2 = {1, , } 1 2 3 || = - - PowerPoint PPT Presentation

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2 = {1, , } 1 2 3 || = - - PowerPoint PPT Presentation

Sep 18, 2022 311 likes •607 views

2 = {1, , } 1 2 3 || = 3 4 o o o 5 o o o o o 6 7

slide-1
SLIDE 1
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SLIDE 2
  • 2
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SLIDE 3
  • 𝑂 = {1, … , 𝑜}
  • 𝐵

|𝐵| = 𝑛

  • 3

1 2 3 𝑏 𝑑 𝑐 𝑐 𝑏 𝑑 𝑑 𝑐 𝑏

slide-4
SLIDE 4

4

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SLIDE 5
  • 5
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SLIDE 6
  • 𝑛 − 𝑙

𝑙

  • 6
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SLIDE 7

7

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SLIDE 8
  • 𝑦

𝑧 𝑦 𝑧

  • 8
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SLIDE 9
  • 𝑛 − 1
  • 9
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SLIDE 10

10

𝑏 𝑐 𝑑 𝑐 𝑏 𝑒 𝑑 𝑒 𝑐 𝑒 𝑑 𝑏 𝑏 𝑐 𝑑 𝑐 𝑏 𝑐 𝑑 𝑑 𝑏 𝑏 𝑐 𝑐 𝑐 𝑏 𝑏 𝑐 𝑐 𝑐

slide-11
SLIDE 11
  • 𝑦

𝑦

  • 11
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SLIDE 12
  • 12
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SLIDE 13
  • 𝑦

𝑧 𝑦 𝑧

  • 13

1 2 3 𝑏 𝑑 𝑐 𝑐 𝑏 𝑑 𝑑 𝑐 𝑏

slide-14
SLIDE 14
  • 14
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SLIDE 15
  • 𝑦

𝑧 |{𝑗 ∈ 𝑂: 𝑦 ≻𝑗 𝑧}|

  • 15
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SLIDE 16
  • 𝑦

𝑦

  • 16
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SLIDE 17

𝑏 𝑐 𝑑 𝑒 𝑓 𝑐 𝑏 𝑑 𝑒 𝑓 𝑓 𝑐 𝑑 𝑏 𝑒 𝑓 𝑑 𝑒 𝑐 𝑐 𝑓 𝑒 𝑑 𝑏 𝑏

17

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SLIDE 18
  • 𝑌, 𝑍

𝐵 𝑦 ∈ 𝑌 𝑧 ∈ 𝑍 𝑌 𝑍

  • 18
slide-19
SLIDE 19

19

𝑦 𝑏 𝑐 𝑨 𝑧 𝑏 𝑧 𝑐 𝑨 𝑦 𝑐 𝑨 𝑏 𝑦 𝑧 𝑏 𝑐 𝑨 𝑦 𝑧

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SLIDE 20
  • 𝑏
  • 𝑐
  • 𝑑
  • 𝑒
  • 𝑓

20

𝑏 𝑐 𝑑 𝑑 𝑒 𝑓 𝑐 𝑒 𝑒 𝑓 𝑓 𝑑 𝑑 𝑑 𝑐 𝑐 𝑑 𝑐 𝑒 𝑓 𝑏 𝑒 𝑐 𝑒 𝑓 𝑏 𝑓 𝑏 𝑏 𝑏

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SLIDE 21
  • 21
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SLIDE 22
  • 22
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SLIDE 23
  • 23
slide-24
SLIDE 24

24

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SLIDE 25
  • 𝑛
  • 25

𝑏 𝑏 𝑐 𝑑 𝑒 𝑓 𝑔 𝑕 ℎ 

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SLIDE 26
  • 𝑜 = 𝜕(𝑛log𝑛)

26

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SLIDE 27
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SLIDE 28
  • 28