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
continuity
Search
Sponsored
·
Your Podcast. Everywhere. Effortlessly.
Share. Educate. Inspire. Entertain. You do you. We'll handle the rest.
→
poyo
May 27, 2017
Education
0
180
continuity
poyo
May 27, 2017
Tweet
Share
More Decks by poyo
See All by poyo
Extended Euclidean algorithm
poyo
0
200
Chinese Remainder Theorem
poyo
0
140
CoordinateTransformation
poyo
0
150
n^k/a^n
poyo
0
200
ABC 041 D 徒競走
poyo
0
410
ARC 050 B 花束
poyo
0
670
Other Decks in Education
See All in Education
Security, Privacy and Trust - Lecture 11 - Web Technologies (1019888BNR)
signer
PRO
0
3.2k
いわゆる「ふつう」のキャリアを歩んだ人の割合(若者向け)
hysmrk
0
310
IKIGAI World Fes:program
tsutsumi
1
2.6k
外国籍エンジニアの挑戦・新卒半年後、気づきと成長の物語
hypebeans
0
730
AIで日本はどう進化する? 〜キミが生きる2035年の地図〜
behomazn
0
110
Microsoft Office 365
matleenalaakso
0
2.1k
Human Perception and Cognition - Lecture 4 - Human-Computer Interaction (1023841ANR)
signer
PRO
0
1.3k
The World That Saved Me: A Story of Community and Gratitude
_hashimo2
3
510
HTML5 and the Open Web Platform - Lecture 3 - Web Technologies (1019888BNR)
signer
PRO
2
3.2k
【旧:ZEPメタバース校舎操作ガイド】
ainischool
0
790
LotusScript でエージェント情報を出力してみた
harunakano
0
120
The browser strikes back
jonoalderson
0
360
Featured
See All Featured
Mozcon NYC 2025: Stop Losing SEO Traffic
samtorres
0
140
Primal Persuasion: How to Engage the Brain for Learning That Lasts
tmiket
0
250
Neural Spatial Audio Processing for Sound Field Analysis and Control
skoyamalab
0
160
Applied NLP in the Age of Generative AI
inesmontani
PRO
4
2k
Test your architecture with Archunit
thirion
1
2.1k
Ecommerce SEO: The Keys for Success Now & Beyond - #SERPConf2024
aleyda
1
1.8k
Music & Morning Musume
bryan
47
7.1k
Building a A Zero-Code AI SEO Workflow
portentint
PRO
0
300
How to optimise 3,500 product descriptions for ecommerce in one day using ChatGPT
katarinadahlin
PRO
0
3.4k
Exploring anti-patterns in Rails
aemeredith
2
250
Kristin Tynski - Automating Marketing Tasks With AI
techseoconnect
PRO
0
140
Code Review Best Practice
trishagee
74
20k
Transcript
ྻͷۃݶͱؔͷۃݶ May 27, 2017
f a ΛؚΉ͋Δ۠ؒͰఆٛ͞Ε͍ͯΔؔͱ͠·͢ɻ͜ͷͱ ͖ f ͕ a Ͱ࿈ଓͰ͋Δ͜ͱɺͭ·Γ lim
x→a f(x) = f(a) ͕ΓཱͭͨΊͷඞཁे݅ lim n→∞ xn = a ͱͳΔશͯͷྻ {xn } ʹରͯ͠ lim n→∞ f(xn) = f(a) Ͱ͋Δ͜ͱΛূ໌͠·͢ɻ
ඞཁੑ lim x→a f(x) = f(a) ͱ͠·͢ɻͭ·Γɺ ∀ε, ∃δ (|x
− a| < δ ⇒ | f(x) − f(a)| < ε) ͕Γཱͭͱ͠·͢ɻ·ͨɺxn → a ΑΓ ∀ε1 , ∃N (N < n ⇒ |xn − a| < ε1) ͕Γཱ͍ͬͯ·͢ɻε1 ҙͳͷͰɺಛʹ্ͷࣜͷ δ ʹରͯ͠ ε1 = δ ͱ͢Δͱ ∀ε, ∃δ, ∃N (N < n ⇒ |xn − a| < δ ⇒ | f(xn) − f(a)| < ε) ͕ΓཱͭͷͰඞཁੑ͕ݴ͑·ͨ͠ɻ1 1{xn } a ʹऩଋ͍ͯ͠ΕΑ͍͚ͩͳͷͰɺҙͰ͢ɻ
ेੑ ͍͠ͷͰରۮ lim x→a f(x) f(a) ͳΒ lim n→∞ xn
= a ͕ͩ lim n→∞ f(xn) f(a) ͳΔ {xn } ͕ଘࡏ͢Δ Λࣔ͠·͢ɻ
ेੑ f a Ͱ࿈ଓͰͳ͍ͷͰ ∃ε1 , ∀δ, ∃x (|x
− a| < δ, |f(x) − f(a)| ≥ ε1) ͕Γཱ͍ͬͯ·͢ɻδ ҙͳͷͰɺͨͱ͑ δ = 1, 1/2, . . . , 1/n, . . . ʹରͯͦ͠ΕͧΕଘࡏ͢Δ x Λॱʹ x1 , x2 , . . . , xn , . . . ͱͯ͠ {xn } ΛఆΊ·͢ɻ2 ͜ͷͱ͖ɺ lim n→∞ xn = a lim n→∞ f(xn) f(a) ͕Γཱͪ·͢ɻҎԼʹ͜ΕΛࣔ͠·͢ɻ 2ແݶݸબͿͷ͜Θ͍Ͱ͕͢ɺେৎͩͱ৴͡·͢ɻ
ेੑ ·ͣɺN Λ N > 1/ε ʹͱΕ ∀ε, ∃N (N
< n ⇒ |xn − a| < ε) ͕Γཱͪ·͢ɻ࣮ࡍɺ{xn } ͷఆٛʹΑͬͯશͯͷ n ʹରͯ͠ |xn − a| < 1/n ͳͷͰ |xn − a| < 1 n < 1 N < ε Ͱ͢ɻ࣍ʹɺε = ε1 ͱ͢Ε ∃ε, ∀N (N < n, |f(xn) − f(a)| ≥ ε) ͕Γཱͪ·͢ɻ͜Ε {xn } ͷఆ͔ٛΒ໌Β͔Ͱ͢ɻ