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by: Tremaine Johnson


Tremaine Johnson
GPA 3.51

John Quine

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John Quine
Class Notes
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Popular in Applied Mathematics

This 1 page Class Notes was uploaded by Tremaine Johnson on Thursday September 17, 2015. The Class Notes belongs to MAP 5485 at Florida State University taught by John Quine in Fall. Since its upload, it has received 36 views. For similar materials see /class/205470/map-5485-florida-state-university in Applied Mathematics at Florida State University.

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Date Created: 09/17/15
MAP 54857 Maple Tutorial Discrete curves First open the worksheet for the Maple tutorial on discrete curvesi Exercises 1 Using the procedures for stacking matrices found in the worksheet and using the construction IdentityMatrix7 construct the matrix 1 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 0 1 0 0 0 1 1 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 0 1 0 0 0 1 2 Use the procedure plotcurve in the worksheet to plot the discrete curve 0 1 2 1 0 71 0 0 1 2 3 2 1 0 0 1 0 71 72 71 0 This is the chair form of cyclohexanei Can you see why it is called the chair orm 3 Use the torsion angle and bond angle procedures to nd the torsion an gles and bond angles for cyclohexanei What are the distances between consecutive atomsi Look at the drawing by Pauling of the alpha helixi Verify that there are 13 atoms in the cycle of atoms formed by the hydrogen bond and that the exterior bond angles are approximately 07 607 607 707 607 607 707 607 607 707 607 607 0 and the torsion angles are approximately 10704571117 1807 7 7 18074157111707 07 01A For simplicity7 take all bond lengths equal to 1 For simplicity we are assuming all 45 torsion angles are the same and all 1 torsion angles are the same Using the procedures in the worksheet construct an expression distance of the oxygen from the hydrogen as a function of 45 and Do a 3D plot of this function and try to determine 45 and 1 for which the function is a minimumi A g V


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