©White Rose Maths...=𝑘 =𝑘 =𝒌 = +𝑎 =−𝑘 , =𝑎− , + =𝑎)

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Transcript of ©White Rose Maths...=𝑘 =𝑘 =𝒌 = +𝑎 =−𝑘 , =𝑎− , + =𝑎)

Page 1: ©White Rose Maths...=𝑘 =𝑘 =𝒌 = +𝑎 =−𝑘 , =𝑎− , + =𝑎)

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©White Rose Maths

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©White Rose Maths

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©White Rose Maths

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©White Rose Maths

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©White Rose Maths

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©White Rose Maths

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©White Rose Maths

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©White Rose Maths

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©White Rose Maths

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©White Rose Maths

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©White Rose Maths

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©White Rose Maths

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©White Rose Maths

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©White Rose Maths

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©White Rose Maths

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©White Rose Maths

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©White Rose Maths

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©White Rose Maths

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©White Rose Maths

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©White Rose Maths

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©White Rose Maths

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©White Rose Maths

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©White Rose Maths

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©White Rose Maths

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©White Rose Maths

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©White Rose Maths

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𝑛 𝑛

𝑚 𝑛

𝑛

𝜋

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𝑦 = 𝑥

𝑦 = 𝑘𝑥

𝑦 = 𝑘𝑥

𝒚 = 𝒌𝒙

𝑦 = 𝑥 + 𝑎

𝑦 = −𝑘𝑥, 𝑦 = 𝑎 − 𝑥, 𝑥 + 𝑦 = 𝑎)

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𝑦 = 𝑚𝑥 + 𝑐

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𝒏

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©White Rose Maths

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𝑦 = 𝑥 𝑦 = −𝑥

𝑦 = 𝑚𝑥 + 𝑐

𝒚 = 𝒎𝒙 + 𝒄

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•

•

•

•

•

•

•

•

• 𝑛

•

•

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Page 79: ©White Rose Maths...=𝑘 =𝑘 =𝒌 = +𝑎 =−𝑘 , =𝑎− , + =𝑎)

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𝟏

𝟐𝒂𝒃𝐬𝐢𝐧𝑪

Page 81: ©White Rose Maths...=𝑘 =𝑘 =𝒌 = +𝑎 =−𝑘 , =𝑎− , + =𝑎)

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Page 83: ©White Rose Maths...=𝑘 =𝑘 =𝒌 = +𝑎 =−𝑘 , =𝑎− , + =𝑎)

(𝑥, 𝑦)

Page 84: ©White Rose Maths...=𝑘 =𝑘 =𝒌 = +𝑎 =−𝑘 , =𝑎− , + =𝑎)

(𝒙, 𝒚)

Page 85: ©White Rose Maths...=𝑘 =𝑘 =𝒌 = +𝑎 =−𝑘 , =𝑎− , + =𝑎)

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1 ∶ 𝑛 𝑛 ∶ 1

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𝑛

𝑛

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Page 103: ©White Rose Maths...=𝑘 =𝑘 =𝒌 = +𝑎 =−𝑘 , =𝑎− , + =𝑎)

©White Rose Maths

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©White Rose Maths

𝑦 = 𝑚𝑥 + 𝑐

Page 105: ©White Rose Maths...=𝑘 =𝑘 =𝒌 = +𝑎 =−𝑘 , =𝑎− , + =𝑎)

©White Rose Maths

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©White Rose Maths

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©White Rose Maths

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©White Rose Maths

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©White Rose Maths

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©White Rose Maths

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©White Rose Maths

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©White Rose Maths

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©White Rose Maths

Ratio problems

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©White Rose Maths

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©White Rose Maths

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©White Rose Maths

𝑛

𝑛

Page 117: ©White Rose Maths...=𝑘 =𝑘 =𝒌 = +𝑎 =−𝑘 , =𝑎− , + =𝑎)

©White Rose Maths

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©White Rose Maths

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©White Rose Maths

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©White Rose Maths

From code commit to shipping it - University of Washington · 2019. 3. 16. · Saving 50% of tests! = 𝑎 ∗ 𝑖 𝑎 ∗ 𝑀𝑎 ℎ𝑖 =10,000∗0.12sec∗5.14 −4 $ൗ =$𝟎.𝟔𝟐

From code commit to shipping it - University of Washington · 2019. 3. 16. · Saving 50% of tests! = 𝑎 ∗ 𝑖 𝑎 ∗ 𝑀𝑎 ℎ𝑖 =10,000∗0.12sec∗5.14 −4 $ൗ =$𝟎.𝟔𝟐

Unit 5 Integration Test 1 Study Guide · 2020. 1. 29. · The Definite Integral a Limit of a Riemann Sum Limit Statement Definite Integral lim 𝑛→∞ 𝑘=1 𝑛 (2+ 3 𝑛 𝑘)2+2

Unit 5 Integration Test 1 Study Guide · 2020. 1. 29. · The Definite Integral a Limit of a Riemann Sum Limit Statement Definite Integral lim 𝑛→∞ 𝑘=1 𝑛 (2+ 3 𝑛 𝑘)2+2

Bandwidth/Fault tolerance/Contention Aware Application ... · which routing function selects . path 1. and 𝑎 2 and routing function selects 𝑎 2 and 𝑎 3 to route packets between

Bandwidth/Fault tolerance/Contention Aware Application ... · which routing function selects . path 1. and 𝑎 2 and routing function selects 𝑎 2 and 𝑎 3 to route packets between

NORTH SEA FLOW MEASUREMENT WORKSHOP 2000 - NFOGM · 2019. 10. 29. · North Sea Flow Measurement Workshop 22-25 October 2019 Technical Paper 3 𝑅= 𝑎 ç å 𝑎 ç å 𝑎 ç

NORTH SEA FLOW MEASUREMENT WORKSHOP 2000 - NFOGM · 2019. 10. 29. · North Sea Flow Measurement Workshop 22-25 October 2019 Technical Paper 3 𝑅= 𝑎 ç å 𝑎 ç å 𝑎 ç

R. Chatterjee, J. Woodage, Y. Pnueli, A. Chowdhury, T ... › ~chatterjee › ppts › typtop_CCS2017.pdf · Design of TypTop: Some more details 𝑝𝑘 E 𝑘 E 𝑘 ラβτ 了й

R. Chatterjee, J. Woodage, Y. Pnueli, A. Chowdhury, T ... › ~chatterjee › ppts › typtop_CCS2017.pdf · Design of TypTop: Some more details 𝑝𝑘 E 𝑘 E 𝑘 ラβτ 了й

Highly efficient thermophones based on freestanding single ... · 4 𝑎= 𝑎 0.5 log10(𝜉) log10(0.5), (S1) where 𝜉 is the film optical transmittance at 550 nm. S1.2 Purification

Highly efficient thermophones based on freestanding single ... · 4 𝑎= 𝑎 0.5 log10(𝜉) log10(0.5), (S1) where 𝜉 is the film optical transmittance at 550 nm. S1.2 Purification

SIGMOD 2020 tutorial Optimal Join Algorithms meet Top-𝑘

SIGMOD 2020 tutorial Optimal Join Algorithms meet Top-𝑘

𝑘=1 and 𝑘=1, 𝑘=1 +1 - sites.ualberta.ca

𝑘=1 and 𝑘=1, 𝑘=1 +1 - sites.ualberta.ca

基礎ゼミ⑬ Frank Wolfeアルゴリズムの実装 (Python) · r w. z v. t 次の収束判定を満たすとき、計算終了 max 𝑎 𝑥𝑎 (2)−𝑥 𝑎 (1) 𝑥𝑎 (1)

基礎ゼミ⑬ Frank Wolfeアルゴリズムの実装 (Python) · r w. z v. t 次の収束判定を満たすとき、計算終了 max 𝑎 𝑥𝑎 (2)−𝑥 𝑎 (1) 𝑥𝑎 (1)

The Comparison Test...2019/01/09 · The Comparison Test Let ∑𝑎 𝑘 and ∑𝑏 𝑘 be series with positive terms and suppose 𝑎 𝑁 ≤𝑏 𝑁, 𝑎 𝑁+1 ≤𝑏 𝑁+1,

The Comparison Test...2019/01/09 · The Comparison Test Let ∑𝑎 𝑘 and ∑𝑏 𝑘 be series with positive terms and suppose 𝑎 𝑁 ≤𝑏 𝑁, 𝑎 𝑁+1 ≤𝑏 𝑁+1,

Amateur Astronomy & Telescopes - WordPress.com...2/5/2014 Amateur Astronomy & Telescopes - Webster 12 𝐸𝑥𝑖 𝑃𝑖 H= 𝑎 H H J ℎ𝐸𝑃 𝑎 H N𝑎 P𝑖 K𝑠𝑐 𝑒

Amateur Astronomy & Telescopes - WordPress.com...2/5/2014 Amateur Astronomy & Telescopes - Webster 12 𝐸𝑥𝑖 𝑃𝑖 H= 𝑎 H H J ℎ𝐸𝑃 𝑎 H N𝑎 P𝑖 K𝑠𝑐 𝑒

Thermal Modeling of Vanadium Redox Flow Battery€¦ · internal resistance ... − 𝑎 𝑎 ℎ= = ∆ C.Blanc, Modeling of a vanadium redox flow battery electricity storage system,

Thermal Modeling of Vanadium Redox Flow Battery€¦ · internal resistance ... − 𝑎 𝑎 ℎ= = ∆ C.Blanc, Modeling of a vanadium redox flow battery electricity storage system,

SCILAB WORKSHOP...approximation for pour Hessian 𝑘 • ρ𝑘 pour control convergence Caracteristics • High memory need to store 𝑘: O(n²) (O(n) in case of limited method)

SCILAB WORKSHOP...approximation for pour Hessian 𝑘 • ρ𝑘 pour control convergence Caracteristics • High memory need to store 𝑘: O(n²) (O(n) in case of limited method)

DC / AC Ratio Optimization · DC / AC Ratio Optimization 3 𝑟 𝑟𝑎 𝑖 = 𝑅𝑎 𝐴𝑟𝑟𝑎𝑦 𝑟 ( 𝑘 ) 𝑅𝑎 𝐼 𝑟 𝑟 (𝐴 𝑘 )

DC / AC Ratio Optimization · DC / AC Ratio Optimization 3 𝑟 𝑟𝑎 𝑖 = 𝑅𝑎 𝐴𝑟𝑟𝑎𝑦 𝑟 ( 𝑘 ) 𝑅𝑎 𝐼 𝑟 𝑟 (𝐴 𝑘 )

Journal of Artificial Intelligence Research (JAIR) · Kash,Friedman,&Halpern abetterrepresentationforanonymousgames,theconvergencetimeisstill 𝑂(𝑛𝑘)(typically 𝑘≪ 𝑛).

Journal of Artificial Intelligence Research (JAIR) · Kash,Friedman,&Halpern abetterrepresentationforanonymousgames,theconvergencetimeisstill 𝑂(𝑛𝑘)(typically 𝑘≪ 𝑛).

STATISTIKA DAN PROBABILITAS (CIV -110)...Contoh soal : Misal 5 buah koin ditos. Hitung peluang munculnya 2 gambar (2G) 𝑘 𝑁= ! 𝑘! −𝑘! = 5! 2!∗3! =10 KURVA NORMAL DISTRIBUSI

STATISTIKA DAN PROBABILITAS (CIV -110)...Contoh soal : Misal 5 buah koin ditos. Hitung peluang munculnya 2 gambar (2G) 𝑘 𝑁= ! 𝑘! −𝑘! = 5! 2!∗3! =10 KURVA NORMAL DISTRIBUSI

S L -A F CO2 H O...ltz-ft September 26th, 2017 - TERENO Workshop 2 EDDY COVARIANCE METHOD NEE ET =𝜌ഥ′𝑐′ ′ =𝜌ഥ′ 1 𝑁−1 𝑘=0 𝑁−1 𝑘− ഥ 𝑐𝑘−𝑐ҧ

S L -A F CO2 H O...ltz-ft September 26th, 2017 - TERENO Workshop 2 EDDY COVARIANCE METHOD NEE ET =𝜌ഥ′𝑐′ ′ =𝜌ഥ′ 1 𝑁−1 𝑘=0 𝑁−1 𝑘− ഥ 𝑐𝑘−𝑐ҧ

Basic Electronics - Purdue University =𝐼 𝐼=𝐶 𝑉 𝑉= 𝐼 𝑘=1𝐼𝑘 𝑘=1𝑉𝑘

Basic Electronics - Purdue University =𝐼 𝐼=𝐶 𝑉 𝑉= 𝐼 𝑘=1𝐼𝑘 𝑘=1𝑉𝑘

Chapter 4 Amortized Analysisac.informatik.uni-freiburg.de/teaching/ws17_18/algo1718/...• Complexity: 𝑘 • What is the amortized complexity of these operations? Algorithm Theory,

Chapter 4 Amortized Analysisac.informatik.uni-freiburg.de/teaching/ws17_18/algo1718/...• Complexity: 𝑘 • What is the amortized complexity of these operations? Algorithm Theory,

Copyright © 2004-2020 by GEOSLOPE International, Ltd.downloads.geo-slope.com/geostudioresources/books/11/0...of a fluid, 𝑘 𝑓 of snow, 𝑘 𝑠𝑛𝑜𝑤 of an unfrozen soil,

Copyright © 2004-2020 by GEOSLOPE International, Ltd.downloads.geo-slope.com/geostudioresources/books/11/0...of a fluid, 𝑘 𝑓 of snow, 𝑘 𝑠𝑛𝑜𝑤 of an unfrozen soil,

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