翻訳でコントリビュート
ohmori_yusuke
0
650
CSC307 Lecture 05
javiergs
PRO
0
500
CSC307 Lecture 10
javiergs
PRO
1
660
なるべく楽してバックエンドに型をつけたい!(楽とは言ってない)
hibiki_cube
0
140
React 19でつくる「気持ちいいUI」- 楽観的UIのすすめ
himorishige
11
7.4k
AIによる高速開発をどう制御するか? ガードレール設置で開発速度と品質を両立させたチームの事例
tonkotsuboy_com
7
2.4k
dchart: charts from deck markup
ajstarks
3
1k
Architectural Extensions
denyspoltorak
0
290
Fluid Templating in TYPO3 14
s2b
0
130
[KNOTS 2026登壇資料]AIで拡張‧交差する プロダクト開発のプロセス および携わるメンバーの役割
hisatake
0
290
AIと一緒にレガシーに向き合ってみた
nyafunta9858
0
250
Featured
See All Featured
I Don’t Have Time: Getting Over the Fear to Launch Your Podcast
jcasabona
34
2.6k
Chasing Engaging Ingredients in Design
codingconduct
0
110
From Legacy to Launchpad: Building Startup-Ready Communities
dugsong
0
140
Code Review Best Practice
trishagee
74
20k
Max Prin - Stacking Signals: How International SEO Comes Together (And Falls Apart)
techseoconnect
PRO
0
86
Leading Effective Engineering Teams in the AI Era
addyosmani
9
1.6k
[SF Ruby Conf 2025] Rails X
palkan
1
760
Paper Plane (Part 1)
katiecoart
PRO
0
4.3k
The AI Search Optimization Roadmap by Aleyda Solis
aleyda
1
5.2k
AI Search: Where Are We & What Can We Do About It?
aleyda
0
7k
Side Projects
sachag
455
43k
The Director’s Chair: Orchestrating AI for Truly Effective Learning
tmiket
1
97
Transcript
ཻࢠ๏ೖ ͦͷ̎
ɾ̏ষʜ༷ʑͳԠ༻ྫ ɾ̐ষʜฒྻԽʹؔͯ͠ ཻࢠ๏ೖ ཻࢠ๏ೖͦͷ̎
φϏΤετʔΫεํఔࣜ ɾྲྀମͷӡಈํఔࣜ ɾV͕ɺH͕ॏྗՃ ɾЛ͕ີɺӈลͷୈೋ߲೪ੑ߲ Du Dt = 1 ⇢0 rP
+ ⌫r2u + g <latexit sha1_base64="yKPKKX6ok3LUNzgZae4Payddraw=">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</latexit> <latexit sha1_base64="yKPKKX6ok3LUNzgZae4Payddraw=">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</latexit> <latexit sha1_base64="yKPKKX6ok3LUNzgZae4Payddraw=">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</latexit> <latexit sha1_base64="yKPKKX6ok3LUNzgZae4Payddraw=">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</latexit>
ɾද໘ுྗ ɾߴ೪ੑྲྀମ ɾඇχϡʔτϯྲྀମ ɾཚྲྀ ɾϙϦΰϯน ൃలతػೳ ཻࢠ๏ೖͦͷ̎
ɾѹྗͷܭࢉཅղ๏Ͱߦ͏ ˣ ɾೖͷΈͰܭࢉՄೳ ˣ ɾฒྻԽ͕࣮͘͢͠ߦ͕͍࣌ؒ ཅղ๏ ཻࢠ๏ೖͦͷ̎
ཅղ๏ͷ֓ཁ ཻࢠ๏ೖͦͷ̎
ɾ৽͍͠ࢧํఔࣜ ɾDԻ ཅղ๏ͷ֓ཁ ཻࢠ๏ೖͦͷ̎ @P @⇢ = c2 <latexit sha1_base64="qdR5EHiA5ZlZQedVOGBa2v7hgvk=">AAACHHicbVDLSgMxFM34rPVVdekmWARXZaYIuhGKblxWsA/ojCWTZtrQPIYkI5RhPsCf8Bfc6t6duBXc+iVm2kG09UDgcM65uckJY0a1cd1PZ2l5ZXVtvbRR3tza3tmt7O23tUwUJi0smVTdEGnCqCAtQw0j3VgRxENGOuH4Kvc790RpKsWtmcQk4GgoaEQxMlbqV6p+pBBO/RgpQxGDzeyH+2okswt8V7cpt+ZOAReJV5AqKNDsV778gcQJJ8JghrTueW5sgjS/FjOSlf1EkxjhMRqSnqUCcaKDdPqZDB5bZQAjqewRBk7V3xMp4lpPeGiTHJmRnvdy8V8v5HObTXQepFTEiSECzxZHCYNGwrwpOKCKYMMmliCsqH07xCNk2zK2z7ItxZuvYJG06zXPrXk3p9XGZVFPCRyCI3ACPHAGGuAaNEELYPAAnsAzeHEenVfnzXmfRZecYuYA/IHz8Q1q7aJu</latexit>
<latexit sha1_base64="qdR5EHiA5ZlZQedVOGBa2v7hgvk=">AAACHHicbVDLSgMxFM34rPVVdekmWARXZaYIuhGKblxWsA/ojCWTZtrQPIYkI5RhPsCf8Bfc6t6duBXc+iVm2kG09UDgcM65uckJY0a1cd1PZ2l5ZXVtvbRR3tza3tmt7O23tUwUJi0smVTdEGnCqCAtQw0j3VgRxENGOuH4Kvc790RpKsWtmcQk4GgoaEQxMlbqV6p+pBBO/RgpQxGDzeyH+2okswt8V7cpt+ZOAReJV5AqKNDsV778gcQJJ8JghrTueW5sgjS/FjOSlf1EkxjhMRqSnqUCcaKDdPqZDB5bZQAjqewRBk7V3xMp4lpPeGiTHJmRnvdy8V8v5HObTXQepFTEiSECzxZHCYNGwrwpOKCKYMMmliCsqH07xCNk2zK2z7ItxZuvYJG06zXPrXk3p9XGZVFPCRyCI3ACPHAGGuAaNEELYPAAnsAzeHEenVfnzXmfRZecYuYA/IHz8Q1q7aJu</latexit> <latexit sha1_base64="qdR5EHiA5ZlZQedVOGBa2v7hgvk=">AAACHHicbVDLSgMxFM34rPVVdekmWARXZaYIuhGKblxWsA/ojCWTZtrQPIYkI5RhPsCf8Bfc6t6duBXc+iVm2kG09UDgcM65uckJY0a1cd1PZ2l5ZXVtvbRR3tza3tmt7O23tUwUJi0smVTdEGnCqCAtQw0j3VgRxENGOuH4Kvc790RpKsWtmcQk4GgoaEQxMlbqV6p+pBBO/RgpQxGDzeyH+2okswt8V7cpt+ZOAReJV5AqKNDsV778gcQJJ8JghrTueW5sgjS/FjOSlf1EkxjhMRqSnqUCcaKDdPqZDB5bZQAjqewRBk7V3xMp4lpPeGiTHJmRnvdy8V8v5HObTXQepFTEiSECzxZHCYNGwrwpOKCKYMMmliCsqH07xCNk2zK2z7ItxZuvYJG06zXPrXk3p9XGZVFPCRyCI3ACPHAGGuAaNEELYPAAnsAzeHEenVfnzXmfRZecYuYA/IHz8Q1q7aJu</latexit> <latexit sha1_base64="qdR5EHiA5ZlZQedVOGBa2v7hgvk=">AAACHHicbVDLSgMxFM34rPVVdekmWARXZaYIuhGKblxWsA/ojCWTZtrQPIYkI5RhPsCf8Bfc6t6duBXc+iVm2kG09UDgcM65uckJY0a1cd1PZ2l5ZXVtvbRR3tza3tmt7O23tUwUJi0smVTdEGnCqCAtQw0j3VgRxENGOuH4Kvc790RpKsWtmcQk4GgoaEQxMlbqV6p+pBBO/RgpQxGDzeyH+2okswt8V7cpt+ZOAReJV5AqKNDsV778gcQJJ8JghrTueW5sgjS/FjOSlf1EkxjhMRqSnqUCcaKDdPqZDB5bZQAjqewRBk7V3xMp4lpPeGiTHJmRnvdy8V8v5HObTXQepFTEiSECzxZHCYNGwrwpOKCKYMMmliCsqH07xCNk2zK2z7ItxZuvYJG06zXPrXk3p9XGZVFPCRyCI3ACPHAGGuAaNEELYPAAnsAzeHEenVfnzXmfRZecYuYA/IHz8Q1q7aJu</latexit>
มԽ͢Δͱ͜Ζ ཻࢠ๏ೖͦͷ̎ 1 ⇢0 2d 0n0 X j6=i Pk+1 j
Pk+1 i w(|r⇤ j r⇤ i |) = 1 t2 n⇤ i n0 n0 <latexit sha1_base64="KsBHfA3vE/j+/XdkySXMek/+q74=">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</latexit> <latexit sha1_base64="KsBHfA3vE/j+/XdkySXMek/+q74=">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</latexit> <latexit sha1_base64="KsBHfA3vE/j+/XdkySXMek/+q74=">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</latexit> <latexit sha1_base64="KsBHfA3vE/j+/XdkySXMek/+q74=">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</latexit>
มԽ͢Δͱ͜Ζ ཻࢠ๏ೖͦͷ̎ 1 ⇢0 2d 0n0 X j6=i Pk+1 j
Pk+1 i w(|r⇤ j r⇤ i |) = 1 t2 n⇤ i n0 n0 <latexit sha1_base64="KsBHfA3vE/j+/XdkySXMek/+q74=">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</latexit> <latexit sha1_base64="KsBHfA3vE/j+/XdkySXMek/+q74=">AAACk3icbVFda9swFJXdfXTZV9axp72IhY00I5kdCi2MQen6sJdBBktbqGMjy3KiRpJd6XojqP4j+2d73S+ZnBi2pbsgcXTuxxHnpqXgBoLgp+fv3Ll77/7ug87DR4+fPO0+2zszRaUpm9JCFPoiJYYJrtgUOAh2UWpGZCrYebr82OTPvzFteKG+wqpkM0nmiuecEnBU0v0xjHJNqA1rG+lFEQf15j3OHCHcnIzEgWpoU8nEXkWKXWNeR4Ll0J8kV7Fdvg3r4SThGxRpPl/A/vf+TZRKq2tXMRi2kMeDm/0Pf/ROmQCCIR63mioeJHzYiNnmSrq9YBSsA98GYQt6qI1J0v0VZQWtJFNABTHmMgxKmFmigVPB6k5UGVYSuiRzdumgIpKZmV17WOPXjslwXmh3FOA1+3eHJdKYlUxdpSSwMNu5hvxvLpVbypAfzSxXZQVM0Y1wXgkMBW4WhDOuGQWxcoBQzd3fMV0Q5w+4NXacKeG2BbfB2XgUBqPwy0Hv+KS1Zxe9RK9QH4XoEB2jT2iCpoh6yHvjvfMC/4X/3j/xTzelvtf2PEf/hP/5N0NfyeQ=</latexit> <latexit sha1_base64="KsBHfA3vE/j+/XdkySXMek/+q74=">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</latexit> <latexit sha1_base64="KsBHfA3vE/j+/XdkySXMek/+q74=">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</latexit> P⇤ = c2⇢ n⇤ n0 n0 Pk+1 = c2⇢ nk+1 n0 n0 <latexit sha1_base64="mjElurW5PyLGDXCVu35LEx2uPNk=">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</latexit> <latexit sha1_base64="mjElurW5PyLGDXCVu35LEx2uPNk=">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</latexit> <latexit sha1_base64="mjElurW5PyLGDXCVu35LEx2uPNk=">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</latexit> <latexit sha1_base64="mjElurW5PyLGDXCVu35LEx2uPNk=">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</latexit>
όέοτߏ ཻࢠ๏ೖͦͷ̎ ɾҰఆͷେ͖͞ͷ όέοτʹ͚Δ ɾ֤όέοτʹ ௨͠൪߸Λ;Δ
ϦϯΫϦετߏ ཻࢠ๏ೖͦͷ̎ ɾ࠷ݶͷใͰ όέοτͷதΛͭ ͜ͷόέοτͷ'JSTUʜ ͜ͷόέοτͷ-BTUʜ
ͷOFYUʜ ͷOFYUʜ ͷOFYUʜ ͷOFYUʜ
৽͍࣮͠ ཻࢠ๏ೖͦͷ̎
৽͍࣮͠ ཻࢠ๏ೖͦͷ̎ ཻࢠΛฒΔ ԾΛܭࢉ͢Δ ԾΛͬͯҠಈ͢Δ ඇѹॖ݅Λຬͨ͢Α͏ʹ ѹྗΛܭࢉ ҐஔͱΛ࠶ܭࢉ
৽͍࣮͠ ཻࢠ๏ೖͦͷ̎ ཻࢠΛฒΔ όέοτใΛߋ৽ ೪ੑ߲ॏྗ߲ͰԾͱԾҐஔ ࣮ࡍͷѹྗΛग़͢ ԾͷѹྗΛܭࢉ ࣮ࡍͷҐஔɾΛग़͢
݁Ռ ཻࢠ๏ೖͦͷ̎
݁Ռ ཻࢠ๏ೖͦͷ̎ ӄղ๏ʜ࣮ߦ࣌ؒTFD ཻࢠεςοϓ γϛϡϨʔγϣϯͨ࣌ؒ͠TFD ཅղ๏ʜ࣮ߦ࣌ؒTFD ཻࢠεςοϓ γϛϡϨʔγϣϯͨ࣌ؒ͠TFD ཅղ๏ 0QFO.1
ʜ࣮ߦ࣌ؒTFD ཻࢠεςοϓ γϛϡϨʔγϣϯͨ࣌ؒ͠TFD
݁Ռ ཻࢠ๏ೖͦͷ̎
࣍ճ ཻࢠ๏ೖͦͷ̎ ɾଞͷฒྻԽํ๏ʢDTDͰͷ࣮ߦؚΉʣ ɾҧ͏σʔλͰͷγϛϡϨʔγϣϯ ɾʢ.FUBMͰͷԠ༻ʁʣ