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Differential Equations Solutions 60

Differential Equations Solutions 60 - Q(blue plusses and...

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70 Chapter 12. Solutions: Case Study: Achieving a Common Viewpoint 20 40 60 80 100 120 -2 -1 0 1 2 sample number angle(radians) Problem 2 20 40 60 80 100 120 10 -4 10 -3 10 -2 10 -1 sample number error Problem 2 20 40 60 80 100 120 -2 -1 0 1 2 3 sample number angle(radians) Problem 4 20 40 60 80 100 120 10 -16 10 -15 10 -14 sample number error Problem 4 Figure 12.1. Results of Challenge 2 (left) and Challenge 4 (right). The top graphs show the computed yaw (blue plusses), pitch (green circles), and roll (red x’s), and the bottom graphs show the error in
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Unformatted text preview: Q (blue plusses) and the error in the rotated positions (green circles). digit accuracy is achieved for the angles and positions, but trouble is observed when the pitch is close to vertical ( ± π/ 2). CHALLENGE 12.3. (a) Suppose that C is m × n . The Frst fact follows from trace( C T C ) = n X k =1 ( m X i =1 c 2 ik ) = n X k =1 m X i =1 c 2 ik = ² C ² 2 F ....
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