060 - Discrete vs. continuous distributions
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2023-03-14 19:29:48
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自动拾取，自动合成，小怪都能爆4属性卓越套装
分形理论教程
(60/120)
8968播放
简介
简介
7Self-Similarity Dimension Quiz 2 (Solution)
7Self-Similarity Dimension Quiz 2 (Solution)
02:50
006 Dimension of fractal snowflake
08:39
005Dimension of Sierpiński triangle
04:18
004Self-Similarity Dimension Quiz 1 (Solution)
01:50
003 - Fractals and Scaling- Dimension for non-fractals
09:03
Fractals and Scaling 002 - Introducing fractals
04:23
Fractals and Scaling-1Welcome to the course
02:57
008 -Self-Similarity Dimension Quiz 3 (Solution)
02:36
009 - Exponent Properties
09:56
010 - Logarithm definition
05:45
011 - Exponent and Logarithm Review Quiz 3 (Solution)
04:59
012 Logarithm properties
05:35
013 - Exponent and Logarithm Review Quiz 4 (Solution)
01:56
014 - Using logarithms
02:11
015 - Exponent and Logarithm Review Quiz 5 (Solution)
04:50
016 - Logarithms- different bases
03:59
017 - Exploring the Koch curve
11:17
018 - Exploring the Sierpiński triangle (and Properties Quiz 1 solutions)
07:08
019 - Dimension and scaling
06:48
20-Properties and Features of Fractals Quiz 2 (Solutions)
03:18
021 -Self-similar and scale-free
05:35
022 - Mathematical vs. real fractals
04:00
023 - Fractals and Scaling- Part 1 Summary
08:32
024 - Part 2 Introduction and Elderberry Fractals
05:23
025 - Koch Curve via Computer
06:01
026 - Irregular Koch curves
03:04
027 - Quadratic Koch Curve
02:39
028 - "Solutions" to Explorations
02:41
029 - Iterated Function Systems and L-Systems
14:10
030 - The Random Koch curve
09:24
031 - Fractal landscapes
07:46
032 - Introducing the chaos game
07:47
033- Explaining the chaos game
05:14
034 - Chaos game variations
04:24
035 - Introducing Diffusion-Limited Aggregation (DLA)
05:48
036 - Experimenting with DLA
04:56
037 - More about DLA
02:26
038 - Unit 2 summary
07:25
039 - Introduction to Box Counting Dimension
04:27
040 - Basic Box-Counting- Line and square
12:37
041 - Basic Box-Counting- Box-counting Another line
04:26
042- Box counting the Sierpinski triangle
08:48
043- Box-counting and the Cantor set
03:31
044- Unit 3 Introduction- Box-Counting in Practice
08:37
045- Box-counting a circle
15:03
046- Log-log plots
07:22
047- Log-log plot for a square
11:29
048-Solution to Quiz 3
02:05
049- Log-log plots- practicalities and issues
10:59
050 - Thinking about Dimensions
06:19
051-Thinking about Dimensions- What do dimensions tell us?
03:51
052- A tour through the dimensions
12:23
053 -Unit 3 Summary
10:24
054 - Introducing Power Laws
01:44
055 - Weighing books
05:44
056 - Word frequencies
09:35
057 - A power law
06:40
058 - Central limit theorem
14:53
059 - Exponential distributions
10:32
060 - Discrete vs. continuous distributions
05:14
061 - Power laws are scale free
13:38
062- Solutions to Unit 4 quiz 1 and 2
04:06
063 - Power laws have long tails
07:14
064 -The coin-toss game- A process with an average
10:36
065 - A process without an average
17:09
066- Power laws and averages
09:24
067- Part 4 Summary
14:45
069 - Power Laws in Empirical Data Introduction
03:15
068 - Only power laws are scale free (Optional)
14:57
070- Histograms and distributions
05:02
071 - Cumulative distributions
10:12
072 - Rank-frequency plots
09:09
073 - The exponent for the Cumulative Distribution Function (Optional)
05:07
074 - Empirical examples of power-law CDFs
09:47
075 - The maximum likelihood estimator for alpha
13:05
076 - Comparing the MLE with linear-fit methods
05:18
077- Estimating x_min (Optional)
09:03
078 - Goodness of fit
11:38
079 - Log-normal distributions
09:58
080 -Choosing among alternatives (Optional)
06:11
081 - Power-law or long-tailed?
07:27
082 - Part 5 Summary
14:24
083 -Part 6 Introduction (Generating Power Laws)
02:56
084 - Introducing the rich-get-richer idea
05:12
085 -A preferential attachment model
13:12
086 - Further remarks on preferential attachment
11:13
087 - Combinations of exponentials
10:41
088 - Multiplicative processes produce log normals
09:20
089 - Multiplicative processes produce power laws
05:57
090 - Distribution networks
09:06
091- Highly optimized tolerance
08:12
092- Optimization and word frequency
04:07
093 - General remarks on optimization
05:56
094 - Percolation (Optional)
11:41
095 - Universality (Optional)
05:09
096- How many power laws are from phase transitions?
07:30
097 - What do power laws mean?
03:47
098 - Unit 6 summary
13:54
099 - Interview with Geoffrey West
15:42
100 - Metabolic Scaling Introduction & Kleiber's law
09:32
101 - Interview- Nick Watkins
17:24
103 - Metabolic scaling- is it linear
04:42
104 -How does surface area scale?
06:13
105 -Metabolic Scaling Quiz 2 solution
06:09
106- Elements of the WBE theory
15:33
107 -Other scaling relationships
10:05
102- Review of basic scaling
05:26
108 - Interview with Van Savage
15:36
109 - Remarks on trends vs. variation
04:30
110 -WBE Quiz Solution
02:44
112 - Urban Scaling introduction
02:26
113 - Interview- Luís Bettencourt
17:14
114 - Interview- Christa Brelsford
10:19
115 - some initial results in urban scaling
07:16
116 - urban scaling and patterns in the exponents
07:47
117 - Toward a theory of urban scaling
11:54
118 -Reflections on urban scaling
08:55
120 - Farewell
02:46
121 -Summary of course
19:25
122 - Fractals and Scaling with Prof. Dave Feldman
04:59
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