Nonlinear Dynamics and Chaos
2nd Edition
ISBN: 9780813349107
Author: Steven H. Strogatz
Publisher: PERSEUS D
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Chapter 3.6, Problem 7E
Interpretation Introduction
Interpretation:
Use the concept of Ising model to analyze the solution of
Concept Introduction:
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2. (4 pts.) What is the difference between a Hamiltonian path and an Eulerian path?
3. (10 pts. total) A traveling salesman has to fly from the home base in Orlando to Atlanta,
New York, and Chicago (although not necessarily in that order) and then return home. The
current airline ticket prices in $ are given in the table below.
Orlando
Atlanta
New York
Chicago
Orlando
400
480
450
Atlanta
400
360
470
New York
480
360
460
Chicago
450
470
460
a) Draw a weighted graph that represents this problem in the space below. Use the first
letter of the city when labeling each vertex.
b) Find the weight (price) of the Hamiltonian circuit formed using the nearest neighbor
algorithm. Give the vertices in the circuit in the order they are visited in the circuit as
well as the total weight (price) of the circuit. Remember to include the unit of
measure in your fin answer.
Head movement evaluations are important because disabled individuals may be able to operate communications aids using head motion. A paper reported the accompanying data on neck rotation
(in degrees) for 14 subjects both in the clockwise direction (CL) and in the counterclockwise direction (CO). For purposes of this exercise, you can assume that the 14 subjects are representative of
the population of adult Americans.
Subject:
CL:
Find the df.
df =
CO:
1
2
3
57.1 35.7 54.5
4
56.8
5
6
51.1 70.8
7
Find the test statistic. (Round your answer to two decimal places.)
t =
8
77.3 51.6
9
Use technology to find the P-value. (Round your answer to four decimal places.)
P-value =
10
11
12
13
14
44.3 52.1 60.2 52.7 47.2 65.6 71.4 48.8 53.1 66.3 59.8 47.5 64.5 34.4
Based on these data, is it reasonable to conclude that mean neck rotation is greater in the clockwise direction than in the counterclockwise direction? Carry out a hypothesis test using a significance
level of 0.01. (Use HCL - "Co.)
54.7…
QUESTION 3
A media report stated "Only 35% of all house buyers in Ireland get an engineer's report when purchasing a house
A business student surveyed a random sample from this population, i.e. 360 recent house purchasers, and asked them whether they obtained an
engineer's report. 54 said "yes" (15%) and 306 said "no" (85%).
Which ONE of the following statements is INCORRECT
O a The value 35% is a parameter and the value 360 is a statistic
O b. The value 15% is a statistic and the value 35% is a parameter
O c. The value 360 is a parameter and the value 35% is a statistic
Od The value 54 is a statistic and the value 306 is a statistic
Oo. The value 85% is a statistic and the value 15% is a statistic
Chapter 3 Solutions
Nonlinear Dynamics and Chaos
Ch. 3.1 - Prob. 1ECh. 3.1 - Prob. 2ECh. 3.1 - Prob. 3ECh. 3.1 - Prob. 4ECh. 3.1 - Prob. 5ECh. 3.2 - Prob. 1ECh. 3.2 - Prob. 2ECh. 3.2 - Prob. 3ECh. 3.2 - Prob. 4ECh. 3.2 - Prob. 5E
Ch. 3.3 - Prob. 1ECh. 3.3 - Prob. 2ECh. 3.4 - Prob. 1ECh. 3.4 - Prob. 2ECh. 3.4 - Prob. 3ECh. 3.4 - Prob. 4ECh. 3.4 - Prob. 5ECh. 3.4 - Prob. 6ECh. 3.4 - Prob. 7ECh. 3.4 - Prob. 8ECh. 3.4 - Prob. 9ECh. 3.4 - Prob. 10ECh. 3.4 - Prob. 11ECh. 3.4 - Prob. 12ECh. 3.4 - Prob. 13ECh. 3.4 - Prob. 14ECh. 3.4 - Prob. 15ECh. 3.4 - Prob. 16ECh. 3.5 - Prob. 1ECh. 3.5 - Prob. 2ECh. 3.5 - Prob. 3ECh. 3.5 - Prob. 4ECh. 3.5 - Prob. 5ECh. 3.5 - Prob. 6ECh. 3.5 - Prob. 7ECh. 3.5 - Prob. 8ECh. 3.6 - Prob. 1ECh. 3.6 - Prob. 2ECh. 3.6 - Prob. 3ECh. 3.6 - Prob. 4ECh. 3.6 - Prob. 5ECh. 3.6 - Prob. 6ECh. 3.6 - Prob. 7ECh. 3.7 - Prob. 1ECh. 3.7 - Prob. 2ECh. 3.7 - Prob. 3ECh. 3.7 - Prob. 4ECh. 3.7 - Prob. 5ECh. 3.7 - Prob. 6ECh. 3.7 - Prob. 7ECh. 3.7 - Prob. 8E
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