Nonlinear Dynamics and Chaos
2nd Edition
ISBN: 9780813349107
Author: Steven H. Strogatz
Publisher: PERSEUS D
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Chapter 11.4, Problem 2E
Interpretation Introduction
Interpretation:
To find the box dimension of Sierpinski carpet (refer figure
Concept Introduction:
Determine self-similar set
Determine the scaled-down factor
Use the dimension formula.
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4. Let A {w, e, s, t, f, i, e, l, d, s, t, a, t, e}.
(a) How many different words (they do not have to make sense) can you spell with the letters in A?
(b) Is your answer from above the same as the cardinality of the powerset of A, i.e. of P(A)?
(c) What is |A|?
5. How many numbers can you make out of the digits 1, 2, 3, 4, 6 if the rule is that every digit has to be
larger than the digit preceding it? For example 124 is ok, 122 is not ok. Every digit can be used only
once, but you do not have to use every digit. A tree might help.
Can you help me with f and g?What they are asking is, what do you shade in? Not the power set. At least for F
Chapter 11 Solutions
Nonlinear Dynamics and Chaos
Ch. 11.1 - Prob. 1ECh. 11.1 - Prob. 2ECh. 11.1 - Prob. 3ECh. 11.1 - Prob. 4ECh. 11.1 - Prob. 5ECh. 11.1 - Prob. 6ECh. 11.1 - Prob. 7ECh. 11.2 - Prob. 1ECh. 11.2 - Prob. 2ECh. 11.2 - Prob. 3E
Ch. 11.2 - Prob. 4ECh. 11.2 - Prob. 5ECh. 11.2 - Prob. 6ECh. 11.3 - Prob. 1ECh. 11.3 - Prob. 2ECh. 11.3 - Prob. 3ECh. 11.3 - Prob. 4ECh. 11.3 - Prob. 5ECh. 11.3 - Prob. 6ECh. 11.3 - Prob. 7ECh. 11.3 - Prob. 8ECh. 11.3 - Prob. 9ECh. 11.3 - Prob. 10ECh. 11.4 - Prob. 1ECh. 11.4 - Prob. 2ECh. 11.4 - Prob. 3ECh. 11.4 - Prob. 4ECh. 11.4 - Prob. 5ECh. 11.4 - Prob. 6ECh. 11.4 - Prob. 7ECh. 11.4 - Prob. 8ECh. 11.4 - Prob. 9ECh. 11.4 - Prob. 10ECh. 11.5 - Prob. 1E
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