Soln2_v3 - 1 2 Note that sum converges quickly(see computer solu7on next page Computer solu7on done on Mathema7ca(by Robert Schaer Method 1 summing over

Soln2_v3 - 1 2 Note that sum converges quickly(see computer...

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Note that sum converges quickly (see computer solu7on next page) # 1 # 2
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A @ n_ D : = - Sum @ If @ i ã 0 && j ã 0 && k ã 0, 0, H - 1 L ^ H i + j + k L ê Sqrt @ i^2 + j^2 + k^2 DD , 8 i, - H n - 1 L , H n - 1 L< , 8 j, - H n - 1 L , H n - 1 L< , 8 k, - H n - 1 L , H n - 1 L<D - 3 * Sum @ H - 1 L ^ H i + j + n L ê Sqrt @ i^2 + j^2 + n^2 D , 8 i, - H n - 1 L , H n - 1 L< , 8 j, - H n - 1 L , H n - 1 L<D - 3 * Sum @ H - 1 L ^ H i L ê Sqrt @ i^2 + 2 * n^2 D , 8 i, - H n - 1 L , H n - 1 L<D - H - 1 L ^n ê Sqrt @ 3 D ê n N @ A @ 1 DD - 1.45603 N @ A @ 2 DD - 1.75177 N @ A @ 3 DD - 1.74704 N @ A @ 4 DD - 1.74772 N @ A @ 5 DD - 1.7475 ListPlot @ Table @ N @ A @ n DD ,
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  • Fall '15
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