美国数学建模竞赛同济大学优秀论文选评 上2025|PDF|Epub|mobi|kindle电子书版本百度云盘下载

美国数学建模竞赛同济大学优秀论文选评 上PDF格式电子书版下载

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第一部分 MCM 2013年A题3

第一章 赛题：The Ultimate Brownie Pan3

第二章 论文1：The Ultimate Brownie Pan5

2.1 Introduction6

2.2 Assumptions7

2.3 Notations8

2.4 Part Ⅰ8

2.5 Part Ⅱ18

2.6 Strengths and Weaknesses22

2.7 Future Work22

2.8 点评23

第三章 论文2：The Ultimate Brownie Pan24

3.1 Introduction25

3.2 Problem Analysis25

3.3 Assumptions26

3.4 Models27

3.5 Results34

3.6 Analysis of Models39

3.7 点评40

第四章 论文3：The Ultimate Brownie Pan41

4.1 Introduction42

4.2 Restatement of the Problem42

4.3 Problem Analysis43

4.4 Model Assumptions44

4.5 Model and Solution44

4.6 Evaluation of the Model61

4.7 Future Works61

4.8 点评62

第五章 论文4：Heat Distribution and the Ultimate Brownie Pan63

5.1 Introduction64

5.2 Heat Distribution Problem—the Models of Heat Distribution Across Pans65

5.3 The Pan-Shape-Choosing Problem78

5.4 点评85

第六章 论文5：Ultimate Brownie Pan，Live in a Delicious Way86

6.1 Introduction and Backgrounds87

6.2 Terminology and Definitions87

6.3 Assumptions88

6.4 Temperature Distribution Model89

6.5 Solutions to Requirements96

6.6 Sensitivity Analysis102

6.7 Strengths and Weaknesses103

6.8 点评104

第七章 论文6：The Ultimate Brownie Pan105

7.1 Introduction106

7.2 Assumptions107

7.3 Heat Analysis107

7.4 Unevenness of Distribution112

7.5 Arrangement Problem114

7.6 Weight Analysis118

7.7 Sensitivity Analysis121

7.8 Conclusions121

7.9 Strengths and Weaknesses122

7.1 0点评123

第二部分 MCM 2011年A题127

第八章 赛题：Snowboard Course127

第九章 论文1：Research of the Snowboard Course128

9.1 Introduction128

9.2 Scheme 1129

9.3 Scheme 2133

9.4 Scheme 3134

9.5 Strengths and Weaknesses135

9.6 Conclusions135

9.7 点评136

第十章 论文2：Snowboard Course：the Optimization of the Halfpipe Shape138

10.1 Introduction139

10.2 Assumptions141

10.3 Variable Definition141

10.4 Analysis of the Problem142

10.5 The Model Results145

10.6 Improve the Model148

10.7 Conclusions149

10.8 Strengths and Weaknesses150

10.9 点评150

第十一章 论文3：A Solution to Snowboard Course152

11.1 Introduction153

11.2 Analysis153

11.3 Variables and Assumption156

11.4 Model158

11.5 Model Optimization166

11.6 Practical Application168

11.7 Conclusion169

11.8 Appendix171

11.9 点评171

第三部分 MCM 2010年A题175

第十二章 赛题：The Sweet Spot175

第十三章 论文1：Hit the ball，hit the sweet spot176

13.1 Introduction177

13.2 General Assumptions178

13.3 The Collision Model178

13.4 Two Definitions of the Sweet Spot179

13.5 Verification of the Model180

13.6 Corking the Bat181

13.7 The Vertical Sweet Zone185

13.8 Metal Bats187

13.9 点评189

第十四章 论文2：The Sweet Spot190

14.1 Restatement of the Problem191

14.2 Terms and Ambiguous Words191

14.3 Ambiguous Words191

14.4 Assumptions191

14.5 The COP Model192

14.6 The Plane-parallel Motion Model193

14.7 The Plane-parallel Motion Model of a Corked Bat199

14.8 Dynamics of Swinging a Bat202

14.9 The Comprehensive Consideration204

14.10 点评206