When the xs are equally spaced, the calculation of and can be simplified by coding the xs

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When the x€™s are equally spaced, the calculation of and can be simplified by coding the x€™s by assigning them the values . . . ,- 3,- 2,- 1, 0, 1, 2, 3, . . . when n is odd, or the values . . . ,- 5,- 3,- 1, 1, 3, 5, . . . when n is even. Show that with this coding the formulas for and become
When the x€™s are equally spaced, the calculation of
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