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00:00
1.
Geometric Reasoning and Applications: Orthogonal Range Searching
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01:02
2.
Orthogonal Range Searching
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02:56
3.
Interpret DB Queries Geometrically
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06:54
4.
1-D Range Searching (I)
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11:32
5.
1-D Range Searching (II)
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15:29
6.
Finding the Split Node
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21:01
7.
1D Range Query Algorithm (I)
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24:00
8.
1D Range Query Algorithm (II)
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35:40
9.
1D-Range Search Algorithm: Analysis
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39:15
10.
Kd-Trees (I)
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40:15
11.
Kd-Trees (I)
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41:25
12.
Kd-Trees (II)
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45:59
13.
The BuildKDTree Algorithm
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49:23
14.
The BuildKDTree Algorithm
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49:49
15.
Construction Time Analysis
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1:02:50
16.
Querying on a kd-Tree (I)
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1:06:14
17.
Querying on a kd-Tree (II)
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1:16:47
18.
Querying on a kd-Tree (II)
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1:17:21
19.
Querying on a kd-Tree (III)
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1:18:01
20.
The SearchKDTree Algorithm
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1:20:41
21.
2D KD-Tree Query Time Analysis
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1:28:08
22.
KD-Tree Query Time Analysis
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1:29:15
23.
Basics of Range Trees
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1:29:28
24.
Basics of Range Trees
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1:32:08
25.
Range Trees
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1:36:09
26.
Example of Range Tree
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1:37:54
27.
The Build2DRangeTree Algorithm
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1:41:10
28.
The 2DRangeQuery Algorithm (I)
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1:41:37
29.
The 2DRangeQuery Algorithm (II)
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1:43:10
30.
Range Tree Algorithm Analysis
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1:52:21
31.
Range Tree in Higher Dimensions
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1:54:11
32.
General Sets of Points
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1:57:28
33.
Basics of Fractional Cascading (I)
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2:07:45
34.
Basics of Fractional Cascading (II)
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2:09:02
35.
Fractional Cascading Algorithm Analysis