Márton gruiz Study guides, Class notes & Summaries
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Exam (elaborations) TEST BANK FOR Chaotic Dynamics_ An Introduction Based on Classical Mechanics By Tamás Tél, Márton Gruiz(Solutions Manual)
- Exam (elaborations) • 21 pages • 2021
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Exam (elaborations) TEST BANK FOR Chaotic Dynamics_ An Introduction Based on Classical Mechanics By Tamás Tél, Márton Gruiz(Solutions Manual) 
Solutions to the problems1 
Solution 2.2 Let the area of the largest regular triangle inscribed into the island be 
A0, which is also the area in the zeroth step of the Koch construction. In the first 
step, three smaller triangles are added, with an area of A0/9 each. In the nth step, 
the number of new triangles of area A0/9n is 3 × 4n−1. The to...
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Exam (elaborations) TEST BANK FOR Chaotic Dynamics_ An Introduction Based on Classical Mechanics By Tamás Tél, Márton Gruiz(Solutions Manual)-Converted
- Exam (elaborations) • 21 pages • 2021
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Solution 2.2 Let the area of the largest regular triangle inscribed into the island be 
A0, which is also the area in the zeroth step of the Koch construction. In the first 
step, three smaller triangles are added, with an area of A0/9 each. In the nth step, 
the number of new triangles of area A0/9n is 3 × 4n−1. The total area of all the 
small triangles is therefore A0 
∞ 
n=1 3 × 4n−19−n = A0/3 
∞ 
n=0(4/9)n . This is a 
geometrical series of quotient 4/9. Thus, the area increme...